//Steve Young, Bryant Villasana, Daniel Gonzalez
//Computer Programming 3
//Date: Next 15 days
//Program: Final Program
#include <dos.h>
#include <stdio.h>
#include <conio.h>
#include <string.h>
#include <stdlib.h>
#include <iomanip.h>
#include <ctype.h>
#include <math.h>
#include <graphics.h>
#include <fstream.h>
#include <process.h>
#include <time.h>
#include <iostream.h>

int choice, score, x;
float score2;
int driver = VGA;
int mode = VGAHI;
char  ans[2];

void sound();
void grade();
void title();
void algebranotes();
void algebra1();
void algebra2();
void geometrynotes();
void geometry();
void precalnotes();
void precal();

void sound()
{for(x = 3000; x >= 500; x=x-1000)
	 {sound(x); delay(50); nosound();}}



void grade()
{
 float denom = 20;
 if(choice == 3){denom = 15;}
 clrscr();
 cout<<"You have finished the test!!!"<<endl<<endl<<endl;
 cout<<"Here is how your score turned out..."<<endl<<endl<<endl;
 cout<<"You got this many right: "<<score<<endl<<endl<<endl<<endl;
 score2=(score/denom)*100;
 cout<<"The percentage that you got right it: "<<setprecision(2)<<score2<<"%"<<endl<<endl<<endl;
 cout<<"Please press any key to go back to the menu...."<<endl;
 getch();
 title();
}



void title()
{
 clrscr();
 score = 0;
 cout<<"                                   MENU";
 cout<<endl<<endl;
 cout<<"1 - ALGEBRA TUTORIAL"<<endl;
 cout<<"2 - ALGEBRA 1 TEST"<<endl;
 cout<<"3 - ALGEBRA 2 TEST"<<endl;
 cout<<"4 - GEOMETRY TUTORIAL"<<endl;
 cout<<"5 - GEOMETRY TEST"<<endl;
 cout<<"6 - PRE-CALCULUS TUTORIAL"<<endl;
 cout<<"7 - PRE-CALCULUS TEST"<<endl;
 cout<<"8 - QUIT"<<endl;
 cout<<endl<<endl<<"Choose one please:  ";
 cin>>choice;
 switch(choice)
	{
	case 1: algebranotes(); break;
	case 2: algebra1(); break;
	case 3: algebra2(); break;
	case 4: geometrynotes(); break;
	case 5: geometry(); break;
	case 6: precalnotes(); break;
	case 7: precal(); break;
	case 8: break;
	default: title(); break;
	}

}

void algebranotes()
{
cout<<"                       Algebra I and II Formulas  "<<endl;
cout<<"ï = sub n"<<endl;
cout<<"­ = sub 1"<<endl;
cout<<"§ = sub 0"<<endl<<endl;
cout<<"Factors and zeros of Polynomials"<<endl;
cout<<"Let p(x)=aïxü+a(ï-1)x^(n-1)+...+a­x+a§ be a polynomial.  If p(a) = 0, then "<<endl;
cout<<"a is a zero of the polynomial and a solution of the equation p(x) = 0."<<endl;
cout<<"Furthermore, (x-a) is a factor of the polynomial."<<endl<<endl;
cout<<"Fundamental Theorem of Algebra"<<endl;
cout<<"An nth degree polynomial has n (not necessarily distinct) zeros.  Although all"<<endl;
cout<<"of these zeros may be imaginary, a real polynomial of odd degree must have at"<<endl;
cout<<"least one real zero."<<endl<<endl;
cout<<"Quadratic Formula"<<endl;
cout<<"If p(x) = axý+bx+c, and 0 ó bý-4ac, then the real zeros of p are"<<endl;
cout<<"x = (-b ñ û(bý-4ac)) / 2a" <<endl<<endl;
cout<<"Special Factors"<<endl;
cout<<"xý - aý=(x-a)(x+a)                  x^3 - a^3=(x-a)(xý+ax+aý)"<<endl;
cout<<"x^3 + a^3=(x+a)(xý-ax+aý)           x^4 - a^4=(xý-aý)(xý+aý)"<<endl<<endl;
cout<<"Please press any key to see more formulas....";
getch();
clrscr();
cout<<"ï = sub n"<<endl;
cout<<"­ = sub 1"<<endl;
cout<<"§ = sub 0"<<endl<<endl;
cout<<"Binomial Theorem"<<endl;
cout<<"(x+y)ý = xý + 2xy + yý"<<endl;
cout<<"(x-y)ý = xý - 2xy + yý"<<endl;
cout<<"(x+y)^3 = x^3 + 3xýy + 3xyý + y^3"<<endl;
cout<<"(x-y)^3 = x^3 - 3xýy + 3xyý - y^3"<<endl;
cout<<"(x+y)^4 = x^4 + 4x^3y + 6xýyý + 4xy^3 +y^4"<<endl;
cout<<"(x-y)^4 = x^4 - 4x^3y + 6xýyý - 4xy^3 + y^4"<<endl;
cout<<"(x+y)ü = xü + nx^(n-1)y + [n(n-1) / 2!] x^(n-2)yý+...+ nxy^(n-1) + yü"<<endl;
cout<<"(x-y)ü = xü - nx^(n-1)y + [n(n-1) / 2!] x^(n-2)yý-...ñ nxy^(n-1) -/+ yü"<<endl<<endl;
cout<<"Rational Zero Therom"<<endl;
cout<<"If p(x) = aïxü + a(ï-1)x^(n-1)+...+a­x + a§ has integer coefficients, then"<<endl;
cout<<"every rational zero of p is of the form x=r/s, where r is a factor od a§ "<<endl;
cout<<"and s is a factor of aï."<<endl<<endl;
cout<<"Factoring by Grouping"<<endl;
cout<<"acx^3 + adxý+ bcx + bd = axý(cx + d) + b(cx +d) = (axý + b)(cx + d)"<<endl<<endl<<endl;
cout<<"Please Press any key to see more formulas....";
getch();
clrscr();
cout<<"ï = sub n"<<endl;
cout<<"­ = sub 1"<<endl;
cout<<"§ = sub 0"<<endl<<endl;
cout<<"Arithmetic Operations"<<endl;
cout<<"ab + ac = a(b+c)"<<endl;
cout<<"(a/b) + (c/d) = [(ad)+(bc)]/bd"<<endl;
cout<<"(a+b)/c = a/c + b/c"<<endl;
cout<<"(a/b)/(c/d) = (a/b)(d/c) = (ad)/(bc)"<<endl;
cout<<"(a/b)/c = a/(bc)"<<endl;
cout<<"a/(b/c) = (ac)/b"<<endl;
cout<<"a(b/c) = (ab)/c"<<endl;
cout<<"(a-b)/(c-d) = (b-a)/(d-c)"<<endl;
cout<<"(ab) + (ac)/a = b + c"<<endl<<endl;
cout<<"Exponents and Radicals"<<endl;
cout<<"a^0 = 1, a Ø 0"<<endl;
cout<<"(ab)^x = (a^x)(b^x)"<<endl;
cout<<"(a^x)(a^y) = a^(x+y)"<<endl;
cout<<"ûa = a^(1/2)"<<endl;
cout<<"(a^x)/(a^y) = a^(x-y)"<<endl;
cout<<"(a/b)^x = (a^x)/(b^x)"<<endl;
cout<<"a^(-x) = (1/a^x)"<<endl;
cout<<"(a^x)^y = a^(xy)"<<endl;
cout<<"Please press any key to see more formulas.....";
getch();
clrscr();
cout<<"Conics Formulas"<<endl<<endl;
cout<<"Parabolas at (0,0)"<<endl;
cout<<"Up/Down                      Left/Right"<<endl;
cout<<"Standard form: xý=4py        Standard form: yý=4px"<<endl;
cout<<"p>0,up  p<0, down            p>0,right p<0,left"<<endl;
cout<<"Focus (0,p)                  Focus (p,0)"<<endl;
cout<<"Directrix y=-p               Directrix x=-p"<<endl;
cout<<"Axis of symmetry x=0         Axis of symmetry y=0"<<endl;
cout<<"latus rectum: ³4p³           latus rectum: ³4p³"<<endl<<endl;
cout<<"Parabolas at (h,k)"<<endl;
cout<<"Up/Down                      Left/Right"<<endl;
cout<<"General Form:                General Form:"<<endl;
cout<<"Axý+Bx+Cy+D=0                Ayý+By+Cx+D=0"<<endl;
cout<<"Standard Form:               Standard form:"<<endl;
cout<<"(x-h)ý=4p(y-k)               (y-k)ý=4p(x-h)"<<endl;
cout<<"p>0,up  p<0, down            p>0,right  p<0,left"<<endl;
cout<<"Focus (h, k+p)               Focus (h+p, k)"<<endl;
cout<<"Directrix y=k-p              Directrix x=h-p"<<endl;
cout<<"Axis of symmetry x=h         Axis of symmetry y=k"<<endl;
cout<<"latus rectum: ³4p³           latum rectum: ³4p³"<<endl<<endl<<endl;
cout<<"Please press any key to see more formulas.....";
getch();
clrscr();
cout<<"Ellipses at (0,0)               Ellipses at (h,k)"<<endl;
cout<<"Standard Form:                  Standard Form:"<<endl;
cout<<"(xý/aý)+(yý/bý) = 1             [(x-h)ý]/aý + [(y-k)ý]/bý = 1"<<endl;
cout<<"Vertices: (ña,0) (0,ñb)         Vertices: (hña,k) (h,kñb) "<<endl;
cout<<"If major x-axis, foci: (ñc, 0)  If m. axis parallel to x-axis, foci: (hñc,k)"<<endl;
cout<<"If major y-axis, foci: (0, ñc)  If m. axis parallel to y-axis, foci: (h, kñc"<<endl;
cout<<"Cý=³aý-bý³                      cý = ³aý - bý³"<<endl;
cout<<"eccentricity: (c/a) or (c/b)"<<endl;
cout<<"General Form:  Axý+Bx+Cyý+Dy+E=0, where C>0 and AØC"<<endl<<endl;
cout<<"Circles at (0,0)                 Circles at (h,k)"<<endl;
cout<<"Standard form:                   Standard Form:"<<endl;
cout<<"xý+yý=rý                         (x-h)ý+(y-k)ý=rý"<<endl;
cout<<"where r is the radius            where r is the radius"<<endl;
cout<<"General Form:  Axý+Bx+Ayý+Cy+D=0"<<endl<<endl;
cout<<"Hyperbolas at (0,0)"<<endl;
cout<<"Side to Side                     Up and Down"<<endl;
cout<<"Standard Form:                   Standard Form:"<<endl;
cout<<"(xý/bý)-(yý/bý)=1                (yý/bý)-(xý/aý)=1"<<endl;
cout<<"Vertices:  (ña,0)                Vertices:  (0,ñb)"<<endl;
cout<<"cý=aý+bý                         cý=aý+bý"<<endl;
cout<<"Foci: (ñc,0)                     Foci:  (0,ñc)"<<endl;
cout<<"Asymptotes y=ñ(b/x)x             Asymptotes y=ñ(b/a)x"<<endl;
getch();
title();
}



void algebra1()
{
clrscr();
cout<<"\t\t\t\tAlgebra 1 Test"<<endl<<endl;
cout<<"1) Evaluate 2xý + 7x - 4 if, x = 3"<<endl<<endl<<endl;
cout<<" (a) 14"<<endl<<endl;
cout<<" (b) 25"<<endl<<endl;
cout<<" (c) 35"<<endl<<endl;
cout<<" (d) 42"<<endl<<endl;
cout<<" (e) 9"<<endl<<endl;
cin>>ans;
if(strcmp(ans,"c")==0)
	{
	cout<<"That is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
	score++; sound();
	}
cout<<"Please press any key to continue..."<<endl;
getch();
clrscr();
cout<<endl<<"2) Solve for x, 9x = 54"<<endl<<endl<<endl;
cout<<" (a) 6"<<endl<<endl;
cout<<" (b) 14"<<endl<<endl;
cout<<" (c) 24"<<endl<<endl;
cout<<" (d) 4"<<endl<<endl;
cout<<" (e) 8"<<endl<<endl;
cin>>ans;
if(strcmp(ans,"a")==0)
	{
	cout<<"That is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
	score++; sound();
	}
cout<<"Please press any key to continue..."<<endl;
getch();
clrscr();
cout<<endl<<"3) Evaluate the expression, -2^4"<<endl<<endl<<endl;
cout<<" (a) 16"<<endl<<endl;
cout<<" (b) -16"<<endl<<endl;
cout<<" (c) 32"<<endl<<endl;
cout<<" (d) 2"<<endl<<endl;
cout<<" (e) 8"<<endl<<endl;
cin>>ans;
if(strcmp(ans,"b")==0)
	{
	cout<<"That is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
	score++; sound();
	}
cout<<"Please press any key to continue..."<<endl;
getch();
clrscr();
cout<<endl<<"4) Solve, 9 - 7x = 51, x ="<<endl<<endl<<endl;
cout<<" (a) 32"<<endl<<endl;
cout<<" (b) 6"<<endl<<endl;
cout<<" (c) -4"<<endl<<endl;
cout<<" (d) -10"<<endl<<endl;
cout<<" (e) -6"<<endl<<endl;
cin>>ans;
if(strcmp(ans,"e")==0)
	{
	cout<<"That is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
	score++; sound();
	}
cout<<"Please press any key to continue..."<<endl;
getch();
clrscr();
cout<<endl<<"5) Simplify expression, (1/5)(35x - 50y) - (1/4)(24x - 20y)"<<endl<<endl<<endl;
cout<<" (a) 5y"<<endl<<endl;
cout<<" (b) x"<<endl<<endl;
cout<<" (c) x - 5y"<<endl<<endl;
cout<<" (d) y - 10x"<<endl<<endl;
cout<<" (e) 5x - 15y"<<endl<<endl;
cin>>ans;
if(strcmp(ans,"c")==0)
	{
	cout<<"That is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
	score++; sound();
	}
cout<<"Please press any key to continue..."<<endl;
getch();
clrscr();
cout<<endl<<"6) Factor out common factor, 5xý - 3x"<<endl<<endl<<endl;
cout<<" (a) 5x(x - 3)"<<endl<<endl;
cout<<" (b) 3(xý - 1)"<<endl<<endl;
cout<<" (c) 15(xý + x)"<<endl<<endl;
cout<<" (d) x(5x - 3)"<<endl<<endl;
cout<<" (e) (5 - x)(3 - x)"<<endl<<endl;
cin>>ans;
if(strcmp(ans,"d")==0)
	{
	cout<<"That is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
	score++; sound();
	}
cout<<"Please press any key to continue..."<<endl;
getch();
clrscr();
cout<<endl<<"7) Solve the equation, 2(4c - 7) = 8c + 14, c ="<<endl<<endl<<endl;
cout<<" (a) 14"<<endl<<endl;
cout<<" (b) 3"<<endl<<endl;
cout<<" (c) 22"<<endl<<endl;
cout<<" (d) 7"<<endl<<endl;
cout<<" (e) no solution"<<endl<<endl;
cin>>ans;
if(strcmp(ans,"e")==0)
	{
	cout<<"That is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
	score++; sound();
	}
cout<<"Please press any key to continue..."<<endl;
getch();
clrscr();
cout<<endl<<"8) Solve for x, 3x + 12y = 57"<<endl<<endl<<endl;
cout<<" (a) 3y"<<endl<<endl;
cout<<" (b) 19 - 4y"<<endl<<endl;
cout<<" (c) 22 - 3y"<<endl<<endl;
cout<<" (d) 13 + 2y"<<endl<<endl;
cout<<" (e) 17"<<endl<<endl;
cin>>ans;
if(strcmp(ans,"b")==0)
	{
	cout<<"That is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
	score++; sound();
	}
cout<<"Please press any key to continue..."<<endl;
getch();
clrscr();
cout<<endl<<"9) Multiply, (3x + 4)(5x + 1)"<<endl<<endl<<endl;
cout<<" (a) 15xý + 23x + 4"<<endl<<endl;
cout<<" (b) 5xý - 14x + 4"<<endl<<endl;
cout<<" (c) 12xý + 5x + 3"<<endl<<endl;
cout<<" (d) 3xý + 20x + 5"<<endl<<endl;
cout<<" (e) xý + x + 1"<<endl<<endl;
cin>>ans;
if(strcmp(ans,"a")==0)
	{
	cout<<"That is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
	score++; sound();
	}
cout<<"Please press any key to continue..."<<endl;
getch();
clrscr();
cout<<endl<<"10) Factor the expression, xý - 22x - 40"<<endl<<endl<<endl;
cout<<" (a) (x - 4)(x + 10)"<<endl<<endl;
cout<<" (b) (x - 2)(x - 20)"<<endl<<endl;
cout<<" (c) (x + 1)(x + 40)"<<endl<<endl;
cout<<" (d) (x - 5)(x - 8)"<<endl<<endl;
cout<<" (e) prime"<<endl<<endl;
cin>>ans;
if(strcmp(ans,"e")==0)
	{
	cout<<"That is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
	score++; sound();
	}
cout<<"Please press any key to continue..."<<endl;
getch();
clrscr();
cout<<endl<<"11) Evaluate the constant expression, 4 + 2 ù 3 + 5"<<endl<<endl<<endl;
cout<<" (a) 16"<<endl<<endl;
cout<<" (b) 15"<<endl<<endl;
cout<<" (c) 9"<<endl<<endl;
cout<<" (d) 20"<<endl<<endl;
cout<<" (e) 14"<<endl<<endl;
cin>>ans;
if(strcmp(ans,"b")==0)
	{
	cout<<"That is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
	score++; sound();
	}
cout<<"Please press any key to continue..."<<endl;
getch();
clrscr();
cout<<endl<<"12) Solve for x, ³3x - 7³ = -25"<<endl<<endl<<endl;
cout<<" (a) 12"<<endl<<endl;
cout<<" (b) 6"<<endl<<endl;
cout<<" (c) 3"<<endl<<endl;
cout<<" (d) 15"<<endl<<endl;
cout<<" (e) no solution"<<endl<<endl;
cin>>ans;
if(strcmp(ans,"e")==0)
	{
	cout<<"That is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
	score++; sound();
	}
cout<<"Please press any key to continue..."<<endl;
getch();
clrscr();
cout<<endl<<"13) Solve by substitution, 5x - y = -3"<<endl;
cout<<"\t\t\t   3x + 8y = 24"<<endl<<endl<<endl;
cout<<" (a) y = 2, x = 0"<<endl<<endl;
cout<<" (b) y = 3, x = 1"<<endl<<endl;
cout<<" (c) y = 3, x = 0"<<endl<<endl;
cout<<" (d) y = -2, x = -4"<<endl<<endl;
cout<<" (e) y = -4, x = -2"<<endl<<endl;
cin>>ans;
if(strcmp(ans,"c")==0)
	{
	cout<<"That is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
	score++; sound();
	}
cout<<"Please press any key to continue..."<<endl;
getch();
clrscr();
cout<<endl<<"14) Simplify, (5x^8)(7x^9)"<<endl<<endl<<endl;
cout<<" (a) 40x^17"<<endl<<endl;
cout<<" (b) 35x^17"<<endl<<endl;
cout<<" (c) 35x^72"<<endl<<endl;
cout<<" (d) 30x^10"<<endl<<endl;
cout<<" (e) 35x^15"<<endl<<endl;
cin>>ans;
if(strcmp(ans,"b")==0)
	{
	cout<<"That is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
	score++; sound();
	}
cout<<"Please press any key to continue..."<<endl;
getch();
clrscr();
cout<<endl<<"15) Solve by factoring, 3xý + 4x + 1 = 0"<<endl<<endl<<endl;
cout<<" (a) x = 0, 1"<<endl<<endl;
cout<<" (b) x = -1, 2"<<endl<<endl;
cout<<" (c) x = -1/3, -1"<<endl<<endl;
cout<<" (d) x = -3, 3"<<endl<<endl;
cout<<" (e) x = -4, -2"<<endl<<endl;
cin>>ans;
if(strcmp(ans,"c")==0)
	{
	cout<<"That is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
	score++; sound();
	}
cout<<"Please press any key to continue..."<<endl;
getch();
clrscr();
cout<<endl<<"16) Simplify, (xý + 7x + 10)/(xý - 25)"<<endl<<endl<<endl;
cout<<" (a) (x + 2)/(x - 5)"<<endl<<endl;
cout<<" (b) (x - 5)/(x + 2)"<<endl<<endl;
cout<<" (c) (x + 2)/(x + 5)"<<endl<<endl;
cout<<" (d) (x - 2)/(x - 5)"<<endl<<endl;
cout<<" (e) (x - 2)/(x + 5)"<<endl<<endl;
cin>>ans;
if(strcmp(ans,"a")==0)
	{
	cout<<"That is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
	score++; sound();
	}
cout<<"Please press any key to continue..."<<endl;
getch();
clrscr();
cout<<endl<<"17) Simplify, 9û28 - û28"<<endl<<endl<<endl;
cout<<" (a) 8û7"<<endl<<endl;
cout<<" (b) û7"<<endl<<endl;
cout<<" (c) 16"<<endl<<endl;
cout<<" (d) 28"<<endl<<endl;
cout<<" (e) 16û7"<<endl<<endl;
cin>>ans;
if(strcmp(ans,"e")==0)
	{
	cout<<"That is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
	score++; sound();
	}
cout<<"Please press any key to continue..."<<endl;
getch();
clrscr();
cout<<endl<<"18) Simplify, [(x^3x^-5y^4)/(y^-6)]^-3"<<endl<<endl<<endl;
cout<<" (a) (x^6)/(y^30)"<<endl<<endl;
cout<<" (b) (y^30)/(x^6)"<<endl<<endl;
cout<<" (c) x^6y^30"<<endl<<endl;
cout<<" (d) y^6x^30"<<endl<<endl;
cout<<" (e) x^30"<<endl<<endl;
cin>>ans;
if(strcmp(ans,"a")==0)
	{
	cout<<"That is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
	score++; sound();
	}
cout<<"Please press any key to continue..."<<endl;
getch();
clrscr();
cout<<endl<<"19) Factor, xý + 10x + 25"<<endl<<endl<<endl;
cout<<" (a) (x - 5)(x + 5)"<<endl<<endl;
cout<<" (b) (x - 5)ý"<<endl<<endl;
cout<<" (c) (x + 5)"<<endl<<endl;
cout<<" (d) (x + 5)ý"<<endl<<endl;
cout<<" (e) (x - 5)"<<endl<<endl;
cin>>ans;
if(strcmp(ans,"d")==0)
	{
	cout<<"That is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
	score++; sound();
	}
cout<<"Please press any key to continue..."<<endl;
getch();
clrscr();
cout<<endl<<"20) Simplify, [(xý + x - 6)/(xý + 3x - 10)]ù[(xý - 8x +15)/(9 - xý)]"<<endl<<endl<<endl;
cout<<" (a) (x + 3)/(x - 5)"<<endl<<endl;
cout<<" (b) (x - 2)/(3 - x)"<<endl<<endl;
cout<<" (c) (x - 5)/(x - 2)"<<endl<<endl;
cout<<" (d) (5 - x)/(x + 5)"<<endl<<endl;
cout<<" (e) can't simplify"<<endl<<endl;
cin>>ans;
if(strcmp(ans,"d")==0)
	{
	cout<<"That is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
	score++; sound();
	}
cout<<"Please press any key to continue..."<<endl;
getch();

grade();
}



void algebra2()
{
clrscr();
cout<<"Welcome to the Algebra II Portion of the test."<<endl<<endl<<endl;
cout<<"(1)  Solve for x  and y:   3x - 2y = -25 and 4x + 5y = 28"<<endl<<endl<<endl;
cout<<"(a) x=4 and y=10"<<endl<<endl;
cout<<"(b) x=-3 and y=8"<<endl<<endl;
cout<<"(c) x=1 and y=-3"<<endl<<endl;
cout<<"(d) x=6 and y=9"<<endl<<endl;
cout<<"What is your answer? "<<endl;
cin>>ans;
if (strcmp(ans,"b")==0)
{cout<<"That is correct!!!   Good Job!!"<<endl<<endl<<endl<<endl;
score++;sound();}
cout<<"Please press any key to continue....."<<endl;
getch();
clrscr();
cout<<"Welcome to the Algebra II Portion of the test."<<endl<<endl<<endl;
cout<<"(2)  Factor xý + 7x + 14"<<endl<<endl<<endl;
cout<<"(a) (x+2)(x-7)"<<endl<<endl;
cout<<"(b) (x-2)(x+7)"<<endl<<endl;
cout<<"(c) (x+3)(x-4)"<<endl<<endl;
cout<<"(d) Unsolvable"<<endl<<endl;
cout<<"What is your answer? "<<endl;
cin>>ans;
if (strcmp(ans,"d")==0)
{cout<<"That is correct!!!   Good Job!!"<<endl<<endl<<endl<<endl;
score++;sound();}
cout<<"Please press any key to continue....."<<endl;
getch();
clrscr();
cout<<"Welcome to the Algebra II Portion of the test."<<endl<<endl<<endl;
cout<<"(3) Find the specified term..."<<endl;
cout<<"Ninth term of 1, 3, 9, 27, ...."<<endl<<endl<<endl;
cout<<"(a) 1235"<<endl<<endl;
cout<<"(b) 789"<<endl<<endl;
cout<<"(c) 6561"<<endl<<endl;
cout<<"(d) Infinity"<<endl<<endl;
cout<<"What is your answer?"<<endl;
cin>>ans;
if (strcmp(ans,"c")==0)
{cout<<"That is correct!!!   Good Job!!"<<endl<<endl<<endl<<endl;
score++;sound();}
cout<<"Please press any key to continue....."<<endl;
getch();
clrscr();
cout<<"Welcome to the Algebra II Portion of the test."<<endl<<endl<<endl;
cout<<"(4) Find the specified term..."<<endl;
cout<<"Forty-seventh term of 6, 8, 10, ..."<<endl;
cout<<"(a) 98"<<endl<<endl;
cout<<"(b) 99"<<endl<<endl;
cout<<"(c) 56"<<endl<<endl;
cout<<"(d) 101"<<endl<<endl;
cout<<"What is your answer?"<<endl;
cin>>ans;
if (strcmp(ans,"a")==0)
{cout<<"That is correct!!! Good job!!"<<endl<<endl<<endl<<endl;
score++;sound();}
cout<<"Please press any key to continue....."<<endl;
getch();
clrscr();
cout<<"Welcome to the Algebra II Portion of the test."<<endl<<endl<<endl;
cout<<"(5) Find the specified term..."<<endl;
cout<<"Sixty-first term of the sequence for which t1=4, r=.95"<<endl<<endl<<endl;
cout<<"(a) 14"<<endl<<endl;
cout<<"(b) 65"<<endl<<endl;
cout<<"(c) 61"<<endl<<endl;
cout<<"(d) 693"<<endl<<endl;
cout<<"What is your answer?"<<endl;
cin>>ans;
if (strcmp(ans,"c")==0)
{cout<<"That is correct!!! Good Job!!"<<endl<<endl<<endl<<endl;
score++;sound();}
cout<<"Please press any key to continue...."<<endl;
getch();
clrscr();
cout<<"Welcome to the Algebra II Portion of the test."<<endl<<endl<<endl;
cout<<"(6) Write as a ratio of two integers  0.29292929292929..."<<endl<<endl<<endl;
cout<<"(a) 29/99"<<endl<<endl;
cout<<"(b) 29/66"<<endl<<endl;
cout<<"(c) 33/47"<<endl<<endl;
cout<<"(d) 123/57"<<endl<<endl;
cout<<"What is your anser?"<<endl;
cin>>ans;
if (strcmp(ans,"a")==0)
{cout<<"This is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
score++; sound();}
cout<<"Please press any key to continue...."<<endl;
getch();
clrscr();
cout<<"Welcome to the Algebra II Portion of the test."<<endl<<endl<<endl;
cout<<"(7) Write as a ratio of two integers  0.3636363636363636...."<<endl<<endl<<endl;
cout<<"(a) 32/66"<<endl<<endl;
cout<<"(b) 36/99"<<endl<<endl;
cout<<"(c) 119/47"<<endl<<endl;
cout<<"(d) 120/60"<<endl<<endl;
cout<<"What is your answer?"<<endl;
cin>>ans;
if (strcmp(ans,"b")==0)
{cout<<"This is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
score++;sound();}
cout<<"Please press any key to continue...."<<endl;
getch();
clrscr();
cout<<"Welcome to the Algebra II Portion of the test."<<endl<<endl<<endl;
cout<<"(8) Write in factorial form"<<endl;
cout<<"10 * 9 * 8 * 7"<<endl<<endl<<endl;
cout<<"(a) 10!/6!"<<endl<<endl;
cout<<"(b) 20!/12!"<<endl<<endl;
cout<<"(c) 50!/20!"<<endl<<endl;
cout<<"(d) 22!/32!"<<endl<<endl;
cout<<"What is your answer?"<<endl;
cin>>ans;
if (strcmp(ans,"a")==0)
{cout<<"This is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
score++;sound();}
cout<<"Please press any key to continue...."<<endl;
getch();
clrscr();
cout<<"Welcome to the Algebra II Portion of the test."<<endl<<endl<<endl;
cout<<"(9) Write in factorial form"<<endl;
cout<<"93 * 92 * 91"<<endl<<endl<<endl;
cout<<"(a) 110!/10!"<<endl<<endl;
cout<<"(b) 78!/14!"<<endl<<endl;
cout<<"(c) 93!/90!"<<endl<<endl;
cout<<"(d) 14!/10!"<<endl<<endl;
cout<<"Whis is your answer?"<<endl;
cin>>ans;
if (strcmp(ans,"c")==0)
{cout<<"This is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
score++;sound();}
cout<<"Please press any key to continue...."<<endl;
getch();
clrscr();
cout<<"Welcome to the Algebra II Portion of the test."<<endl<<endl<<endl;
cout<<"(10) Solve for x:"<<endl;
cout<<"(1/xý-x-2)=(2/x-2)+(1/x+2)"<<endl<<endl<<endl;
cout<<"(a) -15"<<endl<<endl;
cout<<"(b) -2/3"<<endl<<endl;
cout<<"(c) -1"<<endl<<endl;
cout<<"(d) 14/7"<<endl<<endl;
cout<<"What is your answer?"<<endl;
cin>>ans;
if (strcmp(ans,"b")==0)
{cout<<"This is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
score++;sound();}
cout<<"Please press any key to continue...."<<endl;
getch();
clrscr();
cout<<"Welcome to the Algebra II Portion of the test."<<endl<<endl<<endl;
cout<<"(11) Simplify:  i^-23"<<endl<<endl<<endl;
cout<<"(a) i"<<endl<<endl;
cout<<"(b) -i"<<endl<<endl;
cout<<"(c) 1"<<endl<<endl;
cout<<"(d) -1"<<endl<<endl;
cout<<"What is your answer?"<<endl;
cin>>ans;
if (strcmp(ans,"d")==0)
{cout<<"This is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
score++;sound();}
cout<<"Please press any key to continue...."<<endl;
getch();
clrscr();
cout<<"Welcome to the Algebra II Portion of the test."<<endl<<endl<<endl;
cout<<"(12) Simplify: (50)/(3+4i)"<<endl<<endl;
cout<<"(a) 6 + 8i"<<endl<<endl;
cout<<"(b) 10 + 6i"<<endl<<endl;
cout<<"(c) 46 - 13i"<<endl<<endl;
cout<<"(d) 8 * 4i"<<endl<<endl;
cout<<"What is your answer?"<<endl;
cin>>ans;
if (strcmp(ans,"a")==0)
{cout<<"This is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
score++;sound();}
cout<<"Please press any key to continue...."<<endl;
getch();
clrscr();
cout<<"Welcome to the Algebra II Portion of the test."<<endl<<endl<<endl;
cout<<"(13) Factor: 2xý - 11x + 12"<<endl<<endl;
cout<<"(a) (2x-3)(x-4)"<<endl<<endl;
cout<<"(b) (12x-3)(4x+2)"<<endl<<endl;
cout<<"(c) (46x+2)(12x-3)"<<endl<<endl;
cout<<"(d) (3x+2)(2x+5)"<<endl<<endl;
cout<<"What is your answer?"<<endl;
cin>>ans;
if (strcmp(ans,"a")==0)
{cout<<"This is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
score++;sound();}
cout<<"Please press any key to continue...."<<endl;
getch();
clrscr();
cout<<"Welcome to the Algebra II Portion of the test."<<endl<<endl<<endl;
cout<<"(14) Using the model involves finding x or y when the other is given."<<endl;
cout<<"If f(x) = 3x + 7, find f(-4)"<<endl<<endl;
cout<<"(a) 4"<<endl<<endl;
cout<<"(b) -4"<<endl<<endl;
cout<<"(c) 8"<<endl<<endl;
cout<<"(d) -8"<<endl<<endl;
cout<<"What is your answer?"<<endl;
cin>>ans;
if (strcmp(ans,"b")==0)
{cout<<"This is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
score++;sound();}
cout<<"Please press any key to continue...."<<endl;
getch();
clrscr();
cout<<"Welcome to the Algebra II Portion of the test."<<endl<<endl<<endl;
cout<<"(15) Using the model involves finding x or y when the other is given."<<endl;
cout<<"If g(x) = 5xý - 3x + 6, find g(7)."<<endl<<endl;
cout<<"(a) 105"<<endl<<endl;
cout<<"(b) 224"<<endl<<endl;
cout<<"(c) -52"<<endl<<endl;
cout<<"(d) -169"<<endl<<endl;
cout<<"What is your answer?"<<endl;
cin>>ans;
if (strcmp(ans,"b")==0)
{cout<<"This is correct!!!  Good Job!!"<<endl<<endl<<endl<<endl;
score++; sound();}
cout<<"Please press any key to continue...."<<endl;
getch();
grade();
}



void geometrynotes()
{
clrscr();
cout<<"   THE COORDINATE PLANE"<<endl;
cout<<"                               Every point in the coordinate plane can be      "<<endl;
cout<<"            4 Å                denoted by an ordered pair consisting of two    "<<endl;
cout<<"              ³                numbers. The first number is the X-COORDINATE,  "<<endl;
cout<<"            3 Å                and the second number is the Y-COORDINATE.      "<<endl;
cout<<"              ³                "<<endl;
cout<<"            2 Å    .A          To determine the coordinates:                   "<<endl;
cout<<"              ³                 1. Start at the origin and count the number of "<<endl;
cout<<"         .C 1 Å                    units to the right(+) or left(-). This is X."<<endl;
cout<<"ÄÄÄÅÄÄÅÄÄÅÄÄÅÄÅÄÅÄÄÅÄÄÅÄÄÅÄÄÄ   2. Then count the number of units up(+) or     "<<endl;
cout<<"  -4 -3 -2 -1 Å 1  2  3  4         down(-). This is Y.                         "<<endl;
cout<<"              ³                    Note: If no movement then value is zero(0). "<<endl;
cout<<"           -2 Å                "<<endl;
cout<<"              ³                The ordered pair for A is (2,2).  " <<endl;
cout<<"      .B   -3 Å                The ordered pair for B is (-3,-3)." <<endl;
cout<<"              ³                The ordered pair for C is (-2,1). " <<endl;
cout<<"           -4 Å       .D       The ordered pair for D is (3,-4). " <<endl;
cout<<""<<endl;
cout<<"Points, lines, and planes can be related in many different ways. Figures can be"<<endl;
cout<<"used to show relationships. When two figures have one or more points in common,"<<endl;
cout<<"the figures are said to INTERSECT. When points lie on the same line, the points"<<endl;
cout<<"are said to be COLLINEAR. Whe points lie in the same plane, the points are said"<<endl;
cout<<"to be COPLANAR.                                                                "<<endl;
gotoxy(1,25);
cout<<"Press any key to continue...";
getch();

clrscr();
cout<<"To find the distance between two points, (X1,Y1) and (X2,Y2):"<<endl;
cout<<" D = û([X2 - X1]ý + [Y2 - Y1]ý)"<<endl;
cout<<"The coordinate of the midpoint between points (X1,Y1) and (X2,Y2):"<<endl;
cout<<" M =( (X1 + X2)/2 , (Y1 + Y2)/2 )"<<endl;
cout<<""<<endl;
cout<<"An ANGLE is formed by two noncollinear rays with a common endpoint, or VERTEX."<<endl;
cout<<"RIGHT ANGLE: angle measure EQUAL TO 90ø."<<endl;
cout<<"ACUTE ANGLE: angle measure LESS THAN 90ø."<<endl;
cout<<"OBTUSE ANGLE:angle measure GREATER THAN 90ø."<<endl;
cout<<"CONGRUENT ANGLES: two or more angles with equal measure."<<endl;
cout<<"ANGLE BISECTOR: a ray which has an endpoint on the vertex and divides the angle"<<endl;
cout<<"	into two angles of equal length."<<endl;
cout<<"ADJACENT ANGLES:two angles in the same plane with a common vertex and side."<<endl;
cout<<"VERTICAL ANGLES:two nonadjacent angles formed by two intersecting lines."<<endl;
cout<<"  (Vertical angles are congruent.)"<<endl;
cout<<"LINEAR PAIR:adjacent angles whose noncommon sides are opposite rays."<<endl;
cout<<"  (Adjacent angles in a linear pair are supplementary.)"<<endl;
cout<<"COMPLEMENTARY ANGLES:two angles whose measures have a sum of 90ø."<<endl;
cout<<"SUPPLEMENTARY ANGLES:two angles whose measures have a sum of 180ø."<<endl;
cout<<""<<endl;
cout<<"Lines and planes that do not intersect are said to be PARALLEL.  But when lines"<<endl;
cout<<"are not in the same plane and do not intersect they are said to be SKEW. A line"<<endl;
cout<<"that intersect two or more lines in a plane at different points ia called a    "<<endl;
cout<<"TRANSVERSAL.  "<<endl;
gotoxy(1,25);
cout<<"Press any key to continue...";
getch();

clrscr();
cout<<"Eight angles are formed by a transversal and two lines:"<<endl;
cout<<"  Interior Angles: 1, 2, 5, 6                     ’         1³2                "<<endl;
cout<<"  Alternate Interior Angles: 1 & 6, 2 & 5        <ÄÄÄÄÄÄÄÄÄÄÄÅÄÄÄÄÄÄÄÄÄÄÄÄÄ>   "<<endl;
cout<<"  Consecutive Interior Angles: 1 & 5, 2 & 6                 3³4                "<<endl;
cout<<"  Exterior Angles: 3, 4, 7, 8                                ³                 "<<endl;
cout<<"  Alternate Exterior Angles: 3 & 7, 4 & 8    Ÿ              5³6                "<<endl;
cout<<"  Corresponding Angles: 1 & 7, 2 & 8,       <ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÅÄÄÄÄÄÄÄÄÄ>       "<<endl;
cout<<"                        3 & 6, 4 & 5                        7³8                "<<endl;
cout<<"If ’ºŸ (line ’ is parallel to line Ÿ), then the corresponding angles,         "<<endl;
cout<<"   alternate interior angles, and alternate exterior angles are congruent. Also"<<endl;
cout<<"   consecutive interior(and exterior) angles are supplementary.                "<<endl;
cout<<""<<endl;
cout<<"Slope of the Line: M = (Y2 - Y1) / (X2 - X1) "<<endl;
cout<<"The slope of a vertical line is undefined. The slope of a horizontal line is 0."<<endl;
cout<<"Two lines have the same slope only if they are parallel.Lines perpendicular(Á)"<<endl;
cout<<"  have opposite reciprical slopes. "<<endl;
cout<<"TRIANGLES:"<<endl;
cout<<"	Acute - three acute angles      Scalene - no two sides are congruent"<<endl;
cout<<"	Obtuse - one obtuse angle       Isoceles - at least two sides congruent"<<endl;
cout<<"	Right - one right angle         Equilateral - three sides conogruent"<<endl;
cout<<"	Equiangular - three congruent angles"<<endl;
cout<<"Sum of all the angles in a triangle is 180."<<endl;
gotoxy(1,25);
cout<<"Press any key to continue...";
getch();

clrscr();
cout<<"When one side of a triangle is extended the angle formed is called the EXTERIOR"<<endl;
cout<<" ANGLE. The measure of the exterior angle is equal to the sum of the two REMOTE"<<endl;
cout<<" INTERIOR ANGLES, the angles not adjacent to the exterior angle."<<endl;
cout<<"Tests for Congruency between Triangles:"<<endl;
cout<<"   Side-Side-Side(SSS) - 3 sides are congruent"<<endl;
cout<<"   Side-Angle-Side(SAS) - 2 sides and the included angle are congruent"<<endl;
cout<<"   Angle-Side-Angle(ASA) - 2 angles and the included side are congruent"<<endl;
cout<<"   Angle-Angle-Side(AAS) - 2 angles and a non-included side are congruent"<<endl;
cout<<"Isosceles Triangles: sides/angles opposite the congruent angles/sides are equal.";
cout<<"RATIO - a comparisoin of two quantities (the ratio of  to b) a:b or a/b"<<endl;
cout<<"PROPORTION - equation stating two ratios a/b = c/d, if and only if ad = bc"<<endl;
cout<<"Two polygons are similar(~) if their corresponding angles are congruent and "<<endl;
cout<<"	the measure of their corresponding sides are propotional."<<endl;
cout<<"The GEOMETRIC MEAN between two positive numbers a and b is the positive "<<endl;
cout<<"	number x such that a/x = x/b."<<endl;
cout<<"PYTHAGOREAN THEOREM: Aý + Bý = Cý, where C is the measure of the hypotenuse."<<endl;
cout<<"Special Right Triangles: 45ø-45ø-90ø - hypotenuse is û2 times as long as a leg."<<endl;
cout<<"                         30ø-60ø-90ø - hypotenuse is 2 twice as long as shorter"<<endl;
cout<<"                 leg and the longer leg is û3 times as long as the shorter leg."<<endl;
cout<<"sin A= leg opposite A / hypotenuse"<<endl;
cout<<"cos A= leg adjacent A / hypotenuse"<<endl;
cout<<"tan A= leg opposite A / leg adjacent A"<<endl;
cout<<"Law of Sines: sinA/a = sinB/b = sinC/c"<<endl;
cout<<"Law of Cosines: cý = aý + bý - (2ab)cosC"<<endl;
gotoxy(1,25);
cout<<"Press any key to continue...";
getch();

clrscr();
int driver = VGA;
int mode = VGAHI;
initgraph(&driver, &mode, "\\TC\\BGI");
settextstyle(SMALL_FONT, HORIZ_DIR, 5);
outtext("CIRCLES:");
circle(150,70,60);
line(105,30,195,30);
 outtextxy(130,15,"chord");
line(75,50,225,50);
 outtextxy(72,42,"<                  >");
 outtextxy(128,35,"secant");
line(90,70,210,70);
 outtextxy(125,55,"diameter");
line(150,70,150,130);
 settextstyle(SMALL_FONT, VERT_DIR, 5);
 outtextxy(135,70,"radius");
line(95,130,265,130);
 settextstyle(SMALL_FONT, HORIZ_DIR, 5);
 outtextxy(90,122,"<                     >");
 outtextxy(210,115,"tangent");
circle(450,70,60);
 setfillstyle(EMPTY_FILL,1);
pieslice(450,70,10,50,60);
 outtextxy(465,15,"A");
 outtextxy(500,60,"B");
 outtextxy(440,65,"C");
 outtextxy(500,20,"minor arc");
 outtextxy(315,60,"major arc");
 outtextxy(390,130,"central angle C = measure of AB");
outtextxy(0,150,"In a circle: if a diameter is Á to a chord, then is bisects the chord and its arc.");
outtextxy(0,165,"            two minor arcs are congruent only if their chords are too.");
outtextxy(0,180,"            two chords are congruent only if they are equidistant from the center.");
outtextxy(0,195,"An INSCRIBED ANGLE is an angle whose vertex is on the circle and whose");
outtextxy(0,210," sides are chords od the circle. If an angle is inscribed, the measure of the angle");
outtextxy(0,225," equals « the measure of its intercepted arc. If an angle is inscribed in a ");
outtextxy(0,240," semicirle, then the angle is a right angle. If a quadrilateral is inscribed in a ");
outtextxy(0,255," circle, then its opposite angles are supplementary.");
outtextxy(0,270,"A TANGENT line intersects the circle at exactly one point. If a line is tangent to a");
outtextxy(0,285," circle, then it is Á to the radius drawn to the point of tangency. If two segments ");
outtextxy(0,300," from the same exterior point are tangent to a circle,then thay are congruent.");
outtextxy(0,315,"If a secant and a tangent intersect at the point of tangency, then the measure of ");
outtextxy(0,330,"each angle formed is « the measure of its intercepted arc. If two secants, a secant");
outtextxy(0,345,"and a tangent, or two tangents intersect in the exterior of a circle, then the ");
outtextxy(0,360,"measure of the angle formed is « the positive difference of the measure of its ");
outtextxy(0,375,"intercepted arcs. If two chords intercect in a circle, then the product of the ");
outtextxy(0,390,"measures of the segments of the chords are equal(cross multiply). If two secant");
outtextxy(0,405,"segments intersect at an exterior point, the the product of the measures of one");
outtextxy(0,420,"secant and its chord is equal to the product of the other. If a tangent and a secant");
outtextxy(0,435,"intersect at an exterior point, then the square of the measure of the tangent is ");
outtextxy(0,450,"equal to the product of the secant and its chord.");
outtextxy(0,465,"Press any key to continue...");
getch();

floodfill(0,0,1);
outtextxy(0, 0,"A POLYGON is a plane figure formed by a finite number of segments such that each    ");
outtextxy(0, 15," side intersects exactly two other sides and sides that have a common endpoit are   ");
outtextxy(0, 30," noncollinear.A CONVEX polygon is one such that no line containing a side of the   ");
outtextxy(0, 45," polygon contains a point in the interior of itself. Convex polygons with all sides");
outtextxy(0, 60," and angles congruent are called REGULAR. Polygons are two-dimensional, the        ");
outtextxy(0, 75," corresponding three-dimensional figures are POLYHEDRA. They are made up of polygon");
outtextxy(0, 90," -shaped regions called FACES.  Segments where faces intersect are called EDGES.   ");
outtextxy(0,105," Points where 3 or more edges intersect are called VERTICES. A convex polyhedron   ");
outtextxy(0,120," with congruent, regular faces is a REGULAR polyhedron.");
outtextxy(0,135,"If a convex polygon has n sides and S is the sum of the measures of its interior   ");
outtextxy(0,150," angles, then  S = 180(n - 2). If a polygon is convex, then the sum of the measures");
outtextxy(0,165," of the extrior angles is 360.");
outtextxy(0,180,"AREA:      b = base   h = height   d = diagonal   P = perimeter   a = apothem     ");
outtextxy(0,195,"     Rectangle/Parallelogram: A = bh          Triangle: A = «bh");
outtextxy(0,210,"     Trapezoid: A = «h(b1 + b2)               Rhombus: A = «d1d2");
outtextxy(0,225,"     Regular Polygon: A = «Pa              (apothem - segment drawn from center of");
outtextxy(0,240,"     Circle: A = ãrý                                  the polygon and Á to a side)");
outtextxy(0,255,"Circumference(perimeter of a circle): C = 2ãr           r = radius");
outtextxy(0,270,"The SURFACE AREA of a polyhedron, or SOLID, is the sum of the areas of its faces. ");
outtextxy(0,285," PRISMS are solids with congruent polygonal bases in parallel planes. CYLINDERS   ");
outtextxy(0,300," have congruent and parallel circular bases. An ALTITUDE is a Á segment joining   ");
outtextxy(0,315," the plains of the bases. The length of the altitude it the HEIGHT of the figure. ");
outtextxy(0,330,"All faces of a PYRAMID, save the base, intersect the VERTEX. A REGULAR PYRAMID has");
outtextxy(0,345," a regular polygonal base, whose center lies Á to the vertex. All lateral faces of");
outtextxy(0,360," a regular pyramid are congruent isosceles triangles,the height of which is called");
outtextxy(0,375," the SLANT HEIGHT(l). The TOTAL SURFACE AREA of a pyramid or cone is: T = «Pl + B,");
outtextxy(0,390," where B is the area of the base. Total surface area of a SPHERE is: T = 4ãrý.    ");
outtextxy(0,405,"VOLUME:    B = area of base   h = height   r = radius ");
outtextxy(0,420,"     Solid: V = Bh                             Cylinder: V = ãrýh.             ");
outtextxy(0,435,"     Pyramid: V = (1/3)Bh                      Cone: V = (1/3)Bh               ");
outtextxy(0,450,"     Sphere: V = (4/3)ãrý");
outtextxy(0,465,"Press any key to continue...");
getch();
closegraph();
title();
}



void geometry()
{
initgraph(&driver, &mode, "\\TC\\BGI");
settextstyle(SMALL_FONT,HORIZ_DIR,6);
setfillstyle(SOLID_FILL,0);
floodfill(0,0,1);
outtextxy(0,0,"1. Give A(-5,-3), B(-3,-3), C(1,1), D(-1,1). ABCD is a");
outtextxy(10,20,"a  Line");
outtextxy(10,40,"b  Circle");
outtextxy(10,60,"c  Square");
outtextxy(10,80,"d  Parallelgram");
gotoxy(1,8);
cin>>ans;
if(strcmp(ans,"d")==0){sound(); score++;}
floodfill(0,0,1);    rectangle(350,100,550,200); outtextxy(445,150,"R");
outtextxy(0,0,"2. If à1 = 26, find à3.");
outtextxy(10,20,"a  26"); line(350,100,550,200); outtextxy(340,80,"N");
outtextxy(10,40,"b  46"); line(550,100,350,200); outtextxy(340,200,"Q");
outtextxy(10,60,"c  64"); outtextxy(560,80,"O"); outtextxy(560,200,"P");
outtextxy(10,80,"d  90"); outtextxy(540,110,"4");outtextxy(540,170,"3");
gotoxy(1,8);              outtextxy(385,180,"1");outtextxy(510,180,"2");
cin>>ans;
if(strcmp(ans,"c")==0){sound(); score++;}
floodfill(0,0,1);      rectangle(350,100,550,200); outtextxy(445,150,"R");
outtextxy(0,0,"3. If NR = 9.6, find QO");
outtextxy(10,20,"a  23.2"); line(350,100,550,200); outtextxy(340,80,"N");
outtextxy(10,40,"b  19.2"); line(550,100,350,200); outtextxy(340,200,"Q");
outtextxy(10,60,"c  13.6"); outtextxy(560,80,"O"); outtextxy(560,200,"P");
outtextxy(10,80,"d   9.6"); outtextxy(540,110,"4");outtextxy(540,170,"3");
gotoxy(1,8);                outtextxy(385,180,"1");outtextxy(510,180,"2");
cin>>ans;
if(strcmp(ans,"b")==0){sound(); score++;}
floodfill(0,0,1);    rectangle(350,100,550,200); outtextxy(445,150,"R");
outtextxy(0,0,"4. If àNQP = 13x-7 and àPON = 9x+29, find x.");
outtextxy(10,20,"a   7"); line(350,100,550,200); outtextxy(340,80,"N");
outtextxy(10,40,"b   9"); line(550,100,350,200); outtextxy(340,200,"Q");
outtextxy(10,60,"c  11"); outtextxy(560,80,"O"); outtextxy(560,200,"P");
outtextxy(10,80,"d  13"); outtextxy(540,110,"4");outtextxy(540,170,"3");
gotoxy(1,8);              outtextxy(385,180,"1");outtextxy(510,180,"2");
cin>>ans;
if(strcmp(ans,"a")==0){sound(); score++;}
floodfill(0,0,1);
outtextxy(0,0,"5. Find SR.");
outtextxy(10,20,"a   7");   outtextxy(100,30,"ÄÄÄÅÄÄÄÄÅÄÄÄÄÄÄÄÄÄÄÄÄÄÅÄÄÄ");
outtextxy(10,40,"b  -2");   outtextxy(100,40,"   -2    0            7   ");
outtextxy(10,60,"c   9");   outtextxy(100,20,"    S                 R   ");
outtextxy(10,80,"d   5");
gotoxy(1,8);
cin>>ans;
if(strcmp(ans,"c")==0){sound(); score++;}
floodfill(0,0,1);
outtextxy(0,0,"6. The midpoint of BC has a coordinate of");
outtextxy(10,20,"a  -1« "); outtextxy(100,20," A     B      C      D ");
outtextxy(10,40,"b  -2«");  outtextxy(100,30,"ÄÅÄÅÄÅÄÅÄÅÄÅÄÅÄÅÄÅÄÅÄÅÄÅÄÅÄ");
outtextxy(10,60,"c   0");   outtextxy(100,40,"-8    -4      0      4 ");
outtextxy(10,80,"d   1");
gotoxy(1,8);
cin>>ans;
if(strcmp(ans,"b")==0){sound(); score++;}
floodfill(0,0,1);
outtextxy(0,0,"7. The measure of an angle is ¬ the measure of its supplement.");
outtextxy(30,20,"Find the measure of the angle.");
outtextxy(10, 40,"a  36");
outtextxy(10, 60,"b  144");
outtextxy(10, 80,"c  54");
outtextxy(10,100,"d  17");
gotoxy(1,8);
cin>>ans;
if(strcmp(ans,"a")==0){sound(); score++;}
floodfill(0,0,1);
outtextxy(0,0,"8. If two angles form a linear pair, then they are");
outtextxy(10,20,"a  vertical angles");
outtextxy(10,40,"b  congruent angles");
outtextxy(10,60,"c  complementary angles");
outtextxy(10,80,"d  supplementary angles");
gotoxy(1,8);
cin>>ans;
if(strcmp(ans,"d")==0){sound(); score++;}
floodfill(0,0,1);
outtextxy(0,0,"9. à1 and à5 are consecutive interior angles for two º lines.");
outtextxy(30,20,"If à1 = 5x+9 and à5 = 3x-29, find à1.");
outtextxy(10,40,"a  25");
outtextxy(10,60,"b  134");
outtextxy(10,80,"c  200");
outtextxy(10,100,"d  46");
gotoxy(1,8);
cin>>ans;
if(strcmp(ans,"b")==0){sound(); score++;}
floodfill(0,0,1);
outtextxy(0,0,"10. Find the value of x.");  line(300,100,400,100); line(360,50,360,100);
outtextxy(30,20,"Right triangle with the altitude drawn to the hypotenuse.");
outtextxy(10,40,"a  2û6");                  line(300,100,360,50); line(360,50,400,100);
outtextxy(10,60,"b  2û8");                  outtextxy(330,100,"6    4");
outtextxy(10,80,"c  2û10");                 outtextxy(320,60,"y  x   z");
outtextxy(10,100,"d  2û15");
gotoxy(1,8);
cin>>ans;
if(strcmp(ans,"a")==0){sound(); score++;}
floodfill(0,0,1);
outtextxy(0,0,"11. Find the value of y.");  line(300,100,400,100); line(360,50,360,100);
outtextxy(30,20,"Right triangle with the altitude drawn to the hypotenuse.");
outtextxy(10,40,"a  2û6");                  line(300,100,360,50); line(360,50,400,100);
outtextxy(10,60,"b  2û8");                  outtextxy(330,100,"6    4");
outtextxy(10,80,"c  2û10");                 outtextxy(320,60,"y  x   z");
outtextxy(10,100,"d  2û15");
gotoxy(1,8);
cin>>ans;
if(strcmp(ans,"d")==0){sound(); score++;}
floodfill(0,0,1);
outtextxy(0,0,"12. Find the value of z.");  line(300,100,400,100); line(360,50,360,100);
outtextxy(30,20,"Right triangle with the altitude drawn to the hypotenuse.");
outtextxy(10,40,"a  2û6");                  line(300,100,360,50); line(360,50,400,100);
outtextxy(10,60,"b  2û8");                  outtextxy(330,100,"6    4");
outtextxy(10,80,"c  2û10");                 outtextxy(320,60,"y  x   z");
outtextxy(10,100,"d  2û15");
gotoxy(1,8);
cin>>ans;
if(strcmp(ans,"c")==0){sound(); score++;}
floodfill(0,0,1);
outtextxy(0,0,"13. Find the value of x.");  line(300,80,400,80); rectangle(390,70,400,80);
outtextxy(10,20,"a  8");                    line(300,80,400,20); line(400,20,400,80);
outtextxy(10,40,"b  10");                   outtextxy(330,35,"10      6");
outtextxy(10,60,"c  16");                   outtextxy(350,75,"x");
outtextxy(10,80,"d  36");
gotoxy(1,8);
cin>>ans;
if(strcmp(ans,"a")==0){sound(); score++;}
floodfill(0,0,1);
outtextxy(0,0,"14. Find the value of x.");  rectangle(300,50,360,110);
outtextxy(10,20,"a  10û2");     line(300,50,360,110); rectangle(300,100,310,110);
outtextxy(10,40,"b  12û2");     outtextxy(330,40,"³");
outtextxy(10,60,"c  10");       outtextxy(268,70,"6û2-   x -");
outtextxy(10,80,"d  12");       outtextxy(330,100,"³|");
gotoxy(1,8);
cin>>ans;
if(strcmp(ans,"d")==0){sound(); score++;}
floodfill(0,0,1);
outtextxy(0,0,"15. Find the length of an apothem of a square of its area is 100mý.");
outtextxy(10,20,"a  1");
outtextxy(10,40,"b  2");
outtextxy(10,60,"c  5");
outtextxy(10,80,"d  10");
gotoxy(1,8);
cin>>ans;
if(strcmp(ans,"c")==0){sound(); score++;}
floodfill(0,0,1);
outtextxy(0,0,"16. Find the area of a circle with diameter of 8.8cm.");
outtextxy(10,20,"a  19.36");
outtextxy(10,40,"b  60.82");
outtextxy(10,60,"c  64.64");
outtextxy(10,80,"d  77.44");
gotoxy(1,8);
cin>>ans;
if(strcmp(ans,"b")==0){sound(); score++;}
floodfill(0,0,1);
outtextxy(0,0,"17. Find the area of a rhombus whose diagonals are 10 and 15.");
outtextxy(10,20,"a  75");
outtextxy(10,40,"b  100");
outtextxy(10,60,"c  115");
outtextxy(10,80,"d  225");
gotoxy(1,8);
cin>>ans;
if(strcmp(ans,"a")==0){sound(); score++;}
floodfill(0,0,1);
outtextxy(0,0,"18. Find the surface area of a sphere with a radius of 10.");
outtextxy(10,20,"a  600ã");
outtextxy(10,40,"b  400ã");
outtextxy(10,60,"c  200ã");
outtextxy(10,80,"d  100ã");
gotoxy(1,8);
cin>>ans;
if(strcmp(ans,"b")==0){sound(); score++;}
floodfill(0,0,1);
outtextxy(0,0,"19. Find the total surface area of a square pyramid with a slant");
outtextxy(30,20,"height of 18 and a lateral area of 216.");
outtextxy(10,40,"a  162");
outtextxy(10,60,"b  216");
outtextxy(10,80,"c  252");
outtextxy(10,100,"d  324");
gotoxy(1,8);
cin>>ans;
if(strcmp(ans,"c")==0){sound(); score++;}
floodfill(0,0,1);
outtextxy(0,0,"20. Find th evolume of a cone with radius of 6 and height of 10.");
outtextxy(30,20,"Use 3.14 for ã.");
outtextxy(10,40,"a  60");
outtextxy(10,60,"b  188.4");
outtextxy(10,80,"c  120");
outtextxy(10,100,"d  376.8");
gotoxy(1,8);
cin>>ans;
if(strcmp(ans,"d")==0){sound(); score++;}
closegraph();
grade();
}



void precalnotes()
{
clrscr();
cout<<"Functions:"<<endl;
cout<<"  (f + g)(x) = f(x) + g(x)"<<endl;
cout<<"  (f - g)(x) = f(x) - g(x)"<<endl;
cout<<"  (f * g)(x) = f(x) * g(x)"<<endl;
cout<<"  (f / g)(x) = f(x) / g(x); if g(x) |= 0"<<endl;
cout<<"  (f o g)(x) = f(g(x))     (g o f)(x) = g(f(x))"<<endl;
cout<<"Exponents:  ^ indicates exponents"<<endl;
cout<<"  b^x * b^y = b^x+y"<<endl;
cout<<"  b^x / b^y = b^x-y"<<endl;
cout<<"  (b^x)^y = b^xy"<<endl;
cout<<"Logarithms:"<<endl;
cout<<"  logMN = logM + logN"<<endl;
cout<<"  logM/N = logM - logN"<<endl;
cout<<"  log(M^k) = klogM"<<endl;
cout<<"  log a = loga / logn         log a = x  n^x = a "<<endl;
cout<<"     ü                           ü"<<endl;
cout<<"  ln = log to base e"<<endl;
cout<<"Series:  d =common difference   r =common ratio"<<endl;
cout<<"  Arithmetic: tn = t1 +(n - 1)d   Sn = n(t1+tn)/2 "<<endl;
cout<<"  Geometric:  tn = t1*r^(n-1)     Sn = t1(1 - r^n)/1 - r    S = t1/1-r"<<endl;
cout<<""<<endl;
cout<<"Quardratic formula:  x = -bñû[bý - 4ac] / 2a"<<endl;
gotoxy(1,25);
cout<<"Press any key to continue...";
getch();


clrscr();
cout<<"To convert degrees to radians: degree * ã/180"<<endl;
cout<<"To convert radians to degrees: radian * 180/ã"<<endl;
cout<<"é = s/r      s = arc length    r = radius  "<<endl;
cout<<"             Arc Length:          Area of a Sector:"<<endl;
cout<<"degrees:      S = (2ãr)(é/360)      K = ãrý(é/360)"<<endl;
cout<<"radians:      S = ré                K = «rýé = «rs"<<endl;
cout<<""<<endl;
cout<<"sine = y/r                      positive in QI + QII"<<endl;
cout<<"cosine = x/r                    positive in QI + QIV"<<endl;
cout<<"tangent = y/x = sin/cos         positive in QI + QIII"<<endl;
cout<<""<<endl;
cout<<"Reciprical Relationships: "<<endl;
cout<<"    secé = 1/ cosé    cscé = 1/ siné     coté = 1/ tané = cosé/siné"<<endl;
cout<<"Trigonometric Pathagorean Relationships:"<<endl;
cout<<"sinýé + cosýé = 1                       1 + tanýé = secýé"<<endl;
cout<<"sinýé = 1 - cosýé   1 + cotýé = cscýé   1 = secýé - tanýé"<<endl;
cout<<"cosýé = 1 - sinýé   1 = cscýé - cotýé   tanýé = secýé - 1"<<endl;
cout<<"                    cotýé = cscýé - 1"<<endl;
cout<<""<<endl;
cout<<"Relationships with Negaives:"<<endl;
cout<<"sin(-é) = -siné                    tan(-é) = -tané"<<endl;
cout<<"csc(-é) = -cscé   cos(-é) = cosé   cot(-é) = -coté"<<endl;
cout<<"                  sec(-é) = secé"<<endl;
gotoxy(1,25);
cout<<"Press any key to continue...";
getch();

clrscr();
cout<<"Cofunction Relationships:"<<endl;
cout<<"   siné = cos(90ø - é)   cosé = sin(90ø - é)"<<endl;
cout<<"   tané = cot(90ø - é)   coté = tan(90ø - é)"<<endl;
cout<<"   secé = csc(90ø - é)   cscé = sec(90ø - é)"<<endl;
cout<<"à = inclination angle   m(slope) = tanà; à Ø 90ø or ã/2"<<endl;
cout<<"Where y = AcosBx or y = AsinBx:"<<endl;
cout<<"  amplitude = ³A³   period = 2ã/B"<<endl;
cout<<"Translations:  y - k = Acos/sinB(x - h)	   -h units right  -k = units up"<<endl;
cout<<"Area of a Triangle: K =  «bh = «(side1)(side2)(sinà)"<<endl;
cout<<"cos(àñá) = cosàcosá -/+ sinàsiná "<<endl;
cout<<"sin(àñá) = sinàcosá ñ cosàsiná"<<endl;
cout<<"tan(àñá) = (tanà ñ taná) / (1 -/+ tanàtaná)"<<endl;
cout<<"Double angle formulas:"<<endl;
cout<<" sin2à = 2sinàcosà"<<endl;
cout<<" cos2à = cosýà - sinýà = 1 - 2sinýà = 2cosýà - 1"<<endl;
cout<<" tan2à = 2tanà / (1 - tanýà)"<<endl;
cout<<"Half-angle formulas"<<endl;
cout<<" sinà/2 = ñ û[(1-cosà)/2]"<<endl;
cout<<" cosà/2 = ñ û[(1+cosà)/2]"<<endl;
cout<<" tanà/2 = ñ û[(1-cosà)/(1+cosà)] = sinà/(1+cosà) = (1 - cosà)/sinà"<<endl;
cout<<"Coordinates (x,y) are rectangular. To convert to Polar:"<<endl;
cout<<"            x = rcosé    y = rsiné"<<endl;
cout<<"To convert back to rectangular: r = ñû[xý + yý]    tané = y/x"<<endl;
gotoxy(1,25);
cout<<"Press any key to continue...";
getch();

initgraph(&driver, &mode, "\\TC\\BGI");
settextstyle(SMALL_FONT,HORIZ_DIR,7);
outtextxy(130,50,"UNIT CIRCLE");
outtextxy(427,50,"REFERENCE CHART");
settextstyle(SMALL_FONT,HORIZ_DIR,5);
circle(290,218,2); outtextxy(295,218,"(1,0)");
circle(90,218,2); outtextxy(45,218,"(-1,0)");
circle(190,118,2); outtextxy(155,100,"(0,1)");
circle(190,318,2); outtextxy(195,318,"(0,-1)");
setfillstyle(EMPTY_FILL,0);
pieslice(190,218,0,45,100);pieslice(190,218,90,135,100);
pieslice(190,218,180,225,100);pieslice(190,218,270,315,100);
outtextxy(25,130,"135ø or 3ã/4");outtextxy(260,130,"45ø or ã/4");
outtextxy(25,290,"225ø or 5ã/4");outtextxy(260,290,"315ø or 7ã/4");
setcolor(1);
pieslice(190,218,0,30,100);pieslice(190,218,90,120,100);
pieslice(190,218,180,210,100);pieslice(190,218,270,300,100);
outtextxy(45,110,"120ø or 2ã/3");outtextxy(280,150,"30ø or ã/6");
outtextxy(5,270,"215ø or 7ã/6");outtextxy(240,310,"300ø or 5ã/3");
setcolor(4);
pieslice(190,218,0,60,100);pieslice(190,218,90,150,100);
pieslice(190,218,180,240,100);pieslice(190,218,270,330,100);
outtextxy(5,150,"150ø or 5ã/6");outtextxy(240,110,"60ø or ã/3");
outtextxy(45,310,"240ø or 4ã/3");outtextxy(280,270,"330ø or 11ã/6");
setcolor(15);
circle(190,218,100);  outtextxy(180,220,"O");
line(55,218,325,218); outtextxy(320,200,"x");
line(190,83,190,353); outtextxy(180,76,"y");
rectangle(389,143,639,293);
line(439,143,439,293);line(489,143,489,293);
line(539,143,539,293);line(589,143,589,293);
line(389,168,639,168);line(389,193,639,193);line(389,218,639,218);
line(389,243,639,243);line(389,268,639,268);
outtextxy(402,148,"deg.   rad.  siné  cosé   tané");
outtextxy(402,173," 0ø     0      0     1      0 ");
outtextxy(402,198,"30ø    ã/6    1/2  û3/2  û3/3");
outtextxy(402,223,"45ø    ã/4   û2/2  û2/2     1 ");
outtextxy(402,248,"60ø    ã/3   û3/2   1/2    û3 ");
outtextxy(402,273,"90ø    ã/2     1     0      0 ");

outtextxy(0,465,"Press any key to continue...");
getch();
closegraph();
title();
}



void precal()
{
clrscr();
cout<<"1. cos(5ã/3)  = "<<endl;
cout<<" a  -1/2"<<endl;
cout<<" b   1/2"<<endl;
cout<<" c   û3/2"<<endl;
cout<<" d  -û3/2"<<endl;
cin>>ans;
if(strcmp(ans,"b") == 0) {sound(); score++;}
clrscr();
cout<<"2. tan(-14ã/3)  = "<<endl;
cout<<" a   -1"<<endl;
cout<<" b    1"<<endl;
cout<<" c   û3"<<endl;
cout<<" d  -û3"<<endl;
cin>>ans;
if(strcmp(ans,"c") == 0) {sound(); score++;}
clrscr();
cout<<"3. tan[ arcsin(û3/2) ]  = "<<endl;
cout<<" a    0"<<endl;
cout<<" b  û3/3"<<endl;
cout<<" c    1"<<endl;
cout<<" d   û3"<<endl;
cin>>ans;
if(strcmp(ans,"d") == 0) {sound(); score++;}
clrscr();
cout<<"4. Specify the period of y = ¬cos2x. "<<endl;
cout<<" a  ã/4"<<endl;
cout<<" b  ã/2"<<endl;
cout<<" c    ã"<<endl;
cout<<" d   2ã"<<endl;
cin>>ans;
if(strcmp(ans,"c") == 0) {sound(); score++;}
clrscr();
cout<<"5. cos50øcos10ø - sin50øsin10ø"<<endl;
cout<<" a  û4/2"<<endl;
cout<<" b  û3/2"<<endl;
cout<<" c  û2/2"<<endl;
cout<<" d  ûa1/2"<<endl;
cin>>ans;
if(strcmp(ans,"d") == 0) {sound(); score++;}
clrscr();
cout<<"6. 1 + tanýx  = "<<endl;
cout<<" a    1/cosýx"<<endl;
cout<<" b  sinýx/cosýx"<<endl;
cout<<" c    -secýx"<<endl;
cout<<" d   1 - cotýx"<<endl;
cin>>ans;
if(strcmp(ans,"a") == 0) {sound(); score++;}
clrscr();
cout<<"Given f(x) = 1/x  and  g(x) = x-1 "<<endl<<endl;
cout<<"  7. Find (f * g)(x)."<<endl;
cout<<"   a  1-(1/x)"<<endl;
cout<<"   b  1/(x-1)"<<endl;
cout<<"   c  x-1"<<endl;
cout<<"   d  1/(xý-x)"<<endl;
cin>>ans;
if(strcmp(ans,"a") == 0) {sound(); score++;}
cout<<endl<<endl;
cout<<"  8. Find (f o g)(x)."<<endl;
cout<<"   a  1-(1/x)"<<endl;
cout<<"   b  1/(x-1)"<<endl;
cout<<"   c  x-1"<<endl;
cout<<"   d  1/(xý-x)"<<endl;
cin>>ans;
if(strcmp(ans,"b") == 0) {sound(); score++;}
clrscr();
cout<<"9. Solve for x.  10^(2x) = 55."<<endl;
cout<<" a  1.740"<<endl;
cout<<" b  1.439"<<endl;
cout<<" c  1"<<endl;
cout<<" d  0.870"<<endl;
cin>>ans;
if(strcmp(ans,"d") == 0) {sound(); score++;}
clrscr();
cout<<"10. Solve for x.  5^(2x-1) = 55."<<endl;
cout<<"  a  .6989"<<endl;
cout<<"  b  1"<<endl;
cout<<"  c  1.744"<<endl;
cout<<"  d  2.306"<<endl;
cin>>ans;
if(strcmp(ans,"c") == 0) {sound(); score++;}
clrscr();
cout<<"11. Simplify. csc(x)sin(ã/2 - x)."<<endl;
cout<<"  a  cotx"<<endl;
cout<<"  b  tanx"<<endl;
cout<<"  c  sinýx/cos"<<endl;
cout<<"  d  cosýx/sin"<<endl;
cin>>ans;
if(strcmp(ans,"a") == 0) {sound(); score++;}
clrscr();
cout<<"12. Find x. log n^(3ab) = x"<<endl;
cout<<"               ü"<<endl;
cout<<"  a  log3ab"<<endl;
cout<<"  b  3ab"<<endl;
cout<<"  c  ab"<<endl;
cout<<"  d  b"<<endl;
cin>>ans;
if(strcmp(ans,"b") == 0) {sound(); score++;}
clrscr();
cout<<"13. Simplify. 2ln(x) - 2ln(y) + «ln(z)."<<endl;
cout<<"  a  ln(ûxýz / ûy)"<<endl;
cout<<"  b  ln(xýûz / yý)"<<endl;
cout<<"  c  2(x - y) + «z"<<endl;
cout<<"  d  b^(2x+«z-2y)"<<endl;
cin>>ans;
if(strcmp(ans,"b") == 0) {sound(); score++;}
clrscr();
cout<<"14. Solve.  log  1 = "<<endl;
cout<<"              ýýýü"<<endl;
cout<<"  a  0"<<endl;
cout<<"  b  n"<<endl;
cout<<"  c  222"<<endl;
cout<<"  d  222n"<<endl;
cin>>ans;
if(strcmp(ans,"a") == 0) {sound(); score++;}
clrscr();
cout<<"15. If à = 85ø, then the radian measure of à is"<<endl;
cout<<"  a  17ã/36"<<endl;
cout<<"  b  4ã"<<endl;
cout<<"  c  17/36"<<endl;
cout<<"  d  ã/6"<<endl;
cin>>ans;
if(strcmp(ans,"a") == 0) {sound(); score++;}
clrscr();
cout<<"16. Solve for n. 9ü = (1/27)^(n+5)."<<endl;
cout<<"  a  15"<<endl;
cout<<"  b   3"<<endl;
cout<<"  c   0"<<endl;
cout<<"  d  -3"<<endl;
cin>>ans;
if(strcmp(ans,"d") == 0) {sound(); score++;}
clrscr();
cout<<"17. Find x. 2log (x+1) - log x = 1"<<endl;
cout<<"                5           5  "<<endl;
cout<<"  a  5ñû2 / 3"<<endl;
cout<<"  b  2ñû3 / 5"<<endl;
cout<<"  c  3ñû5 / 2"<<endl;
cout<<"  d  cannot be solved"<<endl;
cin>>ans;
if(strcmp(ans,"c") == 0) {sound(); score++;}
clrscr();
cout<<"18. What is the fifth term in the sequence defined by t1 = 4, "<<endl;
cout<<"       t2 = 7, and tn = 3t(n-1) + t(n-2) ?"<<endl;
cout<<"  a  172"<<endl;
cout<<"  b  215"<<endl;
cout<<"  c  246"<<endl;
cout<<"  d  271"<<endl;
cin>>ans;
if(strcmp(ans,"d") == 0) {sound(); score++;}
clrscr();
cout<<"19. Give the polar coordinates for the rectangular coordinate (3,4)."<<endl;
cout<<"  a  (25, cot(3/4))"<<endl;
cout<<"  b  (16, tan(4/3))"<<endl;
cout<<"  c  (5, arctan(4/3))"<<endl;
cout<<"  d  (0, arccot(3/4))"<<endl;
cin>>ans;
if(strcmp(ans,"c") == 0) {sound(); score++;}
clrscr();
cout<<"20. sinýé + secýé + cosýé + cscýé - cotýé - tanýé - 1 = "<<endl;
cout<<"  a  -1"<<endl;
cout<<"  b  0"<<endl;
cout<<"  c  1"<<endl;
cout<<"  d  cosýé - sinýé"<<endl;
cin>>ans;
if(strcmp(ans,"b") == 0) {sound(); score++;}
getch();
grade();
}




void main()
{
 clrscr();
 cout<<"                              MATH TUTORAL";
 cout<<endl<<endl<<endl;
 cout<<"WELCOME TO OUR MATH TUTORING PROGRAM WHICH WILL HELP DISCOVER WHICH MATH"<<endl;
 cout<<"SUBJECTS YOU ARE GOOD AT AND WHICH ONES THAT YOU ARE NOT GOOD AT....."<<endl;
 cout<<endl<<endl;
 cout<<"WHILE USING THE FOLLOWING PROGRAM:"<<endl;
 cout<<"- YOU CAN USE A CALCULATOR WHEN YOU NEED IT UNLESS OTHERWISE SPECIFIED...."<<endl;
 cout<<"- YOU MAY USE A GRAPHING CALCULATOR FOR THE PRE-CAL AND CALCULUS SECTIONS...."<<endl;
 cout<<"- YOU WILL WANT TO HAVE PLENTY OF SCRATCH PAPER AND A PENCIL HANDY...."<<endl<<endl;
 cout<<"PLEASE DO NOT GET HELP FROM ANYBODY WHILE DOING THIS TEST!!!  THIS IS TO JUDGE"<<endl;
 cout<<"TO SEE HOW SMART YOU ARE!!!"<<endl;
 cout<<endl<<endl<<endl;
 cout<<"This program was written by: "<<endl;
 cout<<"Daniel Gonzalez"<<endl;
 cout<<"Bryant Villasana"<<endl;
 cout<<"Steve Young "<<endl<<endl<<endl;
 cout<<"Please press any key to proceed...";
 getch();
 clrscr();
title();
}