Casio TI-80 Casio Casio Casio
fx-7700GE fx-9700GE CFX-9800G CFX-9850G Systems of Linear Equations Program
This program will display the solution of a system of two linear equations in two variables of the form ax by c dx ey f if a unique solution exists. Solutions to systems of linear equations are also available directly from the Casio calculators EQUATION MENU.
SOLVE AXBYC A=:?A B=:?B C=:?C DXEYF D=:?D E=:?E F=:?F AEDB0Goto 1 X=:(CEBF)(AEDB) Y=:(AFCD)(AEDB) Goto 2 Lbl 1 NO UNIQUE SOLUTION Lbl 2
Quadratic Formula Program
This program will display the solutions of a quadratic equation or the words No Real Solution. To use the program, write the quadratic equation in general form and enter the values of a, b, and c. Casio fx-7700GE Solutions to quadratic equations are also available directly from the Casio calculators EQUATION MODE.
QUADRAT AX2BXC0 A=?A B=?B C=?C B24ACD D<0Goto 1 (-B D)(2A) (-B D)(2A) Goto 2 Lbl 1 NO REAL SOLUTION Lbl 2
Casio fx-9700GE Casio CFX-9800G Casio CFX-9850G Both real and complex answers are given. Solutions to quadratic equations are also available directly from the Casio calculators EQUATION MODE.
QUADRAT AX2BXC0 A=?A B=?B C=?C B24ACD (-B D)(2A) (-B D)(2A)

Graph Reflection Program

This program will graph a function f and its reflection in the line y x. To use this program, enter the function in f1. Casio fx-7700GE To use this program, enter the function in f1.
REFLECT GRAPH -A TO A A=?A Range -A,A,1,-2A3,2A3,1 Graph Yf1 -AB Lbl 1 BX Plot f1,B BA32B BAGoto1:Graph YX
Casio CFX-9800G To use this program, enter a function in f1 and set a viewing rectangle.
REFLECT 63Xmin95A 63Xmax95B XsclC Range , , , A, B, C (XmaxXmin)94I XmaxM XminD Graph Yf1 Lbl 1 DX Plot f1,D DID DMGoto 1:Graph YX
Casio fx-9700GE To use this program, enter a function in f1 and set a viewing rectangle.
REFLECT 63Xmin127A 63Xmax127B XsclC Range , , , A, B, C (XmaxXmin)126I XmaxM XminD Graph Y f1 Lbl 1 DX Plot f1,D DID DMGoto 1:Graph YX
Casio CFX-9850G Use the program for the Casio fx-9700GE and replace the line Range , , , A,B,C, with View Window , , , A,B,C,.
Visualizing Row Operations Program
This program demonstrates how elementary matrix row operations used in Gauss-Jordan elimination may be interpreted graphically. It asks the user to enter a matrix that corresponds to a system of two linear equations. (The matrix entries should not be equivalent to either vertical or horizontal lines. This demonstration is also most effective if the y-intercepts of the lines are between 10 and 10.) While the demonstration is running, you should notice that each elementary row operation creates an equivalent system. This equivalence is reinforced graphically because, although the equations of the lines change with each elementary row operation, the point of intersection remains the same. You may want to run this program a second time to notice the relationship between the row operations and the graphs of the lines of the system. To use this program, dimension Mat A as a matrix. Press EXE after each screen display to continue the program.

ROWOPS ENTER A 2 BY 3 MATRIX: A B C D E F A=?A:B=?B: C=?C:D=?D: E=?E:F=?F: [[A,B,C][D,E,F]]Mat A Cls ORIGINAL MATRIX: Mat A Range -10,10,1,-10,10,1 Graph YB1(CAX) Graph YE1(FDX) Cls OBTAIN LEADING 1 IN ROW *Row A ,A,1 Mat A Graph Y(AB)(CAX) Graph YE1(FDX) Cls OBTAIN 0 BELOW LEADING 1 IN COLUMN 1 *Row+ -D,A,1,2 Mat A Graph Y(AB)(CAX) GraphY(E(BDA))1(F(DCA)) Cls Mat A[2,2]G G0Goto *Row G ,A,2 OBTAIN LEADING 1 IN ROW 2 Mat A Graph Y(AB)(CAX) Graph Y(E(BDA))1(F(DCA)) Cls OBTAIN 0 ABOVE LEADING 1 IN COLUMN 2 Mat A[1,2]H *Row+ -H,A,2,1 Mat A Mat A[1,3]J Mat A[2,3]K Graph YK Plot J,-10:Plot J,10:Line THE POINT OF INTERSECTION IS X=:J Y=:K Goto 3 Lbl 1 Mat A[2,3]0Goto 2 INCONSISTENT SYSTEM Goto 3 Lbl 2 INFINITELY MANY SOLUTIONS Lbl 3
Evaluating an Algebraic Expression Program
This program can be used to evaluate an algebraic expression in one variable at several values of the variable. To use this program, enter an expression in f1.
EVALUATE Lbl 1 X=?X F(X)= : f1 Goto 1
Graphing a Sine Function Program
This program will simultaneously draw a unit circle and the corresponding points on the sine curve. After the circle and sine curve are drawn, you can connect the points on the unit circle with their corresponding points on the sine curve by pressing EXE. When starting to write this program, press SHIFT SET UP and select PRM or PARM for the GRAPH TYPE to change to parametric mode.
SINESHOW Rad Range -2.25, 2,3,-1.19,1.19,1,0,6.3,.15 Graph(X,Y)(-1.25cos T,sin T) Graph(X,Y)(T4,sin T) 0N Lbl 1 N1N N 6.5T -1.25cosTA sin TB T4C Plot A,B Plot C,B Line N<12Goto 1 Cls
Adding Vectors Graphically Program
This program will sketch two vectors in standard position. Using the parallelogram law for the vector addition, the program also sketches the vector sum. Be sure to set an appropriate viewing rectangle.
ADDVECT Cls A=?A B=?B C=?C D=?D Plot 0,0 Plot A,B Line Plot 0,0 Plot C,D Line ACE BDF Plot 0,0 Plot E,F Line Plot A,B Plot E,F Line Plot C,D Plot E,F Line
Casio CFX-9850G Use the program for the Casio CFX-9800G and replace the line Range -2.25, 2,3,-1.19,1.19,1,0,6.3,.15 with the line View Window -2.25, 2,3,-1.19,1.19,1,0,6.3,.15.
Finding the Angle Between Two Vectors Program
This program will sketch two vectors and calculate the measure of the angle between the vectors. Be sure to set an appropriate viewing rectangle.

Casio Casio Casio Casio

fx-7700GE fx-9700GE CFX-9800G CFX 9850G
Casio fx-9700GE Casio CFX-9800G Casio CFX-9850G Both real and complex answers are given. Solutions to quadratic equations are also available directly from the Casio calculators EQUATION MODE.
QUADRATIC AX2BXC=0 A=? A B=? B C=? C B24AC D -B D2A -B D2A

Simple Interest Program

This program can be used to find the amount of simple interest earned on a given principal at a given annual interest rate for a certain amount of time.
SIMPINT Fix 2 PRINCIPAL? P INTEREST RATE IN DECIMAL FORM? R NUMBER OF YEARS? T PRT I THE INTEREST IS:I Norm
Quadratic Formula Program
This program will display the solutions to quadratic equations or the words No Real Solution. To use the program, write the quadratic equation in standard form and enter the values of a, b, and c. Casio fx-7700GE Solutions to quadratic equations are also available directly from the Casio calculators EQUATION MODE.
QUADRATIC AX2BXC=0 A=? A B=? B C=? C B24AC D D < 0 Goto 1 -B D2A -B D2A Goto 2 Lbl 1 NO REAL SOLUTION Lbl 2

Two-Point Form of a Line

This program will display the slope and y-intercept of the line that passes through two points, x1, y1 and x2, y2 , entered by the user.
TWOPTFORM ENTER X1, Y1? X:? Y ENTER X2, Y2? C:? D DYCX M M-XY B SLOPE =:M Y-INT =:B
Reflections and Shifts Program
This program will sketch a graph of the function y Rx H2 V, where R 1, H is an integer between 6 and 6, and V is an integer between 3 and 3. This program gives you practice working with reflections, horizontal shifts, and vertical shifts. Press EXE after viewing the graph to display the values of the integers. Casio fx-7700GE Casio fx-9700GE Casio CFX-9800G
PARABOLA -6+Int (12Ran#) H -3+Int (6Ran#) V Ran# R R<.5-1 R R.51 R Range -9,9,1,-6,6,1 Graph Y=R(X+H)2+V Y=R(X+H)2+V R=:R H=:H V=:V
Casio fx-9700GE To use this program, enter a function in f1 and set a viewing rectangle.
REFLECTION 63Xmin127 A 63Xmax127 B Xscl C Range , , , A, B, C (XmaxXmin)126 I Xmax M Xmin D Graph Y=f1 Lbl 1 D X Plot f1,D D+I D DMGoto 1:Graph Y=X
Casio CFX-9800G To use this program, enter a function in f1 and set a viewing rectangle.
REFLECTION 63Xmin95 A 63Xmax95 B Xscl C Range , , , A, B, C (XmaxXmin)94 I Xmax M Xmin D Graph Y=f1 Lbl 1 D X Plot f1,D D+I D DMGoto 1:Graph Y=X
Casio CFX-9850G Use the previous program and replace the line Range -9,9,1,-6,6,1 with View Window -9,9,1,-6,6,1,.

Graph Reflection Program

This program will graph a function f and its reflection in the line y x. To use this program, enter the function in f1. Casio fx-7700GE To use this program, enter the function in f1.
REFLECTION GRAPH -A TO A A=? A Range -A,A,1,-2A3,2A3,1 Graph Y=f1 -A B Lbl 1 B X Plot f1,B B+A32 B BAGoto1:Graph Y=X
Casio CFX-9850G Use the program for the Casio fx-9700GE and replace the line Range , , , A,B,C, with View Window , , , A,B,C,.
Systems of Linear Equations Program
This program will display the solution of a system of two linear equations in two variables of the form ax by c dx ey f if a unique solution exists. Solutions to systems of linear equations are also available directly from the Casio calculators EQUATION MENU.

SOLVE AX+BY=C A:? A B:? B C:? C DX+EY=F D:? D E:? E F:? F AEDB=0Goto 1 X=:(CEBF)(AEDB) Y=:(AFCD)(AEDB) Goto 2 Lbl 1 NO UNIQUE SOLUTION Lbl 2

Sum Program

To use this program, enter the nth term of the sequence into f1 (in terms of X).
SUM M=? M N=? N 0 S Lbl 1 M X S+f1 S S=:S M+1 M MN1 Goto 1