TI 84+ Quick Reference

Algebra with the TI-84 Plus Silver EditionLaw of Exponents & RadicalsFormulas Examples Keystrokes(where a=3, b=2, P=5,Q=6, r=4, s=2)a r x a s = a r + s 3 4 x 3 2 = 3 4 + 2 0 G D 1 T / E Õ 729Graphing Inequalitiesa ra s = a r – s 3 43 2 = 3 4 – 2 0 G D 1 U / E Õ 9a p a q3 5 x 3 6The intersection of y ≤ 2x-3a –r 1= (a ≠ 0) 3 -4 =1. W 0 G 1 Õ .0123a r3 4= a p + q – r 3 4 = 3 5 + 6 – 4 0GD2T3U1EÕ 2187the TI-84 Plus Silver Edition is and y > .5x 2 -7 is shaded.used here to enter the equations(ab) r = a r b r (3 x 2) 4 = 3 4 x 2 4 0 G 1 V / G 1 Õ1296y ≤ 2x-3 and y > .5x 2 -7.a r a( r3 3b )= b r (b ≠ 0) ( 2 ) 4Solving Linear Systems by Graphing= 2 40 G 1 W / G 1 Õ 5.0625The intersection of two functions is the solution to the system.r sa s = √a r 2 49 4 = √9 2 1 ç 2 D 6 G / E Õ3Graphing provides a quick and powerful way to solve linear systems.a 0 = 1 (a ≠ 0) 3 0 = 1 0 G 7 Õ 1Binomial Expansiona (b + c) = ab + ac(a + b) (c + d) = ac + ad + bc + bd(a + b) 2 = a 2 + 2ab + b 2(a – b) 2 = a 2 – 2ab + b 2(a + b) 3 = a 3 + 3a 2 b + 3ab 2 + b 3(a – b) 3 = a 3 – 3a 2 b + 3ab 2 – b 3(a + b) 4 = a 4 + 4a 3 b + 6a 2 b 2 + 4ab 3 + b 4(a + b) 5 = a 5 + 5a 4 b + 10a 3 b 2 + 10a 2 b 3 + 5ab 4 + b 5Factoringa 2 – b 2 = (a + b) (a – b)a 2 + 2ab + b 2 = (a + b) 2a 2 – 2ab + b 2 = (a – b) 2a 3 + b 3 = (a + b) (a 2 – ab + b 2 )a 3 b – ab = ab (a + 1) (a – 1)a 3 – b 3 = (a – b) (a 2 + ab + b 2 )Factorialn! = n (n-1) (n-2) ... (2) (1)Example: 5! = 5 (4) (3) (2) (1)Keystrokes: 5! = 2 ç | 4 Õ 1201 Enter equations in the o editor.2 Press s to graph both equations.(You may need to adjust the viewing window.)3 Press y / 5: intersect to find the point of intersection.4 Press Õ to select the 1st curve and again to select the 2nd curve.5 Enter your best guess and press Õ.Quadratic FormulaIf a ≠ 0, the roots of ax 2 + bx + c = 0 areExample: 3x 2 + 2x - 4x = –b ± √b2 - 4ac2a(where a=3, b=2, c=-4)x = -2 ± √2 2 - 4(3)(-4)2(3)KeystrokesStep 1 2 2 - 4(3)(-4) / F U 1 V 0 V M 1 Õ 52Step 2 -2 + √52 M / T % b 2 / E Õ 5.211-2 - √52 M / U % b 2 / E Õ -9.211Step 3 5.211 28/..WD/V0EÕ 0.8692(3)-9.211 M68/..WD/V0EÕ -1.5352(3)Using the Equation SolverUse the Equation Solver on your TI-84 Plus Silver Edition to solve for anyvariable in an equation. In this example, the Solver is being used to findone of the roots of the polynomial x 2 - 5x + 6.Logarithms ´ µ Jy = log a x means a y = x log a x r = r log a x log x = log 10 xlog a xy = log a x + log a y log a 1 = 0xlog a = log a x – log a y log a a = 1 log a x = log 10 xylog 10 aIn x = log e x ln e = 1© Texas Instruments, 20071 Press ç 0: Solver…2 Enter equation (must be in form where equation is set equal to 0)and press Õ.3 Place cursor next to variable for which you would like to solve.4 Enter a guess for the value.5 Press É \ to see a solution.education.ti.com