PRECALCULUS ALGEBRA 2 REVIEW. Warm UP (1) 2h + 6 = 20 (2) 3n + 11 = 26 (3) 4w + 5 = 29 (4) 7t + 3 = 31 (5) 4r + 14 = 26 (6) 8f + 21 = 37 (7) 6a + 32 =

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PRECALCULUS ALGEBRA 2 REVIEW

Warm UP (1) 2h + 6 = 20 (2) 3n + 11 = 26 (3) 4w + 5 = 29 (4) 7t + 3 = 31 (5) 4r + 14 = 26 (6) 8f + 21 = 37 (7) 6a + 32 = 44 (8) 9p + 32 = 59 h = 7n = 5 w = 6 t = 4 r = 3f = 2 a = 2 p = 3 Solve the equations below:

What Goes In The Box 5 ? (1) 4 m – 3 = m + 15 (2) 6y – 2 = 2y + 18 (3) 6t + 3 = 3t + 15 (4) 8r – 7 = 3r + 23 (5) 10 w – 9 = 3w + 33 (6) 9f + 14 = 3f + 56 m = 6 y = 5t = 4r = 6w = 6 f = 7 Solve the equations below :

Compound Inequalities

Solving Compound Inequalities -8 < 2x ≤ < x ≤ Example 1

2-step Compound Inequalities -9 < 2x-1 or 2x-1 ≥ Example 2 -9 < 2x < 2x < x 2x-1 ≥ x ≥ 6 22 x ≥ 3 -4 > x or x ≥ 3

Your Turn -12 < 2x or 2x ≥ < 2x+1 ≤ 7 3 < 3x ≤ < 2x-3 or 2x-3 ≥ < 5x-2 ≤ < 4x or 4x ≥ 32

Warm-up: Multiplying binomials 1. (5x − 7)(x + 2) 2. (x − y)(3x − 2y) 1. 5x 2 + 3x − x 2 − 5y + 2y 2

Polynomial Operations “Like terms”

Your Turn! c 4 -2c 2 - 2c - 2u m - 18

Basic Rules of Exponents Applying the rules in multiplying polynomials

Your Turn! Simplify (x 4 )(x 5 ) C Simplify (y 9 )(y -8 ) C Simplify (s 3 )(g 4 ) C Simplify (p -5 )(p -7 ) C Simplify (w 0 )(w 4 ) C =x9=x9 = (s 3 )(g 4 ) =y1=y1 = p -12 =w4=w4

Your Turn! (3x 4 )(–2x 2 ) (3m 5 )(5m -3 ) (a 2 )(–5a 5 ) (6h -6 )(3h 3 ) (-4j 2 )(-6j 8 ) -6x 6 15m 2 -5a 7 18h -3 24j 10

Your Turn! 3x 2 (4x 2 – x + 2) x 3 (5x 6 – 6x 3 - 2x 2 ) 5x 6 (7x 9 – 4x 5 + 8x 3 ) 2x 24 (4x 12 – 9x x 9 ) 12x 4 - 3x 3 + 6x 2 35x x x 9 5x x 6 - 2x 5 8x x x 33

Simplifying Radicals

= 2 = 4 = 5 = 10 = 12 Simplify

Combining Radicals + To combine radicals: combine the coefficients of like radicals

Simplify each expression

Simplify each expression: Simplify each radical first and then combine.

= = = = = Simplify LEAVE IN RADICAL FORM 3√2 12√2 5√3 2√6 6√2

Simplify each expression