0. Review of College Algebra

CONCEPT PREVIEW Fill in the blank to correctly complete each sentence. The polynomial 2x⁵ - x + 4 is a trinomial of degree _________.

Find each sum or difference. See Example 1. -2 - |-4|

Factor each polynomial completely. See Example 6. 6ar + 12br - 5as - 10bs

Evaluate each expression. See Example 5. -|4.5|

Evaluate each expression. See Example 5. -8 + (-4) (-6) ÷ 12 4 - (-3)

Find each sum or difference. See Example 1. 4 - 9

Rewrite each expression using the distributive property and simplify, if possible. See Example 7. x + x

Find each product. See Example 5. (x + 1) (x + 1) (x - 1) (x - 1)

Solve each inequality. Give the solution set using interval notation. See Examples 8 and 9. -2x - 2 ≤ 1 + x

Solve each linear equation. See Examples 1–3. 2 [x - (4 + 2x) + 3] = 2x + 2

Rewrite each expression using the distributive property and simplify, if possible. See Example 7. -(2d - f)

Find each product or quotient where possible. See Example 2. -5⁄2 ( 12⁄15 )

Give (a) the additive inverse and (b) the absolute value of each number. -6⁄5

Evaluate each expression for p = -4, q = 8, and r = -10. See Example 6. -p² - 7q + r

Identify the property illustrated in each statement. Assume all variables represent real numbers. (5x) • (1/5x) = 5 ( x • 1/x )