0. Review of College Algebra

Add or subtract, as indicated. See Example 4. 2(12y² - 8y + 6) - 4(3y² - 4y +2)

Add or subtract, as indicated. See Example 4. (6m⁴ - 3m² + m) - (2m³ + 5m² + 4m) + (m² - m)

Evaluate each expression. See Example 5. -|-2|

Factor each polynomial completely. See Example 6. 8t³ + 125

Give (a) the additive inverse and (b) the absolute value of each number. 0.16

Evaluate each expression. See Example 5. 10 + 30 ÷ 2 • 3

Concept Check Evaluate each exponential expression. a. 8² b. -8² c. (-8)² d. -(-8)²

Factor each polynomial completely. See Example 6. 8x³y⁴ + 12x²y³ + 36xy⁴

Simplify each expression. See Example 8. 3(k + 2) - 5k + 6 + 3

Find the given distances between points P, Q, R, and S on a number line, with coordinates -4, -1, 8, and 12, respectively. See Example 3. d (P, Q)

Evaluate each expression. See Example 5. 18 - 4² + 5 - (3 - 7)

Find each sum or difference. See Example 1. -15 + 6

CONCEPT PREVIEW Which of the following is the correct factorization of x⁴ - 1? A. (x² - 1) (x² + 1) B. (x² + 1) (x + 1) (x - 1) C. (x² - 1)² D. (x - 1)² (x + 1)²

Factor each polynomial completely. See Example 6. x² - 2x - 15

Simplify each expression. See Example 1. (½ mn) (8m²n²)