0. Review of College Algebra

Solve the equation. Then state whether it is an identity, conditional, or inconsistent equation. 

$-2\(\left\)(5-3x\(\right\))+x=7x-10$

Find each product or quotient where possible. See Example 2. -10⁄17 ÷ ( -12⁄5 )

Rewrite each expression using the distributive property and simplify, if possible. See Example 7. 5k + 3k

Find each product. See Example 5. (y + 2)³

Solve each linear equation. See Examples 1–3. 7x - 5x + 15 = x + 8

CONCEPT PREVIEW Work each problem. Match each polynomial in Column I with its factored form in Column II. I II a. 8x³ - 27 A. (3 - 2x) (9 + 6x + 4x²) b. 8x³ + 27 B. (2x - 3) (4x² + 6x + 9) c. 27 - 8x³ C. (2x + 3) (4x² - 6x + 9)

Find each product. See Example 5. (4x² - 5y) (4x² + 5y)

Evaluate each expression. See Example 5. 6 • 3 - 12 ÷ 4

CONCEPT PREVIEW Which one is not a linear equation? A. 5x + 7 (x - 1) = -3x B. 9x² - 4x + 3 = 0 C. 7x + 8x = 13 D. 0.04x - 0.08x = 0.40

Simplify each expression. See Example 8. -6p + 5 - 4p + 6 + 11p

Factor each polynomial completely. See Example 6. t⁴ - 1

Find each sum or difference. See Example 1. -7⁄3 + 3⁄4

Evaluate each expression. See Example 5. 5 - 7 • 3 - (-2)³

CONCEPT PREVIEW Work each problem. Match each polynomial in Column I with its factored form in Column II. I II a. x² + 10xy + 25y² A. (x + 5y) (x - 5y) b. x² - 10xy + 25y² B. (x + 5y)² c. x² - 25y² C. (x - 5y)² d. 25y² - x² D. (5y + x) (5y - x)

Evaluate each expression. See Example 4. -2⁴