0. Review of College Algebra

Given the equations of two lines $y=2x+1$ and $y=-x+4$, determine whether the lines intersect. If they do, find the point of intersection.

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

Factor each polynomial completely. See Example 6. 4x² - 28x + 40

Solve the Equation.

$3\(\left\)(2-5x\(\right\))=4x+25$

Solve the equation.

$\(\frac\)92+\(\frac\)14\(\left\)(x+2\(\right\))=\(\frac\)34x$

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

$5x+17=8x+12-3\(\left\)(x+4\(\right\))$

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

$\(\frac{x}{4}\)+\(\frac\)16=\(\frac{x}{3}\)$

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

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

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

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)

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)

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

Simplify each expression. See Example 1. (-4x⁵) (4x²)

Simplify each expression. See Example 1. n⁶ • n⁴ • n

Simplify each expression. See Example 1. 9³ • 9⁵