Unit 4 Part 2 Review 24-25

The expression 2x² - 5x -3 can be rewritten as (2x + 1)(x - 3). (x - 3) is a __________ of 2x² - 5x - 3.

• Divisor

• Factor

• Multiple

• Zero

Factor the quadratic expression x² - 13x + 36.

• (x - 9)(x - 4)

• (x + 9)(x - 4)

• (x - 9)(x + 4)

• (x + 9)(x + 4)

• (x - 6)(x - 6)

Factor the quadratic expression 4x² - 9x + 5.

• (2x - 1)(2x + 5)

• (4x - 5)(x - 1)

• (2x - 5)(2x + 1)

• (4x + 1)(x - 5)

• (4x + 5)(x - 1)

Factor the quadratic expression x² - 14x + 49.

• (x - 7)²

• (x + 7)²

• (x - 6)(x - 8)

• (x + 6)(x + 8)

• (x - 6)²

Rewrite the function y = x² - 8x + 18 in vertex form y = (x - h)² + k.

• y = (x - 4)² + 2

• y = (x + 4)² - 2

• y = (x - 3)² + 9

• y = (x + 3)² - 9

• y = (x - 2)² + 5

Factor completely: 16x² - 81.

• (4x - 9)(4x + 9)

• (4x - 3)(4x + 3)

• (2x - 9)(2x + 9)

• (2x - 3)(2x + 3)

• (8x - 9)(8x + 9)

Solve for x.

x² + 3 = 7

• x = ±2

• x = ±3

• x = ±1

• x = ±4

Solve the quadratic equation

(x - 2)² = 9

• x = -5 or 1

• x = 5 or -1

• x = ±5

• x = ±1

• x = 3 or -3

A rectangular yard has a length that is seven meters longer than its width. The area of the yard is 294 square meters. Choose the answer that best describes the possible values of x.

• x = 14 is the only solution

• x = -21 is the only solution

• x = 14 or x = -21 are both solutions

• neither x = 14 nor x = -21 are solutions

Complete the area model to identify the factored form of the quadratic expression it represents.

• (x - 2)(x - 3)

• (x + 2)(x - 3)

• (x + 2)(x + 3)

• (x - 1)(x - 6)