Quadratic Equations Review

Solve the equation.

2x² - 12x > 0

• x > 6 or x < 0
• x > 0 or x < 6
• x > 0 or x < -6
• x > -6 or x < 0

Solve by factoring.

5x² - 32x + 35 = 0

• x = 5, 7/5

• x = -5, -7/5

• x = 5, -7/5

• x = -5, 7/5

Factor the expression: 3x² - 19x + 28

Mathematical Equivalence

ON

Find the zeros of f(x) = x² - 4x - 5

• -1 and 5
• 1 and -5
• -1 and -5
• 1 and 5

Write a quadratic function in standard form with zeros at 2 and 3/4.

y=?

Mathematical Equivalence

ON

Factor the expression: 4x² + 24x + 32

• 4(x+4)(x+2)

• 4(x-4)(x-2)

• 4(x-4)(x+2)

• 4(x+4)(x-2)

What are the domain and range for the function y = 2x² - 3? Select all that apply.

• (-∞, ∞)

• [-3, ∞)

• (-∞,-3]

• [-∞, ∞]

Solve the inequality.

x² - x - 6 ≤ 14

• -4 ≤ x ≤ 5

• -5 ≤ x ≤ 4

• x ≤ -4 or x ≥ 5

• x ≤ -5 or x ≥ 4

Factor the expression: x² + 2x - 63

• (x - 7)(x + 9)
• (x + 7)(x - 9)
• (x - 7)(x - 9)
• (x + 7)(x + 9)

Rui is a professional deep water free diver. His altitude (in meters relative to sea level), x seconds after diving, is modeled by:

d(x) = ¹/₂x² - 10x

How many seconds after diving will Rui reach his lowest altitude?