Review Quadratic Equations and Inequalities

Find the value of x in the quadratic equation x² – 144 = 0.

• 12

• -12

• 16

• -16

Tags

CCSS.8.EE.A.2

Given the quadratic equation x² + 7x + 12, what are its factors?

• (x + 2)(x + 6)

• (x + 3)(x + 4)  

• (x + 12)(x + 1)

•  (x – 4)(x – 3)

2x² + 5x ≥ 12

• [-4, 3/2]

• (−∞, -4) U (3/2, ∞)

• (−∞, -4] U [3/2, ∞)

• no solution

Identify the solutions to the system of quadratic inequalities. Select all that apply.

• {(0, 1)}

• {(1, 0)}

• {(-1, 0)}

• {(0, -1)}

Tags

CCSS.8.EE.C.8B

Which inequality is represented by the graph?

• y > -(x - 4)² + 1

• y > -(x - 1)² + 4

• y < (x - 4)² + 1

• y > (x + 4)² + 1

Tags

CCSS.HSF-IF.C.7A

Which inequality is represented by the graph?

• y > (x - 3)² - 3

• y ≥ (x + 3)² - 3

• y > (x + 3)² - 3

• y ≥ (x - 3)² - 3

Tags

CCSS.HSF-IF.C.7A

Which inequality is shown?

• y< -x²

• y≤ -x²

• y> -x²

• y≥ -x²

Tags

CCSS.HSF-IF.C.7A

What is the solution to the following inequality? 6x -3 < 51

• x > 9

• x < 8

• x < 48

• x < 9

Tags

CCSS.7.EE.B.4B

How many solutions does this system of equations have?

• one real solution

• two real solutions

• no real solutions

• infinitely many solutions

Tags

CCSS.HSA.REI.C.7

3x - x² > 0

• (−∞, 0) U (3, ∞)

• (−∞, - 3) U (0, ∞)

• (-3, 0)

• (0, 3)