# Solving Quadratics: Question Preview (ID: 24764)

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**Solve x^2 + 4x – 32 = 0**

a) -8, -4

b) 8, 4

c) -8, 4

d) 8, -4

**Solve x^2 + 6x - 15 = -8 by completing the square.**

a) -7, -1

b) 7, 1

c) 7, -1

d) -7, 1

**A rocket is shot into the air with an initial velocity of 800 m/sec. The equation h = -16t2 + 1440t models the height of the ball. How long does it take for the rocket to hit the ground (h=0)?**

a) 16 seconds

b) 90 seconds

c) 800 seconds

d) 1440 seconds

**What is a quadratic equation?**

a) An equation that has four terms

b) An equation that has degree 4

c) An equation that has two terms

d) An equation that has degree 2

**Write a quadratic equation in the form ax^2 + bx + c = 0 that has the given numbers as solutions: (5, -3)**

a) x^2 - 2x - 15 = 0

b) x^2 - 15x - 2 = 0

c) x^2 + 2x - 15 = 0

d) x^2 - 15x + 2 = 0

**Solve the equation by factoring: x^2 + 9x + 20 = 0**

a) 4, 5

b) -5, -4

c) 9, 20

d) -4, 5

**Use the square root property to find all real solutions to the equation: (x - 14)^2 = 36**

a) (20)

b) (8, 20)

c) (-8, -20)

d) (-22)

**Find the real solutions by completing the square: z^2 + 12z + 21 = 0**

a) -12 ±√( 15)

b) -6 ± √(15)

c) 6 ± √(15)

d) 6 ± √(15)

**Use the quadratic formula to solve the equation: 8y^2 + 22y + 15 = 0**

a) (- 3/8), (- 1/3)

b) (3/2), (-5/4)

c) (3/2), (5/4)

d) (-3/2), (-5/4)

**Solve the equation by any method: 6x^2 + 21x - 12 = 0**

a) (1/2), -4

b) (-1/2), 4

c) 3, -4

d) -2, 4

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