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Solving Quadratics
Test Description: Solving Quadratics by Factoring, Completing the Square, and the Quadratic Formula
Instructions: Answer all questions to get your test result.
1) Solve x^2 + 4x – 32 = 0
A
-8, -4
B
8, -4
C
-8, 4
D
8, 4
2) Solve x^2 + 6x - 15 = -8 by completing the square.
A
-7, -1
B
-7, 1
C
7, 1
D
7, -1
3) 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
4) What is a quadratic equation?
A
An equation that has four terms
B
An equation that has two terms
C
An equation that has degree 2
D
An equation that has degree 4
5) 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
6) Solve the equation by factoring: x^2 + 9x + 20 = 0
A
4, 5
B
-5, -4
C
9, 20
D
-4, 5
7) Use the square root property to find all real solutions to the equation: (x - 14)^2 = 36
A
(20)
B
(-22)
C
(-8, -20)
D
(8, 20)
8) Find the real solutions by completing the square: z^2 + 12z + 21 = 0
A
-6 ± √(15)
B
6 ± √(15)
C
-12 ±√( 15)
D
6 ± √(15)
9) Use the quadratic formula to solve the equation: 8y^2 + 22y + 15 = 0
A
(3/2), (-5/4)
B
(- 3/8), (- 1/3)
C
(-3/2), (-5/4)
D
(3/2), (5/4)
10) Solve the equation by any method: 6x^2 + 21x - 12 = 0
A
-2, 4
B
3, -4
C
(1/2), -4
D
(-1/2), 4
*select an answer for all questions
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