AnswersAZ-College Prep Math BModeling with Quadratic Equations

Modeling with Quadratic Equations — Cumulative exam Answers

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The graph of which function has an axis of symmetry at x = ?

Question illustration
A
f(x) = 2x2 + x – 1
B
f(x) = 2x2 – x + 1
C
f(x) = x2 + 2x – 1
D
f(x) = x2 – 2x + 1
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The diagram represents the polynomial 4x2 + 23x – 72.

Question illustration
A
(4x + 8)(x – 9)
B
(4x – 8)(x + 9)
C
(4x + 9)(x – 8)
D
(4x – 9)(x + 8)
43

What are the factors of 2x2 + 3x – 54? Select two options.2x – 92x – 62x + 6x – 6x + 6

A
2x – 9
B
2x – 6
C
2x + 6
D
x – 6
E
x + 6
44

The projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is –4.9 m/s2.

A
0 = –4.9t2 + 19.6t + 24.5
B
0 = –4.9t2 + 24.5t + 19.6
C
19.6 = –4.9t2 + 24.5t
D
24.5 = –4.9t2 + 19.6t
45

The product of a binomial and a trinomial is x 3 + 3 x 2 − x + 2 x 2 + 6 x − 2. Which expression is equivalent to this product after it has been fully simplified?

A
x3 + 5x2 + 5x – 2
B
x3 + 2x2 + 8x – 2
C
x3 + 11x2 – 2
D
x3 + 10x2 – 2
46

Blake knows that one of the solutions to x2 – 6x + 8 = 0 is x = 2. What is the other solution?

A
x = –6
B
x = –3
C
x = 4
D
x = 8
47

The projectile motion of an object can be modeled usings(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is –4.9 m/s2.

A
s(t) = –4.9t2 + 39.2
B
s(t) = –4.9t2 + 39.2t
C
s(t) = –4.9t2 + 39.2t + 39.2
D
s(t) = –4.9t2 + 39.2t – 39.2
48

Megan and Suzanne each have a plant. They track the growth of their plants for four weeks. Whose plant grew at a faster rate, and what was the rate?

Question illustration
A
Suzanne’s at 2 inches per week
B
Suzanne’s at 1.5 inches per week
C
Megan’s at 3 inches per week
D
Megan’s at 2.5 inches per week
49

Which function has zeros at x = −2 and x = 5?

A
f(x) = x2 + 2x − 10
B
f(x) = x2 − 2x − 10
C
f(x) = x2 + 3x − 10
D
f(x) = x2 − 3x − 10
50

Which expression is equivalent to ?

Question illustration
A
mc024-2.jpg
Option A
B
mc024-3.jpg
Option B
C
mc024-4.jpg
Option C
D
mc024-5.jpg
Option D

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