AnswersAZ-College Prep Math BModeling with Quadratic Equations

Modeling with Quadratic Equations — Cumulative exam Answers

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Which expression is equivalent to 7a2b + 10a2b2 + 14a2b3?

A
ab(7a2 + 10ab + 14b2)
B
a2b(7 + 10b + 14b2)
C
7a2(b + 3b2 + 7b3)
D
7a2b3(b2 + 3b + 7)
22
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The equation x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?

A
–19
B
–9
C
1
D
10
23

Which can be used to describe an equivalent expression for ?

Question illustration
A
Adding the exponents will create an equivalent expression.
B
Dividing the exponents will create an equivalent expression.
C
There are three factors of .
Option C
D
There are three factors of .
Option D
24

Which expression is a difference of squares with a factor of 5x − 8?

A
25x2 − 16
B
25x2 + 16
C
25x2 − 64
D
25x2 + 64
25

Which is the simplified form of ?

Question illustration
A
StartFraction 1 Over m Superscript 8 Baseline p EndFraction
Option A
B
StartFraction 1 Over m Superscript 8 EndFraction
Option B
C
StartFraction p over m Superscript 8 EndFraction
Option C
D
m Superscript 8
Option D
26

Which is the graph of f(x) = (x + 3)(x – 2)?

A
Option
B
Option
C
Option
D
Option
27

What is the midpoint of the x-intercepts off(x) = (x – 4)(x + 4)?

A
(0,0)
B
(0,4)
C
(–4,0)
D
(2,0)
28

Which expression is equivalent to –6x3 • x • y2 • y6?

A
mc010-1.jpg
Option A
B
mc010-2.jpg
Option B
C
mc010-3.jpg
Option C
D
mc010-4.jpg
Option D
29

What is the coefficient of x after simplifying (−x−5)2?

A
−25
B
−10
C
10
D
25
30

A perfect square trinomial can be represented by a square model with equivalent length and width. Which polynomial can be represented by a perfect square model?

A
x2 – 6x + 9
B
x2 – 2x + 4
C
x2 + 5x + 10
D
x2 + 4x + 16
31

A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees.

Question illustration
A
The rate of change between 1 and 2 trees is different than the rate of change between 2 and 3 trees.
B
The rate of change between 1 and 2 trees is different than the rate of change between 1 and 3 trees.
C
The rate of change between 2 and 3 trees is different than the rate of change between 3 and 4 trees.
D
The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.
32

What is the value of ?

Question illustration
A
Negative StartFraction 81 Over 16 EndFraction
Option A
B
Negative StartFraction 16 Over 81 EndFraction
Option B
C
StartFraction 16 Over 81 EndFraction
Option C
D
StartFraction 81 Over 16 EndFraction
Option D
33

Consider the quadratic function. f(p) = p2 – 8p – 5What are the values of the coefficients and the constant in the function?

A
a = –1, b = –8, c = –5
B
a = 1, b = –5, c = –8
C
a = 1, b = –8, c = –5
D
a = –1, b = –5, c = 8
34

Which expression is equivalent to ?

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
35

The graph of which function has a minimum located at (4, –3)?

A
f(x) = x2 + 4x – 11
Option A
B
f(x) = –2x2 + 16x – 35
C
f(x) = x2 – 4x + 5
Option C
D
f(x) = 2x2 – 16x + 35
36

Which graph shows a rate of change of between –4 and 0 on the x-axis?

Question illustration
A
On a coordinate plane, a straight line with a positive slope crosses the x-axis at (6, 0) and the y-axis at (0, 3). Solid circles appear on the line at (negative 4, negative 1), (0, 3).
Option A
B
On a coordinate plane, a parabola opens up. It goes through (negative 5.25, 4), has a vertex of (0, negative 3), and goes through (5.25, 4). Solid circles appear on the parabola at (negative 4, 1), (0, negative 3).
Option B
C
On a coordinate plane, a parabola opens down. It goes through (negative 5.5, negative 4), has a vertex of (0, 4), and goes through (5.5, negative 4). Solid circles appear on the parabola at (negative 4, 0), (0, 4).
Option C
D
On a coordinate plane, a curved line opens up and left in quadrant 2. It is asymptotic to the negative x-axis and positive y-axis. Solid circles appear on the line at (negative 4, 0.25), (0, 4).
Option D
37

A rectangle with an area of x2 – 4x – 12 square units is represented by the model.

Question illustration
A
(x + 2) and (x – 6)
B
(x + 6) and (x – 2)
C
(x + 2) and (x – 10)
D
(x + 10) and (x – 2)
38

What is the product?

Question illustration
A
24 a squared minus 6 b
Option A
B
24 a squared minus 6 a b
Option B
C
24 a squared minus 18 b squared
Option C
D
24 a squared minus 18 a b
Option D
39

What is the factored form of x2 – 6x – 16?

A
(x – 4)(x – 2)
B
(x + 4)(x – 2)
C
(x – 2)(x + 8)
D
(x – 8)(x + 2)
40

The monomial 36x4 is a perfect square. What is the square root of 36x4?

A
6x2
B
6x4
C
18x2
D
18x4

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