AnswersCrowley Original Credit Algebra I BCumulative Exam

Cumulative Exam — Cumulative exam Answers

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1
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The base of the parallelogram, b, can be found by dividing the area by the height.

Question illustration
A
2x + 3 +
Option A
B
2x + + x
Option B
C
2x + +
Option C
D
2x + +
Option D
2
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Which is the best description of the graph of the function f(x) = 60()x?

Question illustration
A
The graph has an initial value of 20, and each successive term is determined by subtracting .
Option A
B
The graph has an initial value of 20, and each successive term is determined by multiplying by .
Option B
C
The graph has an initial value of 60, and each successive term is determined by subtracting .
Option C
D
The graph has an initial value of 60, and each successive term is determined by multiplying by .
Option D
3

The first few steps in deriving the quadratic formula are shown.

Question illustration
A
The term is added to the right side of the equation, so it needs to be subtracted from the left side of the equation to balance the sides of the equation.
Option A
B
The distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.
C
The term needs to be converted so it has a common denominator before adding it to the left side of the equation to balance the equation.
Option C
D
The square root of the term needs to be found before adding the term to the left side of the equation to balance the sides of the equation.
4

Which is a zero of the quadratic function f(x) = 4x2 + 24x + 11?

A
x = –9.25
B
x = –5.5
C
x = 0.5
D
x = 3.25
5

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)
6

Simplify this expression.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

The height of the parallelogram, h, can be found by dividing the area by the length of the base.

Question illustration
A
2x + 5 +
Option A
B
2x – 7 –
Option B
C
2x – 7 +
Option C
D
2x + 5 –
Option D
8

The box plots show the distributions of weights of cucumbers and zucchini collected from a garden. Which statement explains the best measure of variability to use to compare the data sets?

Question illustration
A
The mean is the best measure because the data sets have the same minimum weight.
B
The range is the best measure because the distribution of zucchini weights is skewed left.
C
The median is the best measure because the data sets have different medians.
D
The standard deviation is the best measure because both data distributions are symmetric.
9

Shayna enlarged a square photo by adding 10 inches to each side so it could be seen on a large poster. The area of the enlarged photo is 256 square inches. In the equation (x + 10)2 = 256, x represents the side measure of the original square photo.

A
4 inches by 4 inches
B
6 inches by 6 inches
C
10 inches by 10 inches
D
12 inches by 12 inches
10

What is the vertex of the function f(x) = x2 + 12x?

A
(–6, –36)
B
(–6, 0)
C
(6, 0)
D
(6, –36)
11

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)
12

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

A
−25
B
−10
C
10
D
25
13

The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners?

A
f(x) = 85(1 – 0.25)x
B
f(x) = 85(1 + 0.25)x
C
f(x) = 85(0.25)x
D
f(x) = (85 – 0.25)x
14

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)
15

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
16

The data in the table represent the height of an object over time.

Question illustration
A
quadratic, because the height of the object increases or decreases with a multiplicative rate of change
B
quadratic, because the height increases and then decreases
C
exponential, because the height of the object increases or decreases with a multiplicative rate of change
D
exponential, because the height increases and then decreases
17

Simplify the expression –3(x + 3)2 – 3 + 3x. What is the simplified expression in standard form?

A
–3x2 – 18x – 27
B
–3x2 – 15x – 30
C
–3x2 + 3x + 6
D
–3x2 + 3x – 30
18

Which best describes the range of the function f(x) = 2(3)x?

A
y > 0
B
y ≥ 0
C
y > 2
D
y ≥ 2
19

The table shows the maze-completion times, in seconds, of two sets of mice in an experiment. Which statement is true about the variability of the group times?

Question illustration
A
The times in Group A have a greater standard deviation.
B
The times in Group A have a greater median.
C
The times in Group B have a greater interquartile range.
D
The times in Group B have a greater mean.
20

Which term can be added to the list so that the greatest common factor of the three terms is 12h3?36h3, 12h6, __________

A
6h3
B
12h2
C
30h4
D
48h5

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