AnswersLHS Algebra ICumulative Exam

Cumulative Exam — Cumulative exam Answers

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21
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The tile along the edge of a triangular community pool needs to be replaced.

Question illustration
A
12x2 + 15
B
20x2 + 25
C
12x2 + 8x + 25
D
24x2 + 16x + 50
22
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Which rational expression has a value of 1 when x = –1?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
23

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.
24

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)
25

The value of a computer depreciates with age, as shown in the table.Value of a Computer

Question illustration
A
f(t) = 1,600 – 226.16t
B
f(t) = 1,600 – 320t
C
f(t) = 1,600(0.2)t
D
f(t) = 1,600(0.8)t
26

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
27

What is the solution to the inequality ?

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
28

Which are differences of perfect cubes? Select two options.9a3- 27125a12 - 72216a6 - 27y38a15 - 27225a3 - 216

A
9a3- 27
B
125a12 - 72
C
216a6 - 27y3
D
8a15 - 27
E
225a3 - 216
29

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.
30

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
31

What is the solution set for ?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
32

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
33

Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x – 4.4.

Question illustration
A
–6.72
B
–0.58
C
0.58
D
6.72
34

Which are points on the graph of y = 1.5 + ⌈x⌉? Select three options (–4.5, –2.5)(–0.8, 0.5)(7.9, 9.5)(4.5, 6)(1.3, 3.5)

A
(–4.5, –2.5)
B
(–0.8, 0.5)
C
(7.9, 9.5)
D
(4.5, 6)
E
(1.3, 3.5)
35

The table shows the side length and approximate area of an octagonal stop sign.Area of a Stop Sign

Question illustration
A
f(x) = 4.8x2
B
f(x) = 4x2
C
f(x) = (4.8)x
D
f(x) = (4)x
36

The histogram below shows the number of properties in a town that sold within certain time periods. Why might the graph be considered misleading?

Question illustration
A
The scales on the x- and y-axes are unequal.
B
The interval on the x-axis is too large for the data set.
C
The scale on the y-axis misrepresents the difference in the heights of the bars.
D
The interval on the y-axis is too large for the data set.
37

Which represents the polynomial written in standard form?4m – 2m4 – 6m2 + 9

A
9 + 4m + 2m4 – 6m2
B
2m4 – 6m2 – 4m + 9
C
9 – 6m2 + 4m – 2m4
D
–2m4 – 6m2 + 4m + 9
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

A function g(x) is defined as shown.g(x) = What is the value of g(4)?

Question illustration
A
10
B
12
C
14
D
16

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