Cumulative Exam — Cumulative exam Answers

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What is the value of 53i 9?

A
–125i
B
–15i
C
15i
D
125i
27

How does the graph of g(x) = 3x – 2 compare to the graph of f(x) = 3x?

A
The graph of g(x) is a translation of f(x) 2 units left.
B
The graph of g(x) is a translation of f(x) 2 units right.
C
The graph of g(x) is a translation of f(x) 2 units up.
D
The graph of g(x) is a translation of f(x) 2 units down.
28

What are the domain and range of f(x) = 2(3x)?

A
domain: ; range:
Option A
B
domain: ; range:
Option B
C
domain: ; range:
Option C
D
domain: ; range:
Option D
29

What is the value of ?

Question illustration
A
3
B
5
C
15
D
25
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32

What is the solution of ?

Question illustration
A
x = –2500
B
x = –50
C
x = –2.5
D
no solution
33

Alice’s backyard is a rectangular piece of property that is twice as long as it is wide. The total area of her yard is 1,000 m2. What is the approximate width of her backyard?A = lw

A
11.2 m
B
15.8 m
C
22.4 m
D
44.8 m
34

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.
35

The first figure of the Sierpinski triangle has one shaded triangle. The second figure of the Sierpinski triangle has three shaded triangles. The third figure of the Sierpinski triangle has nine shaded triangles. Which summation represents the total number of shaded triangles in the first 15 figures?

A
Sigma-Summation Underscript n = 1 Overscript 15 EndScripts 1 (3) Superscript n minus 1
Option A
B
Sigma-Summation Underscript n = 1 Overscript 15 EndScripts 3 (1) Superscript n minus 1
Option B
C
Sigma-Summation Underscript n = 1 Overscript 15 EndScripts 1 (one-third) Superscript n minus 1
Option C
D
Sigma-Summation Underscript n = 1 Overscript 15 EndScripts one-third (1) Superscript n minus 1
Option D
36

Using the quadratic formula to solve 2x2 = 4x – 7, what are the values of x?

A
2 plus-or-minus StartRoot 10 EndRoot i
Option A
B
1 plus-or-minus StartRoot 10 EndRoot i
Option B
C
StartFraction 2 plus-or-minus StartRoot 10 EndRoot i Over 2 EndFraction
Option C
D
1 plus-or-minus StartRoot 5 EndRoot i
Option D
37

A simple random sample of 50 adults was surveyed, and it was found that the mean amount of time that they spend surfing the Internet per day is 54.2 minutes, with a standard deviation of 14.0 minutes. What is the 99% confidence interval (z-score = 2.58) for the number of minutes that an adult spends surfing the Internet per day?Remember, the margin of error, ME, can be determined using the formula .

Question illustration
A
49.1 minutes to 59.3 minutes
B
50.3 minutes to 58.1 minutes
C
54.2 minutes to 58.1 minutes
D
54.2 minutes to 59.3 minutes
38

Which expression is equivalent to (4 + 7i)(3 + 4i)?

A
–16 + 37i
B
12 – 28i
C
16 – 37i
D
37 + 16i
39

What is the solution set of the quadratic inequality

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