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Analyzing Graphs — Unit test Answers

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The explicit rule for an arithmetic sequence is . What is the value of the 89th term?

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Which of the following is an arithmetic sequence?

A
–20, –25, –30, –35, –45, ...
B
–15.6, –12.9, –10.2, –7.5, –4.8, ...
C
3.1, 6.2, 12.4, 24.8, 49.6, ...
D
7.2, 3.6, 1.8, 0.9, 0.45, ...
3

What is the common difference in the following arithmetic sequence? 2.8, 4.4, 6, 7.6, ...

A
–4.8
B
–1.6
C
1.6
D
4.8
4

What is the common difference of the arithmetic sequence graphed below?

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The second term of an arithmetic sequence is –39. The rule can be used to find the next term of the sequence. What is the explicit rule for the arithmetic sequence?

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The relationship between men’s whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length in inches that corresponds to a shoe size of n. A men’s size 9 fits a foot 10.31 inches long, and a men’s size 13 fits a foot 11.71 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary.

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Option
Option A
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Option B
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Option C
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Option D
7

Which of the following is true regarding the sequence graphed below?

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A
The sequence is arithmetic because the terms have a common difference.
B
The sequence is arithmetic because the terms do not have a common difference.
C
The sequence is not arithmetic because the terms have a common difference.
D
The sequence is not arithmetic because the terms do not have a common difference.
8

What is the common difference in the following arithmetic sequence? nan1–122–1310421

A
–11
B
–1
C
1
D
11
9

Which of the following is true about the sequence graphed below?

Question illustration
A
The sequence is arithmetic because the terms have a common difference.
B
The sequence is arithmetic because the terms do not have a common difference.
C
The sequence is not arithmetic because the terms have a common difference.
D
The sequence is not arithmetic because the terms do not have a common difference.
10

What is the next term in the sequence 58, 47, 36, 25, ...?

A
–58
B
–8
C
14
D
69
11

Which is the graph of the equation ?

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12

A coordinate plane from negative 8 to 8 along the x-axis and from negative 7 to 7 along the y-axis.

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1. Plot the point (2, 4).2. From that point, count left 3 units and down 1 unit and plot a second point. 3. Draw a line through the two points.
B
1. Plot the point (2, 4).2. From that point, count left 1 unit and down 3 units and plot a second point. 3. Draw a line through the two points.
C
1. Plot the point (–2,4).2. From that point, count left 3 units and down 1 unit and plot a second point. 3. Draw a line through the two points.
D
1. Plot the point (–2,4).2. From that point, count left 1 unit and down 3 units and plot a second point. 3. Draw a line through the two points.
13

A karate studio charges $35 for the first course and $22.50 for each course after that, even if the student leaves the course early. Cena paid $170 for her son to take courses. How many courses did he take?

A
6 courses
B
7 courses
C
8 courses
D
10 courses
14

Working together, Rocco and Giulia can paint a room in 3 hours. It would have taken Rocco 7 hours to do the job alone. Which equation can be used to determine r, Giulia’s rate of work in parts per hour?

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+ 3r = 7
Option A
B
+ 3r = 1
Option B
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= r
Option C
D
= 3r
Option D
15

A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).

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A
–3x + 2 = y
B
–x + 2 = y
Option B
C
x – 3 = y
Option C
D
2x – 3 = y
16

Which of the following is true regarding the sequence below?

Question illustration
A
The sequence is arithmetic because there is a common difference of .
Option A
B
The sequence is arithmetic because there is a common difference of 1.
C
The sequence is not arithmetic because there is no common difference between the values of n.
D
The sequence is not arithmetic because there is no common difference between the values of an.
17

Lea and Marie are washing all the windows in their house. It would take Lea 80 minutes to wash the windows by herself, and it would take Marie 60 minutes to wash them by herself. Lea creates a table so she can find out how long it will take to wash the windows if they work together. What is the missing value in the table that represents the rate for Marie?

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StartFraction 1 Over 60 EndFraction t
Option A
B
60
C
t
Option C
D
60t
18

The graph shows the relationship between the volume of a rectangular prism and the volume of a square pyramid with an identical base and height.

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−3
B
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Option B
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Option C
D
3
19

Which of these values could be the slope of the line? Select two options.

A
–2
B
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Option B
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0
D
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Option D
E
3
20

What is the slope of the line represented by the equation f(t)=2t−6?

A
The slope is 2 and the y-intercept is −6.
B
The slope is −6 and the y-intercept is 2.
C
The slope is 2 and the y-intercept is 6.
D
The slope is 6 and the y-intercept is 2.

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