AnswersJHS-Algebra 1A full yearZero and Negative Exponents

Zero and Negative Exponents — Cumulative exam Answers

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21
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Alejandro bought $3.50 worth of pencils and erasers at the school store. Pencils cost $0.50 apiece, and erasers cost $0.75 apiece. Which equation written in standard form represents the number of pencils, p, and the number of erasers, e, that Alejandro bought?

A
0.75e = 3.50 – 0.50p
B
0.50p + 0.75e = 3.50
C
3e = 14 – 2p
D
2p + 3e = 14
22
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Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)?

A
f(x) = 6x – 1
B
f(x) = 8x – 6
C
f(x) = 4x – 14
D
f(x) = 4x – 10
23

A vertical line passes through the point (–3, 5). Which point is also on this line?

A
(0, 0)
B
(5, –3)
C
(–3, –4)
D
(–1, 5)
24

Sonji has $5.25 in nickels and dimes.The coin value can be modeled by the equation , where d represents the number of dimes and n represents the number of nickels. If Sonji has 21 dimes, how many nickels does she have?

Question illustration
A
35
B
42
C
63
D
105
25

Which expression has a value of ?

Question illustration
A
(StartFraction 1 Over 108 EndFraction) cubed
Option A
B
(StartFraction 1 Over 9 EndFraction) Superscript 4
Option B
C
(StartFraction 1 Over 6 EndFraction) squared
Option C
D
(one-half) Superscript 5
Option D
26

Which table represents viable solutions for y = 5x, where x is the number of tickets sold for the school play and y is the amount of money collected for the tickets?

A
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries negative 100, negative 25, 40, 600. The second column is labeled money collected (y) with entries negative 500, negative 125, 250, 3000.
Option A
B
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries negative 20, 20, 100, 109. The second column is labeled money collected (y) with entries negative 100, 100, 500, 545.
Option B
C
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 0, 10, 51, 400. The second column is labeled money collected (y) with entries 0, 50, 255, 2000.
Option C
D
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 5, 65, 80, 200. The second column is labeled money collected (y) with entries 25, 350, 400, 1000.
Option D
27

Which table shows no correlation?

A
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 1, negative 2, negative 3, negative 2, negative 5, negative 4, negative 8.
Option A
B
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 6, negative 7, negative 4, negative 2, 0, negative 1, positive 3.
Option B
C
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 2, negative 4, positive 6, positive 8, positive 12, positive 10, negative 16.
Option C
D
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 3, negative 5, negative 9, negative 11, negative 13, negative 15, negative 17.
Option D
28

Which is the graph of y – 3 = (x + 6)?

Question illustration
A
Option
B
Option
C
Option
D
Option
29

Dwight creates a table of values for a function and plots the points. He finds that one y value divided by the next y value produces the same answer each time. What kind of function did he graph?

A
linear
B
quadratic
C
square root
D
exponential
30

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 4.5, 6.75, 10.125, 15.1875.

Question illustration
A
1.5
B
2.25
C
3.0
D
4.5
31

Yesterday, Selma read 75 pages of her book. If she reads at a pace of 2 pages per minute today, which table shows only viable solutions for the total number of pages she has read, y, after x minutes have elapsed?

A
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 2, 14, 39, 55. The second column is labeled total pages read (y) with entries 79, 101, 153, 185.
Option A
B
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries negative 16, 6, 27, 52. The second column is labeled total pages read (y) with entries 43, 87, 129, 179.
Option B
C
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 0, 19, 32, 47. The second column is labeled total pages read (y) with entries 0, 113, 139, 169.
Option C
D
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 0, 11, 20.25, 58. The second column is labeled total pages read (y) with entries 75, 97, 115.5, 191.
Option D
32

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
33

The graphs of y = 3x and y = 3x are shown below. In general, how does the growth of y = 3x compare to the growth of y = 3x?

Question illustration
A
The function y = 3x is growing slower than y = 3x.
B
The function y = 3x is growing faster than y = 3x.
C
The functions y = 3x and y = 3x are growing at the same rate.
D
The function y = 3x is growing slower than y = 3x.
34

The least common multiple of two numbers is 24. Which could be the two numbers?

A
6 and 8
B
4 and 6
C
8 and 16
D
4 and 12
35

In the table, x represents the age in years of a collectible baseball card, and y represents its value in dollars. Cost of a Pack of Baseball CardsAge in years, xValue in dollars, y50.75105.751510.752015.75Which statement is correct about the slope of the linear function that the table represents?

A
The slope is positive because as the age decreases, the value increases.
B
The slope is positive because as the age increases, the value increases.
C
The slope is negative because as the age decreases, the value decreases.
D
The slope is negative because as the age increases, the value decreases.
36

The 10th-grade class officers ordered t-shirts and sweatshirts to sell as a fundraiser. Each t-shirt weighed of a pound, and each sweatshirt weighed of a pound. The total weight of the contents of the box was pounds. Which equation written in standard form represents the number of t-shirts, t, and the number of sweatshirts, s, that were ordered?

Question illustration
A
StartFraction one-half EndFraction t plus StartFraction 3 Over 4 EndFraction s equals 43 and StartFraction 3 Over 4 EndFraction
Option A
B
StartFraction 3 Over 4 EndFraction s equals negative StartFraction one-half EndFraction s plus 43 and StartFraction 3 Over 4 EndFraction.
Option B
C
2t + 3s = 175
D
3s = –2t + 175
37

The graph represents the function where electricity usage in kilowatts per hour of a clock radio varies directly with the number of days it is plugged into the wall current.

Question illustration
A
0.25 kWh per day
B
0.50 kWh per day
C
2.40 kWh per day
D
4.00 kWh per day
38

Which expression is equivalent to ?

Question illustration
A
10 Superscript 12
Option A
B
11 Superscript 12
Option B
C
12 Superscript 10
Option C
D
12 Superscript 11
Option D
39

A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.

Question illustration
A
zero
B
undefined
C
negative
D
positive
40

What is the slope of the line that passes through the points (–20, 18) and (30, 14)?

A
Negative StartFraction 25 Over 2 EndFraction
Option A
B
Negative five-halves
Option B
C
Negative two-fifths
Option C
D
Negative StartFraction 2 Over 25 EndFraction
Option D

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