AnswersJHS-Algebra 1A full yearCumulative Exam

Graphing on the Coordinate Plane Answers

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What is the inverse of the function f(x) = 4x + 8?

A
h(x) = x – 2
Option A
B
h(x) = x + 2
Option B
C
h(x) = x – 2
Option C
D
h(x) = x + 2
Option D
2
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The number of hot peppers in a salad is based on the number of servings, as shown in the table below.SaladServingsHot peppers24488?1224How many hot peppers are in an 8-serving salad?

A
12
B
14
C
16
D
32
3

Elias and Niko are polishing the silver at the heritage museum. Elias could polish all the silver himself in 40 minutes. That task would take Niko 50 minutes to complete alone. Which table is filled in correctly and could be used to determine how long it would take if Elias and Niko polished the silver together?

A
A table showing Rate in part per minute, Time in minutes, and Part of Silver Polished. The First row shows Elias, and has StartFraction 1 Over 40 EndFraction, t, and StartFraction 1 Over 40 EndFraction t. The second row shows Niko and has, StartFraction 1 Over 50 EndFraction, t, and StartFraction 1 Over 50 EndFraction t.
Option A
B
A table showing Rate in part per minute, Time in minutes, and Part of Silver Polished. The First row shows Elias, and has r, StartFraction 1 Over 40 EndFraction, and StartFraction 1 Over 40 EndFraction r. The second row shows Niko and has, r, StartFraction 1 Over 50 EndFraction, and StartFraction 1 Over 50 EndFraction r.
Option B
C
A table showing Rate in part per minute, Time in minutes, and Part of Silver Polished. The First row shows Elias, and has 40, t, and 40 t. The second row shows Niko and has, 50, t, and 50 t .
Option C
D
A table showing Rate in part per minute, Time in minutes, and Part of Silver Polished. The First row shows Elias, and has r, 40, and 40 r. The second row shows Niko and has, r 50, and 50 r .
Option D
4

On a coordinate plane, a v-shaped line crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and the x-axis at (2, 0).

Question illustration
A
all real numbers
B
all real numbers greater than or equal to –2
C
all real numbers greater than or equal to –5
D
all real numbers greater than or equal to 0
5

The point is plotted on the number line. What whole number best approximates the value of x?

Question illustration
A
81
B
87
C
88
D
93
6

A mapping diagram shows a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negative 4), (0, negative 4), (negative 2, 2), (negative 2, negative 1), (1, negative 3), (3, 7).

Question illustration
A
(–3, –4)
B
(–2, –1)
C
(1, –3)
D
(3, 7)
7

Heston Wagons reported in June that 20 out of 500 wagons failed inspection. In July, they reported that 25 out of 625 wagons failed inspection. Which proportion can be used to represent the wagon failures?

A
StartFraction 25 over 20 EndFraction = StartFraction 500 over 625 EndFraction
Option A
B
StartFraction 20 over 25 EndFraction = StartFraction 625 over 500 EndFraction
Option B
C
StartFraction 20 over 500 EndFraction = StartFraction 625 over 25 EndFraction
Option C
D
StartFraction 20 over 500 EndFraction = StartFraction 25 over 625 EndFraction
Option D
8

What is the solution to the equation ?

Question illustration
A
r = 2.75
Option A
B
r = 3.75
Option B
C
r = 5.25
Option C
D
r = 5.75
Option D
9

Which expression represents a rational number?

A
StartFraction 5 Over 9 EndFraction + StartRoot 18 EndRoot
Option A
B
Pi + StartRoot 16 EndRoot
Option B
C
StartFraction 2 Over 7 EndFraction + StartRoot 121 EndRoot
Option C
D
StartFraction 3 Over 10 EndFraction + StartRoot 11 EndRoot
Option D
10

The table shows the number of blue marbles and red marbles that four friends have collected. Blue and Red Marbles BlueRedJasmine1210Aaron32Lucian1010Gretchen142Which person has the highest ratio of blue to red marbles?

A
Jasmine
B
Aaron
C
Lucian
D
Gretchen
11

Which phrase describes the algebraic expression ?

Question illustration
A
the product of 8 and 7 more than a number
B
the quotient of 8 and 7
C
8 times the sum of a number and 7
D
8 times a number plus 7
12

Which expression correctly represents “six more than the quotient of three and a number, decreased by eight”?

A
6 + StartFraction 3 Over n EndFraction minus 8
Option A
B
6 + StartFraction n Over 3 EndFraction minus 8
Option B
C
6 + StartFraction 3 Over n EndFraction + 8
Option C
D
6 + StartFraction n Over 3 EndFraction + 8
Option D
13

This mapping shows a functional relationship.

Question illustration
A
0
B
2
C
3
D
4
14

Several friends bought flowers to make table centerpieces. Write the ratios of purple flowers to white flowers for each friend.Bouquets Colors Purple FlowersWhite FlowersRowan82Marcia101Jillian102Lulua183Who has the largest ratio of purple to white flowers?

A
Rowan
B
Marcia
C
Jillian
D
Lulua
15

What is the value of “three less than the quotient of six and a number, increased by nine” when n = 3?

A
2
B
4
C
8
D
10
16

Which sequences are arithmetic? Select three options.–8.6, –5.0, –1.4, 2.2, 5.8, …2, –2.2, 2.42, –2.662, 2.9282, …5, 1, –3, –7, –11, …–3, 3, 9, 15, 21, …–6.2, –3.1, –1.55, –0.775, –0.3875, …

A
–8.6, –5.0, –1.4, 2.2, 5.8, …
B
2, –2.2, 2.42, –2.662, 2.9282, …
C
5, 1, –3, –7, –11, …
D
–3, 3, 9, 15, 21, …
E
–6.2, –3.1, –1.55, –0.775, –0.3875, …
17

The crew of a garbage truck takes 5 hours to empty all the bins in one neighborhood on pickup day. The city assigned a second garbage truck to this neighborhood. During their training, it took the crew from the second truck 8 hours to empty all the bins.

Question illustration
A
0.6
B
0.5
C
0.7
D
0.4
18

The potential energy, P, in a spring is represented using the formula P = kx2. Lupe uses an equivalent equation, which is solved for k, to determine the answers to her homework.

Question illustration
A
k = 2Px2
B
k = Px2
Option B
C
k =
Option C
D
k =
Option D
19

The table represents a function.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
20

On a history test, Rasha scored 40 points on the essay portion. In addition to the essay, there were multiple-choice questions worth three points each. Which expression represents Rasha’s total points if she answered p multiple-choice questions correctly?

A
3 + 40p
B
3 + p + 40
C
mc015-1.jpg
Option C
D
40 + 3p

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