AnswersGA-8th Grade MathematicsUnit Test

Unit Test — Unit test Answers

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1
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Some states pay $0.05 for each can that is recycled. Which graph represents the amount of money earned, y, by recycling x cans in these states?

A
A graph titled Recycling Money has cans on the x-axis and dollars on the y-axis. A line goes through points (20, 1) and (40, 2).
Option A
B
A graph titled Recycling Money has cans on the x-axis and dollars on the y-axis. A line goes through points (1, 20) and (2, 40).
Option B
C
A graph titled Recycling Money has cans on the x-axis and dollars on the y-axis. A line goes through points (0, 5) and (1, 6).
Option C
D
A graph titled Recycling Money has cans on the x-axis and dollars on the y-axis. A line goes through points (5, 0) and (6, 1).
Option D
2
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is parallel to in the map below.Which proportion solves for the distance between D and E?

Question illustration
A
StartFraction 9 Over 6 EndFraction = StartFraction x Over 15 EndFraction
Option A
B
StartFraction 6 Over x EndFraction = StartFraction 15 Over 9 EndFraction
Option B
C
StartFraction 9 Over 6 EndFraction = StartFraction 15 Over x EndFraction
Option C
D
StartFraction 6 Over 15 EndFraction = StartFraction 9 Over x EndFraction
Option D
3

Which table of values corresponds to the graph below?

Question illustration
A
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, negative 1, 0, 2. Column 2 is labeled y with entries 0, 1, 2, 4.
Option A
B
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 1, 2, 4. Column 2 is labeled y with entries negative 2, negative 1, 2.
Option B
C
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 1, 4. Column 2 is labeled y with entries 0, 2, negative 1, 2.
Option C
D
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 2, 4. Column 2 is labeled y with entries 1, negative 2, 0, 2.
Option D
4

A restaurant has two appetizer specials. Tomato bread costs $5.50, and stuffed mushrooms cost $6.75. The total amount in sales from the two appetizers on a Friday night was $186.75. Which equation can be used to represent x, the number of stuffed mushroom orders and y, the number of tomato bread orders?

A
5.5x + 6.75y = 186.75
B
6.5x + 5.75y = 186.75
C
6.5x + 5.5y = 186.75
D
6.75x + 5.5y = 186.75
5

What is the y-intercept of the equation 4x + 5y = 20?

A
(0, 4)
B
(0, 5)
C
(4, 0)
D
(5, 0)
6

What is the x-intercept of the graph that is shown below?

Question illustration
A
(–2, 0)
B
(–1, 2)
C
(0, 4)
D
(4, 0)
7

is parallel to in the map below.Which proportion solves for the distance between Y and Z?

Question illustration
A
StartFraction 3 Over 9 EndFraction = StartFraction 4 Over x EndFraction
Option A
B
Three-fourths = StartFraction x Over 9 EndFraction
Option B
C
Four-thirds = StartFraction 9 Over x EndFraction
Option C
D
StartFraction 3 Over x EndFraction = StartFraction 4 Over 9 EndFraction
Option D
8

The linear function that is represented by which table has the same slope as the graph?

Question illustration
A
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries negative 9, negative 7, negative 5, negative 3, negative 1.
Option A
B
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries 9, 7, 5, 3, 1.
Option B
C
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 9, negative 7, negative 5, negative 3, negative 1. Column 2 is labeled y with entries negative 25, negative 21, negative 17, negative 13, negative 9.
Option C
D
A 2-column table with 5 rows. Column 1 is labeled x with entries 1, 3, 5, 7, 9. Column 2 is labeled y with entries negative 9, negative 13, negative 17, negative 21, negative 25.
Option D
9

Carey correctly graphs a linear function. The slope of the function is –1. The y-intercept is 3. Which is Carey’s graph?

A
On a coordinate plane, a line goes through points (0, 3) and (3, 0).
Option A
B
On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3).
Option B
C
On a coordinate plane, a line goes through points (0, negative 1) and (1, 2).
Option C
D
On a coordinate plane, a line goes through points (negative 1, 2) and (0, negative 1).
Option D
10

The graph shows a line and two similar triangles.What is the equation of the line?

Question illustration
A
y = 5 x
Option A
B
y = 3 x
Option B
C
y = three-fifths x
Option C
D
y = five-thirds x
Option D
11

Which graph has a slope of ?

Question illustration
A
On a coordinate plane, a line goes through points (0, negative 1) and (2, 2).
Option A
B
On a coordinate plane, a line goes through points (negative 3, 1) and (0, negative 1).
Option B
C
On a coordinate plane, a line goes through points (0, negative 1) and (3, 1).
Option C
D
On a coordinate plane, a line goes through points (negative 2, 2) and (0, negative 1).
Option D
12

What is the slope and equation of a line through the points (0, 9) and (3, 0)?

A
; y = –3x + 9
Option A
B
; y = –3x + 3
Option B
C
;
Option C
D
;
Option D
13

In the figure below, triangle GHI is similar to triangle MHL.What is the distance between M and H?

Question illustration
A
12
B
16
C
24
D
27
14

A teacher has a 2-gallon (32-cup) container of juice. She gives each student cup of juice. Which equation represents the amount of juice that remains, y, after x students are served?

Question illustration
A
y = 32 x minus one-half
Option A
B
y = one-half x minus 32
Option B
C
y = negative one-half x + 32
Option C
D
y = negative 32 x + one-half
Option D
15

The table below shows the predicted number of words Janae can type, y, in x minutes. Time (x, in minutes)Words Typed (y)5150103001545020600Which describes the pattern in the table?

A
Janae types 25 words each minute.
B
Janae types 30 words each minute.
C
Janae types 145 words each minute.
D
Janae types 150 words each minute.
16

Leila wrote an equation to represent the revenue of a parking lot for one day. She let x represent the number of cars that paid to park and y represent the number of trucks that paid to park. If a car costs $8 per day, a truck costs $10 per day, and the total revenue for the day was $830, which equation could Leila use to represent the number of cars and trucks that paid to park that day?

A
8 x + 10 y = 1,660
Option A
B
10 x + 8 y = 1,660
Option B
C
8 x + 10 y = 830
Option C
D
10 x + 8 y = 830
Option D
17

Line l is parallel to line e in the figure below.Which statements about the figure are true? Check all that apply.

Question illustration
A
Vertical angles prove that .
Option A
B
Vertical angles prove that .
Option B
C
The triangles are similar because corresponding sides are congruent.
D
The triangles are similar because alternate interior angles are congruent.
E
In the similar triangles, and are alternate interior angles.
Option E
F
In the similar triangles, and are corresponding angles.
Option F
18

A sand dune stands 5 feet above sea level. The hill is eroding at a rate of 1 foot per 20 years. Let y represent the height of the sand dune after x years. Which equation represents the situation?

A
y = negative StartFraction 1 Over 20 EndFraction x minus 5
Option A
B
y = negative StartFraction 1 Over 20 EndFraction x + 5
Option B
C
y = negative 20 x minus 5
Option C
D
y = negative 20 x + 5
Option D
19

Right triangle ABC is shown below.A similar right triangle would be created by a run of 4 and a rise of

Answer not available
20

Four students graphed one linear function each.RhettCameronEllisBradenWhich student graphed a linear function with a y-intercept at –4?

Question illustration
A
Rhett
B
Cameron
C
Ellis
D
Braden

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