AnswersWI-Mathematics Grade 8 AUnit Test

Unit Test — Unit test Answers

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1
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Removing which point from the coordinate plane would make the graph a function of x?

Question illustration
A
(–4, 3)
B
(–2, 1)
C
(0, 4)
D
(1, 1)
2
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Sue graphed the formula for converting temperatures from Fahrenheit to Celsius.If the temperature is 50 degrees Fahrenheit, what is the temperature in Celsius?

Question illustration
A
5 degrees Celsius
B
10 degrees Celsius
C
15 degrees Celsius
D
20 degrees Celsius
3

The table shows the side lengths and perimeters of four squares.Side Length (x)Perimeter (y)4.5188.53410.254113.7555Which equation represents the relationship between the side length, x, and the perimeter, y?

A
y = one-fourth x
Option A
B
y = 4x
C
y = x + 13.5
D
y = x – 13.5
4

The graph below displays the wrist circumferences and heights of six students in Alyssa’s classroom. Is the height of these students a function of their wrist circumference?

Question illustration
A
Yes because as wrist circumference increases height also increases.
B
Yes because a line can be fit to these data to predict other pairings.
C
No because the height of 151 cm is paired with two wrist circumferences.
D
No because the wrist circumference of 16 cm is paired with two heights.
5

Which statement is a correct interpretation of the vertical line test?

A
If only one vertical line intersects the graph at exactly one point, the graph represents a function.
B
If only one vertical line intersects the graph at exactly one point, the graph does not represent a function.
C
If any vertical line can intersect the graph at more than one point, the graph represents a function.
D
If any vertical line can intersect the graph at more than one point, the graph does not represent a function.
6

Anthony was asked to give the coordinates of a point located in quadrant III. He gave the ordered pair (4, –10). Which statement best describes the error that Anthony made?

A
His coordinates are not multiples of 3.
B
His coordinates are both nonzero.
C
His x-coordinate is the wrong sign.
D
His y-coordinate is the wrong sign.
7

What is the domain of the function represented by the graph?

Question illustration
A
all real numbers
B
Negative 4 less-than-or-equal-to x less-than-or-equal-to 4
Option B
C
Negative 3 less-than-or-equal-to y less-than-or-equal-to negative 1
Option C
D
y less-than 0
Option D
8

Look at the graph of the linear function. The rate of change between point A and point B is 2. What is the rate of change between point C and point D?

Question illustration
A
–2
B
Negative one-half
Option B
C
One-half
Option C
D
2
9

Which of these tables represents a linear function?

A
A 2-column table with 4 rows. Column 1 is labeled x with entries 3, 4, 5, 6. Column 2 is labeled y with entries 3, 4, 6, 7.
Option A
B
A 2-column table with 4 rows. Column 1 is labeled x with entries 3, 4, 5, 6. Column 2 is labeled y with entries 6, 5, 4, 3.
Option B
C
A 2-column table with 4 rows. Column 1 is labeled x with entries 3, 4, 5, 6. Column 2 is labeled y with entries 7, 6, 5, 3.
Option C
D
A 2-column table with 4 rows. Column 1 is labeled x with entries 3, 4, 5, 6. Column 2 is labeled y with entries 2, 4, 5, 6.
Option D
10

The graph below represents the amount of change Jaxon would receive, y, if he bought a item with a cost of x. Jaxon’s ChangeWhich equation represents the graph?

Question illustration
A
y = 10 – x
B
y = x – 10
C
y = –x – 10
D
y = 10 + x
11

Which equation is a function of x?

A
x = 5
B
x = y squared + 9
Option B
C
x squared = y
Option C
D
x squared = y squared + 16
Option D
12

A graph in visual form that expresses the important characteristics of a situation and does not necessarily have numerical values is

A
a qualitative graph.
B
a discrete graph.
C
a continuous graph.
D
a cosmograph.
13

Which is a qualitative graph?

A
On a coordinate plane, a line with positive slope goes through points (negative 1, 0) and (0, 3).
Option A
B
On a coordinate plane, points are at (0, 2), (1, 3), (2, 2.5), (3, 3), (4, 4), and (4.5, 5).
Option B
C
A graph has time on the x-axis and height on the y-axis. The graph increases to point A, increases to point B, and then decreases to point C.
Option C
D
A graph has time on the x-axis and height on the y-axis. Segment A increases, segment B is increases, and segment C decreases.
Option D
14

Which table represents the graph below?

Question illustration
A
A 2-column table with 6 rows. Column 1 is labeled x with entries 0, 1, 2, 3, 4, 5. Column 2 is labeled y = 2 x minus 3 with entries negative 3, negative 1, 1, 3, 5, 7.
Option A
B
A 2-column table with 6 rows. Column 1 is labeled x with entries 0, 1, 2, 3, 4, 5. Column 2 is labeled y = 2 x minus 3 with entries negative 3, 1, negative 1, 3, 5, 7.
Option B
C
A 2-column table with 6 rows. Column 1 is labeled x with entries 0, 1, 2, 3, 4, 5. Column 2 is labeled y = 2 x minus 3 with entries negative 3, negative 1, 0, 3, 5, 7.
Option C
D
A 2-column table with 6 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3, 4, 7. Column 2 is labeled y = 2 x minus 3 with entries 0, 1, 2, 3, 4, 5.
Option D
15

The table shows the number of tickets sold and the profit made at a fundraiser. Tickets SoldProfit2$184$366$548$72Which describes the relationship between the number of tickets sold and the profit?

A
Each ticket sold yields $8 of profit.
B
Each ticket sold yields $9 of profit.
C
Each ticket sold yields $16 of profit.
D
Each ticket sold yields $18 of profit.
16

Which graph is a function of x?

A
On a coordinate plane, a vertical line is at x = negative 3.
Option A
B
On a coordinate plane, a v-shaped graph opens up.
Option B
C
On a coordinate plane, a parabola opens to the right.
Option C
D
On a coordinate plane, one curve opens to the left and another curve opens to the right.
Option D
17

What is the rate of change of the function?

Question illustration
A
–2
B
Negative one-half
Option B
C
One-half
Option C
D
2
18

On the way to her babysitting job, Mary rode her bike for the first mile. She stopped at a traffic light and waited a few minutes for the traffic light to turn green. She then walked her bike across the street and up a short steep hill. Finally, she rode the bike at a constant speed for one more mile. If Mary created a graph of her time and distance, which statement describes the part of her graph that would show no change in distance?

A
Mary used her bike to ride the first mile.
B
Mary stopped and waited for the traffic light to turn green.
C
Mary walked her bike across the avenue and up a short hill.
D
Mary rode her bike at a constant speed for one mile.
19

Max is painting a fence.The table shows the number of square feet he painted after various numbers of minutes. What is the rate of change?Amount of Fence Max PaintedMinutesSquare Feet Painted13.527310.5414517.5

A
–3.5
B
–1
C
1
D
3.5
20

The relationship between miles and kilometers is shown in the table below. MilesKilometers18.229.1229.547.2034.154.5652.884.48How many miles are in 19.08 kilometers?

A
11.925
B
17.48
C
20.68
D
30.528

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