AnswersQ1 Mathematics 8Standard Form

Standard Form — Unit test Answers

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Which explains whether or not the graph represents a direct variation?

Question illustration
A
The graph has a constant of variation of 3, so it represents a direct variation.
B
The graph has a slope of 3, so it represents a direct variation.
C
The graph has a positive slope, so it does not represent a direct variation.
D
The graph does not begin at the origin, so it does not represent a direct variation.
2
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The Bui family consists of 2 adults and 3 children. They spent $36 for zoo tickets. The equation 2x + 3y = 36 describes the cost for x adult tickets and y child tickets. Part of the equation is graphed below. What is the y-intercept?

Question illustration
A
(0, 12)
B
(0, 18)
C
(12, 0)
D
(18, 0)
3

Four students drew graphs of a linear function. Which student drew a line with a slope of 3?AnaliseBenitoCharlieDariya

Question illustration
A
Analise
B
Benito
C
Charlie
D
Dariya
4

Jalen is computing the slope of the line on the graph below. Step 1: (–4, 0) and (2, 3)Step 2: Step 3: Step 4: The slope is 2.Which statement describes Jalen’s error?

Question illustration
A
Jalen computed the ratio of change in x to change in y.
B
Jalen used the ordered pairs in the wrong order.
C
Jalen made a computational error.
D
Jalen used an ordered pair that is not on the line.
5

Eric earns a weekly salary and a commission on each item that he sells. The equation y = 10x + 50 represents the amount of money that Eric earns weekly. Bailey earns a greater weekly salary than Eric but the same commission rate. Which graph could represent the amount of money that Bailey earns weekly, y, based on the number of items sold, x?

A
A graph titled Bailey's Weekly Earnings has items sold on the x-axis and total earned on the y-axis. A line goes through points (0, 75), (5, 125), (10, 175).
Option A
B
A graph titled Bailey's Weekly Earnings has items sold on the x-axis and total earned on the y-axis. A line goes through points (0, 50), (1, 75), (2, 100).
Option B
C
A graph titled Bailey's Weekly Earnings has items sold on the x-axis and total earned on the y-axis. A line goes through points (0, 75), (1, 100), (2, 125).
Option C
D
A graph titled Bailey's Weekly Earnings has items sold on the x-axis and total earned on the y-axis. A line goes through points (0, 50), (5, 100), (10, 150).
Option D
6

The speed of an object in space is shown in the graph.What is the slope of the line?

Question illustration
A
10
B
15
C
20
D
25
7

The linear function graphed below represents Brenda’s monthly cell phone bill based on the number of hours she uses. What is her hourly rate?

Question illustration
A
$12 per hour
B
$15 per hour
C
$27 per hour
D
$39 per hour
8

At breakfast, a restaurant charges $2 for the first cup of orange juice and then $1 for each refill. Which graph represents this situation?

A
A graph titled Orange Juice has number of refills on the x-axis and total cost on the y-axis. A line goes through points (0, 1) and (1, 3).
Option A
B
A graph titled Orange Juice has number of refills on the x-axis and total cost on the y-axis. A line goes through points (0, 1) and (1, 2).
Option B
C
A graph titled Orange Juice has number of refills on the x-axis and total cost on the y-axis. A line goes through points (0, 2) and (1, 4).
Option C
D
A graph titled Orange Juice has number of refills on the x-axis and total cost on the y-axis. A line goes through points (0, 2) and (1, 3).
Option D
9

The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the veterinarian gives a 30-pound dog milligram of the medicine, which equation relates the weight, w, and the dosage, d?

Question illustration
A
d = StartFraction 1 Over 50 EndFraction w
Option A
B
d = three-fifths w
Option B
C
d = 18 w
Option C
D
d = 50 w
Option D
10

A line has a slope of and passes through the point (–3, 8). What is the equation of the line?

Question illustration
A
y = negative two-thirds x + 6
Option A
B
y = negative two-thirds x + 8
Option B
C
y = 6 x minus two-thirds
Option C
D
y = 8 x minus two-thirds
Option D
11

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
12

A line has a slope of and a y-intercept of –2. What is the x-intercept of the line?

Question illustration
A
–4
B
–1
C
1
D
4
13

The two tables below show the amount of tip, y, included on a bill charging x dollars. Which compares the slopes of the lines created by the tables?

Question illustration
A
The slope of the line for Restaurant B is times greater than the slope of the line for Restaurant A.
Option A
B
The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.
C
The slope of the line for Restaurant B is 5 times greater than the slope of the line for Restaurant A.
D
The slope of the line for Restaurant B is 10 times greater than the slope of the line for Restaurant A.
14

What is the slope of the line represented by the values in the table?xy10142–230782034

A
Negative 2
Option A
B
StartFraction 1 Over negative 2 EndFraction
Option B
C
One-half
Option C
D
2
Option D
15

Samantha’s parents give her $10 per week. For each chore that she does not complete, she must repay her parents $1. Which graph models Samantha’s allowance?

A
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (1, 9).
Option A
B
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (2, 12).
Option B
C
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (1, 6) and (1.5, 16).
Option C
D
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (1, 0).
Option D
16

Which graph or equation represents a nonproportional relationship? ABCy 0.375xD

Question illustration
A
A
B
B
C
C
D
D
17

The table of values below represents a linear function and shows the amount of money in Juanita’s savings account since she began her part-time job. What is her monthly rate of savings?Amount in Juanita’s Savings AccountNumber of Months Working at Part-Time Job02468Amount in Savings Account (in dollars)$36$60$84$108$132

A
$12 per month
B
$18 per month
C
$24 per month
D
$36 per month
18

A line has a slope of –3 and a y-intercept of 3. What is the x-intercept of the line?

Question illustration
A
–9
B
–1
C
1
D
9
19

The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?

A
Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
B
Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
C
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
D
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
20

Kelsey graphed the equation y = 3x + 1 as shown below.Which describes Kelsey’s error?

Question illustration
A
Kelsey graphed the y-intercept on the x-axis.
B
Kelsey graphed –3 instead of 3 as the y-intercept.
C
Kelsey graphed the slope as up 1 right 1 instead of up 1 left 1.
D
Kelsey graphed the slope as the y-intercept and the y-intercept as the slope.

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