Answers GA-8th Grade MathematicsUnit Test

Unit Test — Unit test Answers

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Which linear function has the steepest slope?

On a coordinate plane, a line goes through points (0, 1) and (1, negative 2).

A 2-column table with 4 rows. Column 1 is labeled x with entries 3, 6, 9, 12. Column 2 is labeled y with entries 10, 13, 16, 19.

On a coordinate plane, a line goes through points (0, negative 2) and (1, 0).

A 2-column table with 4 rows. Column 1 is labeled x with entries 2, 4, 6, 8. Column 2 is labeled y with entries negative 4, negative 12, negative 20, negative 28.

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What is the y-intercept of a line that has a slope of and passes through point (8, 3)?

The table below lists some of the characteristics of the houses on Katrina’s street.Characteristics of Homes For Sale on Katrina’s StreetBedroomsAcres of landSale priceAppraised valueProperty tax 20.17$230,000$200,000$1,22020.20$210,000$220,000$1,23230.20$275,000$250,000$1,40040.24$275,000$275,000$1,54040.52$360,000$310,000$1,73640.75$350,000$320,000$1,79251.23$375,000$350,000$1,960Which relationship describes a function?

(bedrooms, sale price)

(acres of land, appraised value)

(sale price, bedrooms)

(appraised value, property tax)

A line is defined by the equation . Which shows the graph of this line?

On a coordinate plane, a line goes through points (negative 2, 0) and (0, 4).

On a coordinate plane, a line goes through points (0, 1) and (2, 5).

On a coordinate plane, a line goes through points (0, 4) and (2, 0).

On a coordinate plane, a line goes through points (0, 2) and (2, 0).

What method can be used to write the equation of a line in slope-intercept form given two points?

Find the slope using the formula , and then substitute one point and the slope into the equation to find the y-intercept.

Find the y-intercept using the formula , and then substitute one point and the y-intercept into the equation to find the slope.

Which word best describes the range of a function?

input

output

independent

relation

A line is defined by the equation . Which shows the graph of this line?

On a coordinate plane, a line goes through points (0, 3) and (3, 0).

On a coordinate plane, a line goes through points (0, negative 3) and (0, 3).

On a coordinate plane, a line goes through points (0, 0) and (2, 6).

On a coordinate plane, a line goes through points (negative 2, 6) and (0, 0).

Jorge and Mary are both filling cups with fruit punch in preparation for a party. After 3 minutes, Jorge had 53 cups left to be filled, and after 5 minutes, he had 25 cups left to be filled. Mary’s progress is shown in the table of values below. Assuming that both Jorge and Mary are filling cups at a constant rate, which statement is correct?Mary’s Cup-Filling ProgressTime (minutes)0.511.522.5Cups Remaining9981634527

Jorge is filling 14 cups per minute, which is faster than Mary.

Jorge is filling 28 cups per minute, which is faster than Mary.

Mary is filling 18 cups per minute, which is faster than Jorge.

Mary is filling 36 cups per minute, which is faster than Jorge.

Which choice shows a function with a domain of {–4, –2, 2, 4}?

On a coordinate plane, a vertical line is at x = 2.

On a coordinate plane, a line goes through (negative 2, negative 2) and (0, negative 3).

{(–4, 2), ( –2, 1), (2, 0), (4, 5)}

{(1, –4), (0, –2), (2, 2), (6, 4)}

The table of values below represents a linear function and shows Marco’s progress as he is pumping gas into his car. What is the output for the initial value?Gas in Marco’s CarSeconds Spent Pumping Gas012243648Gallons of Gas in Car357911

0 gallons

2 gallons

3 gallons

6 gallons

A horizontal line passes through the point (5, –1). Which point is also on this line?

(0, 0)

(–1, 5)

(5, –4)

(–2, –1)

Lorraine writes the equation shown.She wants to describe the equation using the term relation and the term function.The equation represents

a relation and a function

a relation but not a function

a function but not a relation

neither a relation nor a function

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

–9

–1

Which statement best illustrates using the vertical line test to determine if the graph below is a function of x?

The graph is not a function of x because the line x = 0 intersects the graph at two points.

The graph is a function of x because the line x = 5 does not intersect the graph.

The graph is not a function of x because the line y = 0 intersects the graph at two points.

The graph is a function of x because the line y = 5 does not intersect the graph.

What is the equation of the line passing through the points and in slope-intercept form?

y = one-half x minus three-fourths

y = one-half x + three-fourths

y = three-fourths x minus one-half

y = three-fourths x + one-half

Alaina wants to decide whether her current cell phone plan is better than a package that another company offers. To compare the two plans, she plotted two lines on a graph, where y represented the total cost of one month’s service and x represented the megabytes of data that she used in a month. Which part of the graph will represent the cost per megabyte of data used in each plan?

The x-intercepts of the two lines

The y-intercepts of the two lines.

The slopes of the two lines.

The coordinates of a point of intersection.

A line passes through the points (–3, 7) and (6, 4). Which shows the graph of this line?

On a coordinate plane, a line goes through points (0, 6) and (6, 4).

On a coordinate plane, a line goes through points (4, 6) and (6, 0).

On a coordinate plane, a line goes through points (2, negative 10) and (6, 4).

On a coordinate plane, a line goes through points (negative 10, 2) and (4, 6).

What are the slope and the y-intercept of the linear function that is represented by the table?xy

The slope is , and the y-intercept is .

A computer had 2 gigabytes of data stored on it when Jackie bought it, and she is storing an additional 3.5 gigabytes per year, as shown in the table below. Which of these statements is correct about the linear function that represents this situation?Amount of Data Stored on Jackie’s ComputerTime (year)01234Gigabytes of Data22 + 3.5 = 5.55.5 + 3.5 = 99 + 3.5 = 12.512.5 + 3.5 = 16

The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.

The initial value represents the 2 gigabytes per year that Jackie is storing, and the rate of change represents the 3.5 gigabytes of data stored on the computer when Jackie bought it.

The initial value represents the 3.5 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 2 gigabytes per year that Jackie is storing.

The initial value represents the 3.5 gigabytes per year that Jackie is storing, and the rate of change represents the 2 gigabytes of data stored on the computer when Jackie bought it.

The table below represents the number of math problems Jana completed as a function of the number of minutes since she began doing her homework. Does this situation represent a linear or non-linear function, and why?Jana’s Math Homework ProgressMinutesMath Problems Completed1327312416519

It represents a linear function because there is a constant rate of change.

It represents a linear function because there is not a constant rate of change.

It represents a non-linear function because there is a constant rate of change.

It represents a non-linear function because there is not a constant rate of change.

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