The equation y = 5x – 10 represents function J. This table represents function K. Which statement is true?

The slope for both functions is the same.

The y-intercept for both functions is the same.

The slope of function K is greater than the slope of function J.

The y-intercept of function K is less than the y-intercept of function J.

Line L passes through the points (-3, 2) and (5, -1). Line M has the equation $$y=\frac{2}{3}x-4$$ . Which statement is true?

Line L has a negative slope and line M has a positive slope.

Line L has a positive slope and line M has a negative slope.

Both lines have negative slopes.

Both lines have positive slopes.

Deshaun is a plumber who charges $40 per hour for his work. Another plumber, Silvio, charges based on the equation $$d=60+20h$$ where h is the number of hours worked and d is the number of dollars charged. Which statement is true?

Deshaun is less expensive than Silvio if the job takes less than 3 hours.

Deshaun is less expensive than Silvio no matter how long the job takes.

Deshaun is more expensive than Silivo if the job takes less than 3 hours.

Deshaun is more expensive than Silvio no matter how long the job takes.

Julio’s car can travel 300 miles on one 12-gallon tank of gas. Viet’s car uses gas as described by the equation $$m=13g$$ , where m is the miles traveled and g is the gallons of gas used. Which statement is true?

Julio’s car can travel more miles per gallon of gas than Viet’s car can.

Viet’s car uses 13 gallons of gas for every mile it travels.

Julio’s car can travel more miles than Viet’s car in the same amount of time.

Julio’s car can travel 12 miles using 1 gallon of gas.

Ellen and Oscar are running a race. Ellen runs the first mile in 8 minutes, and then each additional mile in 11 minutes. Oscar’s speed is represented in the function $$t=10m$$ , where t is the number of minutes it takes him to run m miles. Which statement is true?

If the race is 3 miles long, Ellen and Oscar finish at the same time.

If the race is 4 miles long, Ellen finishes ahead of Oscar.

If the race is 2 miles long, Oscar finishes ahead of Ellen.

If the race is 1 mile long, Oscar finishes ahead of Ellen.

A builder is comparing the slopes of two different walkways. Walkway A rises 1 foot for every 12 feet. The graph shows the design for walkway B. Which statement is correct?

The slope of walkway A is greater than the slope of walkway B because $$\frac{1}{12}>\frac{1}{20}$$

The slope of walkway A is greater than the slope of walkway B because $$\frac{1}{12}

The slope of walkway B is greater than the slope of walkway A because $$\frac{1}{12}

The slope of walkway B is greater than the slope of walkway A because $$\frac{1}{12}>\frac{1}{20}$$

Function A is represented by the graph. Function B is represented by the equation $$-3x+4y=8$$ . Which statement is true?

The graph has a greater rate of change than the equation.

The equation and the graph have the same rate of change.

The equation has a greater rate of change than the graph.

The rates of change cannot be compared using the given information.

Function A is represented by the equation $$y=-x+2$$ . Function B is a linear function whose graph passes through the points (2, 5) and (4, 8). Which statement accurately compares the y-intercepts of the two functions?

Both functions have a y-intercept of (0, 2).

Function A has a y-intercept of (0, 2) and Function B has a y-intercept of (0, 4)

Function A has a y-intercept of (0, -1) and Function B has a y-intercept of (0, 3/2)

Both functions have a y-intercept of (2, 0).

Function A is represented by the equation $$5x-3y+2=0$$ . Function B is represented by the x- and y-values in the table shown. Which of the following describes the relationship between the slopes of functions A and B?

The slope of Function A is greater than the slope of Function B.

The slope of Function A is equal to the slope of Function B.

The slope of Function A is less than the slope of Function B.

The slopes of both functions cannot be determined.

Line l passes through the points (-1, 0) and (0, -2). The table shows the coordinates for some points on line m . Which statement is correct?

The two lines have the same slope and different y-intercepts.

The two lines have negative reciprocal slopes and different y-intercepts.

The two lines have negative reciprocal slopes and the same y-intercept.

The two lines have the same slope and the same y-intercept.

Water depth gauges are placed in two ponds. The first pond has a depth represented by the function $$d=-0.50t+84$$ , where t is the time in days and d is the depth in inches at time t. The second pond has a depth of 90 inches which changes daily at a daily rate of –0.25 inches. What conclusion can be made about the depth of water in each pond?

There is always more water depth in the second pond.

There is always more water depth in the first pond.

There is initially more water depth in the second pond, but the first pond eventually has more water depth.

There is initially more water depth in the first pond, but the second pond eventually has more water depth.

Susan and Jim both babysit. Susan earns $15 for 2 hours of babysitting and $30 for 4 hours of babysitting. Jim charges a set fee of $10 plus an amount per hour. His fee in dollars, F, for h hours of babysitting is given by the equation $$f=7h+10$$ . Which statement is true?

Susan charges $7.50/hour, which is higher than Jim’s hourly rate.

Jim charges $10.00/hour, which is higher than Susan’s hourly rate.

Jim charges $7.00/hour, which is higher than Susan’s hourly rate.

Susan charges $7.00/hour, which is equal to Jim’s hourly rate.

Mona was comparing two linear functions. Function 1 has a slope of –2. The graph shows function 2. Which statement is correct?

The rate of change of function 1 is less than the rate of change of function 2 because $$-2

The rate of change of function 1 is greater than the rate of change of function 2 because $$-2>-\frac{3}{2}$$

The rate of change of function 1 is less than the rate of change of function 2 because $$-2>-\frac{3}{2}$$

The rate of change of function 1 is greater than the rate of change of function 2 because $$-2

Eli compares two functions. The first function is represented algebraically as y = 4x + 5. The second function is shown as a graph. What conclusion can Eli make about the two functions?

The lines defined by the functions are perpendicular.

The lines defined by the functions are parallel.

One of the lines defined by the functions has a rate of change that is 4 times greater than the other.

Both of the lines defined by the functions have the same rate of change.

Ricki graphed the linear equation $$3x-4y=12$$ . Steve graphed the line that passes through the origin and point (3, 4) . Which statement is true of the two lines?

The rate of change of Ricki’s line is less than the rate of change of Steve’s line.

Ricki’s line crosses the yaxis above the point where Steve’s line crosses the y-axis.

The rate of change of Ricki’s line is greater than the rate of change of Steve’s line.

Ricki’s line crosses the xaxis left of the point where Steve’s line crosses the x-axis.

The company Larry works for charges $10 for each service call, plus an additional $5 for each hour spent on the call. Larry created the graph to model this relationship. Which statement about the graph and charges is true?

The graph that Larry created is a correct representation of his company's charges.

The rate of change on Larry’s graph is greater than the rate his company charges.

The rate of change on Larry’s graph is correct, but the y-intercept is incorrect.

The rate of change on Larry’s graph is less than the rate his company charges.

Line r has an undefined slope and passes through the point (-3, -2). A table of points found on line s is shown. Which statement about line r and line s is true?

The lines intersect at one point and are perpendicular.

The lines coincide with each other.

The lines intersect at one point but are not perpendicular.

Function 1 and function 2 are both linear functions. The equation for function 1 is $$y=-\frac{4}{3}x+2$$ . The points (0, -8), (4, -5), and (8, -2) lie on function 2. Which statement is correct?

The slopes of the lines for the functions are negative reciprocals and the lines are perpendicular.

The slopes of the lines for the functions are equal and the lines are parallel.

The slope of the line for function 1 is greater than the slope of the line for function 2.

The slopes of the lines for the functions are equal and the lines are perpendicular.

Quick Clean charges a $30 cleaning supply fee for every visit and $20 per hour. Three Friends Cleaners provided the table to show its cost. Which statements comparing the costs of the two cleaners are true? Choose all that are correct.

If it takes 5 hours for Leticia's office space to be cleaned, Three Friends Cleaners is less expensive than Quick Clean.

Three Friends Cleaners charges $5 more per hour than Quick Clean.

If the cleaning costs for each company were graphed, the graphs would intersect when x equals 6 hours.

If the cleaning costs for each company were graphed, the y-intercepts would be the same.

If it takes 10 hours for Leticia's office space to be cleaned, Three Friends Cleaners is less expensive than Quick Clean.

Which function has a greater slope? Which function has a greater y-intercept?

Function 1 has the greater slope.

Function 2 has the greater y-intercept.

Function 2 has the greater slope.

Function 1 has the greater y-intercept.

Two weather balloons were released into the air at the same time. The height of Balloon 1 increased as shown in the table. The height of Balloon 2 increased according to the equation $$y=2x+15$$ , where x = time in seconds and y = height in feet. Which balloon started at a greater height? Which balloon’s height increased at a greater rate?

Balloon 2 started at a greater height.

Balloon 1's height increased at a greater rate.

Balloon 1 started at a greater height.

Balloon 2's height increased at a greater rate.

8.F2

Authored by Norman Mitchell

Mathematics

8th Grade

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which equation has a slope that is 1/2 unit greater than the slope of the graphed function?

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which equation is the slope twice as large as the slope of the function in the table?

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which equation has the same y-intercept as the function in the table?

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The two functions have the same slope.

The two functions have the same y-intercepts.

Function G has a greater slope than function H.

Function H has a greater slope than function G.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which equation has the same slope as this linear function?

Tags

CCSS.8.EE.B.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which table represents a linear function with the same slope as the graph?

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Angelo gets paid by the hour. The table shows the number of hours he worked each day for a week and his earnings for each day.
Janna gets paid $1.50 less per hour than Angelo. Which equation represents Janna’s earnings, y, for x hours of work?

Tags

CCSS.6.EE.C.9

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8.F2

Which equation has a slope that is 1/2 unit greater than the slope of the graphed function?

In which equation is the slope twice as large as the slope of the function in the table?

Which equation has the same y-intercept as the function in the table?

Which equation has the same slope as this linear function?

Which table represents a linear function with the same slope as the graph?

Angelo gets paid by the hour. The table shows the number of hours he worked each day for a week and his earnings for each day.Janna gets paid $1.50 less per hour than Angelo. Which equation represents Janna’s earnings, y, for x hours of work?

The equation y = 5x – 10 represents function J. This table represents function K. Which statement is true?

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Discover more resources for Mathematics

Angelo gets paid by the hour. The table shows the number of hours he worked each day for a week and his earnings for each day.
Janna gets paid $1.50 less per hour than Angelo. Which equation represents Janna’s earnings, y, for x hours of work?