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Graphing Linear Functions Practice Tests

These Grade 8 Math practice tests cover graphing linear functions from equations, tables, points, slope, intercepts, and real-world situations.

Skills covered

  • Graphing lines from tables, points, equations, slope, and intercepts
  • Identifying x-intercepts, y-intercepts, horizontal lines, vertical lines, and the x-axis
  • Using \(y=mx+b\) to connect slope and y-intercept with a graph
  • Interpreting increasing, decreasing, parallel, and translated linear graphs
  • Modeling cost, distance, savings, population, balances, and other real-world relationships

How to use these practice tests

Start with the slope and y-intercept, plot the intercept, and use the rate of change to find additional points. For tables and contexts, verify that the same linear rule works for every given value.

For more Grade 8 Math practice, return to the Grade 8 Math category.

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Grade 8 Graphing Linear Functions Practice Tests

Practice Grade 8 Math questions about graphing linear functions, tables, points, intercepts, slope-intercept form, transformations, and real-world models.

Choose the best answer for each question. Use the equation, table, point, intercept, and graph information together to check your answer.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

A taxi charges $3 plus $2 per mile. Which equation gives the total cost C for m miles?

Please select an answer first.

Correct answer: A

The correct answer is C=2m+3C=2m+3.

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: The rate is 2 dollars per mile and the starting fee is 3 dollars, so C=2m+3C=2m+3.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

The rate is 2 dollars per mile and the starting fee is 3 dollars, so C=2m+3C=2m+3.

2. QuestionMultiple choice

A balance starts at $50 and decreases by $5 each day. Which equation models the balance B after d days?

Please select an answer first.

Correct answer: B

The correct answer is B=−5d+50B=-5d+50.

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: The negative rate is -5 dollars per day and the initial balance is 50, giving B=−5d+50B=-5d+50.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

The negative rate is -5 dollars per day and the initial balance is 50, giving B=−5d+50B=-5d+50.

3. QuestionMultiple choice

A car travels at 60 miles per hour. How far does it travel in 4 hours?

Please select an answer first.

Correct answer: C

The correct answer is 240240 miles.

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: Use distance = rate × time: 60(4)=24060(4)=240 miles.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

Use distance = rate × time: 60(4)=24060(4)=240 miles.

4. QuestionMultiple choice

In a graph of cost versus number of items, what does the y-intercept usually represent?

Please select an answer first.

Correct answer: D

The correct answer is The starting cost when zero items are purchased.

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: The y-intercept is the output when the input is 0, so it is the starting cost in this context.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

The y-intercept is the output when the input is 0, so it is the starting cost in this context.

5. QuestionMultiple choice

Savings follow S=15w+20S=15w+20. How much is saved after 6 weeks?

Please select an answer first.

Correct answer: A

The correct answer is $110.

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: Substitute w=6w=6: S=15(6)+20=110S=15(6)+20=110.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

Substitute w=6w=6: S=15(6)+20=110S=15(6)+20=110.

6. QuestionMultiple choice

A water tank follows W=100−8mW=100-8m, where m is minutes. How much water remains after 5 minutes?

Please select an answer first.

Correct answer: B

The correct answer is 6060 liters.

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: Substitute m=5m=5: W=100−8(5)=60W=100-8(5)=60.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

Substitute m=5m=5: W=100−8(5)=60W=100-8(5)=60.

7. QuestionMultiple choice

A town population is modeled by P=1200+30tP=1200+30t. What does 30 represent?

Please select an answer first.

Correct answer: C

The correct answer is The population increases by 30 people per year..

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: The coefficient of time t is the rate of change, so the population grows by 30 people per year.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

The coefficient of time t is the rate of change, so the population grows by 30 people per year.

8. QuestionMultiple choice

A line passes through (0,40)(0,40) and (4,100)(4,100). Which equation models it?

Please select an answer first.

Correct answer: D

The correct answer is y=15x+40y=15x+40.

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: The slope is frac100−404−0=15\\frac{100-40}{4-0}=15 and the y-intercept is 40, so y=15x+40y=15x+40.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

The slope is frac100−404−0=15\\frac{100-40}{4-0}=15 and the y-intercept is 40, so y=15x+40y=15x+40.

9. QuestionMultiple choice

Plan A costs $10 plus $0.04 per unit. Which equation models its cost C for u units?

Please select an answer first.

Correct answer: A

The correct answer is C=0.04u+10C=0.04u+10.

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: The usage rate is 0.04 dollars per unit and the starting fee is 10 dollars.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

The usage rate is 0.04 dollars per unit and the starting fee is 10 dollars.

10. QuestionMultiple choice

On a graph of time versus distance, what does the point (3,25)(3,25) mean?

Please select an answer first.

Correct answer: B

The correct answer is After 3 units of time, the distance is 25 units..

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: The first coordinate is the input time and the second coordinate is the output distance.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

The first coordinate is the input time and the second coordinate is the output distance.

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