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.

1. Test

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

What is the value of y when y=2x+1y=2x+1 and x=3x=3?

Please select an answer first.

Correct answer: A

The correct answer is 77.

  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 x=3x=3: y=2(3)+1=7y=2(3)+1=7.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

Substitute x=3x=3: y=2(3)+1=7y=2(3)+1=7.

2. QuestionMultiple choice

What is the value of y when y=−x+4y=-x+4 and x=2x=2?

Please select an answer first.

Correct answer: B

The correct answer is 22.

  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 x=2x=2: y=−2+4=2y=-2+4=2.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

Substitute x=2x=2: y=−2+4=2y=-2+4=2.

3. QuestionMultiple choice

Which point lies on the x-axis?

Please select an answer first.

Correct answer: C

The correct answer is (3,0)(3,0).

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: Every point on the x-axis has a y-coordinate of 0, so (3,0)(3,0) lies on it.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

Every point on the x-axis has a y-coordinate of 0, so (3,0)(3,0) lies on it.

4. QuestionMultiple choice

What is the y-intercept of y=3x−5y=3x-5?

Please select an answer first.

Correct answer: D

The correct answer is −5-5.

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: In y=mx+by=mx+b, the y-intercept is bb. Here b=−5b=-5.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

In y=mx+by=mx+b, the y-intercept is bb. Here b=−5b=-5.

5. QuestionMultiple choice

Which equation has slope frac12\\frac{1}{2} and y-intercept −2-2?

Please select an answer first.

Correct answer: A

The correct answer is y=frac12x−2y=\\frac{1}{2}x-2.

  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 slope-intercept form y=mx+by=mx+b with m=frac12m=\\frac{1}{2} and b=−2b=-2.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

Use slope-intercept form y=mx+by=mx+b with m=frac12m=\\frac{1}{2} and b=−2b=-2.

6. QuestionMultiple choice

Which point lies on the line y=−2x+6y=-2x+6?

Please select an answer first.

Correct answer: B

The correct answer is (2,2)(2,2).

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: For x=2x=2, y=−2(2)+6=2y=-2(2)+6=2, so (2,2)(2,2) is on the line.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

For x=2x=2, y=−2(2)+6=2y=-2(2)+6=2, so (2,2)(2,2) is on the line.

7. QuestionMultiple choice

A table has x-values 0,1,20,1,2 and y-values 5,8,115,8,11. Which equation represents the table?

Please select an answer first.

Correct answer: C

The correct answer is y=3x+5y=3x+5.

  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-values increase by 3 and the value at x=0x=0 is 5, so y=3x+5y=3x+5.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

The y-values increase by 3 and the value at x=0x=0 is 5, so y=3x+5y=3x+5.

8. QuestionMultiple choice

Which description matches the graph of y=−x+2y=-x+2?

Please select an answer first.

Correct answer: D

The correct answer is It crosses the y-axis at 2 and falls 1 unit for each 1 unit to the right..

  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 equation has y-intercept 2 and slope -1, so the graph starts at 2 on the y-axis and decreases as x increases.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

The equation has y-intercept 2 and slope -1, so the graph starts at 2 on the y-axis and decreases as x increases.

9. QuestionMultiple choice

What is the x-intercept of y=2x−8y=2x-8?

Please select an answer first.

Correct answer: A

The correct answer is (4,0)(4,0).

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: Set y=0y=0: 0=2x−80=2x-8, so x=4x=4 and the intercept is (4,0)(4,0).
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

Set y=0y=0: 0=2x−80=2x-8, so x=4x=4 and the intercept is (4,0)(4,0).

10. QuestionMultiple choice

What is the y-intercept point of y=4x+7y=4x+7?

Please select an answer first.

Correct answer: B

The correct answer is (0,7)(0,7).

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: Set x=0x=0. Then y=7y=7, so the y-intercept is (0,7)(0,7).
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

Set x=0x=0. Then y=7y=7, so the y-intercept is (0,7)(0,7).

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