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Graphing Linear Functions - Worksheet 4 - 8th Grade

Medium

Connect functions with inputs, outputs, equations, slopes and coordinate graphs.

medium: Practice the same exercise types with a fresh numbered set.

18 problems · 20-25 minutes · Skills: functions, graphing, coordinate plane

About This Worksheet

This medium-level worksheet contains 18 problems designed for 8th Grade students practicing graphing linear functions. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.

Read ordered pairs and solve linear equations using signed arithmetic.

  • Connect functions with inputs, outputs, equations, slopes and coordinate graphs.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: Graph y = 1x + 1 on the grid. Use x = −1, 0 and 1 to find three points.
Solution Steps:
  1. Substitute each x-value to calculate y.
  2. Plot the three ordered pairs and extend the line.
Answer: Points: (−1, 0), (0, 1), (1, 2); draw a straight line through them.
Tip: Check your result using the method in the example before moving to the next question.
1
Graph y = 1x + 1 on the grid. Use x = −1, 0 and 1 to find three points.
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Diagram not to scale.
2
Graph y = 2x - 2 on the grid. Use x = −1, 0 and 1 to find three points.
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Diagram not to scale.
3
Graph y = 1x - 1 on the grid. Use x = −1, 0 and 1 to find three points.
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Diagram not to scale.
4
Graph y = 2x + 1 on the grid. Use x = −1, 0 and 1 to find three points.
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Diagram not to scale.
5
Graph y = 1x - 2 on the grid. Use x = −1, 0 and 1 to find three points.
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Diagram not to scale.
6
Graph y = 2x + 0 on the grid. Use x = −1, 0 and 1 to find three points.
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Diagram not to scale.
7
Graph y = 1x + 0 on the grid. Use x = −1, 0 and 1 to find three points.
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Diagram not to scale.
8
Graph y = 1x + 2 on the grid. Use x = −1, 0 and 1 to find three points.
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Diagram not to scale.
9
Graph y = 2x - 1 on the grid. Use x = −1, 0 and 1 to find three points.
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Diagram not to scale.
10
Graph y = 2x + 2 on the grid. Use x = −1, 0 and 1 to find three points.
xy0−55
Diagram not to scale.
11
Graph y = 2x + 0 on the grid. Use x = −1, 0 and 1 to find three points.
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Diagram not to scale.
12
Graph y = 2x + 1 on the grid. Use x = −1, 0 and 1 to find three points.
xy0−55
Diagram not to scale.
13
Graph y = 2x + 2 on the grid. Use x = −1, 0 and 1 to find three points.
xy0−55
Diagram not to scale.
14
Graph y = 1x + 1 on the grid. Use x = −1, 0 and 1 to find three points.
xy0−55
Diagram not to scale.
15
Graph y = 2x - 2 on the grid. Use x = −1, 0 and 1 to find three points.
xy0−55
Diagram not to scale.
16
Graph y = 2x - 1 on the grid. Use x = −1, 0 and 1 to find three points.
xy0−55
Diagram not to scale.
17
Graph y = 2x + 0 on the grid. Use x = −1, 0 and 1 to find three points.
xy0−55
Diagram not to scale.
18
Graph y = 1x - 1 on the grid. Use x = −1, 0 and 1 to find three points.
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Diagram not to scale.

Answer Key

1. Points: (−1, 0), (0, 1), (1, 2); draw a straight line through them.2. Points: (−1, -4), (0, -2), (1, 0); draw a straight line through them.3. Points: (−1, -2), (0, -1), (1, 0); draw a straight line through them.4. Points: (−1, -1), (0, 1), (1, 3); draw a straight line through them.5. Points: (−1, -3), (0, -2), (1, -1); draw a straight line through them.6. Points: (−1, -2), (0, 0), (1, 2); draw a straight line through them.7. Points: (−1, -1), (0, 0), (1, 1); draw a straight line through them.8. Points: (−1, 1), (0, 2), (1, 3); draw a straight line through them.9. Points: (−1, -3), (0, -1), (1, 1); draw a straight line through them.10. Points: (−1, 0), (0, 2), (1, 4); draw a straight line through them.11. Points: (−1, -2), (0, 0), (1, 2); draw a straight line through them.12. Points: (−1, -1), (0, 1), (1, 3); draw a straight line through them.13. Points: (−1, 0), (0, 2), (1, 4); draw a straight line through them.14. Points: (−1, 0), (0, 1), (1, 2); draw a straight line through them.15. Points: (−1, -4), (0, -2), (1, 0); draw a straight line through them.16. Points: (−1, -3), (0, -1), (1, 1); draw a straight line through them.17. Points: (−1, -2), (0, 0), (1, 2); draw a straight line through them.18. Points: (−1, -2), (0, -1), (1, 0); draw a straight line through them.

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What skills does this functions worksheet cover?

This worksheet focuses on functions, graphing, coordinate plane. It is designed for 8th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

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How many problems are on this worksheet?

This worksheet contains 18 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.