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Linear Graphs

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The following math revision questions are provided in support of the math tutorial on Linear Graphs. In addition to this tutorial, we also provide revision notes, a video tutorial, revision questions on this page (which allow you to check your understanding of the topic) and calculators which provide full, step by step calculations for each of the formula in the Linear Graphs tutorials. The Linear Graphs calculators are particularly useful for ensuring your step-by-step calculations are correct as well as ensuring your final result is accurate.

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Linear Graphs Learning Material
Tutorial IDTitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
14.1Linear Graphs

Linear Graphs Revision Questions

1. . Which of the following lines gives a linear graph?

  1. -x + 3y2 + 3 = 0
  2. y2 - y - 1 = x
  3. 1 - x = y
  4. 0x + 0y = 0

Correct Answer: C

2. . Which of the following lines gives a vertical graph?

  1. 2x = x + y + x - 3
  2. 3x - 2y = 2 + x - 2y + 1
  3. 2x - 3y + 1 = -2x + 3y
  4. -3 + 2y = y + 3

Correct Answer: B

3. . Which of the following lines gives a horizontal graph?

  1. 2x - y + 2 = x - y
  2. x + 3y - 1 = 2y - 1
  3. 3x - 5y = x + 3y + 1 + 2x
  4. 0x + 0y = 0

Correct Answer: C

4. . What is the y-intercept of the linear graph 3 - 4x = 5y - 1?

  1. y = 4/5
  2. y = 5/4
  3. y = 2/5
  4. y = -5/2

Correct Answer: A

5. . What is the distance between the graphs 2x + 3y = x + 2y - 1 + y and 3x + 2 = 0?

  1. 4/3 units
  2. 1/3 units
  3. 1 unit
  4. 3 units

Correct Answer: B

6. . What is the distance between the graphs x - 2y = x + 3y + 4 and x + 1 = y - x?

  1. 1/5
  2. 4/5
  3. 1/4
  4. 8/5

Correct Answer: A

7. . What is the range of the linear graph 5x - 2y + 4 = 0 for all x-values between -2 and 3 including the endpoints?

  1. [3, 19]
  2. [-3, 19/2]
  3. [3, 19/2]
  4. [-3, 19/2]

Correct Answer: C

8. . What is the domain of the linear graph 2x - 4y + 1 = 0 if the corresponding range lies between 0 and 5?

  1. [-1/2, 19/2]
  2. [1/2, 19]
  3. [-1/2, 19]
  4. [-1, 19]

Correct Answer: A

9. . What are the domain D and the range R of the linear graph shown in the figure?

Math Tutorials: Linear Graphs Example
  1. D = [-3, 6] and R = [-4, 5]
  2. D = [-4, 5] and R = [-4, 6]
  3. D = [-3, 6] and R = [-4, 6]
  4. D = [-4, 5] and R = [-3, 6]

Correct Answer: D

10. . Which of the following is the graph of the line 2x - y - 1 = 0 restricted in the domain D = [-1, 2]?

Math Tutorials: Linear Graphs Example

Correct Answer: D

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  4. Check your calculations for Linear Graphs questions with our excellent Linear Graphs calculators which contain full equations and calculations clearly displayed line by line. See the Linear Graphs Calculators by iCalculator™ below.
  5. Continuing learning linear graphs - read our next math tutorial: Slopes and Gradients

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