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Drawing linear graphs practice questions with answers

Foundation and Higher · Grade 3 · Non-calculator

A second set of drawing linear graphs questions for GCSE Maths. They are different from the ones on the topic page, so work through both. Try each question, then open the answer to check your working.

More questions

Question 1 Easy

The line is y = 3x − 1. What is y when x = −1?

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Answer: -4

  1. Substitute x = −1 into y = 3x − 1.
  2. 3 × (−1) = −3, so y = −3 − 1.
  • Method (1): Substitute x = −1 into y = 3x − 1.
  • Accuracy (1): Answer -4

Question 2 Easy

The line is y = −x + 4. What is y when x = −1?

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Answer: 5

  1. Substitute x = −1 into y = −x + 4.
  2. (−1) × (−1) = 1, so y = 1 + 4.
  • Method (1): Substitute x = −1 into y = −x + 4.
  • Accuracy (1): Answer 5

Question 3 Medium

The line is y = 3x − 1. What is y when x = 0?

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Answer: -1

  1. Substitute x = 0 into y = 3x − 1.
  2. 3 × 0 = 0, so y = 0 − 1.
  • Method (1): Substitute x = 0 into y = 3x − 1.
  • Accuracy (1): Answer -1

Question 4 Medium

The line is y = −x + 4. What is y when x = 0?

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Answer: 4

  1. Substitute x = 0 into y = −x + 4.
  2. (−1) × 0 = 0, so y = 0 + 4.
  • Method (1): Substitute x = 0 into y = −x + 4.
  • Accuracy (1): Answer 4

Question 5 Hard

The line is y = 3x − 1. What is y when x = 1?

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Answer: 2

  1. Substitute x = 1 into y = 3x − 1.
  2. 3 × 1 = 3, so y = 3 − 1.
  • Method (1): Substitute x = 1 into y = 3x − 1.
  • Accuracy (1): Answer 2

Question 6 Hard

The line is y = −x + 4. What is y when x = 1?

Show answer

Answer: 3

  1. Substitute x = 1 into y = −x + 4.
  2. (−1) × 1 = −1, so y = −1 + 4.
  • Method (1): Substitute x = 1 into y = −x + 4.
  • Accuracy (1): Answer 3

Exam-style question

A longer question with marks, in the style of a written paper. This is a Yumio practice question, not a past paper question.

Exam-style question 12 marks

The line is y = 2x + 1. What is y when x = 2?

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Answer: 5

  1. Substitute x = 2 into y = 2x + 1.
  2. 2 × 2 = 4, so y = 4 + 1.
  3. y = 5.
  • Method (1): Substitute x = 2 into y = 2x + 1.
  • Accuracy (1): Answer 5

Quick checks

Short one-step questions. Pick an option before you open the answer.

Check 1

The line is y = 2x + 1. What is y when x = 3?

  1. 7
  2. 6
  3. 5
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7 The result is 7.

Check 2

The line is y = 3x − 1. What is y when x = 3?

  1. 8
  2. 9
  3. 10
Show answer

8 The result is 8.

Check 3

The line is y = −x + 4. What is y when x = 3?

  1. 1
  2. -3
  3. -7
Show answer

1 The result is 1.

Check 4

The line is y = 2x − 3. What is y when x = 3?

  1. 3
  2. 6
  3. 9
Show answer

3 The result is 3.

Check 5

The line is y = 2x + 1. What is y when x = 4?

  1. 9
  2. 8
  3. 7
Show answer

9 The result is 9.

Check 6

The line is y = 3x − 1. What is y when x = 4?

  1. 11
  2. 12
  3. 13
Show answer

11 The result is 11.

Check 7

The line is y = −x + 4. What is y when x = 4?

  1. 0
  2. -4
  3. -8
Show answer

0 The result is 0.

Check 8

The line is y = 2x − 3. What is y when x = 4?

  1. 5
  2. 8
  3. 11
Show answer

5 The result is 5.

Check 9

The line is y = 2x + 1. What is y when x = 5?

  1. 11
  2. 10
  3. 9
Show answer

11 The result is 11.

Check 10

The line is y = 3x − 1. What is y when x = 5?

  1. 14
  2. 15
  3. 16
Show answer

14 The result is 14.

Check 11

The line is y = −x + 4. What is y when x = 5?

  1. -1
  2. -5
  3. -9
Show answer

-1 The result is -1.

Check 12

The line is y = 2x − 3. What is y when x = 5?

  1. 7
  2. 10
  3. 13
Show answer

7 The result is 7.

Check 13

The line is y = 2x + 1. What is y when x = 6?

  1. 13
  2. 12
  3. 11
Show answer

13 The result is 13.

Check 14

The line is y = 3x − 1. What is y when x = 6?

  1. 17
  2. 18
  3. 19
Show answer

17 The result is 17.

Check 15

The line is y = −x + 4. What is y when x = 6?

  1. -2
  2. -6
  3. -10
Show answer

-2 The result is -2.

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