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Chapter 5 Practice Paper: Linear Equations and Simple Inequalities — question paper

QuizQuipPractice Series
QQ/S1MATH/CH5

Secondary 1 · Lower Secondary Mathematics (G2 / G3)

Chapter 5 Practice Paper

Linear Equations and Simple Inequalities

Duration: 40 minutes
Total: 30 marks
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Class:
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Date:

READ THESE INSTRUCTIONS FIRST

  • Write your name, class and register number in the spaces at the top of this page.
  • Answer all questions.
  • Section A: write the letter (A, B, C or D) of the correct answer in the brackets provided.
  • Section B: write your answers in the spaces provided.
  • Show all working. Marks may be awarded for correct working even if the final answer is wrong.
  • Give units with your answers where appropriate.
  • The number of marks is given in brackets [ ] at the end of each question or part question.

Original practice material written for the MOE Lower Secondary Mathematics syllabus. It is not an official MOE or school examination paper. Chapter 5.

For Examiner’s Use
Section A/ 10
Section B/ 20
Total/ 30

Section A: Multiple-choice questions[10 marks]

Answer all questions. For each question, write the letter (A, B, C or D) of the correct answer in the brackets provided.

  1. 1

    Solve 4x = 28.

    1. Ax = 7
    2. Bx = 24
    3. Cx = 112
    4. Dx = 32
    ( )
  2. 2

    Solve x + 9 = 3.

    1. Ax = 12
    2. Bx = -6
    3. Cx = 6
    4. Dx = -12
    ( )
  3. 3

    Solve 3x - 4 = 11.

    1. Ax = 2
    2. Bx = 7
    3. Cx = 5
    4. Dx = 15
    ( )
  4. 4

    Solve x/5 = -2.

    1. Ax = -0.4
    2. Bx = 10
    3. Cx = 3
    4. Dx = -10
    ( )
  5. 5

    Solve 2(x + 3) = 14.

    1. Ax = 8.5
    2. Bx = 4
    3. Cx = 5
    4. Dx = 10
    ( )
  6. 6

    Solve (3x - 2)/4 = 4.

    1. Ax = 3
    2. Bx = 14/3
    3. Cx = 6
    4. Dx = 18
    ( )
  7. 7

    Solve 7 - 2x = 1.

    1. Ax = 3
    2. Bx = -3
    3. Cx = 4
    4. Dx = -4
    ( )
  8. 8

    Solve x - 6 > 1.

    1. Ax < 7
    2. Bx > -5
    3. Cx < -5
    4. Dx > 7
    ( )
  9. 9

    Solve -3x > 12.

    1. Ax > -4
    2. Bx < -4
    3. Cx > 4
    4. Dx < 4
    ( )
  10. 10

    5 more than twice a number is 17. The number is

    1. A7.5
    2. B11
    3. C24
    4. D6
    ( )

Section B: Structured questions[20 marks]

Answer all questions in the spaces provided. Show your working clearly.

  1. 1

    Solve each of the following equations.

    1. (a)

      x + 7 = -2

      x =[1]
    2. (b)

      5x - 3 = 22

      [2]
    3. (c)

      4 - 3x = 13

      [2]
  2. 2

    This question is about equations with fractions.

    1. (a)

      Solve (x + 5)/2 = 7.

      [2]
    2. (b)

      Solve the equation (2x - 1)/3 = 5, showing your steps.

      [2]
    3. (c)

      Check your answer to (b) by substitution, showing the calculation.

      [1]
  3. 3

    Jun has $y. Wei has $12 more than Jun. Together they have $58.

    1. (a)

      Write an equation in y for the total amount.

      [2]
    2. (b)

      Solve the equation to find how much Jun has.

      [2]
    3. (c)

      State how much Wei has.

      Wei has[1]
  4. 4

    This question is about inequalities.

    1. (a)

      Solve x + 4 < 9.

      answer =[1]
    2. (b)

      Solve 3x - 2 > 10.

      [2]
    3. (c)

      Solve -2x > 10, and explain the direction of your answer sign.

      [2]

— End of paper —