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Chapter 2 Practice Paper: Linear Inequalities — question paper

QuizQuipPractice Series
QQ/S2MATH/CH2

Secondary 2 · Lower Secondary Mathematics (G2 / G3)

Chapter 2 Practice Paper

Linear Inequalities

Duration: 40 minutes
Total: 30 marks
Name:
Class:
Register No.:
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 2.

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

    Which symbol means “is greater than or equal to”?

    1. A>
    2. B≥
    3. C<
    4. D≤
    ( )
  2. 2

    On a number line, the region right of −1 is shaded from an open circle. This represents

    1. Ax < −1
    2. Bx ≤ −1
    3. Cx > −1
    4. Dx ≥ −1
    ( )
  3. 3

    Solve x − 6 ≥ 4.

    1. Ax ≥ 10
    2. Bx > 10
    3. Cx ≥ −2
    4. Dx ≤ 10
    ( )
  4. 4

    Solve 5x < 45.

    1. Ax < 50
    2. Bx < 40
    3. Cx > 9
    4. Dx < 9
    ( )
  5. 5

    Solve −4x ≤ 12.

    1. Ax ≤ −3
    2. Bx ≥ −3
    3. Cx ≤ 3
    4. Dx ≥ 3
    ( )
  6. 6

    Solve 3 − x < 1.

    1. Ax < 2
    2. Bx < −2
    3. Cx > 2
    4. Dx > −2
    ( )
  7. 7

    What is the largest integer that satisfies x < 4.5?

    1. A4
    2. B5
    3. C4.5
    4. D3
    ( )
  8. 8

    How many integers satisfy −2 < x ≤ 3?

    1. A4
    2. B6
    3. C3
    4. D5
    ( )
  9. 9

    A van is hired for at most 6 hours. Which inequality fits the time t in hours?

    1. At ≥ 6
    2. Bt ≤ 6
    3. Ct < 6
    4. Dt > 6
    ( )
  10. 10

    Solve 2x + 5 ≤ 17.

    1. Ax ≤ 11
    2. Bx ≤ 12
    3. Cx ≤ 6
    4. Dx > 6
    ( )

Section B: Structured questions[20 marks]

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

  1. 1

    Consider the inequality 4x − 3 < 13.

    1. (a)

      Find all the values of x that satisfy 4x − 3 < 13.

      [2]
    2. (b)

      Describe how the solution is shown on a number line.

      [1]
    3. (c)

      Write the largest whole number that keeps 4x − 3 below 13.

      largest =[1]
    4. (d)

      Explain whether x = 4 satisfies the inequality.

      [1]
  2. 2

    Consider the inequality 8 − 3x ≥ 2.

    1. (a)

      Find the values of x satisfying 8 − 3x ≥ 2.

      [3]
    2. (b)

      State which step flipped the sign, and why a flip was needed there.

      [2]
  3. 3

    The values of a number x obey two rules at once: x is more than −3, and x is at most 4.

    1. (a)

      List all the integers that x can be.

      [2]
    2. (b)

      State the largest integer solution.

      largest =[1]
    3. (c)

      How many of the integer solutions are positive?

      [2]
  4. 4

    A school hall charges a $120 flat fee plus $6 for each chair set up. The organiser’s budget allows at most $300 in total.

    1. (a)

      Form an inequality in c, the number of chairs set up.

      [2]
    2. (b)

      Solve your inequality from part (a) for c.

      [2]
    3. (c)

      State the greatest number of chairs the organiser can pay for.

      chairs =[1]

— End of paper —