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Linear equations and inequalities

Written by Hassan Raza (Mathematics)

10 Class 9 Mathematics questions with answers and explanations.

Printable worksheet with answer key

All questions with answers
  1. Solve 3x + 5 = 20.

    • 1 x = 15
    • 2 x = 5
    • 3 x = 25/3
    • 4 x = 8
    Show answer

    Correct answer: x = 5

    3x = 15, so x = 5.

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  2. Solve 2x - 7 = 9.

    • 1 x = 1
    • 2 x = 2
    • 3 x = 16
    • 4 x = 8
    Show answer

    Correct answer: x = 8

    2x = 16, so x = 8.

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  3. Solve x/4 = 7.

    • 1 x = 28
    • 2 x = 3
    • 3 x = 11
    • 4 x = 1.75
    Show answer

    Correct answer: x = 28

    Multiply both sides by 4: x = 28.

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  4. Solve the inequality 2x + 1 > 7.

    • 1 x < 3
    • 2 x > 4
    • 3 x > 3
    • 4 x > 6
    Show answer

    Correct answer: x > 3

    2x > 6, so x > 3.

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  5. When both sides of an inequality are multiplied by a negative number, the inequality sign:

    • 1 Disappears
    • 2 Becomes equal
    • 3 Stays the same
    • 4 Reverses
    Show answer

    Correct answer: Reverses

    Multiplying or dividing by a negative number reverses the inequality sign.

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  6. The sum of two consecutive numbers is 41. What is the smaller number?

    • 1 22
    • 2 21
    • 3 19
    • 4 20
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    Correct answer: 20

    x + (x + 1) = 41 gives x = 20.

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  7. Solve 5x = 35.

    • 1 x = 7
    • 2 x = 40
    • 3 x = 30
    • 4 x = 175
    Show answer

    Correct answer: x = 7

    Divide both sides by 5.

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  8. Solve x + 9 = 15.

    • 1 x = 9
    • 2 x = -6
    • 3 x = 24
    • 4 x = 6
    Show answer

    Correct answer: x = 6

    Subtract 9.

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  9. The solution of 2(x - 1) = 8 is:

    • 1 x = 5
    • 2 x = 4
    • 3 x = 9
    • 4 x = 3
    Show answer

    Correct answer: x = 5

    x - 1 = 4, so x = 5.

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  10. Solve the inequality x - 3 < 2.

    • 1 x < 5
    • 2 x < -1
    • 3 x > 5
    • 4 x > -1
    Show answer

    Correct answer: x < 5

    Add 3 to both sides.

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