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Math 9 · Unit 4: Equations and inequalities · Cambridge Lower Secondary Maths Stage 9

4.1 Constructing and solving equations

51 questions · e.g. Solve 3(y + 5) = 2(20 − y)

Practice

Questions

  1. 1. Copy and complete the workings to solve these equations. 2x − 6 = 10

    2x − 6 = 102x = 10 + 62x =x =2x =

    Fill the blanks with these.

    Check
  2. 2. Copy and complete the workings to solve these equations. 4(3x + 2) = 32

    4(3x + 2) = 3212x += 3212x = 32 −12x =x =12x =

    Fill the blanks with these.

    Check
  3. 3. Copy and complete the workings to solve these equations. y/2 − 3 = 1

    y2− 3 = 1y2= 1 +y2=y =× 2y =

    Fill the blanks with these.

    Check
  4. 4. Copy and complete the workings to solve these equations. 5y + 3 = 9 + 2y

    5y + 3 = 9 + 2y5y − 2y = 9 −y =y =y =

    Fill the blanks with these.

    Check
  5. 5. Copy and complete the workings to solve these equations. 5 − 2x = 9

    5 − 2x = 9−2x = 9 −−2x =x =−2x =

    Fill the blanks with these.

    Check
  6. 6. Copy and complete the workings to solve these equations. 6(3 − x) = 3x

    6(3 − x) = 3x− 6x = 3x= 3x + 6x= 9x9= xx =

    Fill the blanks with these.

    Check
  7. 7. Copy and complete the workings to solve these equations. 3y/4 + 1 = 7

    3y4+ 1 = 73y4= 7 −3y4=3y =× 43y =y =3y =

    Fill the blanks with these.

    Check
  8. 8. Copy and complete the workings to solve these equations. 3(y + 5) = 2(20 − y)

    3(y + 5) = 2(20 − y)3y += 40 −y3y +y = 40 −y =y =y =

    Fill the blanks with these.

    Check
  9. 9. Copy and complete the workings to solve these equations. 30/x = 5

    30x= 530 = 5x30= xx =

    Fill the blanks with these.

    Check
  10. 10. Copy and complete the workings to solve these equations. 63/(y + 1) = 9

    63y + 1= 963 = 9(y + 1)63= y + 1= y + 1− 1 = yy =

    Fill the blanks with these.

    Check
  11. 11. Solve 3g − 5 = 31.

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  12. 12. Solve −3g − 5 = 25.

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  13. 13. Solve 7 + 4p = 28 + p.

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  14. 14. Solve −5 + 3g = 16.

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  15. 15. Solve 15 = 40 − 5y.

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  16. 16. Solve 6(y − 7) = 30.

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  17. 17. Solve 0 = 17(15 + 5x).

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  18. 18. Solve 5(x + 5) + 3(x − 2) = 3.

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  19. 19. Here is an equation: 5(x + 3) = 10x − 20. Solve the equation by first multiplying out the brackets.

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  20. 20. Here is an equation: 5(x + 3) = 10x − 20. Solve the equation by first dividing by 5.

    Check