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Expand two brackets and simplify

7th grade (Year 8 in England) · 16 questions · Common Core: 7.EE.A.1 · England: KS3 Algebra, GCSE Foundation Algebra

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  1. Question 1

    A rectangle is 3 cm wide and (3x + 2) cm long. Write and simplify an expression for its perimeter in cm, using brackets first: 2(3 + 3x + 2).

    Answer

  2. Question 2

    Expand and simplify 4(x − 4) − 4(x + 4).

    Answer

  3. Question 3

    Expand and simplify 5(x + 7) + 5(x + 1).

    Answer

  4. Question 4

    A rectangle is 2 cm wide and (4x + 2) cm long. Write and simplify an expression for its perimeter in cm, using brackets first: 2(2 + 4x + 2).

    Answer

  5. Question 5

    Expand and simplify 3(x − 1) − 3(x + 6).

    Answer

  6. Question 6

    Expand and simplify 6(x + 8) + 3(x + 8).

    Answer

  7. Question 7

    A rectangle is 3 cm wide and (3x + 1) cm long. Write and simplify an expression for its perimeter in cm, using brackets first: 2(3 + 3x + 1).

    Answer

  8. Question 8

    Expand and simplify 5(x + 5) − 5(x − 6).

    Answer

  9. Question 9

    Expand and simplify 2(x + 2) + 2(x + 1).

    Answer

  10. Question 10

    A rectangle is 3 cm wide and (2x + 4) cm long. Write and simplify an expression for its perimeter in cm, using brackets first: 2(3 + 2x + 4).

    Answer

  11. Question 11

    Expand and simplify 3(x − 5) − 3(x − 1).

    Answer

  12. Question 12

    Expand and simplify 5(x + 4) + 3(x + 4).

    Answer

  13. Question 13

    A rectangle is 2 cm wide and (3x + 3) cm long. Write and simplify an expression for its perimeter in cm, using brackets first: 2(2 + 3x + 3).

    Answer

  14. Question 14

    Expand and simplify 5(x − 1) − 5(x + 5).

    Answer

  15. Question 15

    Expand and simplify 2(x + 4) + 5(x + 1).

    Answer

  16. Question 16

    A rectangle is 2 cm wide and (2x + 5) cm long. Write and simplify an expression for its perimeter in cm, using brackets first: 2(2 + 2x + 5).

    Answer

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Answer key: Expand two brackets and simplify

  1. 1. 6x+10

  2. 2. -32

  3. 3. 10x+40

  4. 4. 8x+8

  5. 5. -21

  6. 6. 9x+72

  7. 7. 6x+8

  8. 8. 55

  9. 9. 4x+6

  10. 10. 4x+14

  11. 11. -12

  12. 12. 8x+32

  13. 13. 6x+10

  14. 14. -30

  15. 15. 7x+13

  16. 16. 4x+14