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Solve equations of the form p(x + q) = r

7th grade (Year 8 in England) · 16 questions · Common Core: 7.EE.B.4.A · England: KS3 Algebra, GCSE Foundation Algebra

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Date

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  1. Question 1

    Leo buys 5 cinema tickets. Each ticket costs p plus a $9 booking fee. The total is $105. Solve 5(p + 9) = 105 to find p.

    p =

  2. Question 2

    Solve: −5(x − 5) = 60

    x =

  3. Question 3

    Solve: 2(x + 2) = 10

    x =

  4. Question 4

    Noah buys 7 cinema tickets. Each ticket costs p plus a $8 booking fee. The total is $126. Solve 7(p + 8) = 126 to find p.

    p =

  5. Question 5

    Solve: −4(x − 7) = 0

    x =

  6. Question 6

    Solve: 5(x + 6) = 65

    x =

  7. Question 7

    Lucia buys 5 cinema tickets. Each ticket costs p plus a $7 booking fee. The total is $60. Solve 5(p + 7) = 60 to find p.

    p =

  8. Question 8

    Solve: −5(x − 9) = 60

    x =

  9. Question 9

    Solve: 7(x + 9) = 56

    x =

  10. Question 10

    Felix buys 5 cinema tickets. Each ticket costs p plus a $2 booking fee. The total is $25. Solve 5(p + 2) = 25 to find p.

    p =

  11. Question 11

    Solve: −2(x − 9) = 22

    x =

  12. Question 12

    Solve: 8(x − 5) = −88

    x =

  13. Question 13

    Nia buys 6 cinema tickets. Each ticket costs p plus a $4 booking fee. The total is $108. Solve 6(p + 4) = 108 to find p.

    p =

  14. Question 14

    Solve: −3(x − 4) = 24

    x =

  15. Question 15

    Solve: 8(x − 1) = 56

    x =

  16. Question 16

    Diego buys 6 cinema tickets. Each ticket costs p plus a $2 booking fee. The total is $72. Solve 6(p + 2) = 72 to find p.

    p =

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Answer key: Solve equations of the form p(x + q) = r

  1. 1. p = 12

  2. 2. x = -7

  3. 3. x = 3

  4. 4. p = 10

  5. 5. x = 7

  6. 6. x = 7

  7. 7. p = 5

  8. 8. x = -3

  9. 9. x = -1

  10. 10. p = 3

  11. 11. x = -2

  12. 12. x = -6

  13. 13. p = 14

  14. 14. x = -4

  15. 15. x = 8

  16. 16. p = 10