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Systems of equations

9th grade (Year 10 in England) · 16 questions · Common Core: HSA.CED.A.3, HSA.REI.C.6 · England: GCSE Foundation Algebra, GCSE Higher Algebra

Name

Date

Score/ 16

  1. Question 1

    Adult tickets cost 10 and child tickets cost 4. A school sold 61 tickets and took 466 in total. How many adult tickets were sold?

    Answer

  2. Question 2

    Kofi buys 3 apples and 2 pears for 97 cents. Another day, 1 apple and 4 pears cost 89 cents. How much does one pear cost, in cents?

    Answer

  3. Question 3

    Adult tickets cost 14 and child tickets cost 10. A school sold 37 tickets and took 450 in total. How many adult tickets were sold?

    Answer

  4. Question 4

    Aisha buys 3 apples and 2 pears for 47 cents. Another day, 1 apple and 4 pears cost 39 cents. How much does one pear cost, in cents?

    Answer

  5. Question 5

    Adult tickets cost 14 and child tickets cost 3. A school sold 46 tickets and took 336 in total. How many adult tickets were sold?

    Answer

  6. Question 6

    Jamal buys 3 apples and 2 pears for 100 cents. Another day, 1 apple and 4 pears cost 70 cents. How much does one pear cost, in cents?

    Answer

  7. Question 7

    Adult tickets cost 8 and child tickets cost 5. A school sold 42 tickets and took 264 in total. How many adult tickets were sold?

    Answer

  8. Question 8

    Arjun buys 3 apples and 2 pears for 50 cents. Another day, 1 apple and 4 pears cost 50 cents. How much does one pear cost, in cents?

    Answer

  9. Question 9

    Adult tickets cost 13 and child tickets cost 6. A school sold 21 tickets and took 168 in total. How many adult tickets were sold?

    Answer

  10. Question 10

    Nia buys 3 apples and 2 pears for 77 cents. Another day, 1 apple and 4 pears cost 59 cents. How much does one pear cost, in cents?

    Answer

  11. Question 11

    Adult tickets cost 13 and child tickets cost 3. A school sold 61 tickets and took 553 in total. How many adult tickets were sold?

    Answer

  12. Question 12

    Ben buys 3 apples and 2 pears for 83 cents. Another day, 1 apple and 4 pears cost 81 cents. How much does one pear cost, in cents?

    Answer

  13. Question 13

    Adult tickets cost 6 and child tickets cost 2. A school sold 29 tickets and took 78 in total. How many adult tickets were sold?

    Answer

  14. Question 14

    Hana buys 3 apples and 2 pears for 53 cents. Another day, 1 apple and 4 pears cost 81 cents. How much does one pear cost, in cents?

    Answer

  15. Question 15

    Adult tickets cost 7 and child tickets cost 5. A school sold 22 tickets and took 130 in total. How many adult tickets were sold?

    Answer

  16. Question 16

    Leo buys 3 apples and 2 pears for 110 cents. Another day, 1 apple and 4 pears cost 90 cents. How much does one pear cost, in cents?

    Answer

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Answer key: Systems of equations

  1. 1. 37

  2. 2. 17

  3. 3. 20

  4. 4. 7

  5. 5. 18

  6. 6. 11

  7. 7. 18

  8. 8. 10

  9. 9. 6

  10. 10. 10

  11. 11. 37

  12. 12. 16

  13. 13. 5

  14. 14. 19

  15. 15. 10

  16. 16. 16