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Algebra — Two-Variable Word Problems

Name: ______________________Class: ________Date: ____________Score: ____ / 10
  1. 1.

    A pen costs $p and a ruler costs $r. 2 pens and 1 ruler cost $11. 1 pen costs $4. Find r.

    Answer: ____________________________________

  2. 2.

    Adult tickets cost $a and child tickets cost $c. 3 adults + 2 children = $26. 1 adult = $6. Find c.

    Answer: ____________________________________

  3. 3.

    A shirt costs $s and trousers cost $t. s + t = $75. t = 3s. Find s and t.

    Answer: ____________________________________

  4. 4.

    John has j stickers and Mary has m stickers. j + m = 60. j = m + 12. Find j.

    Answer: ____________________________________

  5. 5.

    Box A has a apples and Box B has b apples. a + b = 84. a = 2b − 6. Find b.

    Answer: ____________________________________

  6. 6.

    The sum of two numbers is 100. One number is 4 times the other. Find both numbers.

    Answer: ____________________________________

  7. 7.

    A bag of rice costs $r. A bag of flour costs $f. r − f = 5 and r + f = 17. Find r.

    Answer: ____________________________________

  8. 8.

    A class has b boys and g girls. b + g = 42. There are 6 more girls than boys. Find g.

    Answer: ____________________________________

  9. 9.

    3 books and 2 pens cost $20. Each book costs $4. What does each pen cost?

    Answer: ____________________________________

  10. 10.

    A farmer has chickens (c) and cows (k). Total animals = 30. Total legs = 86. Find c and k.

    Answer: ____________________________________

Answer key — P6 Math: Algebra — Two-Variable Word Problems

For parents. Step-by-step explanations for every question are free on brightbit.net.

  1. 1.3
  2. 2.4
  3. 3.s = 18.75, t = 56.25
  4. 4.36
  5. 5.30
  6. 6.20 and 80
  7. 7.11
  8. 8.24
  9. 9.4
  10. 10.c = 17, k = 13
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