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Algebra Word Problems Worksheet

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Algebra Word Problems Worksheet worksheet preview
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Algebra Word Problems Worksheet

Choose the best answer or select every answer that applies, complete each expression or equation, and show your working for the word problems.

Choose an answer

1.Aisha has s postcards. She is given 7 more. Which expression represents her new total?
  • s − 7
  • s + 7
  • 7s
  • 7 − s
2.A theatre sells tickets for £4 each. If t tickets bring in £36, which equation can be used to find t?
  • t + 4 = 36
  • 4t = 36
  • 36t = 4
  • t − 4 = 36
3.A rectangle is 3 cm wide and has a perimeter of 18 cm. What is its length?
  • 3 cm
  • 6 cm
  • 9 cm
  • 12 cm
4.Select every algebraic expression.
  • 5k + 2
  • 14
  • q − 9
  • 6 + 8

Expressions and equations

5.A notebook costs £p. Write an expression for the cost of 5 notebooks.
6.Alfie has m beads and gives 6 away. Write an expression for the number of beads she has left.
7.Write an expression for: multiply r by 3, then add 8.
8.Solve 3x = 24.
9.Solve y + 7 = 19.
10.Solve 4n − 3 = 17.

Solve the word problems

11.Leah is a years old. Her cousin is 5 years older. Write an expression for the cousin’s age. If their ages add up to 25 years, work out both ages.
12.A bowling group pays £9 for each player plus a one-off booking fee of £36. The total bill is £144. Write an equation and use it to find how many players are in the group.
13.A farm has g geese and 6 goats. Altogether, the animals have 44 legs. A goose has 2 legs and a goat has 4 legs. Write an equation and calculate how many geese there are.

2 printable pages

  • Algebra Word Problems Worksheet, page 1 of 2: Choose an answer, Expressions and equations

    Page 1

  • Algebra Word Problems Worksheet, page 2 of 2: Solve the word problems

    Page 2

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