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Variables and Expressions Worksheet

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Variables and Expressions Worksheet

Show your working where needed. A letter in an expression stands for a number.

Understanding variables

1.Which symbol could represent an unknown number in an expression?
  • 9
  • m
  • −
  • 24
2.If r = 6, work out r + 9.
  • 15
  • 54
  • 9
  • 3
3.When t = 3, calculate each value: t + 7; 4t; and 18 − t.
4.Select every expression that has a value of 18 when q = 6.
  • q + 12
  • 3q
  • q × 4
  • 24 − q

Writing and interpreting expressions

5.Write an algebraic expression for a number w increased by 11.
6.Write an algebraic expression for 7 multiplied by a number d.
7.After giving away 9 balloons, Amir has b balloons left. Write an expression for the number of balloons he had at first.
8.A rectangle has length (x + 5) cm and width 4 cm. Write a simplified expression for its perimeter.
9.Match each phrase to the expression that represents it.
  • Five more than n
  • Three times p
  • Eight less than k
  • Half of z
  • The sum of a and 12
  • Four fewer than twice m
  • k − 8
  • 2m − 4
  • a + 12
  • n + 5
  • 3p
  • z ÷ 2

Expressions in situations

10.A notebook costs £4. Write an expression for the cost of n notebooks, then calculate the cost of 6 notebooks.
11.An adult entry ticket costs £9 and a child entry ticket costs £6. Write an expression for the total cost of a adult tickets and c child tickets.
12.Lena is 4 years older than twice her cousin's age. If her cousin is y years old, write an expression for Lena's age.
13.A taxi fare is £3 plus £2 for each mile travelled. Write an expression for a journey of m miles, then find the fare for 8 miles.

3 printable pages

  • Variables and Expressions Worksheet, page 1 of 3: Understanding variables, Writing and interpreting expressions

    Page 1

  • Variables and Expressions Worksheet, page 2 of 3: Expressions in situations

    Page 2

  • Variables and Expressions Worksheet, page 3 of 3: 13. A taxi fare is £3 plus £2 for each mile travelled. Write an expression for a journey…

    Page 3

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