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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.
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