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Substituting into Algebraic Expressions
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Substituting into Algebraic Expressions
Replace each variable with its given value, then use the order of operations to evaluate the expression. Show your working for questions that need more than one step.
Start with substitution
Work out each expression after replacing the variable with its given value.
1.If x = 5, what is the value of 3x + 2?
- 17
- 21
- 13
- 10
2.When b = 4, evaluate 5b − 6.
- 14
- 26
- 9
- 20
3.For y = 3, calculate 2y².
4.Substitute n = 6 into 3n + 4. Show the substitution and give the result.
Use more than one step
Take care with brackets, powers and negative values.
5.For r = 5 and s = 3, evaluate 4r − 2s. Show the values you substitute.
6.If x = 7, work out 2(x + 4).
7.When t = 6, calculate t² − 3t + 2.
8.A rectangle has length l = 9 cm and width w = 4 cm. Use P = 2l + 2w to find its perimeter.
Stretch and explain
Show each step, especially when squaring a negative number.
9.For a = −3, evaluate 2a² + 5a − 1.
10.In algebra, what does substituting a number for a variable mean? Give a brief explanation.
11.Evaluate 3k + 2 when k = 4.
2 printable pages
Page 1
Page 2
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