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Year 8 Algebra Worksheet
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Year 8 Algebra Worksheet
Simplify expressions by collecting like terms, solve equations using inverse operations, and write formulae from situations. Show your working where asked.
Simplifying expressions
Collect terms with the same variable part.
1.Simplify: 7x - 2x + 4x
2.Simplify: 6a + 2b - 3a + 5b
3.Choose the expression equivalent to 4m + 3m - m.
- 6m
- 8m
- 6m²
- m
4.Simplify: 2(3p + 5) - 4p
5.Simplify: 5x + 3 - 2x + 8
Solving linear equations
Use inverse operations to find the value of the variable.
6.Solve: x + 9 = 16
7.Solve: 4y = 28. Show the inverse operation you use.
8.Which value of k makes 3k - 5 = 16 true?
- k = 5
- k = 7
- k = 9
- k = 11
9.Solve: 2n + 6 = 20
10.Solve: 5r - 4 = 21
Writing formulae
Represent each quantity with the variable given, then write a formula.
11.A rectangle has length L and width W. Write a formula for its perimeter, P.
12.Each entry to a swimming pool costs £6. Write a formula for the total cost C of n entries.
13.A bike hire charge is £12 plus £3 for every hour hired. Write a formula for the total charge T for h hours.
14.A club charges £18 per month and a one-off joining fee of £7. Write a formula for the total cost C after m months.
2 printable pages
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