Expanding Brackets Worksheets

Expanding Brackets Practice

Expanding brackets worksheets for years 8, 9 and 10 working at grades 3 to grade 5 for 9-1 GCSE Maths. This section currently contains 6 expanding brackets worksheets. Expanding brackets worksheet 1 and expanding bracket worksheet 2 involve simple algebraic expressions. Expanding bracket worksheet 2 asks students to use a grid method and the grids are provided on the expanding brackets worksheet. Expanding brackets worksheet 3 involves expanding the bracket and then simplifying the expression. Expanding brackets worksheet 4 asks students to expand double brackets using a grid method. Expanding brackets worksheet 5 is a more traditional expanding bracket worksheet and it contains three sections which increase in difficulty. Expanding brackets worksheet 6 is a mixed exercise whereby students both factorise and expand brackets on a single maths worksheet.

Expanding Brackets Examples

Expanding brackets is an algebraic technique used when solving equatons and simplifying expressions. To expand the brackets is to multiply everything inside the brackets, ( ), by what's outside the bracket. For example: 2(x + 3) is 2 multipled by x added to 2 multipled by 3. The result is 2x + 6.

Expanding Brackets Worksheet Example 1

Expanding Brackets Worksheet Example 2

Expanding Brackets Worksheet Example 3

How To Expand Brackets Using FOIL

The FOIL method is the most common way to expand double brackets. FOIL stands for multiply the first, the outer, the inner and the last. In the example below, x is the first term of both brackets, x and 5 are the outer terms, 8 and x are the inner terms, and 8 and 5 are the last numbers. x multiplied by x is x2. x multipled by 5 is 5x. 8 multiplied by x is 8x. 8 multipled by 5 is 40. The result is x2 + 5x + 8x + 40. When simplified the final answer is, x2 + 13x + 40 because 5x + 8x equals 13x.

FOIL Maths ExampleFor questions on factorising try: Factorising Worksheets

Expanding Brackets Questions And Answers

For questions on factorising try: Factorising Worksheets