Equations with Brackets Flashcards

GCSE Mathematics (Edexcel) 1MA1

Expand brackets

Multiply each term inside the bracket by the term outside the bracket.

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Terms in this set (10)

1

Expand brackets

Multiply each term inside the bracket by the term outside the bracket.

2

Simplify after expanding

Combine like terms after expanding the brackets.

3

Solve linear equations with brackets

Expand the brackets, simplify, and isolate the variable to solve.

4

Distributive property

The rule used to expand brackets: a(b + c) = ab + ac.

5

Example: Expand 3(x + 4)

3(x + 4) = 3x + 12.

6

Example: Solve 2(x + 3) = 14

Expand to 2x + 6 = 14, then solve: 2x = 8, so x = 4.

7

Equations with brackets on both sides

Expand brackets on both sides, simplify, and solve for the variable.

8

Example: Solve 3(x - 2) = 2(x + 1)

Expand to 3x - 6 = 2x + 2, simplify to x = 8.

9

Factorising to solve equations

Reverse the process of expanding brackets to factorise and solve equations.

10

Check your solution

Substitute your solution back into the original equation to verify it works.

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