Pass Check: Brackets & Expanding

Expanding means multiplying everything inside a bracket by what is outside.

4 definitions3 to memorise3 common mistakes5 exam questions8-question quiz

Expand

To multiply out a bracket so it has no brackets left.

Distributive law

The rule that a(b + c) = ab + ac.

Double bracket

Two brackets multiplied together, e.g. (x + 2)(x + 3).

FOIL

A method for expanding double brackets: First, Outer, Inner, Last.

Quick check

Mixed quiz

1. Which is the correct expansion of (x+2)³?

2. Which expands to 3x + 15?

3. Which expands to x² - 9?

4. Solve 8(x + 2) = 16(x - 1).

5. Solve 7x + 10 = 31.

6. Solve 5(x + 2) = 10(x - 1).

7. Solve 9(x + 2) = 18(x - 1).

8. Solve 6(x + 2) = 12(x - 1).