Pass Check: Expressions & Simplifying

An expression combines letters, numbers and operations with no equals sign.

4 definitions3 to memorise3 common mistakes5 exam questions8-question quiz

Expression

A collection of terms with no equals sign, e.g. 3x + 2.

Simplify

To combine like terms to make an expression shorter.

Index (power)

The small raised number showing how many times a value is multiplied by itself, e.g. x³.

Product

The result of multiplying terms together, e.g. the product of 3 and x is 3x.

Quick check

Mixed quiz

1. Expand and simplify 8(x + 7) - x.

2. Expand and simplify 7(x + 6) - x.

3. Expand and simplify 4(x + 3) - x.

4. Which simplifies to 6xy?

5. Expand and simplify 9(x + 8) - x.

6. Expand and simplify 5(x + 4) - x.

7. Factorise fully 56x^2 + 42x.

8. Factorise fully 30x^2 + 20x.