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Ivy Maths
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Year 9

Algebra: Expressions

Definition

Expanding double brackets multiplies every term in one bracket by every term in the other. Simplifying then collects the like terms into a neat expression.

Why Do I Have to Learn This?

Algebra uses letters to stand for numbers we do not know yet. It turns puzzles into rules you can use again and again.

Key Rules:

  • 1. Multiply each term in the first bracket by each term in the second.
  • 2. Collect the like terms.
  • 3. Take care with the signs of every term.

Remember:

  • (x + 3)(x + 2) expands to x² + 5x + 6.
  • A common method is to multiply four pairs of terms.
  • The two x terms combine into one.

Algebra

Maths that uses letters to stand for numbers, so a rule can be written once and used for any value.

In x + 3 = 7, the letter x stands for the missing number 4.

Animated Example:

3
×2
+1
7
3 → ×2 → +17

Free Algebra: Expressions Worksheet

Download free worksheets and practise today.

Every download has a fresh set of questions.

Let’s Practise the Concept

Step 1 of 3

Solve it

2x + 0 = -8. What is x?