GCSE Secondary Maths Age 13-17 - Algebra: Algebra - Simplifying - Explained

The video tutorial explains how to expand and simplify the algebraic expression 5(p + 3) - 2(1 - 2p). It begins by expanding the brackets, which involves multiplying each term inside the brackets by the number outside. The tutorial then simplifies the expression by combining like terms, resulting in the final answer of 9p + 13. The video also discusses the allocation of marks for correctly expanding the brackets and simplifying the expression.

What does it mean to expand the brackets in an algebraic expression?

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

• Add the terms inside the brackets.

• Subtract the terms inside the brackets.

• Divide the terms inside the brackets by the number outside.

What is the result of multiplying 5 by p in the expression 5(p + 3)?

• 15

• 5

• p

• 5p

When expanding the expression -2(1 - 2p), what is the result of -2 multiplied by 1?

• -2

• 1

• 2

• 0

After expanding, what is the simplified form of 5p + 4p?

• 1p

• 9p

• 4p

• 5p

How many marks are allocated for correctly simplifying the expression?

• Two marks

• One mark

• Three marks

• Four marks