Worksheet: Rewriting Expressions

Practice in this worksheet rewriting expressions by expanding, factoring, and simplifying, and become familiar with some useful identities.

Q1:

Factorise fully .

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Q2:

Factor the expression .

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Q3:

Factor .

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Q4:

Factor .

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Q5:

Determine which of the following expressions is equivalent to .

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Q6:

An identity is an equation that is true for all values of its variables.

For example, is an identity because it will be true for all values of and .

Expand and simplify .

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Factor .

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Is the equation an identity?

• Ano
• Byes

Substitute and into the identity to generate a Pythagorean triple.

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Q7:

Answer the following questions for the brackets .

Expand the brackets .

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Is the identity true?

• Ayes
• Bno

Q8:

Is the equation an identity?

• A Yes
• B No

Q9:

Factor the expression .

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Q10:

Factorise fully .

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Q11:

Factorise fully .

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Q12:

Factorise fully .

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Q13:

Expand and simplify .

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Q14:

Write two equivalent expressions for the area of the following figure.

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Q15:

Express the following using symbols: The product of 4 and 16 plus 11.

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