Algebraic Fractions (Edexcel GCSE Maths): Quizzes

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Algebraic fractions
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What key principle applies when working with algebraic fractions?

They follow same rules as numerical fractions

What is the goal when simplifying algebraic fractions?

Cancel common factors in numerator & denom.

What is 21x3y214xy3\frac{21x^3y^2}{14xy^3} simplified?

3x22y\frac{3x^2}{2y}

What does DOTS stand for when simplifying algebraic fractions?

Difference of two squares

Why can't you cancel the xx in x+2x\frac{x+2}{x}?

xx is a term, not a factor in numerator

How do you multiply ab×cd\frac{a}{b} \times \frac{c}{d}?

a×cb×d\frac{a \times c}{b \times d}

When multiplying algebraic fractions, what's a time-saving tip?

Cancel common factors before multiplying

What is the first step when dividing by a fraction?

Flip the second fraction

What does a÷bca \div \frac{b}{c} equal?

a×cba \times \frac{c}{b}

Why is adding algebraic fractions more challenging than multiplying?

You need to work with common denominators

What is the common denominator for 2x+3+5x2\frac{2}{x+3} + \frac{5}{x-2}?

(x+3)(x2)(x+3)(x-2)

Which operation with algebraic fractions is described as the most straightforward?

Multiplication

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