Algebraic Fractions (Junior Cert Mathematics): Quizzes

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Adding/Subtracting Algebraic Fractions
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What are algebraic fractions?

Fractions with variables in numerator/denominator

What must fractions have before you can add or subtract them?

Same denominator

What is the first step when adding fractions with different denominators?

Find common denominator

When adding algebraic fractions, what stays the same?

The denominator

Simplify 2x5+3x5\frac{2x}{5} + \frac{3x}{5}

xx

What is the LCD of denominators 3 and 6?

6

To adjust 3x\frac{3}{x} to have denominator x(x+1)x(x+1), multiply by what?

x+1x+1\frac{x+1}{x+1}

After adding/subtracting algebraic fractions, you should always:

Simplify the result

How does x2−9x^2 - 9 factorise?

(x−3)(x+3)(x-3)(x+3)

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

(x−2)(x+2)(x-2)(x+2)

How does x2−4x+4x^2 - 4x + 4 factorise?

(x−2)2(x-2)^2

Simplify 4x9−6x9\frac{4x}{9} - \frac{6x}{9}

−2x9\frac{-2x}{9}

What must you be careful with when subtracting algebraic fractions?

Negative signs

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