Adding Algebraic Fractions (Leaving Cert Mathematics): Quizzes

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Adding Algebraic Fractions
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12 questions from this quiz

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What are algebraic fractions?

Fractions with variables in numerator/denominator

What must you have before adding algebraic fractions?

A common denominator

What is Step 1 in adding algebraic fractions?

Find the common denominator

When adding fractions with the same denominator, what do you do with the numerators?

Add or subtract them

What is 4x−34−x3\frac{4x - 3}{4} - \frac{x}{3} as a single fraction?

8x−912\frac{8x - 9}{12}

What is the LCM of (x+3)(x + 3) and (x−4)(x - 4)?

(x+3)(x−4)(x + 3)(x - 4)

What is 1x+3+1x\frac{1}{x + 3} + \frac{1}{x} as a single fraction?

2x+3x(x+3)\frac{2x + 3}{x(x + 3)}

What is the final step when adding algebraic fractions?

Simplify the answer

What common mistake should you avoid when converting fractions?

Forgetting to multiply numerator and denominator

What memory aid helps remember the process?

LCD First

How can you check your answer?

Substitute x = 1 in both expressions

What is 2x+34+x3\frac{2x + 3}{4} + \frac{x}{3} as a single fraction?

10x+912\frac{10x + 9}{12}

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Fundamentals of Algebra

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