Solving Linear Equations With Fractions (Leaving Cert Mathematics): Quizzes

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Solving Linear Equations With Fractions
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11 questions from this quiz

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What is the first step when solving linear equations with fractions?

Clear the fractions

For an equation with one fraction, what should you multiply both sides by?

The denominator

For equations with multiple fractions, what should you use to eliminate them?

LCM of all denominators

What is the LCM of 5, 2, and 4?

20

Solve 2x−15=3\frac{2x - 1}{5} = 3. What is xx?

x=8x = 8

When using the LCM method, which terms must be multiplied by the LCM?

Every term in the equation

Why use the LCM instead of other multiples when clearing fractions?

It eliminates all fractions at once

What is the LCM of 3, 4, and 6?

12

Which is a common mistake when solving fraction equations?

Not multiplying constants by LCM

How should you verify your solution to a fraction equation?

Substitute into original equation

Solve 4x5−x2=34\frac{4x}{5} - \frac{x}{2} = \frac{3}{4}. What is xx?

x=52x = \frac{5}{2}

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