Solving Linear Equations With Fractions (Leaving Cert Mathematics): Flashcards
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12 cards from this deck
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Practise the cards
12 cards from this deck
What's the first step when solving linear equations with fractions?
What's the first step when solving linear equations with fractions?
Clear the fractions by multiplying through
How to clear a single fraction from an equation
How to clear a single fraction from an equation
Multiply both sides by the denominator
How to clear multiple fractions from an equation
How to clear multiple fractions from an equation
Multiply every term by the LCM of all denominators
Why use LCM when solving equations with multiple fractions?
Why use LCM when solving equations with multiple fractions?
Eliminates all fractions in one step
When multiplying by the LCM, what must you multiply?
When multiplying by the LCM, what must you multiply?
Every term in the equation, not just the fractions
How to verify your solution to a fraction equation
How to verify your solution to a fraction equation
Substitute back into the original equation
First thing to identify in fraction equations
First thing to identify in fraction equations
All denominators
Why show all working in fraction equation exams
Why show all working in fraction equation exams
Examiners award marks for method even if answer is wrong
Common mistake: multiplying by LCM
Common mistake: multiplying by LCM
Forgetting to multiply constant terms
Common mistake with LCM
Common mistake with LCM
Calculating the LCM of denominators incorrectly
Common mistake: after clearing fractions
Common mistake: after clearing fractions
Making errors when expanding brackets
What to find before clearing multiple fractions
What to find before clearing multiple fractions
The LCM of all denominators