Modulus Functions - Solving Equations (Edexcel A-Level Mathematics): Quizzes

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Modulus Functions - Solving Equations
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What type of value does the modulus function always give?

Non-negative value

What is ∣x∣|x| when x<0x < 0?

−x-x

What are the solutions to ∣x∣=4|x| = 4?

x=4x = 4 and x=−4x = -4

When solving modulus equations, what must you consider?

Different cases

What are the solutions to ∣2x−3∣=5|2x - 3| = 5?

x=4x = 4 and x=−1x = -1

For ∣2x−3∣=5|2x - 3| = 5 when 2x−3≥02x - 3 \geq 0, which equation do you solve?

2x−3=52x - 3 = 5

How many solutions does ∣x∣=4|x| = 4 have?

Two solutions

What is the solution to ∣x−1∣=∣2x+3∣|x - 1| = |2x + 3|?

x=−4x = -4

Why is x=−4x = -4 rejected in Case 1 of ∣x−1∣=∣2x+3∣|x - 1| = |2x + 3| when x≥1x \geq 1?

It contradicts x≥1x \geq 1

What should you do if a solution contradicts its case conditions?

Reject it

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