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

📚Quizzes
Modulus Functions - Solving Equations
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

What does the modulus function give for any real number?

The non-negative value

How is the modulus of xx denoted?

x|x|

For x<0x < 0, what is x|x| equal to?

x-x

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

x=4x = 4 or x=4x = -4

How many cases must be considered when solving 2x3=5|2x - 3| = 5?

Two cases

For 2x3=5|2x - 3| = 5 when 2x302x - 3 \geq 0, what is the solution?

x=4x = 4

What are the solutions to 2x3=5|2x - 3| = 5?

x=4x = 4 and x=1x = -1

What is the solution to x1=2x+3|x - 1| = |2x + 3|?

x=4x = -4

In Example 3, why is x=4x = -4 invalid in Case 1?

It contradicts x1x \geq 1

What is the first step when solving modulus equations?

Split into cases based on sign changes

Join 100,000+ A-Level students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.