The modulus function

The modulus function Quiz

Spec 2.7 · Edexcel A-Level Maths: Quiz

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5 questions, one answer each

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1. Solve $|x-4|=3$ .
- A. $x=7$ only
- B. $x=1$ only
- C. $x=1$ or $x=7$
- D. $x=-1$ or $x=-7$
2. Solve $|2x+1|\le5$ .
- A. $-3\le x\le2$
- B. $x\le-3$ or $x\ge2$
- C. $-2\le x\le3$
- D. $x\le2$
3. What is the vertex of $y=|2x-6|$ ?
- A. $(-3,0)$
- B. $(0,6)$
- C. $(6,0)$
- D. $(3,0)$
4. Solve $|x|=2x-3$ .
- A. $x=1$ and $x=3$
- B. $x=3$ only
- C. $x=1$ only
- D. no solutions
5. Solve $|3x-1|>2$ .
- A. $-\frac13<x<1$
- B. $x>1$
- C. $x<-\frac13$ or $x>1$
- D. $x<-\frac13$