NZ Level 7 (NZC) Level 2 (NCEA)
Solutions to 1-variable Linear Absolute Value Functions

## Interactive practice questions

How many solutions will the equation $\left|x\right|=a$|x|=a, where $a$a is a positive number, always have?

Easy
Less than a minute

For which value(s) of $b$b does the equation $\left|x\right|=b$|x|=b have only one solution?

If there is more than one value, write all the values on the same line, separated by commas.

Consider the equation $\left|x+7\right|-8=2$|x+7|8=2.

Solve the equation $\left|x\right|=8$|x|=8.

Write both solutions as equations on the same line separated by a comma.

### Outcomes

#### M7-2

Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs

#### 91257

Apply graphical methods in solving problems