Full Grade 11 test

Split |kx + b| = r into two equations: kx + b = r and kx + b = −r. Solve both equations and give both solutions.

First calculate the expressions inside the two absolute-value signs separately. Then apply the definition of absolute value: a positive number remains unchanged, while a negative number is replaced by its positive opposite. Finally add the two non-negative values.

The fractional exponent ^m⁄_n means that you may first take the nth root and then raise the result to the power m.

Rule: a^m/n = (ⁿ√a)^m = ⁿ√(a^m).

1. Look at the denominator n of the exponent: it gives the root index.
2. Take the nth root of the base.
3. Raise the resulting number to the power m shown by the numerator.

In this question, the base is generated as an exact nth power, so the root is an integer.