Solving absolute value equations Quiz 1

Question 1

Choose the correct answer for the question $$\left| {x - 1} \right| = 4$$

Accepted Answer

$$ - 3,5$$

Answer

$$3, - 5$$

Answer

$$3,5$$

Answer

$$ - 3, - 5$$

Question 2

Solve the question $$\left| {7 - 2x} \right| = 10$$ and choose the correct option.

Accepted Answer

$$ - \dfrac{3}{2},\dfrac{{17}}{2}$$

Answer

$$ - \dfrac{3}{2}, - \dfrac{{17}}{2}$$

Answer

$$\dfrac{3}{2},\dfrac{{17}}{2}$$

Answer

$$\dfrac{3}{2}, - \dfrac{{17}}{2}$$

Question 3

Solve the equation $$\left| {4x} \right| + 9 = 19$$ and choose the correct answer.

Accepted Answer

$$\dfrac{5}{2}, - \dfrac{5}{2}$$

Answer

$$\dfrac{5}{2},\dfrac{2}{5}$$

Answer

$$ - \dfrac{5}{2},\dfrac{2}{5}$$

Answer

$$ - \dfrac{5}{2}, - \dfrac{2}{5}$$

Question 4

State the correct answer for the question $$\left| {x - 3} \right| = 4 - x$$.

Accepted Answer

$$\dfrac{7}{2}$$

Answer

$$\dfrac{7}{2},\dfrac{1}{2}$$

Answer

$$ - \dfrac{7}{2}, - \dfrac{1}{2}$$

Answer

$$ - \dfrac{7}{2}$$

Question 5

State the correct answer for the question $$\left| {x - 1} \right| = 8 - x - 1$$.

Accepted Answer

$$4$$

Answer

$$0$$

Answer

$$ - \dfrac{5}{2}, - \dfrac{1}{2}$$

Answer

$$ - 2$$