In this worksheet, we will practice solving equations involving the absolute value.

**Q6: **

Find algebraically the solution set of the equation .

- A
- B
- C
- D

**Q7: **

Amir was selling DVDs. The prices of the DVDs can be described by the equation where is the price in dollars. By graphing the equation or otherwise, determine the highest and the lowest cost of a DVD.

- Ahighest cost: $15, lowest cost: $11
- Bhighest cost: $19, lowest cost: $15
- Chighest cost: $11, lowest cost: $7
- Dhighest cost: $19, lowest cost: $11
- Ehighest cost: $19, lowest cost: $7

**Q8: **

Write an equation that represents the following: 19 times the absolute value of a number is equal to 323.

- A
- B
- C
- D
- E

**Q9: **

Find the solution set of in .

- A
- B
- C
- D

**Q10: **

Find algebraically the solution set of the equation .

- A
- B
- C
- D

**Q11: **

Find algebraically the solution set of the equation .

- A
- B
- C
- D

**Q13: **

Find the solution set of the equation in .

- A
- B
- C
- D

**Q14: **

Find the solution set of in .

- A
- B
- C
- D
- E

**Q15: **

Find algebraically in the solution set of the equation , where is constant.

- A
- B
- C
- D

**Q16: **

If , what is the value of ?

**Q17: **

Find all possible values of given .

- A
- B or
- C or
- D or

**Q18: **

Given that , find the solution set of the equation .

- A
- B
- C
- D

**Q19: **

Given that , find the value of .

- A
- B
- C
- D

**Q20: **

Given that , find the value of .

**Q21: **

Find algebraically the solution set of the equation .

- A
- B
- C
- D

**Q22: **

Write the set of all solutions to the equation .

- A
- B
- C
- D

**Q23: **

Find algebraically the solution set of the equation .

- A
- B
- C
- D

**Q24: **

Find all posssible values of given .

- A or
- B or
- C or
- D or

**Q25: **

Which of the following represents the interpretation for ?

- AThe distance between 4 and is 12.
- BThe distance between 4 and 12 is .
- CThe distance between 4 and is 12.
- DThe distance between 12 and is 4.
- EThe distance between and is 4.