# Worksheet: Absolute Value Equations

Q1:

What is the solution set of the equation ?

• A
• B
• C
• D

Q2:

What is the solution set of the equation ?

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• C
• D

Q3:

What is the solution set of the equation ?

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• D

Q4:

What is the solution set of the equation ?

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• D

Q5:

What is the solution set of the equation ?

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• D

Q6:

What is the solution set of the equation ?

• A
• B
• C
• D

Q7:

Find the solution set of the equation .

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• D
• E

Q8:

Find the solution set of the equation .

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• D

Q9:

Find the solution set of .

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• E

Q10:

Find the solution set of .

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• E

Q11:

Liam 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

Q12:

Solve .

• A or
• B or
• C or
• D or
• E or

Q13:

Find algebraically the solution set of the equation .

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• D

Q14:

Find algebraically the solution set of the equation .

• A
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• C
• D

Q15:

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

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• E

Q16:

Find the solution set of the equation in .

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• D

Q17:

Find algebraically the solution set of the equation .

• A
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• C
• D

Q18:

Find algebraically the solution set of the equation .

• A
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• C
• D

Q19:

Given that , find the value of .

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• D

Q20:

Find the solution set of in .

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• E

Q21:

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

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• D

Q22:

If , what is the value of ?

Q23:

Find the solution set of in .

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• D

Q24:

Find all possible values of given .

• A
• B or
• C or
• D or

Q25:

Given that , find the solution set of the equation .

• A
• B
• C
• D