1.7 Absolute Value Solving and Writing Equations

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The length of a machine part should be 6.75 inches (in). The manufacturing tolerance is within 0.04 in.

a. What is the minimum value the machine part could be? ​

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b. What is the maximum value the machine part could be?​

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6.71

6.79

6.83

7.69

Drag and Drop

Dennis has a goal of making $115 per week at his after-school job. Last month he was within $9.25 of his goal.

a. What is the maximum amount Dennis could have made last month? $​​

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b. What is the minimum amount Dennis could have made last month? $​

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124.25

105.75

143.52

110.75

Poll

I can SOLVE multi-step absolute value equations.

• I need help. I can't get started.

• I'm getting there but I need more practice.

• I understand this and I feel confident.

Poll

I can WRITE multi-step absolute value equations.

• I need help. I can't get started.

• I'm getting there but I need more practice.

• I understand this and I feel confident.

Drag and Drop

|x-1| + 2 = 5 ​

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-|x - 1| - 1 = 0 ​

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|x + 1| - 2 = - 2​

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7 |1 - x| + 3 = 24​

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x=4; -2

no solution

x = - 1

x = -2; 4

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|x + 1| + 3 = 2 ​

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-3 |x - 1| + 1 = 1 ​

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|2x + 3| - 4 = 1 ​

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|x - 2| + 6 = 6 ​

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no solution

x = 1

x = 1; -4

x = 2