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Solving Absolute Value Inequality Word Problems

Authored by Anthony Clark

Mathematics

12th Grade

CCSS covered

Used 2+ times

Solving Absolute Value Inequality Word Problems
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9 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

While grilling steaks, Washington likes to keep the grill temperature on 425 degrees Fahrenheit, plus or minus 15 degrees Fahrenheit. Which equation represents this situation?

|t - 425|=15

|t - 15|=425

|t + 425|=15

|t + 15|=425

Tags

CCSS.HSA.CED.A.3

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Victor has a goal of making $75 per week at his after-school job. Last month he was within $6.50 of his goal. Write an equation to find the maximum and minimum amounts that Victor might have made last month?

|x - 75|=6.50

|x - 6.50|=750

|x + 75|=6.50

|x + 6.50|=75

Tags

CCSS.HSA.CED.A.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Sofia is buying new skis. She finds that the average price of skis is $750 but the actual price varies by $250. Write an equation to describe this situation.

|x - 750|=250

|x - 250|=750

|x + 750|=250

|x + 250|=750

Tags

CCSS.HSA.CED.A.3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The U.S. Mint produces quarters that weigh about 5.67 grams each. After the quarters are produced, a machine weighs them. If the quarter weighs 0.02 grams more or less than the desired weight, the quarter is rejected. Write and solve an equation to find the heaviest and lightest quarters the machine will approve.

|x - 5.67|=0.02

|x + 5.67|=0.02

|x - 0.02|=5.67

|x + 0.02|=5.67

Tags

CCSS.HSA.CED.A.3

5.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

A candy manufacture puts 240 pieces of candy into each bag. The bag can be off by 8 pieces. Write an absolute value inequality that displays the acceptable amount of candy pieces that can be in a bag.

6.

MULTIPLE CHOICE QUESTION

1 min • 3 pts

Solve:  |x - 3| < 8

x > 5 or x < -11

-11 < x < 5

x > 11 or x < -5

-5 < x < 11

7.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

A factory produces bolts that must be 5 inches in length with a tolerance of 0.2 inches. Bolts that are not within the tolerated lengths will be discarded. Which of the following inequalities can be used to assess which bolts are acceptable? (b is the length of the bolt)

|b - 5| ≤ 0.2

|b - 5| ≥ 0.2

|b - 0.2| ≤ 5

|b - 0.2| ≥ 5

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