Solving Absolute Value Inequality Word Problems

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

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

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

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

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.

Solve:  |x - 3| < 8

• x > 5 or x < -11

• -11 < x < 5

• x > 11 or x < -5

• -5 < x < 11

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

John is looking for a job after graduation. The salary which he is satisfied with must be $3000 with a tolerance of $500. Which of the following inequalities can be used to assess which if his salary is tolerable? (m is the measure of the salary)

• |m - 500| ≤ 3000

• |m - 500| ≥ 3000

• |m - 3000| ≥ 500

• |m - 3000| ≤ 500

Your have money in your wallet, but you don't know the exact amount. When a friend asks you, you say that you have 50 dollars give or take 15. Write an absolute value equation to model this situation.

• |x-50|=15

• |x+15|=50

• |50+x|=15

• No Solution