Absolute Value Equation and Inequality Word Problems

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

• |x + 50|=15

• |x - 15|=50

A company sells 20-ounce bottles of sports drink. The actual volume of liquid in the bottle must be within 0.03 ounces. What equation can be solved to find the minimum and maximum volume of liquid in a bottle.

• |v - 0.03|=20

• |v - 20|=0.03

• |v + 0.03|=20

• |v + 20|=0.03

The average January temperature in a northern Canadian city is 1 degree Fahrenheit. The actual January temperature for that city may be about 5 degrees warmer or colder. Write an equation to find the minimum and maximum temperatures.

• |t - 1|=5

• |t - 5|=1

• |t + 1|=5

• |t + 5|=1

A standard adult tennis racket has a 100 square-inch head, plus or minus 20 square inches. Write an equation t o determine the least and greatest possible sizes for the head of an adult tennis racket.

• |x - 100|=20

• |x - 20|=100

• |x + 100|=20

• |x + 20|=100

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

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

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

Solve: |x + 1| = 5

• {6, 4}

• {6, -4}

• {4, -6}

• {-6, 6}

Solve: l x − 6 l = 6

• {12, 0}

• {3, -3}

• {0, -12}

• No Solution