Solve Absolute Value Inequalities and Word Problems

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

Tags

CCSS.HSA.CED.A.3

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

Tags

CCSS.HSA.CED.A.3

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

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

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

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

To make cocoa powder, cocoa beans are roasted. The ideal temperatures for roasting is 300 degrees Fahrenheit, plus or minus 25 degrees Fahrenheit. Write an equation describing the maximum and minimum temperatures for cocoa beans.

• |x - 300|=25

• |x + 300|=25

• |x - 25|=300

• |x + 25|=300

Tags

CCSS.HSA.CED.A.3

Solve:|v + 8| = 7

• {-1, -15}

• {-1,-5}

• {-15,15}

• {-1, 15}

Solve: |x – 12| = 14

• {-2, -26}

• {26, -2}

• {25, 3}

• {4, -7}

Solve: l x − 6 l = 6

• {12, 0}

• {3, -3}

• {0, -12}

• No Solution