Honors: Formulating and Solving Absolute Value Equations

Can distance be negative?

∣ 2x + 9 ∣ = 15

• x = 3

• x = 3, -6

• x = 3, -12

• x = 6, -12

|−2n| + 10 = −50

• r = 30, -30

• r = 20,-20

• r = -5,5

• No Solution

Solve for r.

−2|−2r − 4| = -12

• r = 5,1

• r = -5,-1

• r = -5,1

• No Solution

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