Solving with Rational Numbers

Carmen is 5 1/4 years younger than Antoine. Katy is 11 1/2 years older than Carmen. To the nearest year, what is the difference in Antoine’s age and Katy’s age?

• Antoine is about 17 years older than Katy

• Antoine is about 17 years younger than Katy

• Antoine is about 6 years older than Katy.

• Antoine is about 6 years younger than Katy

A scientist measures the change in the temperature of a chemical solution. At the start of the experiment, the solution is at a temperature of 214.96°C. The temperature decreases 2.9°C each hour. What expression can be used to find the temperature of the solution after 3 hours

• -2.9 -2.9 -2.9

• 214.96 - 2.9

• 214.96 - 2.9 - 2.9

• 214.96 - 2.9(3)

Amalia is scuba diving at a position 24.25 feet below sea level. She descends 0.5 foot each minute for 25 minutes. What is Amalia’s position compared to sea level after 25 minutes?

• -12.75

• -36.75

• -24.30

• -29.25

Suppose a, b, c, and d are as follows: a is a decimal greater than 4. b is a positive fraction less than 1. c is a negative fraction greater than -1. d is a number greater than 1.

True/False a/-4 must be less than -1.

• True

• False

• I don't know

Suppose a, b, c, and d are as follows: a is a decimal greater than 4. b is a positive fraction less than 1. c is a negative fraction greater than -1. d is a number greater than 1.

True / False: . b+ c is always negative.

• True

• False

• I don't know

Suppose a, b, c, and d are as follows: a is a decimal greater than 4. b is a positive fraction less than 1. c is a negative fraction greater than -1. d is a number greater than 1.

True / False: -2bc must be a positive number less than 1

• True

• False

• I don't know

Suppose a, b, c, and d are as follows: a is a decimal greater than 4. b is a positive fraction less than 1. c is a negative fraction greater than -1. d is a number greater than 1.

True / False: bc is always a negative number greater than -1

• True

• False

• I don't know

Suppose a, b, c, and d are as follows: a is a decimal greater than 4. b is a positive fraction less than 1. c is a negative fraction greater than -1. d is a number greater than 1

True / False: c + d is always positive

• True

• False

• I don't know

Which is the best estimate of -15/16 + (-1/2)

• 1 1/2

• 1/2

• -1/2

• -1 1/2

Beth plays a video game in which she starts with 0 points. In round 1, she loses 3 1/2 points; in round 2, she wins 28 1/2 points; and in round 3, she loses another 3 1/2 points. What is her final score?

• -18 1/2

• 18 1/2

• 21 1/2

• 35 1/2