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Word problems
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100

−9 ∙ 0 ∙ (−3)

0

100

-56 divide -14

4

100

The water in a pool evaporates at a rate of 16 gallons per week. What integer represents the change in the number of gallons of water in the pool after 24 weeks?

The integer that represents the change is -384 gallons.

100

(2/9)/(-4/7)

-7/18

100

Evaluate the expression for s = –1. 

44s^2

44

200

-18∙6

-108

200

10 − 12^2 ÷ (−2)^3

28

200

How many three-quarter pound burgers can be made with 12 pounds of hamburger?

You can make 16 burgers.

200

(5 2/3)/(2 1/6)

34/13

200

Evaluate the expression for w = -12. Simplify your answer. 

(-w)/2

6

300

−|−3| ∙ (−6)

18

300

1 5/6 divide (-30)

-11/180

300

A gallon of gasoline costs $2.96. Your car has a 25-gallon gas tank. Find the cost of filling your gas tank if it is already 1/5 full?

It will cost $59.20 to fill up the rest of your gas tank.

300

(15/8)/(5/2-1/4)

5/6

300

Evaluate the expression for u = -3.

-16(-2u)

-96

400

1.27 ∙ (-2.2)

-2.794

400

14.616 divide (-2.32)

-6.3
400

The table shows the changes in your times (in seconds) at the new skateboard ramp. 

What is your mean change?

Your mean change is −0.52 seconds.

400

(-3/10)/(1-2/5)

-1/2

400

Evaluate the expression for c = 2.

-7c^2-10c+49

1

500

1 2/3(-2 9/10)

-4 5/6

500

What is the mean of the follow data points?

7.6, -2.3, -0.3, -16.7, 1.2

The mean is -2.1.

500

DAILY DOUBLE (WORTH 2 POINTS)

Two integers, a and b, have a product of –48.

a. What is the greatest possible sum of a and b?

b. Is it possible for a and b to have a sum of 13? If so, what are the integers?

a. The greatest possible sum for a and b is 47.

b. Yes; -3 + 16 = 13.

500

(2 2/3+1 5/6)/((4/5)(-9/2))

-5/4

500

Explain why substituting x = 2 into the following expressions would give you a different answer.

 a) -x^2 

b) (-x)^2 

In part a, 2 is squared and then the negative sign is put on it, so the answer is -4.

In part b, it's -2 that is squared, which is 4.