Lesson 17: Practice Problems

Problem 1

Describe a situation where each of the following quantities might be useful.

-20 gallons per hour
-10 feet per minute
-0.1 kilograms per second

Problem 2

A bank charges a service fee of $7.50 per month for a checking account.

A bank account has $85.00. If no money is deposited or withdrawn except the service charge, how many months until the account balance is negative?

Problem 3

A submarine is only allowed to change its depth by rising toward the surface in 60-meter stages. It starts off at -340 meters.

At what depth is it after:
- 1 stage
- 2 stages
- 4 stages
How many stages will it take to return to the surface?

Problem 4 From Unit 7 Lesson 16

Evaluate each expression. When the answer is not a whole number, write your answer as a fraction.

$(- 4) \cdot (- 6)$
$(- 24) \cdot (\frac{- 7}{6})$
$4 \div (- 6)$
$\frac{4}{3} \div (- 24)$

Problem 5 From Unit 6 Lesson 7

A restaurant bill is $21. You leave a 15% tip. How much do you pay including the tip?
Which of the following represents the amount a customer pays including the tip of 15% if the bill was $b$ dollars? Select all that apply.
1. $0.15 b$
2. $15 b$
3. $b + 0.15 b$
4. $1.15 b$
5. $1.015 b$
6. $b + \frac{15}{100} b$
7. $b + 0.15$

Problem 6 From Unit 4 Lesson 15

Consider a rectangular prism with length 4 and width and height $d$ .

A rectangular prism with a square base. The width of the base is labeled d and the rectangular face has length 4 and height d.

Find an expression for the volume of the prism in terms of $d$ .
Compute the volume of the prism when $d = 1$ , when $d = 2$ , and when $d = \frac{1}{2}$ .