Resources

Resources

Multiply and divide rational numbers

Grandma Gertrude gave

13

pieces of jewelry and Grandma Fien gave

y

pieces of jewelry to the Carlson sisters to divide evenly among themselves. There are

5

Carlson sisters. How many pieces of jewelry did each sister receive? Write your answer as an expression.

\frac{2}{9}

of his shirt in

3 \frac{3}{5}

minutes. Brian irons at a constant rate. At this rate how much of his shirt does he iron in one minute?

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2

45

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2

27

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3

25

\newline

3

20

Tomas was able to fill 6 rac{2}{3} equal-sized buckets

\text{bags}

of golf balls with

\text{balls}

in each bag; then his friend gave him

\text{more}

golf balls. How many golf balls does Jack have now? Write your answer as an expression.

\text{balls}

9.45 \times 10^{15}

meters in a year. There are about

3.15 \times 10^7

seconds in a year. How far does light travel per second? Write your answer in scientific notation.

\frac{64}{27}

Simplify by adding, subtracting, multiplying, or dividing, as indicated:

\newline

\$10-\$2.34

\$12

per hour delivering cakes. She worked for

x

hours this week. Unfortunately, she was charged

\$15

for a late delivery on Tuesday. How much money did Sunny earn this week? Write your answer as an expression.

\newline

\$ \square

A passenger plane took

4

hours to fly a distance of

880

miles. What was its speed?

\newline

Write your answer as a whole number or decimal.

\newline

____ miles per hour

Which of the following is a whole number?

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\newline

\frac{1}{4}

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-\frac{12}{3}

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-10

\newline

0

2\frac{7}{10}

barrels of almonds to make

3

batches of granola bars. How many barrels of almonds did the factory put in each batch?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

\frac{1}{2}

of a bin of glass bottles to recycle. Tina collected

6\frac{1}{8}

times as many bins as Ivan. How many bins of bottles did Tina collect?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

A teddy-bear maker uses

4.7

ounces of stuffing for each bear. How many ounces will he need to use for

3

\newline

\_\_\_\_

A hose in a dessert factory pumps out

7.6

liters of chocolate syrup each minute. How many liters of chocolate syrup will the hose pump out in

2

\newline

\_\_\_\_

Samantha bought

3

plastic discs. Each disc weighs

0.3

ounces. How much do the

3

plastic discs weigh in all?

\newline

\_\_\_\_

Nancy's science class weighed

8

identical balls on a scale. The combined weight of the balls was

7.2

kilograms. What was the weight of each ball?

\newline

\_\_\_\_

Use the model to find the product.

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\frac{1}{3} \times \frac{1}{4} = \underline{\hspace{1cm}}/\underline{\hspace{1cm}}

Use the model to find the product.

\newline

\frac{1}{2} \times \frac{1}{4} =

\underline{\hspace{1cm}}

\underline{\hspace{1cm}}

Use the model to find the product.

\newline

\frac{1}{2} \times \frac{1}{3} =

\underline{\hspace{1cm}}

\underline{\hspace{1cm}}

Vijay made a block of scented soap which weighed

8\frac{1}{2}

pounds. He divided the soap into

3

equal pieces. How much did each piece of soap weigh?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

Addison's science class weighed

6

identical balls on a scale. The combined weight of the balls was

0.3

kilograms. What was the weight of each ball?

\newline

\_\_\_\_

Jenny bought a package of

4

tennis balls. The total weight of the tennis balls was

9

ounces. How much did each tennis ball weigh?

\newline

Write your answer as a decimal.

\newline

\_\_\_\_\_

6\frac{2}{3}

miles around the track. Each lap is

1\frac{2}{3}

miles. How many laps did Debbie run?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

Each piece of cardboard is

0.1

centimeters thick. If Fernando stacks

4

pieces of cardboard on top of one another, how thick will the stack be?

\newline

\_\_\_\_

A construction company transported

2

stones that weighed a total of

5.8

kilograms. How much did each stone weigh?

\newline

\_\_\_\_

A toll bridge took in

2.4 \times 10^7

dollars last month. If

4 \times 10^6

cars went across the toll bridge during that time, how much was the average toll per car? Write your answer in standard form. Do not use exponents.

\newline

\$

Tavaris surveyed a random sample of freshmen across public universities in Arizona to learn how they feel about their academic workload. The results of the survey are most representative of which of the following populations?

\newline

1

\newline

A) Students attending public universities in Arizona

\newline

B) Freshmen attending colleges and universities in Arizona

\newline

(C) Freshmen attending public universities in Arizona

\newline

D) Freshmen attending a specific public university in Arizona

Mai's water bottle had

24

ounces in it. After she drank

x

ounces of water,

10

\newline

Select all the equations that represent this situation.

\newline

24 \div 10=x

\newline

24+10=x

\newline

24-10=x

\newline

x+10=24

\newline

10 x=24

2\frac{3}{5}\,\text{KG}

of bird seed in his large feeder. This is

1\frac{3}{10}

times as much seed as he puts in his smaller feeder. How much bird seed does Chidi put in his smaller feeder?

The population of a city decreases by

2.2 \%

per year. What should we multiply the current population by to find next year's population in one step?

\newline

The population of a city increases by

3.2 \%

per year. What should we multiply the current population by to find the next year's population in one step?

\newline

375/5

10

bottles of orange juice at the corner store for a total cost of

\$10.10

. If each bottle costs the same amount, how much is

5

bottles of juice?

Ethan rollerbladed a total of

623\text{km}

d

days. He rollerbladed the same distance each day.

\newline

How many kilometers did Ethan rollerblade each day?

\newline

Write your answer as an expression.

\newline

\square \text{km}

8

employees on The Game Shop's sales team. Last month, they sold a total of

g

games. One of the sales team members, Chris, sold

17

fewer games than what the team averaged per employee.

\newline

How many games did Chris sell?

\newline

Write your answer as an expression.

\newline

12g

gives the number of kilometers a car can travel using

g

liters of gasoline. How far can this car travel on

5 \frac{1}{2}

liters of gasoline?

A bathtub is filling with water at a rate of

60

liters per minute.

\newline

How many liters of water are in the bathtub after

t

\newline

Write your answer as an expression.

3n

cups of lemon juice to make

22

cups of lemonade. What is the ratio of the volume of lemon juice to the volume of lemonade?

A young sumo wrestler goes on a special diet to gain weight. The variable

w

models the wrestler's weight (in kilograms) after the wrestler has been on a special diet for

t

months. The equation

w=80+5.4t

models the situation. How much weight does the wrestler gain every

2

\newline

11

\newline

10.8

\newline

9.7

\newline

12

A young sumo wrestler goes on a special diet to gain weight. The variable

w

models the wrestler's weight (in kilograms) after the wrestler has been on a special diet for

t

months. The equation

w=80+5.4t

models the situation. How much weight does the wrestler gain every

2

\newline

11

\newline

10.8

\newline

9.7

\newline

12

A clothing company took a random sample of its T-shirt sales and found that

\frac{2}{5}

of the T-shirts sold in the sample were size medium. If the sample is representative of all Tshirts sold by the company, approximately how many of the

25,448

T-shirts sold were size medium?

\newline

1

\newline

5,090

\newline

10,180

\newline

15,270

\newline

20,360

Genovia is a city-state with approximately

50,000

citizens. In a recent newspaper poll of the citizens of Genovia,

\frac{3}{4}

of the poll respondents were in favor of establishing a democratic government. If the citizens polled are representative of all citizens of Genovia, approximately how many citizens are in favor of establishing a democratic government?

\newline

1

\newline

12,500

\newline

30,000

\newline

37,500

\newline

45,000

-5-15+4+15

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\frac{1}{3} \div \frac{1}{4}=

\newline

\frac{2}{5} \div \frac{1}{6}=

\frac{1}{4} \times \left(-\frac{1}{2}\right) =