Resources

Resources

Multiply and divide rational numbers

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?

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Write your answer as a decimal.

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6\frac{2}{3}

miles around the track. Each lap is

1\frac{2}{3}

miles. How many laps did Debbie run?

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

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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?

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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?

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A construction company transported

2

stones that weighed a total of

5.8

kilograms. How much did each stone weigh?

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1 \geq \frac{x}{10}-1

\frac{40}{x} \times 1

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.

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\$

1

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1

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What are the values of

x

y

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\mathrm{x}=

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type your answer...

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y=

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type your answer...

\frac{5}{6}

of one animal is in the fence.

15

animals are fenced what is the total number of animals

Harvey the wonder hamster can run

3 \frac{1}{6} \mathrm{~km}

\frac{1}{4}

hour. Harvey runs at a constant rate.

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Find his average speed in kilometers per hour.

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\square

kilometers per hour

\frac{4}{5}x\frac{5}{6}

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?

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1

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A) Students attending public universities in Arizona

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B) Freshmen attending colleges and universities in Arizona

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(C) Freshmen attending public universities in Arizona

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D) Freshmen attending a specific public university in Arizona

A poll asks movie critics to name their favorite movie genre. The results are shown in this circle graph. Thriller is the favorite genre of

18

of the critics polled. How many of the critics polled prefer the comedy genre? Enter your answer in the box. critics

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Enter the total weight of the ship (

4850000

kilograms) using the weights shown in the diagram.

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Write your answer using multiples of powers of

10

The ratio of free space to use space on a cell phone is

3:8

. How much space is used if the phone has

12\,\text{GB}

\frac{2300}{17}

apsb.info bookmarks

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This graph shows how a sapling's height depends on its age.

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Height of a sapling

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What is the rate of change?

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Write your answer as a decimal or integer.

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\square

inches per year

Mai's water bottle had

24

ounces in it. After she drank

x

ounces of water,

10

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Select all the equations that represent this situation.

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24 \div 10=x

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24+10=x

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24-10=x

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x+10=24

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10 x=24

\frac{1}{2}/5

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?

![https://externalquestionsimg.blob.core.windows.net/external-question-images/images/images/ka/DigitalSAT/Foundations%

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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?

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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?

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4

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Hannah's school hosted a book donation. There are

150

students at her school, and they donated a total of

b

books! Hannah donated

3

times as many as the average number of books each student donated.

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How many books did Hannah donate?

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Write your answer as an expression.

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Report a problem

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23

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24

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25

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26

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Solve by the method of your choice.

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Twenty-two people purchase raffle tickets. Three winning tickets are selected at random. If first prize is \$\(1000\), second prize is \$\(500\), and third prize is \$\(100\), in how many different ways can the prizes be awarded?\(\newline\)There are \(\square\) different ways in which the prizes can be awarded.\(\newline\)(Simplify your answer.)

A color photograph taken with a digital camera is converted into digital format using

4 \cdot 10^{0}

bytes per pixel. Photographs taken with the camera each have

2.2 \cdot 10^{6}

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How many bytes are there in one photo? Write your answer in scientific notation.

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375/5

375/5

\frac{3}{4}

of a bag of cat food. The food lasted

7\frac{1}{2}

weeks. How much cat food did Amira's cats eat per week?

An ice cream stand uses the expression

2+0.5 x

to determine the cost (in dollars) of an ice cream cone that has

x

scoops of ice cream.

A cookie factory uses

5 / 6

of a barrel of oatmeal in each batch of cookies. The factory used

5

5

6

barrels of oatmeal yesterday. How many batches of cookies did the factory make?

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

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(1)/(6)

of a packet of flour to make some muffins and

(1)/(4)

of it to make a cake She used the remainder to make some cupcakes. She used

(1)/(12)

of the packet of flour or each cupcake. How many cupcakes did she make?

\frac{1}{6}

of a packet of flour to make some muffins and

\frac{1}{4}

of it to make a cake she used the remainder to make some cupcakes. She used

\frac{1}{12}

of the packet of flour or each cupcake. How many cupcakes did she make?

A cookie factory uses

5 / 6

of a barrel of oatmeal in each batch of cookies. The factory used

5

5

6

barrels of oatmeal yesterday. How many batches of cookies did the factory make?

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

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.

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How many kilometers did Ethan rollerblade each day?

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Write your answer as an expression.

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\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.

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How many games did Chris sell?

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Write your answer as an expression.

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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.

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How many liters of water are in the bathtub after

t

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Write your answer as an expression.

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 T-shirts sold by the company, approximately how many of the

25,448

T-shirts sold were size medium?

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1

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5,090

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10,180

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15,270

![Linear inequality word problems foundations](https://externalquestionsimg.blob.core.windows.net/external-question-images/images/images/ka/DigitalSAT/Foundations%

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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

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11

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10.8

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9.7

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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

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11

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10.8

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9.7

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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?

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1

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5,090

\newline

10,180

\newline

15,270

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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?

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1

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12,500

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30,000

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37,500

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45,000

-5-15+4+15

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

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