Resources

Resources

Add and subtract decimals: word problems

3.3

pounds of peanuts and

8.4

pounds of raisins. How many pounds of snacks did he buy in all?

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0.8

inches on Saturday and

0.1

inches on Sunday. How much did it rain on Saturday and Sunday combined?

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Valentina bought

0.8

kilograms of apples and

0.9

kilograms of oranges. How much fruit did she buy in all?

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Tools Extensions Help

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FOR EACH PRISM, DRAG THE EXPRESSION THAT COULD BE USED TO FIND B, THE AREA OF THE BASE, TO THE FIRST BOX. THEN, DRAG THE EXPRESSION THAT COULD BE USED TO FIND

V

, THE VOLUME OF THE PRISM, TO THE SECOND BOX. NOT ALL CHOICES WILL BE USED.

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\frac{\sum^{2}}{3}

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\begin{tabular}{|c|c|}

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\frac{1}{2}(7)(6.1)

\frac{1}{2}(9)(12)

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13(12)

\frac{1}{2}(4)(3.5)

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(42.7)(6.1)

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4

3

5

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54

13

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7

8

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(21.35)(9)

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14

8

2 \frac{5}{8}

3 \frac{1}{2}

minutes at a constant speed. How far did the car travel in

5

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3

75

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6

67

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17

5

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13

13

Sofia's batting average is

0.022

higher than Joud's batting average. Joud has a batting average of

0.169

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What is Sofia's batting average?

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Grandpa Ernie is shrinking! Over the past

4

years, his height decreased by a total of

2.4 \mathrm{~cm}

. It decreased by the same amount each year.

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What was the change in Grandpa Ernie's height each year?

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\mathrm{cm}

Benjamin is riding a unicycle. The tire of his unicycle has a circumference of

2.8 \mathrm{~m}

, and the tire revolves

1

5

times per second.

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What is the distance Benjamin travels in

100

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A piece of paper is to display

150

square inches of text. If there are to be one-inch margins on the sides and the top and a two-inch margin at the bottom, what are the dimensions of the smallest piece of paper that can be used?

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1

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6 \prime \prime \times 25 \prime \prime

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10 \prime \prime \times 15 \prime \prime

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12 \prime \prime \times 18 \prime \prime

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15 \prime \prime \times 18 \prime \prime

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(E) None of these

145.000.000 + 4.000.000 + 25.000.000 + 60.152.000 + 16.000.000 + 45.000.000 + 58.500.00 + 1.350.000 + 1.500.000 + 65.000.000 + 16.700.000 + 18.800.000 + 3.750.000 + 27.000.000 + 1.600.000 + 45.000.000 + 25.000.000 + 35.000.000 + 3.500.000 + 13.200.000 + 2.700.000 + 67.800.000 + 17.000.000 + 13.000.000 + 13.000.000 + 2.400.000 + 900.000 + 900.000 + 2.450.000 + 4.150.000 + 7.000.000 + 53.750.000 + 10.800.000 + 3.900.000 + 17.800.000 + 1.360.000 + 3.400.000 + 7.250.000 + 7.250.000 + 15.000.000 + 8.400.000 + 6.370.000 + 7.500.000 + 18.000.000 + 35.000.000 + 18.000.000 + 5.000.000 =

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\mathrm{U}=1,2,3,4,8,10,11

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=1,2,3,4,11

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What is the complement of Set B in Set U?

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\{1,2,3,4,8,10,11\}

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\{1,4,8,11\}

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\{8,10\}

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\{1,2,3,4,11\}

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\mathrm{A}=1,3,4,5,7,9,11

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B=1,2,3,6,8,9

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What is the union of sets A and B?

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\{1,2,3,4,5,6,8\}

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\{1,3,9\}

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\{1,2,3,4,5,6,7,8,9,11\}

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\{4,5,7,11\}

To visit his grandmother, Michael takes a motorcycle

3

85

kilometers and a horse

3

32

kilometers. In total, the journey takes

50

54

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How many kilometers is Michael's journey in total?

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_________kilometers

3

cars that in total weigh

4.178

A

145 \, \text{kgs}

B

C

260\,\text{kgs}

B

. How much does car

B

weigh in tonnes?

7

) Audrey can use her laptop in energy-saving battery mode for seven hours. In regular battery mode, her laptop can be used for five hours. Audrey used her laptop for three hours in energy-saving battery mode. How many more hours can she use it in regular battery mode?

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2

1 / 7

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2

4 / 5

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2

6 / 7

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4

1 / 5

5

. Karl had planned to drive for

10 \frac{2}{3}

hours on a certain day during his road trip. When he became sleepy, however, he decided to decrease his driving time by

25 \%

that day. How long did Karl decide to drive the day?

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2 \frac{2}{3}

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8

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9

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13 \frac{1}{3}

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10

Below is the graph of a trigonometric function. It intersects its midline at

(8.7,7.2)

, and it has a minimum point at

(6.2,3.8)

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What is the amplitude of the function?

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A piece of paper is to display

150

square inches of text. If there are to be one-inch margins on the sides and the top and a two-inch margin at the bottom, what are the dimensions of the smallest piece of paper that can be used?

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1

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6 \prime \prime 25 \prime \prime

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10 \prime \prime \times 15 \prime

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12 \prime \times 18 \prime

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15 \prime \times 18 \prime

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(E) None of these

Students at schools in different states calculated the volume of snow that it took to fill one cup of water after the snow had melted. Their results, in cups, were:

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3.7,3.0,3.9,2.5,2.5,2.2

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To the nearest tenth of a cup, how much greater was the mean than the median of their calculations?

A study suggests that

75\%

of household solid waste can be recycled. However, the average person only recycles

30\%

of his or her solid waste. If the average person produces

4.5

pounds of solid waste a day, approximately how many more pounds of solid waste could be recycled compared to the amount they currently recycle?

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1

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1.35

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2.03

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3.38

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11.25

A scale on a hiking map shows that

3

inches represents

1

25

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What number of inches on the map represent

10

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Osvoldo has a goal of getting at least

30 \%

of his grams of carbohydrates each day from whole grains. Today, he ate

220

grams of carbohydrates, and

55

grams were from whole grains.

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Did Osvoldo meet his goal? Why?

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yes / no , Osvoldo ate

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grams of whole grains more / less than his goal.

Farmer Holstein weighed each of his cows. He found that Jo weighs

711

kilograms, Marty weighs

533

kilograms, and Jennifer weighs

664

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Find the mean weight.

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\mathrm{kg}

To visit his grandmother, Michael takes a motorcycle

3

85

kilometers and a horse

3

32

kilometers. In total, the journey takes

50

54

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How many kilometers is Michael's journey in total?

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To visit her grandmother, Melek takes a motorcycle

3

8

kilometers and a horse

3

32

kilometers. In total, the journey takes

50

54

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How many kilometers is Melek's journey in total?

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Orla and Eduardo each looked at a strand of their hair under a microscope and measured the diameter. Orla's strand was

0.005 \mathrm{~cm}

in diameter, and Eduardo's strand was

0.012 \mathrm{~cm}

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How much greater was the diameter of Eduardo's hair?

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Kylie has a modern quarter with a mass of

5.623 \mathrm{~g}

and an older silver quarter with a mass of

6.24 \mathrm{~g}

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What is the combined mass of the quarters?

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Darragh has a Golden Eagle coin in his collection with a mass of

13.551 \mathrm{~g}

. An uncirculated Golden Eagle coin has a mass of

13.714 \mathrm{~g}

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How much mass has Darragh's coin lost?

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During a recent rainstorm,

8

centimeters of rain fell in Dubaku's hometown, and

2

36

centimeters of rain fell in Elliot's hometown. During the same storm,

15

19

centimeters of snow fell in Alperen's hometown.

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How much more rain fell in Dubaku's town than in Elliot's town?

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To get to school each morning, Vanessa takes a horse

19

33

kilometers and a train

2

27

kilometers. In total, the journey takes

26

48

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How many kilometers is Vanessa's journey in total?

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To visit her grandmother, Jessica takes a horse

3

31

kilometers and a motorcycle

1

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How many kilometers is Jessica's journey in total?

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Himari gave birth to twins and named them Adrian and Chang. When they were first born, Adrian massed

2

87

kilograms and was

54

5

centimeters tall, and Chang massed

4

54

kilograms and was

51

centimeters tall.

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How much did the babies mass in total?

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To visit his grandmother, Luis takes a train

6

37

kilometers and a car

5

45

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How many kilometers is Luis's journey in total?

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To get to work each morning, Emily takes a horse

10

98

kilometers and a bike

4

06

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How many kilometers is Emily's journey in total?

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After a special medicine is introduced into a petri dish full of bacteria, the number of bacteria remaining in the dish decreases rapidly.

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The relationship between the elapsed time

t

, in seconds, and the number of bacteria,

B_{\text {second }}(t)

, in the petri dish is modeled by the following function:

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B_{\text {second }}(t)=6000 \cdot\left(\frac{15}{16}\right)^{t}

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Complete the following sentence about the rate of change in the number of bacteria in minutes. Round your answer to two decimal places.

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Every minute, the number of bacteria decays by a factor of

2 \frac{3}{5} \mathrm{~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.

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How much bird seed does Chidi put in his smaller feeder?

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\mathrm{kg}

Benji's flight from Chicago to San Jose took

0

5

hour longer than his return flight from San Jose to Chicago. If Benji's flight from Chicago to San Jose was

4

5

hours long, how long was his return flight, in hours?

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1

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3

5

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4

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4

5

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5

Last month, Margo bought a tree that grows

2.5 \mathrm{~cm}

each day. It was

5 \mathrm{~cm}

tall when she bought it and now it is

65 \mathrm{~cm}

tall. How many days has Margo owned the plant?