Free Printable Rational Number Operations

1.

solve

a)

4 1/12

b)

3 5/ 12

c)

3 1/2

d)

not here

2.

solve

a)

- 2/9

b)

- 5/9

c)

2/9

d)

no there

3.

solve

a)

- 3 5/6

b)

3 5/6

c)

2 3/5

d)

not here

4.

- 1/3 + (-1/6)

a)

-1/2

b)

-2/6

c)

1/3

d)

-2/18

5.

The temperature was 3* C on Monday and was 7.5 degrees lower the next day. What was the temperature on Tuesday?

a)

10.5* C

b)

4.5* C

c)

-4.5* C

d)

-10.5* C

6.

A recipe calls for 1/2 cup of sugar and 1/3 cup of cinnamon. What is the measure of the two ingredients combined?

a)

5/6 cup

b)

2/5 cup

c)

1/6 cup

d)

1/5 cup

7.

-3/7 + 4/5

a)

43/35

b)

-13/35

c)

-43/35

d)

13/35

8.

¼ − (-¾)

a)

-1/2

b)

4/0

c)

1

d)

None of the above

9.

5 - 10 =

a)

5

b)

15

c)

-15

d)

-5

10.

- 4.68 + -1.24

a)

- 5.82

b)

3.44

c)

- 5.92

d)

- 3.44

11.

Choose the BEST answer: the definition of an integer is

a)

any number

b)

any positive or negative whole number

c)

zero

d)

all numbers including fractions and decimals

12.

a)

- 1 7/40

b)

15/40

c)

- 1 10/40

d)

17/40

13.

9.01 - (- 4.09)

a)

13.10

b)

4.82

c)

-13.00

d)

5.02

14.

If Angelica is five steps to the left of the classroom and Brian is 12 steps to the right of the classroom how far apart are they?

a)

6 steps apart

b)

5 steps apart

c)

17 steps apart

d)

0 steps apart

15.

What is the best way to describe the absolute value:

a)

0

b)

the opposite of the number

c)

The distance between that number an zero

d)

a positive number

16.

A rock climber that is 0.74 above sea level ascends 0.18 miles and then descends 0.8 miles. Which represents the location of the rock climber compared to sea level?

a)

.12

b)

1.72

c)

1.36

d)

-.24

17.

⅗+(−⅕)=

a)

⅖

b)

−⅖

c)

⅘

18.

-23.4 - 3.4=

a)

-20

b)

26.8

c)

-26.8

d)

20

19.

Make sure your final answer is in simplest form!

a)

-5/3

b)

-10/12

c)

0

d)

10/12

20.

What is the range in temperatures if the high temperature is 78 degrees and the low temperature is -23 degrees?

a)

55 degrees

b)

101 degrees

c)

45 degrees

d)

91 degrees

21.

When multiplying integers with the same signs, the answer will be...

a)

Positive

b)

Negative

c)

zero

d)

a fraction

22.

When multiplying integers with the different signs, the answer will be...

a)

Positive

b)

Negative

c)

zero

d)

a fraction

23.

When dividing with the same signs, the answer will be...

a)

Positive

b)

Negative

c)

zero

d)

a fraction

24.

When dividing integers with the different signs, the answer will be...

a)

Positive

b)

Negative

c)

zero

d)

a fraction

25.

Select ALL that have a positive solution

a)

3 × 5

b)

15 ÷ -5

c)

-10 × -5

d)

-4 × 6

e)

-30 ÷ -6

26.

-3(-4)

a)

-12

b)

7

c)

-7

d)

12

27.

64 ÷ (-8)

a)

8

b)

-8

c)

-9

d)

-7

28.

Simplify the expression
$-\frac{13}{14}\ \cdot\ \left(-6\right)$

a)

$5\frac{4}{7}$

b)

$-5\frac{4}{7}$

c)

$\frac{13}{84}$

d)

$-\frac{13}{84}$

29.

$5\frac{5}{6}\ \cdot\ \left(-2\frac{3}{5}\right)$

a)

$-15\frac{1}{6}$

b)

$15\frac{1}{6}$

c)

$2\frac{19}{78}$

d)

$-2\ \frac{19}{78}$

30.

$(-8.6)(-0.07)$

a)

0.602

b)

-0.62

c)

6.02

d)

-0.602

31.

$-\frac{5}{6}\div\left(-\frac{35}{60}\right)$

a)

$1\ \frac{3}{7}$

b)

$\frac{35}{72}$

c)

$-1\ \frac{3}{7}$

d)

$-\frac{35}{72}$

32.

$-3\ \frac{1}{5}\div1\ \frac{7}{11}$

a)

$1\ \frac{11}{45}$

b)

$\frac{56}{45}$

c)

$-1\ \frac{11}{45}$

d)

$-3\ \frac{11}{35}$

33.

$-3.56\div\left(-0.05\right)$

a)

7.12

b)

-71.2

c)

712

d)

71.2

34.

A bath tub drains at a constant rate. The amount of water changes by -0.75 gallons in one minute. What is the change in the amount of water in the bathtub after 5 minutes?

a)

-3.75 gallons

b)

375 gallons

c)

-0.15 gallons

d)

-37.5 gallons

35.

A grocery store sells chicken for $3.30 per pound. What would be the cost of 2 1/2 pounds of chicken?

a)

$8.00

b)

$8.25

c)

$82.50

d)

$0.80

36.

$\left(-4\right)^2$

a)

16

b)

-16

c)

8

d)

-8

37.

$-5^3$

a)

-25

b)

-15

c)

125

d)

-125

38.

$-1^{50}$

a)

-1

b)

1

c)

50

d)

-50

39.

14 + (22 - 2) =

a)

34

b)

37

c)

40

40.

20 x 2 - (10 - 4)

a)

22

b)

30

c)

34

41.

Solve:
(32 ÷ 8) + 27 - 11

a)

10

b)

20

c)

30

42.

Which operation is performed FIRST?
(13 - 1) + 4

a)

addition

b)

subtraction

c)

multiplication

43.

Which operation is performed SECOND?
44 ÷ 2 X (3 -1)

a)

muliplication X

b)

division ÷

c)

subtraction -

44.

Which operation is performed SECOND :
38 + (9 x 6) ÷ 3

a)

multiplication

b)

addition

c)

division

45.

Solve:
38 + (9 x 6) ÷ 3

a)

40

b)

65

c)

56

46.

(15 ÷ 3)² + 9 ÷ 3

a)

11.3

b)

28

c)

13

47.

24 ÷ 6 + 4²

a)

12

b)

2

c)

20

48.

3 x 2² + 24 ÷ 8

a)

15

b)

10.5

c)

4.5

49.

What is the first step in solving this problem:
-12 ÷ 6 (-3) + 8

a)

multiplication

b)

addition

c)

division

d)

subtraction

50.

What does cubed mean?

a)

Multiply the factor times itself two times.

b)

Multiply the factor times two.

c)

Multiply the factor times three.

d)

Multiply the factor times itself three times.

51.

Simplify

a)

232

b)

278

c)

332

d)

488

52.

a)

156

b)

67

c)

78

d)

128

53.

a)

9

b)

-8

c)

10

d)

4

54.

Dan ate 3/8 of the pizza. Joseph ate 1/4 of the pizza. What fraction of the pizza did they both eat?

a)

5/8

b)

1/3

c)

3/4

d)

1/2

55.

If there were 2 cups of oil, then 3/4 cup is poured out, how much is left?

a)

1 ¼ cups

b)

1 ½ cups

c)

2 ¾ cups

d)

3/4 cup

56.

Sarah has 2 3/4 bags of mulch. Each bag covers 74.3 square feet. How many sq. ft can she cover?

a)

204.325 sq ft

b)

17.3826 sq ft

c)

2043.25 sq ft

d)

173.862 sq ft

57.

A football team gained 8 yards, then lost 5 yards twice. How many yards did they gain or lose?

a)

-13 yards

b)

+3 yards

c)

−2 yards

d)

+13 yards

58.

If the temperature dropped 18° in 6 minutes, the average change in temperature per minute =

a)

−3°

b)

3°

c)

12°

d)

-12°

59.

You bought items that cost $6.75. You paid with a $10 bill. How much change did you receive?

a)

$16.75

b)

$3.25

c)

$4.25

d)

$2.75

60.

If you deposit $215, write two checks for $25, and withdraw $40, your new bank balance is:

a)

$125

b)

$225

c)

$305

d)

$150

61.

Jacques has 54 feet of edging to put around his triangular flower bed. If two sides of the flower bed are 15.75 and 19.5. What is the length of the third side of the flower bed?

a)

18.75 feet

b)

32.25 feet

c)

34.5 feet

d)

36.25

62.

In January 2009, Nia bought 1 ounce of silver for $9.50. How much would it cost her if she wanted to buy 3.75 ounces at that time?

a)

$25.33

b)

$3.56

c)

$35.625

d)

$2.53

63.

Manutea bought 2.75 pounds of coffee beans for $ 24.31 . What will be the cost of 1 pound of coffee beans?

a)

$ 8.00

b)

$ 8.84

c)

$ 66.85

d)

$ 19.99

64.

Nancy spent $44.59 on 5.25 quarts of olive oil. What is the cost of one quart of olive oil? Round to the nearest cent.

a)

$8.38 per quart

b)

$8.49 per quart

c)

$8.57 per quart

d)

$8.92 per quart

65.

In the world’s coldest freezer, sodium gas was cooled to a temperature of 78.5°C below zero and then cooled 194.65°C more. What was the new temperature of the sodium gas?

a)

–273.15°C

b)

–272.7°C

c)

–202.5°C

d)

–116.15°C

66.

A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount left in the account to make zero?

a)

–90

b)

–78

c)

–66

d)

–12

67.

Noah buys 6 items that each cost $4.25 and 3 items that each cost $6.75. How much does Noah spend in total?

a)

$20.25

b)

$25.50

c)

$38.25

d)

$45.75

68.

Anusha brings a $20 bill to the store. She purchases 4 pairs of socks for $2.25 each and a new belt for $7.50. How much change will Anusha receive when she pays for her clothes?

a)

$3.50

b)

$7.50

c)

$9.00

d)

$16.50

69.

Mrs. Thomas has $71.00 to purchase bottles of juice for her class. If the bottles of juice cost $3.55 each, how many bottles can she buy?

a)

17 bottles

b)

20 bottles

c)

23 bottles

d)

24 bottles

70.

Cliff collects marbles. ½ of his collection is blue. Of the blue marbles ½ of these are a dark blue. How much of Cliff’s marble collection is dark blue?

a)

1 of the marbles

b)

¼ of the marbles

c)

10 of the marbles

d)

½ of the marbles

71.

Candice and Chris run a relay race at recess. Candice runs 1 ⅓ of a lap around the track. Chris runs ½ of a lap around the track. How much farther does Candice run than Chris?

a)

⅚ laps

b)

⅔ laps

c)

¾ laps

d)

⅙ laps

72.

The price of a share of stock started the day at $37. During the day it went down $3, up $1, down $7, and up $4.What was the price of a share at the end of the day?

a)

$32

b)

- $32

c)

- $5

d)

$30

73.

A roller coaster begins at 90 feet above ground level. Then it descends 105 feet. Find the height of the coaster after the first descent

a)

- 15 feet

b)

15 feet

c)

195 feet

d)

- 195 feet

74.

A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new position?

a)

- 550 feet

b)

550 feet

c)

- 1050 feet

d)

1050 feet

75.

In Buffalo, New York, the temperature was -14^oF in the morning. If the temperature dropped 7^oF, what is the temperature now?

a)

7^oF

b)

-7^oF

c)

-21^oF

d)

21^oF

76.

In the Sahara Desert one day it was 136^oF. In the Gobi Desert a temperature of -50^oF was recorded. What is the difference between these two temperatures?

a)

86^oF

b)

186^oF

c)

80^oF

d)

100^oF

77.

A football team lost 9 yards on each of three consecutive plays. What was the team’s total change in position for the three plays?

a)

-9 yards

b)

3 yards

c)

-12 yards

d)

-27 yards

78.

A team of four player competed in a golf contest. The names and scores of the player on the team are shown in the table. The team's score is the sum of the scores in the table. What is the team's score?

a)

10

b)

-10

c)

4

d)

-4

Rational Number Operations

Total questions: 78

Worksheet time: 5hrs 40mins

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