Free Printable TOPIC 1 RATIONAL NUMBERS REVIEW

1.

A length of string is 16 feet long. Sarah wants to cut it into 1 ³/₅ foot pieces. How many pieces of string will Sarah have?

a)

¹/_{10 pieces}

b)

10 pieces

c)

16 pieces

d)

20 pieces

2.

Ms. Monica bought 5.4 pounds of mangoes at $1.35 per pound at the farmers' market. How much did Ms. Monica spend on mangoes?

a)

$6.40

b)

$6.29

c)

$7.29

d)

$7.40

3.

Maria has $20.56. She buys an apple for 79 cents and a granola bar for $1.76. How much money does she have now?

a)

$18.05

b)

$18.01

c)

$2.55

d)

$2.57

4.

Sonia’s dad paid $43.25 for 12.5 gallons of gas. What is the cost of one gallon of gas?

a)

$3.25

b)

$4.35

c)

$4.00

d)

$3.46

5.

What is the decimal equivalent of $\frac{4}{25}$ ?

a)

16%

b)

0.16

c)

1.6

d)

0.08

6.

TRUE OR FALSE?

A rational number can be written as a fraction.

a)

True

b)

False

7.

Convert this to a decimal: $\frac{4}{7}$ Round to the nearest hundredth.

a)

57.14%

b)

47%

c)

0.47

d)

0.57

8.

$\left(-36\right)\ \div\ \left(-9\right)\ =\$

a)

-3

b)

4

c)

-4

d)

9

9.

$\left(-2\right)\ -\ \left(-9\right)\ =\$

a)

-11

b)

7

c)

-7

d)

11

10.

A family spent $90 over 5 months on a subscription to Netflix. How much money did they lose each month?

a)

18

b)

-85

c)

-18

d)

-90

11.

Matt spent $77 over 5 1/2 months on groceries. If he spent the same amount every month, how much money did Matt spend on groceries each month?

a)

71.5

b)

-14

c)

14

d)

-15.4

12.

Sam has $225 at the beginning of the month. If Sam spends $15 every week on eating out, how much money does Sam have after 4 weeks?

a)

$165

b)

$210

c)

$240

d)

$285

13.

In the morning the temperature was

15\degree f.

At noon, the temperature had dropped

12\degree.

. By 9pm that night, the temperature had dropped another

10\degree.

What was the temperature at 9pm.

a)

$3\degree$

b)

$27\degree$

c)

$-7\degree$

d)

$-5\degree$

14.

6 + (-7) - 8

a)

-9

b)

-15

c)

5

d)

7

15.

$20\ +\ \left(-20\right)\ =\$

a)

20

b)

0

c)

-20

d)

40

16.

What is the additive inverse of -12?

a)

$\frac{1}{12}$

b)

12

c)

$-\frac{1}{12}$

d)

$\left|12\right|$

17.

Find the reciprocal of 7.

a)

$\frac{1}{7}$

b)

$\frac{7}{1}$

c)

- $\frac{1}{7}$

d)

- $\frac{7}{1}$

18.

Evaluate the expression:

$\frac{2}{3}\ -\ \left(-0.1\right)$

a)

$\frac{27}{30}$

b)

$\frac{9}{10}$

c)

$\frac{23}{30}$

d)

0.76

19.

Evaluate the expression:

$\left|-10\ -\ 4\right|$

a)

-14

b)

6

c)

-6

d)

14

20.

Find the value of:
$3\frac{1}{5}\ \div-\frac{3}{10}$

a)

$10.67$

b)

$10\frac{2}{3}$

c)

$-10.67$

d)

$-10\frac{2}{3}$

21.

Which integer represents a 12 yard gain?

a)

-12

b)

- $\left|12\right|$

c)

12

d)

- $\left|-12\right|$

22.

What is the value of:

$\left|-9\right|$

a)

$-9$

b)

$-\left|-9\right|$

c)

$9$

d)

1

23.

What is the value of: $\left|6\right|\ +\ \left|-12\right|$

a)

$6$

b)

$-6$

c)

$-18$

d)

$18$

24.

Anthony borrows $6.50 from a friend. He then borrows $3.75 from his sister. Choose an equation to express Anthony's total debt that day.

a)

$6.50+\left(-3.75\right)=2.75$

b)

$-6.50+3.75=-2.75$

c)

$-6.50+\left(-3.75\right)=-10.25$

d)

$6.50+3.75=10.25$

25.

The temperature at noon at a ski resort is 3°F. The temperature drops by 8°F by midnight. What is the temperature at midnight?

a)

11° F

b)

5° F

c)

-5° F

d)

-11° F

26.

How are integers and their opposites related? Check all that apply.

a)

They are either both positive or both negative.

b)

The are on opposite sides of 0 on a number line.

c)

The combine to make 0.

d)

They have opposite signs.

e)

They are never the same distance from 0 on a number line.

27.

Juan is walking up a hill at 130¾ feet above sea level when he kicks a pebble. If the pebble falls to the base of the hill, which is 18.5 feet below sea level, what is the vertical distance that the pebble fell?

a)

111.75 ft

b)

112¼ ft

c)

148.75 ft

d)

149¼ ft

28.

Arianna runs up 4 flights of stairs and then runs down 4 flights of stairs. Does this situation represent additive inverses? Explain.

a)

Yes; The numbers combine to eight.

b)

Yes; The numbers combine to zero.

c)

No; The numbers are both represented by the same integer.

d)

No; The numbers cannot be added together.

29.

What is the sum of -4½+3¼

a)

-4½

b)

-2¾

c)

-1¼

d)

0

30.

8 + (-3)

a)

Start at 8 then move left 3 times

b)

Start at 8 then move right 3 times

c)

Start at 3 then move left 8 times

d)

Start at 3 then move right 8 times

31.

When adding a negative integer which way do you move?

a)

Right

b)

Left

32.

Check ALL boxes that would have a negative sum

a)

2 + 5

b)

-8 + 3

c)

-6 + 6

d)

7 - (-3)

e)

9 + (-11)

33.

Evaluate the expression if x = -4, y = 4 and z = -3.

xy + z

a)

19

b)

-19

c)

-3

d)

-16

34.

Evaluate the expression if x = 5, y = -8 and z = -12.

x + y - z

a)

-15

b)

-25

c)

9

d)

15

35.

7 5/6 - 3 1/12

a)

4 1/6

b)

3 11/12

c)

4 9/12

d)

4 3/4

36.

In his garden Tim plants a tomato seed 5¼ inches below the ground. After one month the tomato plant has grown a total of 11½ in. How many inches is the plant above the ground?

a)

16¾ inches

b)

6½ inches

c)

6¼ inches

37.

Mr. Smith has an account balance of -$275.78. He deposits $539.20 into his account. What is Mr. Smith's account balance now?

a)

$813.98

b)

$263.42

c)

$539.78

d)

$345.98

38.

Jacob ran 4 3/5 miles on Monday, 4.5 miles on Tuesday, and 3 3/5 miles on Wednesday. How many total miles did John run?

a)

12 26/50 miles

b)

12 7/10 miles

c)

11 7/12 miles

d)

12 miles

39.

A pitcher contains 3 1/2 quarts of milk. Gabrielle pours 1.875 quarts into a smaller pitcher. How many quarts of milk are left in the first pitcher?

a)

1 3/4 quarts

b)

1 5/8 quarts

c)

1 1/4 quarts

d)

4 3/4 quarts

40.

What is the additive inverse of -7.2?

a)

$-\left|7.2\right|$

b)

$7.2$

c)

$72$

d)

$-\frac{1}{7.2}$

TOPIC 1 RATIONAL NUMBERS REVIEW

Total questions: 40

Worksheet time: 3hrs 20mins

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