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Unit 3 Review - Rational Numbers

Total questions: 40

Worksheet time: 10hrs 0mins

Name
Class
Date
1.

 Melanie is training for a track meet. During the 5 days this week, she ran a TOTAL of  111411\frac{1}{4} miles. How far did Melanie run each day? (First, write the division problem. Then, solve). 

a)

 2142\frac{1}{4} miles

b)

 561456\frac{1}{4} miles

c)

3 miles

d)

4 miles

2.

 −334÷ 512-3\frac{3}{4}\div\ 5\frac{1}{2}  

Divide. Make sure your final answer is in simplest form.

a)

-11/23

b)

-15/29

c)

-3/2 

d)

-15/22

3.

 38÷ (−17)\frac{3}{8}\div\ \left(-\frac{1}{7}\right)  

a)

 −258-2\frac{5}{8}  

b)

 −356-\frac{3}{56}  

c)

 2582\frac{5}{8}  

d)

 356\frac{3}{56}  

4.

Multiply. Make sure your final answer is in simplest form. −214 ⋅ (−5)-2\frac{1}{4\ }\cdot\ \left(-5\right)  

a)

-10¼  or -41/4

b)

-11¼  or -45/4

c)

11¼ or 45/4

d)

10¼

5.

The temperature dropped at a rate of 2½ degrees per hour for 4¼ hours. How much did the temperature drop?

a)

−818-8\frac{1}{8}

b)

−1058-10\frac{5}{8}

c)

−1710-1\frac{7}{10}

d)

−134-1\frac{3}{4}

6.

What is the reciprocal of  2382\frac{3}{8}  

a)

 −198-\frac{19}{8}  

b)

 −819-\frac{8}{19}  

c)

 819\frac{8}{19}  

d)

 198\frac{19}{8}  

7.

Liliana divided 3123\frac{1}{2}  by 7.  What did she get?

a)

1/2

b)

24 1/2

c)

21

d)

3/4

8.

 58 − (−78)\frac{5}{8}\ -\ \left(-\frac{7}{8}\right)  

a)

 1121\frac{1}{2}  

b)

 2122\frac{1}{2}  

c)

 −112-1\frac{1}{2}  

d)

 −212-2\frac{1}{2}  

9.

−7.34 − (−5.51)

a)

1.93

b)

-1.83

c)

-12.85

d)

12.85

10.

6.59 + (−7.8) − (−2.41)

a)

16.8

b)

11.98

c)

-3.62

d)

1.2

11.

Solve  12 + (−34)\frac{1}{2}\ +\ \left(-\frac{3}{4}\right)  

a)

-1/4

b)

1

c)

-1

d)

1/4

12.

Find the difference
 710 − 910\frac{7}{10}\ -\ \frac{9}{10}  

a)

5

b)

-1/5

c)

-8/5

d)

8/5

13.

  −23.4 − 3.4 =-23.4\ -\ 3.4\ =  

a)

-20

b)

26.8

c)

-26.8

d)

20

14.
-40 + 15.05= 
a)
55.05
b)
24.95
c)
-24.95
d)
14.65
15.

 49+ (−23)\frac{4}{9}+\ \left(-\frac{2}{3}\right)  

a)

 1191\frac{1}{9}  

b)

 −119-1\frac{1}{9}  

c)

 29\frac{2}{9}  

d)

 −29-\frac{2}{9}  

16.

 −178+ (−312)-1\frac{7}{8}+\ \left(-3\frac{1}{2}\right)  

a)

5 3/8

b)

-5 3/8

c)

1 5/8

d)

-1 5/8

17.

 −34 − (−23)-\frac{3}{4\ }-\ \left(-\frac{2}{3}\right)  

a)

 112\frac{1}{12}  

b)

 −112-\frac{1}{12}  

c)

 −1712-\frac{17}{12}  

d)

 −1512-1\frac{5}{12}  

18.

Which rational number is the greatest?

a)

0.702

b)

8/11

c)

7/9

d)

-0.723

19.

Fill in the blank with the correct sign >, < , or =
 −34-\frac{3}{4}  ________  −45-\frac{4}{5}  

a)

>

b)

<

c)

=

20.

Compare.
 1.75 1.75\ _{ } ____  1341\frac{3}{4}  

a)

<

b)

>

c)

=

21.
Three students were reading the same novel.  Romaisa read 3/5 of the novel, Syed read 17/25 of the novel, and Felix read 0.63 of the novel.  Who has read the most?
a)
Romaisa
b)
Syed
c)
Felix
22.

Which comparison symbol should be placed between the two numbers?

-1.98 ____ -1.97

a)

<

b)

>

c)

=

23.
Which of these values is the LEAST?
a)
0
b)
-3
c)
65%
d)
1/2
24.

 −32-\frac{3}{2}  _________  23\frac{2}{3}  

a)

<

b)

> 

c)

=

25.


List in order from least to greatest.
 54,56%,1.07,45\frac{5}{4},56\%,1.07,\frac{4}{5}  

a)

 54,56%,1.07,45\frac{5}{4},56\%,1.07,\frac{4}{5}  

b)

 1.07,45,54,56%1.07,\frac{4}{5},\frac{5}{4,}56\%  

c)

 56%,1.07,45,5456\%,1.07,\frac{4}{5},\frac{5}{4}  

d)

 56%,45,1.07,5456\%,\frac{4}{5},1.07,\frac{5}{4}  

26.

Which is NOT an equivalent fraction to 12?\frac{1}{2}?  

a)

 24\frac{2}{4}  

b)

 23\frac{2}{3}  

c)

 48\frac{4}{8}  

d)

 36\frac{3}{6}  

27.

Select the equivalent fraction for  23.\frac{2}{3}.  

a)

 46\frac{4}{6}  

b)

 810\frac{8}{10}  

c)

 39\frac{3}{9}  

d)

 612\frac{6}{12}  

28.

What value of "x" makes this true?

 34=9x\frac{3}{4}=\frac{9}{x}  

a)

4

b)

12

c)

16

d)

8

29.

Complete the equivalent fraction.

 35=x25\frac{3}{5}=\frac{x}{25}  

a)

6

b)

9

c)

15

d)

23

30.

What value of x would make this a true statement?

 312=x4\frac{3}{12}=\frac{x}{4}  

a)

1

b)

3

c)

9

d)

8

31.

Put  1545\frac{15}{45}  in simplest form.

a)

3/9

b)

1/3

c)

30/90

d)

Already in simplest form

32.

Change to a percent

 34\frac{3}{4}  

a)

34%

b)

.75%

c)

1.3%

d)

75%

33.

Change to a percent

0.039

a)

39%

b)

3.9%

c)

.00039%

d)

.039%

34.

Change to a fraction in simplest form.

18%

a)

18/100

b)

18/50

c)

0

d)

9/50

35.

Change to fraction in simplest form.

64%

a)

64/100

b)

16/25

c)

32/50

d)

64/50

36.

 320\frac{3}{20}  Change to a decimal

a)

0.3

b)

0.03

c)

0.15

d)

0.015

37.

Change to a percent

0.08

a)

0.08%

b)

80%

c)

8%

d)

0.8%

38.

Convert to a percent

2.54

a)

2.54%

b)

2540%

c)

0.254%

d)

254%

39.

Write 45% as a fraction in simplest form.

a)

3/40

b)

45/100

c)

1/2

d)

9/20

40.

On a recent quiz, you answered 19 out of 25 questions correctly. What was your score as a percentage?

a)

60%

b)

65%

c)

76%

d)

80%