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Review Modules 1-4

Total questions: 65

Worksheet time: 3hrs 21mins

Name
Class
Date
1.

Pam walks 3/4 of a mile to school. Paul walks 1/8 of a mile to school. How much farther does Pam walk than Paul?

a)

5/8

b)

4/8

c)

1 3/8

d)

3/4

2.

Jerome wants to walk to school. He lives 2 1/4 miles away. So far, he has walked 7/8 of a mile. How far does he have left to go?

a)

1 3/8

b)

3 1/2

c)

1 3/4

d)

2 3/4

3.

10  − 4 2610\ \ -\ 4\ \frac{2}{6}   

a)

5 2/3

b)

6 2/3

c)

6 1/3

d)

5 1/3

4.

4 45  +  3 124\ \frac{4}{5}\ \ +\ \ 3\ \frac{1}{2}  

a)

8 3/10

b)

7 3/10

c)

8 2/5

d)

8 1/10

5.

Find the difference.

a)

11/20

b)

4/20

c)

2/20

6.
a)

456\frac{45}{6}

b)

7 367\ \frac{3}{6}

c)

2 7102\ \frac{7}{10}

d)

2710\frac{27}{10}

7.
a)

55

b)

59\frac{5}{9}

c)

153\frac{15}{3}

d)

95\frac{9}{5}

8.

Evaluate the expression. Write the answer in simplest form. 
25+245÷134\frac{2}{5}+2\frac{4}{5}\div1\frac{3}{4}

a)
2
b)
2  4/5
c)
4
d)
4  3/4
9.
a)

2217\frac{22}{17}

b)

2227\frac{22}{27}

c)

2722\frac{27}{22}

d)

1722\frac{17}{22}

10.
Find the GCF of 64 and 144
a)
8
b)
6
c)
16
d)
2
11.
Which number could NOT round to 300 when rounding by hundreds.
a)
347
b)
249
c)
297
d)
305
12.
Which number could NOT be rounded to 650 when rounding by tens?
a)
644
b)
645
c)
646
d)
647
13.
Round 128,955 to the nearest thousands place.
a)
129,000
b)
100,000
c)
129,950
d)
128,900
14.

64\sqrt[]{64}

a)

24

b)

8

c)

32

d)

16

15.

7,428 ÷ 9 =7,428\ \div\ 9\ =  

(Know how to check your answer!)

(a)  

16.

9,352 ÷ 11 =9,352\ \div\ 11\ =  

(Know how to check your answer!)

(a)  

17.

Neveah orders a square pizza.  3/4 of the pizza has pepperoni.  2/3 of the pepperoni also has green peppers.  How much of the whole pizza has both pepperoni and green peppers? 

a)

1/2

b)

1/3

c)

1/4

d)

3/8

18.

Jenny has 4 gallons of sports drink for her soccer team.  She is pouring the sports drink into bottles to share with her teammates.  If each bottle holds 1/8 of a gallon.  How many bottles will she fill?   

a)

16

b)

24

c)

2

d)

32

19.

187 x 264 =?

(Know how to estimate the answer using front-end rounding!)

a)

49,368

b)

51,368

c)

48,306

d)

56,528

20.
Translate:
The product of 7 and x increased by 6
a)
7x + 6
b)
(7/x) + 6
c)
(7 – x) + 6
d)
7 + x + 6
21.

How would you translate

5 times the quantity 9 plus x ?

a)

5x+95x+9

b)

5(9+x)5\left(9+x\right)

c)

5+(9+x)5+\left(9+x\right)

d)

5⋅9+x5\cdot9+x

22.

Translate: Six fewer than twice a number is four.

a)

6 - 2x = 4

b)

2x - 6 = 4

c)

x2 - 6 = 4

d)

6 - x2 = 4

23.

Translate:

Twice the sum of a number and 5 is 22.

a)

2x+5=22

b)

2x +22 = 5

c)

x2+5 = 22

d)

2(x+5)=22

24.

Translate:

The total of 3 and twice a number is 11.

a)

3 - 2n = 11

b)

3 + n2 = 11

c)

3 + 2n = 11

d)

3(2n) = 11

25.
| -5 | =
a)
-5
b)
5
26.

Choose all the correct statements.

a)

−∣−8∣ =8-\left|-8\right|\ =8

b)

12 =∣ −1 2∣\frac{1}{2}\ =\left|\ -\frac{1}{\ 2}\right|

c)

−7-7 = −∣−7∣-\left|-7\right|

d)

43=\frac{4}{3}= −∣43∣-\left|\frac{4}{3}\right|

e)

∣61∣=61\left|61\right|=61

27.
(-3)2
a)
9
b)
-9
c)
6
d)
-6
28.
(-2)4
a)
16
b)
-16
c)
8
d)
-8
29.

−52-5^2  

a)

10 

b)

 25

c)

-25 

d)

-10 

30.
The temperature drops 2°F each hour. What is the total change in temperature after 12 hours?
a)
-24
b)
26
c)
24
d)
-26
31.
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)
$27
b)
$31
c)
$32
d)
$35
32.
It is 78 degrees in San Diego and it is -1 degrees in Calgary. How many degrees warmer is it in San Diego than Calgary? 
a)
77
b)
79
c)
-77
d)
-79
33.

A shark is swimming at 430 feet below sea level. The shark descends 90 feet and then ascends 300 feet. What is the sharks new location?

a)

220 feet below sea level

b)

640 feet below sea level

c)

127 feet below sea level

d)

342 feet below sea level

34.

A scuba diver is swimming at a depth of -12 feet. She dives down to five times the depth. What is her depth now?

a)

-7 feet

b)

-60 feet

c)

-17 feet

d)

60 feet

35.
Solve the following:
5 - 62 ÷ 4 - 3
a)
1
b)
-10.75
c)
-31
d)
-7
36.

−2×32−(−5)-2\times3^2-\left(-5\right)  

a)

23

b)

-7

c)

-23

d)

-13

37.
Hannah made four withdrawals of $20 from her checking account.  She also wrote a check for $215.  By how much did the amount in her checking account change?
a)
increased by 295
b)
increase by 315
c)
decreased by 115
d)
decreased by 295
38.

−200=?\frac{-20}{0}=?

a)
-20
b)
0
c)
undefined
d)
1
39.
(-7) - 32
a)
21
b)
63
c)
-16
d)
-62
40.

5−(−4)(−3)25-\left(-4\right)\left(-3\right)^2

a)
-60
b)
41
c)
60
d)
81
41.
Solve the following:
-2 ⋅ (3 + 8 ÷ 4)2
a)
-16
b)
1.375
c)
4
d)
-50
42.

Evaluate: bc + 5a  
when  a = 3, b = 4, and c = -6

a)
9
b)
38
c)
-38
d)
-9
43.
Evaluate the expression when y = 5
2y2 + 3y
a)
75
b)
65
c)
115
d)
105
44.

Evaluate x2 + 2x - 1 when x = -3

a)

-2

b)

2

c)

16

d)

-15

45.
Simplify the following expression:
-9(14p - 8) - 4p
a)
130p - 72
b)
122p - 72
c)
-130p - 18
d)
-130p + 72
46.

Simplify the expression.

6(2a+5b)+3(a-8b)

a)

15a+6b

b)

21ab

c)

5a

d)

15a-6b

47.
Simplify the Expression: 10x - 3(2x + 8)
a)
4x - 24
b)
-4x + 24
c)
16x - 24
d)
14x - 6
48.
Simplify
(3x2 +2x -1) - 2(x+4)
a)
3x2 - 9
b)
3x2 - 4x - 9
c)
3x2+ 4x - 9
d)
3x2+ 3x + 1
49.
20 = 8x - 12
a)
2
b)
3
c)
4
d)
5
50.

Solve:  7(2x+9)=−7Solve:\ \ 7\left(2x+9\right)=-7

a)
x= -5
b)
x= 5
c)
x= -4
d)
x= 4
51.
a)

k = 7

b)

k = -4

c)

k = 2

d)

k = 10

52.
a)

r = -3.5

b)

r = -4.75

c)

r = -4

d)

r = 4

53.
a)

n = 10

b)

n = 1

c)

n = 2

d)

n = -2

54.
a)

a = -5

b)

a = 5

c)

a = -3.4

d)

a = -125

55.

Find the missing number:

412 - (a)   = 197

Know how to check your answer!

56.

Find the missing number:

8 · (a)   = 208

Know how to check your answer!

57.

At the beginning of the day, Mark has $710 in his checking account. During the day, he spends $45 at 3 different stores, then he deposits $80. If those were his only transactions, what is his checking account balance at the end of the day?

(a)  

58.

Three friends are going to go on vacation together during the summer and split the cost evenly. They figure it will cost $3000 so they start shoveling driveways/sidewalks together and earn $120 each week for the 4 weeks in January. How much more will each friend need to save, individually, before their vacation?

(a)  

59.

48 is a ______ of 8.

a)

factor

b)

multiple

60.

9 is a _____ of 180.

a)

factor

b)

multiple

61.

38⋅1621⋅712=?\frac{3}{8}\cdot\frac{16}{21}\cdot\frac{7}{12}=?

a)

34\frac{3}{4}

b)

76\frac{7}{6}

c)

118\frac{1}{18}

d)

16\frac{1}{6}

62.

Simplify:  −(−(−(−3)))Simplify:\ \ -\left(-\left(-\left(-3\right)\right)\right)

a)

3

b)

-3

63.

Simplify:   −∣2−10∣Simplify:\ \ \ -\left|2-10\right|

a)

8

b)

-8

c)

12

d)

-12

64.

Simplify:  −12+(−7)−5−(−11)+4Simplify:\ \ -12+\left(-7\right)-5-\left(-11\right)+4

a)

-9

b)

-31

c)

9

d)

-17

65.

Joe has 5 fewer pets than Steve. If they have 19 pets combined, how many do each of them have?

(Know how to set up the problem using algebra!)

a)

Joe has 12 pets.

Steve has 7 pets.

b)

Joe has 7 pets.

Steve has 12 pets.

c)

Joe has 24 pets.

Steve has 5 pets.

d)

Joe has 29 pets.

Steve has 24 pets.