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Review Of Distributive Property, Exponents & Simplifying

Total questions: 96

Worksheet time: 8hrs 0mins

Name
Class
Date
1.

Combine Like Terms:

3x + 5 + 2x - 7

a)

5x + 2

b)

5x - 2

c)

5x + 12

d)

1x - 2

2.

Combine Like Terms:

3a + 4a + 9

a)

7a

b)

16a

c)

7a + 9

d)

1a + 9

3.

Combine Like Terms:

6b + 5 - 2b + 6

a)

4b + 11

b)

8b + 11

c)

4b + 1

d)

8b + 1

4.

Combine Like Terms:

12y - 8 + 3y - 2

a)

9y + 6

b)

9y - 10

c)

15y + 6

d)

15y - 10

5.

Combine Like Terms:

-6c + 2c - 4 + 8

a)

-4c + 4

b)

-4c - 4

c)

8c + 12

d)

4c + 4

6.

Distribute:

2(3x + 4)

a)

3x + 8

b)

6x + 4

c)

6x + 8

d)

6x - 8

7.

Distribute:

4 (3x - 5)

a)

12x - 20

b)

12x + 20

c)

12x - 5

d)

12x + 5

8.

Distribute:

2(x + 7)

a)

2x - 14

b)

2x + 14

c)

2x + 7

d)

2x - 7

9.

Distribute:

5(3x - 8)

a)

15x - 8

b)

15x + 8

c)

15x + 40

d)

15x - 40

10.

Distribute:

7(3x - 4)

a)

21x - 28

b)

21x - 4

c)

21x + 28

d)

21x + 4

11.

Distribute and then Combine Like Terms:

2(5x + 6) + 7

a)

10x + 12

b)

10x + 7

c)

10x + 19

d)

5x + 19

12.

Distribute and then Combine Like Terms:

3(4x + 2) + 5x

a)

12x - 6

b)

17x - 6

c)

12x + 6

d)

17x + 2

13.

Distribute and then Combine Like Terms:

5(2x - 3) + 12

a)

10x - 15

b)

10x + 9

c)

10x - 3

d)

10x + 3

14.

Distribute and then Combine Like Terms:

2(4x + 7) + 3x

a)

8x + 14

b)

8x + 7

c)

11x + 7

d)

11x + 14

15.
What operation do you use with exponents?
a)
addition
b)
subtraction
c)
multiplication
d)
division
16.
Which number is the EXPONENT?
42 = 16
a)
4
b)
2
c)
16
d)
not here
17.
Which number is the BASE?
2= 8
a)
2
b)
3
c)
8
d)
not here
18.
How do you write 2 x 2 x 2 x 2 with an exponent?
a)
42
b)
24
c)
22
19.
Any number written to the 0 power is always 1
Example: 80=1
a)
True
b)
False
20.

Which is larger?

15 or 18

a)

15

b)

18

c)

They are equal

21.
54=
a)
20
b)
625
c)
1024
22.
Find the equivalent expression.

9 x 9 x 9 x 9 x 9
a)
95
b)
915
c)
9 x 5
d)
9 + 9 + 9 + 9+ 9
23.
What is 33?
a)
6
b)
9
c)
27
d)
54
24.

Which is equivalent to  (12)3\left(\frac{1}{2}\right)^3   

a)

 16\frac{1}{6}  

b)

 36\frac{3}{6} 

c)

 18\frac{1}{8}  

d)

 1121\frac{1}{2}  

25.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
26.

Which is equivalent to (5.2)2

a)

10.4

b)

2704

c)

27.04

d)

270.4

27.
Which is equivalent to 4 x 4 x 4 x 4 x 4
a)
46
b)
54
c)
44
d)
45
28.
The exponent equivalent of 20 x 20 x 20 is:
a)
20 x 3
b)
203
c)
320
d)
2000
29.
How would you represent 8⁶ ?
a)
8 x 6
b)
8 x 8 x 6
c)
8 x 8 x 8 x 8 x 8 x 8
d)
6 x 6 x 6 x 6 x 6 x 6 x 6 x 6
30.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 ?
a)
75
b)
76
c)
67
d)
77
31.

Find the square of 16

a)

256

b)

32

c)

4

d)

2

32.

Find the square of 0.23

a)

0.46

b)

4.6

c)

5.29

d)

0.0529

33.

Find the square of  34\frac{3}{4}  

a)

 68\frac{6}{8}  

b)

 54\frac{5}{4}  

c)

 12\frac{1}{2}  

d)

 916\frac{9}{16}  

34.

Math class is my favorite

a)

Yes

b)

No

35.

What is the biggest number that divides into BOTH 2 and 4?

a)

1

b)

2

c)

4

36.

Simplify

a)

12\frac{1}{2}

b)

14\frac{1}{4}

c)

25\frac{2}{5}

d)

34\frac{3}{4}

37.

What is the biggest number that will divide into BOTH 5 and 15?

a)

1

b)

3

c)

5

d)

15

38.

Simplify

a)

1/5

b)

1/3

c)

3/5

d)

2/3

39.

What is the biggest number that will divide into BOTH 2 and 8?

a)

1

b)

2

c)

3

d)

5

40.

Simplify

a)

1/4

b)

1/3

c)

1/2

d)

1/8

41.

What is the biggest number that will divide into BOTH 9 and 18?

a)

3

b)

6

c)

9

d)

1

42.

Simplify

a)

1/2

b)

3/6

c)

9/18

d)

5/10

43.

What is the biggest number that divides into BOTH 6 and 9?

a)

1

b)

3

c)

6

d)

2

44.

Simplify

a)

2/3

b)

2/4

c)

3/3

d)

2

45.

What is the biggest number that will divide into both 14 and 35?

a)

2

b)

5

c)

7

d)

1

46.

Simplify

a)

 57\frac{5}{7}  

b)

 25\frac{2}{5}  

c)

 34\frac{3}{4}  

d)

 35\frac{3}{5}  

47.

What is the biggest number that divides into BOTH 12 and 16?

a)

2

b)

4

c)

6

d)

8

48.

Simplify

a)

1/4

b)

6/10

c)

4/4

d)

3/4

49.

What is the biggest number that will divide into BOTH 7 and 10?

a)

7

b)

10

c)

1

50.

Simplify

a)

35\frac{3}{5}

b)

17\frac{1}{7}

c)

It is already in simplest form

51.

What is the biggest number that divides into BOTH 3 and 9?

a)

1

b)

2

c)

3

d)

9

52.

Simplify

a)

 12\frac{1}{2}  

b)

 23\frac{2}{3}  

c)

 13\frac{1}{3}  

d)

 14\frac{1}{4}  

53.

What is the biggest number that divides into both 9 and 12?

a)

1

b)

2

c)

3

d)

4

54.

Simplify

a)

12\frac{1}{2}

b)

23\frac{2}{3}

c)

34\frac{3}{4}

d)

45\frac{4}{5}

55.
Simplify  6/42
a)
2/5
b)
7
c)
1/7
d)
3/21
56.
Simplify  9/36
a)
4
b)
3/12
c)
1/4
d)
12
57.
Simplify 
a)
1/4
b)
1/24
c)
6/4
d)
1/18
58.
Simplify
a)
1/5
b)
1/3
c)
3/5
d)
2/3
59.
Simplify 5/20
a)
5/20
b)
1/4
c)
1/2
d)
2/3
60.

 412\frac{4}{12} 

a)

 12\frac{1}{2} 

b)

 13\frac{1}{3} 

c)

 16\frac{1}{6} 

d)

 112\frac{1}{12} 

61.

 812\frac{8}{12} 

a)

 12\frac{1}{2} 

b)

 13\frac{1}{3} 

c)

 23\frac{2}{3} 

d)

 16\frac{1}{6} 

62.

Simplify

420\frac{4}{20}  =



(a)  

63.

Simplify

1421\frac{14}{21}  =



(a)  

64.

Simplify

1230\frac{12}{30}  =



(a)  

65.

Simplify

921\frac{9}{21}  =



(a)  

66.
Simplify 8/12
a)
2/3
b)
3/4
c)
1/2
d)
4/6
67.

 612\frac{6}{12}  

a)

 12\frac{1}{2}  

b)

 13\frac{1}{3}  

c)

 14\frac{1}{4}  

d)

 15\frac{1}{5}  

68.

 24\frac{2}{4}  

a)

 12\frac{1}{2}  

b)

 13\frac{1}{3}  

c)

 14\frac{1}{4}  

d)

 15\frac{1}{5}  

69.

 36\frac{3}{6}  

a)

 12\frac{1}{2}  

b)

 13\frac{1}{3}  

c)

 14\frac{1}{4}  

d)

 16\frac{1}{6}  

70.

 48\frac{4}{8}  

a)

 12\frac{1}{2}  

b)

 13\frac{1}{3}  

c)

 14\frac{1}{4}  

d)

 16\frac{1}{6}  

71.

 510\frac{5}{10}  

a)

 12\frac{1}{2}  

b)

 14\frac{1}{4}  

c)

 16\frac{1}{6}  

d)

 110\frac{1}{10}  

72.

 26\frac{2}{6}  

a)

 12\frac{1}{2}  

b)

 13\frac{1}{3}  

c)

 14\frac{1}{4}  

d)

 15\frac{1}{5}  

73.

 312\frac{3}{12}  

a)

 12\frac{1}{2}  

b)

 13\frac{1}{3}  

c)

 14\frac{1}{4}  

d)

 16\frac{1}{6}  

74.

 22\frac{2}{2}  

a)

 12\frac{1}{2}  

b)

 14\frac{1}{4}  

c)

 16\frac{1}{6}  

d)

 11  

75.
Simplify  6/42
a)
2/5
b)
7
c)
1/7
d)
3/21
76.
Simplify  9/36
a)
4
b)
3/12
c)
1/4
d)
12
77.
Simplify 
a)
1/4
b)
1/24
c)
6/4
d)
1/18
78.
Simplify
a)
1/5
b)
1/3
c)
3/5
d)
2/3
79.
Simplify 5/20
a)
5/20
b)
1/4
c)
1/2
d)
2/3
80.

 412\frac{4}{12} 

a)

 12\frac{1}{2} 

b)

 13\frac{1}{3} 

c)

 16\frac{1}{6} 

d)

 112\frac{1}{12} 

81.

 812\frac{8}{12} 

a)

 12\frac{1}{2} 

b)

 13\frac{1}{3} 

c)

 23\frac{2}{3} 

d)

 16\frac{1}{6} 

82.

Simplify

420\frac{4}{20}  =



(a)  

83.

Simplify

1421\frac{14}{21}  =



(a)  

84.

Simplify

1230\frac{12}{30}  =



(a)  

85.

Simplify

921\frac{9}{21}  =



(a)  

86.
Simplify 8/12
a)
2/3
b)
3/4
c)
1/2
d)
4/6
87.

 612\frac{6}{12}  

a)

 12\frac{1}{2}  

b)

 13\frac{1}{3}  

c)

 14\frac{1}{4}  

d)

 15\frac{1}{5}  

88.

 24\frac{2}{4}  

a)

 12\frac{1}{2}  

b)

 13\frac{1}{3}  

c)

 14\frac{1}{4}  

d)

 15\frac{1}{5}  

89.

 36\frac{3}{6}  

a)

 12\frac{1}{2}  

b)

 13\frac{1}{3}  

c)

 14\frac{1}{4}  

d)

 16\frac{1}{6}  

90.

 48\frac{4}{8}  

a)

 12\frac{1}{2}  

b)

 13\frac{1}{3}  

c)

 14\frac{1}{4}  

d)

 16\frac{1}{6}  

91.

 510\frac{5}{10}  

a)

 12\frac{1}{2}  

b)

 14\frac{1}{4}  

c)

 16\frac{1}{6}  

d)

 110\frac{1}{10}  

92.

 26\frac{2}{6}  

a)

 12\frac{1}{2}  

b)

 13\frac{1}{3}  

c)

 14\frac{1}{4}  

d)

 15\frac{1}{5}  

93.

 312\frac{3}{12}  

a)

 12\frac{1}{2}  

b)

 13\frac{1}{3}  

c)

 14\frac{1}{4}  

d)

 16\frac{1}{6}  

94.

 22\frac{2}{2}  

a)

 12\frac{1}{2}  

b)

 14\frac{1}{4}  

c)

 16\frac{1}{6}  

d)

 11  

95.
A concession stand sells the following items: small popcorn for $2.50, medium popcorn for $2.75, large popcorn for $3.50, small drink for $2.00, medium drink for $3.00, and large drink for $3.50. What would be the total cost for a family of four if each person ordered one medium popcorn and one large drink?
a)
$24.00
b)
$26.00
c)
$25.00
d)
$28.00
96.

Which of the following are like terms?

a)

3x, 5

b)

3x, 5x

c)

3x, 5y

d)

3, 5x