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Worksheets

Expressions Quiz (Study Guide)

Total questions: 75

Worksheet time: 3hrs 36mins

Name
Class
Date
1.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

2.

Simplify: 4q + 4t + 3q + t

a)

12tq

b)

3q + 4t

c)

7q + 5t

d)

Can't be simplified

3.

Simplify: 10w + 3d + 3w + d

a)

13w + 4d

b)

17wd

c)

13w + 3d

d)

Can't be simplified

4.

Simplify: m + m + m + m

a)

4m

b)

m4

c)

m

d)

Can't be simplified

5.
3 + 5x + 4
a)
5x ∙ 7 
b)
12x 
c)
35x 
d)
5x + 7 
6.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
7.
How many terms are in the expression
3x + 2y + z
a)
5
b)
2
c)
4
d)
3
8.

A number by itself with no variable attached is called a  _____.

a)
coefficient
b)
constant
c)
variable
d)
term
9.

The number in front of a variable is the _____.

a)
term
b)
constant
c)
coefficient
d)
variable
10.

What is the coefficient in the algebraic expression?

a)

4x

b)
4
c)
5
d)
9
11.

Which expression is equivalent to

v + v + v + v + v?

a)

5v

b)

v5

c)

v + 5

12.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
13.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
14.

Simplify: 8x2 + 5x + 2y + x

a)

14x + 2y

b)

13x2+ 2y + x

c)

8x2 + 6x + 2y

d)

8x2 + 7xy + x

15.
Simplify and combine like terms:  -6k +7k
a)
K
b)

-K

c)
13K
d)
-13K
16.
Which expression has 4 terms?
a)
3 + 5t - 24d
b)
15r + 10s - 12t + 4
c)
9stp - 3
d)
x/4 - 8p
17.
3x-5x
a)
2x
b)
8x
c)
-2x
d)
15x2
18.

Simplify: 6x + 12x + 3 y

a)

21x

b)

18x + 3y

c)

72x + 3y

d)

6x + 15y

19.
-r -10r
a)
11r
b)
-11r
c)
9r
d)
-11
20.
Like terms have the same _____ and the same _____.
a)
variables and numbers
b)
signs and numbers
c)
variables and exponents
d)
variables and signs
21.
How many terms are in the expression
3x + 2y + z
a)
5
b)
2
c)
4
d)
3
22.

A number by itself with no variable attached is called a  _____.

a)
coefficient
b)
constant
c)
variable
d)
term
23.

The number in front of a variable is the _____.

a)
term
b)
constant
c)
coefficient
d)
variable
24.
Which expression has 4 terms?
a)
3 + 5t - 24d
b)
15r + 10s - 12t + 4
c)
9stp - 3
d)
x/4 - 8p
25.

What is the coefficient in the algebraic expression?

a)

4x

b)
4
c)
5
d)
9
26.

Which expression is equivalent to

v + v + v + v + v?

a)

5v

b)

v5

c)

v + 5

27.
Simplify and combine like terms:  -6k +7k
a)
K
b)

-K

c)
13K
d)
-13K
28.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

29.

Simplify: 4q + 4t + 3q + t

a)

12tq

b)

3q + 4t

c)

7q + 5t

d)

Can't be simplified

30.
Simplify by combining like terms.
m + 9 - 4m
a)
5m
b)
m + 5m
c)
-3m + 9
d)
4m
31.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
32.

Which expression is equivalent to  8c + 6 − 3c − 2?8c\ +\ 6\ -\ 3c\ -\ 2?  

a)

5c+45c+4  

b)

5c+85c+8  

c)

11c+411c+4  

d)

11c+811c+8  

33.

Simplify: m + m + m + m

a)

4m

b)

m4

c)

m

d)

Can't be simplified

34.

2(4x - 7)

a)

8x + -14

b)

8x-7

c)

6x+7

d)

8x+14

35.
2(4 + 9w) 
a)
8+9w
b)
2+9
c)
8+18w
d)
2+9w
36.

-4(-4d + 5)

a)

-16d+20

b)

16+20

c)

16d+ -20

d)

16s-20

37.

-3(2c - 5)

a)

-6c - 15

b)

-6c + 15

c)

6c + 15

d)

6c - 15

38.
-4(k - 7)
a)
-4k + 28
b)
-4k - 28
c)
4k + 28
d)
4k - 28
39.

-1(3v - 8)

a)

-3v-8

b)

3v-8

c)

-3v+8

d)

6v+8

40.

4(p - 6)

a)

-4p - 24

b)

4p + 24

c)

4p + 24

d)

4p + -24

41.

Simplify 5(2 - 7n)

a)

52 - 7n

b)

10 - 7n

c)

10 + -35n

d)

10 + 35n

42.

Distribute

9(x - 5)

a)

9x + -45

b)

9x + 5

c)

9x + 14

d)

9x + 45

43.

Distribute

10(x - 20)

a)

10x + 20

b)

10x + -200

c)

10x + 30

d)

10x - 20

44.
Distribute
-15( 2x - 2)
a)
-15 + 2x + 2
b)
-30x + 30
c)
-30x - 30
d)
-15x + 2
45.

-8(6x + 3)

a)

48X+3

b)

-48X-3

c)

14x+3

d)

-48x + -24

46.
4(5+3g)
a)
9+8g
b)
20g+12
c)
20+12g
47.
Use the distributive property to write an equivalent expression.
-8(z - 5)
a)
-8z - 40
b)
-8z + 40
c)
-8z - 13
d)
-8z - 13
48.

-2(3m + 9)

a)

-6m + 7

b)

-6m - 7

c)

-6m + 18

d)

-6m - 18

49.
Which of the following is equivalent to
9(5c + 4)?
a)
45c + 36
b)
81c
c)
45c + 4
d)
49c
50.
Simplify:
7(y - 3)
a)
7y - 21
b)
7y - 3
c)
7y + 3
d)
7y + 21
51.
Which of the following expressions is equivalent to 10x - 8?
a)
2(5x - 8)
b)
10(x - 8)
c)
8(2x - 1)
d)
2(5x - 4)
52.
3(4+3r)
a)
12+9r
b)
7+6r
c)
12+5r
53.
4(8n+2)
a)
4n+2
b)
12n+6
c)
32n+8
54.

2(4x - 7)

a)

8x + -14

b)

8x-7

c)

6x+7

d)

8x+14

55.
2(4 + 9w) 
a)
8+9w
b)
2+9
c)
8+18w
d)
2+9w
56.

-4(-4d + 5)

a)

-16d+20

b)

16+20

c)

16d+ -20

d)

16s-20

57.

-3(2c - 5)

a)

-6c - 15

b)

-6c + 15

c)

6c + 15

d)

6c - 15

58.
-4(k - 7)
a)
-4k + 28
b)
-4k - 28
c)
4k + 28
d)
4k - 28
59.

-1(3v - 8)

a)

-3v-8

b)

3v-8

c)

-3v+8

d)

6v+8

60.

4(p - 6)

a)

-4p - 24

b)

4p + 24

c)

4p + 24

d)

4p + -24

61.

4(-p - 6)

a)

4p - 24

b)

4p + 24

c)

-4p + 24

d)

-4p + -24

62.

Simplify 5(2 - 7n)

a)

52 - 7n

b)

10 - 7n

c)

10 + -35n

d)

10 + 35n

63.

Distribute

9(x - 5)

a)

9x + -45

b)

9x + 5

c)

9x + 14

d)

9x + 45

64.

Distribute

10(x - 20)

a)

10x + 20

b)

10x + -200

c)

10x + 30

d)

10x - 20

65.
Distribute
-15( 2x - 2)
a)
-15 + 2x + 2
b)
-30x + 30
c)
-30x - 30
d)
-15x + 2
66.

-8(6x + 3)

a)

48X+3

b)

-48X-3

c)

14x+3

d)

-48x + -24

67.
4(5+3g)
a)
9+8g
b)
20g+12
c)
20+12g
68.
½(8x + 2)
a)
4x + 2
b)
4x + 1
c)
16x + 4
d)
16x - 4
69.
Use the distributive property to write an equivalent expression.
-8(z - 5)
a)
-8z - 40
b)
-8z + 40
c)
-8z - 13
d)
-8z - 13
70.

-2(3m + 9)

a)

-6m + 7

b)

-6m - 7

c)

-6m + 18

d)

-6m - 18

71.
Which of the following is equivalent to
9(5c + 4)?
a)
45c + 36
b)
81c
c)
45c + 4
d)
49c
72.
Simplify:
7(y - 3)
a)
7y - 21
b)
7y - 3
c)
7y + 3
d)
7y + 21
73.
Which of the following expressions is equivalent to 10x - 8?
a)
2(5x - 8)
b)
10(x - 8)
c)
8(2x - 1)
d)
2(5x - 4)
74.
3(4+3r)
a)
12+9r
b)
7+6r
c)
12+5r
75.
4(8n+2)
a)
4n+2
b)
12n+6
c)
32n+8