wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

1.1 Comparing Expressions

Total questions: 60

Worksheet time: 2hrs 0mins

Name
Class
Date
1.
Simplify by combining like terms.
m + 9 - 4m
a)
5m
b)
m + 5m
c)
-3m + 9
d)
4m
2.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
3.

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  

4.
Simplify by combining like terms.
-14w + 8 + 9w - 2
a)
23w + 6
b)
-23w + 6
c)
-6w + 7
d)
-5w + 6
5.

Combine Like Terms

30 + 80k + 9k + 27

a)

57 + 89k

b)

57 + 720k

c)

30 + 80k

6.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

7.

Simplify the following expression by combining like terms:

-10x + 15 - 3x + 2

a)

13x2+1713x^2+17  

b)

13x +17-13x\ +17  

c)

13x+13-13x+13  

d)

-7x+17

8.

A variable can be _______?

a)

Any number

b)

Any letter of the alphabet

c)

only X

d)

only 1

9.

Simplify: 5 + 11y + 2

a)

5 + 11y

b)

18y

c)

11y + 7

d)

11y + 3

10.

Simplify: 15x + 19 + 2x + 4

a)

17x + 15

b)

17x + 23

c)

30x + 15

d)

13x + 15

11.

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

a)
coefficient
b)
constant
c)
variable
d)
term
12.

Simplify the expression completely.

3z+9+5z43z+9+5z-4  

a)

8z+58z+5  

b)

8z+138z+13  

c)

13z13z  

d)

21z21z  

13.

Simplify the expression completely.

t+2+6tt+2+6t  

a)

9t9t  

b)

12t12t  

c)

7t+27t+2  

d)

18t18t  

14.

Combine like terms to simplify the expression: 8 + 5x - 3 - 2x

a)

-3x2 - 11

b)

3x2 + 5

c)

11 - 3x

d)

5 + 3x

15.

Combine like terms to simplify the expression: 3r - 2r + 5

a)

5r + 5

b)

r + 5

c)

5r - 5

d)

5

16.
y + x + y + y + x 
a)
2 + 3 
b)
x + y 
c)
2x + 3y 
d)
5xy 
17.
2r + 2 + 5r - 2 + r 
a)
8r 
b)
8r - 4 
c)
12r 
d)
7r + 4 + r 
18.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
19.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
20.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
21.
-2x + 11 + 6x
a)
8x+11
b)
4x +11
c)
4x
d)
15x
22.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
23.
Simplify the following expression:
-10x + 15 - 3x + 2
a)
13x2 + 17
b)
-13x2 + 13
c)
-13x + 17
d)
-7x + 17
24.
5x + 3y + 5 + 4x + 3y + y + 8
a)
9x + 7y + 13
b)
6x + 2y + 2
c)
25x + 2y + 3
d)
x + 7y + 12
25.

Simplify by combining like terms:

3x-5x

a)

2x

b)

8x

c)

-2x

d)

15x2

26.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

27.

6 (x + y + 7)

a)

6x + 6y + 42

b)

12xy + 42

c)

6x + 6y + 7

d)

6x6y + 42

28.
Which of the following is equivalent to 4(2x + 3)
a)
8x + 12
b)
8x + 3
c)
8x - 12
d)
20x
29.
Which of the following is equivalent to 2(c - 8)?
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
30.
a)
6x+6
b)
5x+18
c)
6x+12
d)
6x+18
31.

What do the parentheses tell you to do?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

32.
3(3x +1)
a)
9x +3
b)
3x + 3
c)
12x
d)
9x + 1
33.
2(4 + 9w) 
a)
6+9w
b)
8+2w
c)
4+9w
d)
8+18w
34.
-3(2c - 5)
a)
-6c - 15
b)
-6c + 15
c)
6c + 15
d)
6c - 15
35.
What does it mean to distribute?
a)
To multiply the numbers inside the parentheses by the number on the outside.
b)
To add all of the numbers together.
c)
To do the order of operations.
36.

Simplify the expression by using the Distributive Property:


3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

37.

Simplify the expression by using the Distributive Property:


-4(k - 7)

a)

-4k + 28

b)

-4k - 28

c)

4k + 28

d)

4k - 28

38.

Simplify the expression by using the Distributive Property:


9(5c + 4)?

a)

45c + 36

b)

81c

c)

45c + 4

d)

49c

39.

Simplify the expression by using the Distributive Property:


8(4b - 5)

a)

32b + 40

b)

32b - 40

c)

32(b - 40)

d)

84b - 85

40.

Simplify the expression by using the Distributive Property:


8(4b - 5)

a)

32b + 40

b)

32b - 40

c)

32(b - 40)

d)

84b - 85

41.

Simplify the expression by using the Distributive Property:


2(3v - 8)

a)

6v-16

b)

6v-8

c)

6v-6

d)

6v+8

42.

Simplify the expression by using the Distributive Property:


-2(3m + 9)

a)

-6m + 7

b)

-6m - 7

c)

-6m + 18

d)

-6m - 18

43.

Simplify the expression by using the Distributive Property:


9(x - 5)

a)

9x + -45

b)

9x + 5

c)

9x + 14

d)

9x + 45

44.

Simplify the expression by using the Distributive Property:


-8(6x + 3)

a)

48X+3

b)

-48X-3

c)

14x+3

d)

-48x + -24

45.

Simplify the expression by using the Distributive Property:


8(2x + 7)

a)

16x + 7

b)

16x + 56

c)

16x + 15

d)

8x + 7

46.
 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
47.
-r -10r
a)
11r
b)
-11r
c)
9r
d)
-11
48.
3x-5x
a)
2x
b)
8x
c)
-2x
d)
15x2
49.
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
50.
 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
51.
n -10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n -13
52.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
53.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
54.
-3(2c - 5)
a)
-6c - 15
b)
-6c + 15
c)
6c + 15
d)
6c - 15
55.
-4(k - 7)
a)
-4k + 28
b)
-4k - 28
c)
4k + 28
d)
4k - 28
56.
(b + 8)5
a)
b + 40
b)
5b - 40
c)
5b + 40
d)
5b + 8
57.
10(8-2x)
a)
80-20x
b)
80+20x
58.
Variable terms and constant terms can be put together. 
a)
True 
b)
False
59.
"x" terms in an expression and "y" terms in an expression can added or subtracted together. 
a)
True
b)
False
60.
In the distributive property, you are multiplying what is outside of the parentheses by what is on the inside of the parentheses. 
a)
True
b)
False