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Combining Like Terms and Distributive Property

Total questions: 22

Worksheet time: 40mins

Name
Class
Date
1.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
2.
The expression X+X+X+X+X is equivalent (equal) to which of the following expressions?
a)
X + 5 
b)
5X
c)
X+X+X+X+X+5
d)
X to the 5th power 
3.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
4.
The expression y + x + y + y + x is equivalent (equal) to which of the following expressions?
a)
2 + 3 
b)
x + y 
c)
2x + 3y 
d)
5xy 
5.
Simplify using the distributive property.  
5(2 - 7n)
a)
52 - 7n
b)
10 - 7n
c)
10 - 35n
d)
10 + 35n
6.
Simplify using the distributive property:
9(2g +  3)
a)
18g + 27
b)
18g - 27
c)
-18g - 27
d)
18g - 18
7.
Which of the following is equivalent to
8(5f - 7) + 3f ?
a)
43f - 7
b)
-13f
c)
43f - 56
d)
40f -7 + 3f
8.
In the expression  x - 53 - 4x - w + 6x + 8  , the constants are
a)
53, 8
b)
1,-4, -1, 6
c)
x, w
d)
-53, 8
9.
Simplify the expression: 2(x + 4) + 3(2x - 5)
**First distribute**
a)
8x - 7
b)
8x + 4
c)
5x + 23
d)
-5x + 20
10.
In the expression  x - 53 - 4x - w + 6x + 8  , the coefficient on the term "x" is
a)
0
b)
There is no coefficient
c)
1
d)
-1
11.
In the expression  x - 53 - 4x - w + 6x + 8  , -53 is a 
a)
Coefficient
b)
Constant
c)
Variable 
d)
None of these
12.
In the expression  x - 53 - 4x - w + 6x + 8  , the variables are
a)
x, w, 8
b)
-53, 8
c)
x, w
d)
x, -4x, 6x, -w
13.
How many terms are in this expression?
2b - 8
a)
1
b)
2
c)
3
14.
How many terms are in this expression?
3y
a)
1
b)
2
15.
Which expression represents the perimeter of the triangle?
a)
4x + 4y + 5
b)
6xy + 7
c)
6x + 2y + 5
d)
10xy + x + 2y
16.
In the expression  x - 53 - 4x - w + 6x + 8  , -4x is a 
a)
Product
b)
Variable
c)
Coefficient
d)
Constant
17.
Which expression represents the perimeter?
a)
3x + 3
b)
4x + 3
c)
4x + 6
d)
6x + 6
18.
Which expression represents the perimeter of the triangle?
a)
8xy + 3
b)
5x + y + 3
c)
5x + 4y + 3
d)
6x + 3y + 3
19.
evaluate a + 6 when a = 2
a)
2
b)
6
c)
8
d)
12
20.
Which word phrase matches the expression:
32 - 5 + z
a)
thirty-two less than five more than z
b)
negative five plus z minus thirty-two
c)
five plus z minus thirty-two
d)
thirty-two subtract five plus z
21.
Three times the sum of 2 and e. 
a)
3e+2
b)
3(e-2)
c)
3(e+2)
d)
2e+3
22.
The product of five and w
a)
5+w
b)
5w
c)
w-5
d)
5-w