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WorksheetsCombining Like Terms and Distributive Property
Total questions: 54
Worksheet time: 54mins
Name
Class
Date
1.
Simplify by combining like terms:
5a + 2b - 3a + 4
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
2.
3x-5x
a)
2x
b)
8x
c)
-2x
d)
15x2
3.
-r -10r
a)
11r
b)
-11r
c)
9r
d)
-11
4.
-6k + 7k=
a)
k
b)
-k
c)
12k
d)
-12k
5.
n -10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n -13
6.
-4x - 10x
a)
-14
b)
6x
c)
-6x
d)
-14x
7.
Combine like terms
3x + 2x + 3y - 7y
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
8.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
9.
a + a + a + a
a)
a + 4
b)
4a
c)
a to the fourth power
d)
4a + 4
10.
y + x + y + y + x
a)
2 + 3
b)
x + y
c)
2x + 3y
d)
5xy
11.
2r + 2 + 5r - 2 + r
a)
8r
b)
8r - 4
c)
12r
d)
7r + 4 + r
12.
6x + 1 + 7x
a)
13x - 1
b)
14x
c)
7x + 6x + 1
d)
13x + 1
13.
3 + 12c - 4c
a)
16c + 3
b)
8c + 3
c)
5c
d)
8c
14.
5z - 4z
a)
1z
b)
9z
c)
20z
d)
0
15.
a)
10x+16
b)
12x+18
c)
16x+18
d)
15x+18
16.
a)
24z+8
b)
22z+6
c)
23z+8
d)
24z+2
17.
a)
5x+5y+18
b)
6x+6y+10
c)
5x+2y+18
d)
5x +6y+10
18.
a)
9x+6
b)
3x+4
c)
3x-4
d)
6x+4
19.
a)
13x+11
b)
2x-1
c)
x-1
d)
2x+1
20.
a)
x+y+1
b)
-15x-19y-11
c)
-x+y+1
d)
-x-y-1
21.
Simplify the following expression:
10x + 15 + 3x + 2
a)
13x2 + 17
b)
13x2 + 13
c)
13x + 17
d)
7x + 17
22.
2r + 2 + 5r + 2 + r
a)
7rr + 4
b)
8r + 4
c)
12r
d)
7r + 4 + r
23.
-2x + 11 + 6x
a)
8x+11
b)
4x +11
c)
4x
d)
15x
24.
3n+5p+2+n
a)
10np
b)
8np+2+n
c)
4n+5p+2
25.
Distribute
5(a + 6)
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
26.
Distribute
(b + 8)5
(b + 8)5
a)
b + 40
b)
5b - 40
c)
5b + 40
d)
5b + 8
27.
Distribute
-(2x - 7)
-(2x - 7)
a)
-2x + 7
b)
2x
c)
2x - 7
d)
9x
28.
Simplify
6(x + -2)
6(x + -2)
a)
6x + -2
b)
6x + -12
c)
4x
d)
6x - 2
29.
Simplify the expression:
3t + 7y + t + 3y
3t + 7y + t + 3y
a)
3t + 10y
b)
4t + 10y
c)
4t + 4y
30.
Simplify 5(2 - 7n)
a)
52 - 7n
b)
10 - 7n
c)
10 - 35n
d)
10 + 35n
31.
Simplify by combining like terms.
m + 9 - 4m
m + 9 - 4m
a)
5m
b)
m + 5m
c)
-3m + 9
d)
4m
32.
Simplify by combining like terms.
-8c + 12c - 17 + 21c - 4
-8c + 12c - 17 + 21c - 4
a)
25c - 21
b)
4c - 17
c)
21c + 25
d)
4c - 13
33.
-3(2x - 5)
a)
-6x - 15
b)
-6x + 15
c)
6x + 15
d)
6x - 15
34.
-9(2x - 3)
a)
18x + 27
b)
-18x + 27
c)
-18x - 27
d)
18x - 27
35.
Simplify the following expression:
-7x - 9x
-7x - 9x
a)
63x2
b)
-16x2
c)
-16x
d)
-15x
36.
Simplify the following expression:
-7x +5 (1 - 8x)
-7x +5 (1 - 8x)
a)
-33x + 5
b)
5 + 33x
c)
47x + 5
d)
5 - 47x
37.
Simplify 3(1 - 2x) + 7
a)
21 - 6x
b)
24 + 6x
c)
10 + 6x
d)
10 - 6x
38.
Simplify
-2x - 4(4x - 8)
-2x - 4(4x - 8)
a)
-16x - 2
b)
-18x + 32
c)
18x - 32
d)
-16x + 2
39.
3x + 3x + 3x - 3x - 3x - 3x - 3x =
a)
0
b)
3x
c)
-3x
d)
6x
40.
6x + 2y - 3x - y + 4y - 5y =
a)
3x
b)
9x + y
c)
6x + y
d)
3x + y
41.
Which expression is equivalent to:
d + d + d + 3 + 2
d + d + d + 3 + 2
a)
3d + 5
b)
d + 5
c)
2d + 7
d)
3d + 4
42.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
43.
4(-p - 6)
a)
4p - 24
b)
4p + 24
c)
-4p + 24
d)
-4p - 24
44.
-4(k - 7)
a)
-4k + 28
b)
-4k - 28
c)
4k + 28
d)
4k - 28
45.
Which of the following is equivalent to -8 - 9(5 + 2x)?
a)
-5 - 2x
b)
-18x - 53
c)
-53 + 18x
d)
18x - 53
46.
Which of the following is equivalent to 9(5c + 4)?
a)
45c + 36
b)
81c
c)
45c + 4
d)
49c
47.
Which of the following is equivalent to 8(5f - 7) + 3f ?
a)
43f - 7
b)
-13f
c)
43f - 56
d)
40f -7 + 3f
48.
Simplify the expression:
8(5 + w)
8(5 + w)
a)
40 + w
b)
40+8w
c)
85 + 8w
d)
13+8w
49.
Simplify the expression
11(9 + d)
11(9 + d)
a)
99 + d
b)
20 + 9d
c)
20 + d
d)
99+11d
50.
Simplify the expression:
3(2h + 3c + 2)
3(2h + 3c + 2)
a)
6h + 9c + 2
b)
6h + 9c + 6
c)
2h + 3c + 6
d)
5h + 6c + 5
51.
Simplify the expression:
4(5b - 6f - c)
4(5b - 6f - c)
a)
20b - 24f - 4c
b)
9b - 10f - 4c
c)
45b - 46f - 4c
d)
20b + 24f + 4c
52.
Simplify the expression:
6(x - 3 + 5y)
6(x - 3 + 5y)
a)
6x + 18 - 30y
b)
6x 18 30y
c)
6x + 18 + 30y
d)
6x - 18 + 30y
53.
Simplify the expression:
12(x - 7y + 2z)
12(x - 7y + 2z)
a)
12x + 84y - 24z
b)
x - 84y + 24z
c)
12x - 19y + 14z
d)
12x - 84y + 24z
54.
Simplify the expression:
13(5t - 12)
13(5t - 12)
a)
65t - 166
b)
70t - 136
c)
65t - 156
d)
63t - 144
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