WorksheetsAlgebraic Expression Simplification
Total questions: 23
Worksheet time: 45mins
Name
Class
Date
1.
3a + 4b + 6a + 2b
a)
8a +9b
b)
6a + 9b
c)
7a + 8b
d)
9a + 6b
2.
7a + 5b - 2a - 4b
a)
9a + b
b)
5a + b
c)
11a + 5b
d)
-9a - 9b
3.
12a - 4b -7a + 2b
a)
14a +5b
b)
5a - 2b
c)
7a - 5b
d)
12a - 4b
4.
Simplify the algebraic fraction.
a)
2pq
b)
2/pq
c)
pq/2
d)
p/2q
5.
Simplify the algebraic fraction.
a)
16/p2q
b)
16p2q
c)
p2q/16
d)
16q/p2
6.
Three times a number increased by nine
a)
3h-9
b)
3(h-9)
c)
3(h+9)
d)
3h+9
7.
What are the variables of 7x+6y-9
a)
6,7
b)
9
c)
6y, 7x
d)
x, y
8.
Expand -5(4v + 3)
a)
20v - 15
b)
-54v - 53
c)
-20v + 15
d)
-20v - 15
9.
Expand and Simplify 4(x+2)-3(x+1)
a)
x+3
b)
7x+1
c)
x+5
d)
5x+11
10.
Simplify the expression:
6 + 2(7x - 3)
6 + 2(7x - 3)
a)
12 + 7x
b)
14x
c)
14x + 3
d)
9 + 7x
11.
Simplify the following equation:
x - y - z + 4 - x + 2z - y - 3
a)
-2y + z +1
b)
-2y - z + 1
c)
-2x - 2y + z + 1
d)
-2x - 2y - z + 1
12.
Simplify the Expression:
3(x−4) −5x
a)
3x - 4 - 5x
b)
-2x - 12
c)
-2x - 4
d)
3x - 1 - 5x
13.
True or False - This is an example of Combining Like Terms:
3x(4 − y) = 3x⋅4 −3x⋅y = 12x − 3xy
a)
True, and the answer is correct
b)
False, but the answer is correct
c)
True, but the answer is not correct
d)
False, and the answer is not correct
14.
Which of the following is equivalent to 5(2x + 6)?
a)
10x + 30
b)
10x + 6
c)
40x
d)
2x + 30
15.
Find an equivalent expression for the given expression: 36x + 24
a)
4(9x + 7)
b)
4(9x + 8)
c)
2(18x + 12)
d)
12(3x + 3)
16.
Find an equivalent expression for the given expression: 36x + 24
a)
4(9x + 7)
b)
4(9x + 8)
c)
2(18x + 12)
d)
12(3x + 3)
17.
Expand and Simplify 4(x+2)-3(x+1)
a)
x+3
b)
7x+1
c)
x+5
d)
5x+11
18.
Expand and Simplify 2(x+2)-2(x+3)
a)
2
b)
4x+8
c)
-2
d)
4x-6
19.
Simplify the expression:
6 + 2(7x - 3)
6 + 2(7x - 3)
a)
12 + 7x
b)
14x
c)
14x + 3
d)
9 + 7x
20.
Evaluate when a = 15:
2(a - 5) + 2
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
21.
What would be the second step in this problem? (3 + 4) 9 + 3 =
a)
parenthesis
b)
multiplication
c)
addition
d)
exponent
22.
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
23.
2(3v - 8)
a)
6v-16
b)
6v-8
c)
6v-6
d)
6v+8
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