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Worksheets

Generating Equivalent Expressions

Total questions: 19

Worksheet time: 38mins

Name
Class
Date
1.
Use the distributive property to find an equivalent expression: 5(2f + 4)
a)
10f + 4
b)
10f + 9
c)
10f + 20
d)
30f
2.
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)
3.
Choose the equivalent expression for the given expression: 2(r + y)
a)
3ry
b)
2r + y
c)
2r + 2y
d)
3r + 3y
4.
Use the given expression to answer the following question. 
5x + 9 - 4b
There are _________ terms in the given algebraic expression. 
a)
2
b)
3
c)
4
d)
5
5.
In the given expression, the 4 and the 8 are the ________________ in the expression.
4r + 8u
a)
variables
b)
terms
c)
coefficients
d)
exponents
6.
In the given expression, the v and the r are  called the __________________. 
15v - 13r
a)
terms
b)
exponents
c)
coefficients
d)
variables
7.
An algebraic expression is an expression that _______________________.
a)
contains only numbers
b)
contains numbers, variables, and operations
c)
contains only numbers and operations
d)
contains only variables
8.
Evaluate the given expression when a = 4 and b = 5. 
2a + 6b
a)
38
b)
34
c)
19
d)
89
9.
Which expression is equivalent to:
6m − m
a)
5m
b)
7m
c)
8m
d)
5
10.
Which expression is equivalent to:
(e + e) + e
a)
3e
b)
e + 3
c)
5e
d)
2e − e
11.
Which expression is equivalent to:
d + d + d + 3 + 2
a)
3d + 5
b)
d + 5
c)
2d + 7
d)
3d + 4
12.
Which expression is equivalent to:
4s + 4s
a)
8s
b)
8
c)
s
d)
9s
13.

Simplify the expression.


⅓(6y + 9)

a)

2y + 3

b)

2y + 9

c)

18y + 27

d)

3y + 2

14.
Which expression is equivalent to 5x - 30?
a)
5(x - 30)
b)
5(x - 6)
c)
5x(x - 6)
d)
x(5 - 30)
15.

6a + 3a =

a)

9a

b)

(a + a + a + a + a) + (a + a + a)

c)

9 + a

d)

6a + 3 + a

16.

9z - 2z =

a)

11z

b)

(9 x 2)z

c)

z + z + z + z + z + z + z + z + z + z + z

d)

(9 - 2)z

17.

4b + 9 + 3b =

a)

16b

b)

(7 + 9) b

c)

7b + 9

d)

13 + 3b

18.

5m + 5 - 3m =

a)

7m

b)

2m + 5

c)

15m + 5

d)

8m + 5

19.

8n - 2n + n =

a)

7n

b)

6n

c)

(8 - 2) + n

d)

16n - 2n + n