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identify equivalent expressions

Total questions: 22

Worksheet time: 22mins

Name
Class
Date
1.

Which expressions correctly represents the perimeter?

a)

2x + 2x + x + 10 + x + 10

b)

2(2x) + 2(x+10)

c)

2x + 20

d)

4x +20

e)

6x + 20

2.

Which of the expressions listed below are equivalent?

a. 4x + 3 - 5 + 2x

b. -2(-3x + 1)

c. -2 + 6x

a)

a and b

b)

b and c

c)

All of the above

d)

None of the above

3.

What are the like terms that you can combine to simplify in the following expression?

-3x + x - 5 - 2 + 2x

a)

-3x + x + 2x

and

- 5 - 2

b)

-3x + x + 2x

and

5 - 2

c)

3x - 5 -2

and

x + 2x

d)

3x + x + 2x

and

5 + 2

4.

Are the two expressions 2x+3y and 2y+3x equivalent?

a)

Yes

b)

No

5.

In the expression 7a + 3, identify the coefficient.

a)

7

b)

a

c)

1

d)

3

6.

What is an equivalent expression to 4x + 8 using FACTORING?

NOTE: Please make sure you are finding the GREATEST common factor

a)

2x + 4

b)

4x + 2

c)

2(2x + 4)

d)

4(x + 2)

7.

Are the two expressions 6(2a+b) and 12a+6b equivalent?

a)

Yes

b)

No

8.

Select the expression equivalent to 12x + 4 - 3x-2

a)

9x + 6

b)

15x + 2

c)

9x + 2

d)

7x

9.

Which of the following expression is equivalent to 3x + 5y + 2x + 5?

a)

6 (2x + 2y + 1)

b)

5x + 3

c)

2.5 (2x + 2y + 1)

d)

5 (x + y + 1)

10.

 2x + 8 + 6x  52x\ +\ 8\ +\ 6x\ -\ 5  Choose the correct simplified expression

a)

8x + 13

b)

4x + 3

c)

8x + 3

d)

4x + 13

11.

7(4x + 3)

Choose the equivalent expressions.

a)

28x + 21

b)

28x + 3

c)

7(4x) + 7(3)

d)

7(4x) + 3

12.

Which expression is equivalent to 9z+6z?

a)

14z

b)

15z

c)

z + 15

d)

z - 15

13.

Select all expressions equivalent to 24x - 16.

a)

-2(12x-8)

b)

4(6x-4)

c)

4(-6x+4)

d)

-2(-12x+8)

e)

2(12x-8)

14.

Which expressions are equivalent to: 3x + 4?

a. 2x + 2 -2x + 3x

b. 6 + 2(x - 1) + x

c. 3(x + 4 - 2) - 2

d. - 2x + 1 - x - 2 + 5

a)

b and d

b)

a, c, d

c)

b and c

d)

None of the above

15.

Which of the following expressions is equivalent to 3x- 20

a)

4 (x - 7) - 1

b)

7 + 3 (x + 9)

c)

3 (x - 7) - 1

d)

8 + 6 (x + 2)

16.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
17.

Which expression is equivalent to 3h+4h?

a)

7h

b)

8h

c)

7+h

d)

8+h

18.

The side length of a square is represented by the expression x-5.2. Which are equivalent expressions for the perimeter of the square? Choose all that apply.

a)

x + x + x + x + 5.2 + 5.2 + 5.2 + 5.2

b)

x + x + x + x - 5.2 - 5.2 - 5.2 - 5.2

c)

2(x - 5.2) + 2(x - 5.2)

d)

4x - 5.2

e)

4(x - 5.2)

19.

 Which of the following expressions is equivalent to:     

 13y + 3 23y + 12(6 + 4y)\frac{1}{3}y\ +\ 3\ \frac{2}{3}y\ +\ \frac{1}{2}\left(6\ +\ 4y\right)  

a)

5 13y\frac{1}{3}y  + 12

b)

 5 23y + 35\ \frac{2}{3}y\ +\ 3  

c)

6y + 3

d)

8y + 3

20.

Simplify the expression using factoring:

4x + 12 + 2x

a)

2(2x + 6)

b)

2(2x - 6 - x)

c)

6(x - 2)

d)

6(x + 2)

21.
Perry has 17 fewer baseball cards than Pete.
If b represents the number of cards Pete has, write an expression for how many baseball cards Perry has.
a)
b + 17
b)
b -17
c)
17 - b
d)
17 + b
22.

Which expression is equivalent to 5t+5t?

a)

t + 10

b)

9t

c)

10t

d)

t