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Simplify Algebraic Expression 2

Total questions: 25

Worksheet time: 35mins

Name
Class
Date
1.

7b + 6 - 3b + 3

a)

10 b + 9

b)

4b + 9

c)

4b + 3

d)

10b - 3

2.

10 + 3b + b - 3

a)

3b - 7

b)

4b + 13

c)

4b - 7

d)

4b + 7

3.

10a + 7 + 3a - 2

a)

13a - 5

b)

7a - 5

c)

13a + 5

d)

13a - 9

4.

b + b + b + 5

a)

8b

b)

2b + 5

c)

3b - 5

d)

3b + 5

5.

12 + 6a - 4b + 3a - 5

a)

9a - 4b + 17

b)

3a + 4b + 17

c)

9a - 4b - 7

d)

9a - 4b + 7

6.

7xy + 2 - 3xy + 6 - 4

a)

4xy + 12

b)

10xy + 4

c)

10xy - 4

d)

4xy + 4

7.

15 + 8c - 5c - 8

a)

3c + 7

b)

13c + 7

c)

13c - 7

d)

3c - 7

8.

4d + 2d - 6 - d

a)

6d - 6

b)

5d - 6

c)

7d - 6

d)

5d + 6

9.
A coefficient is __________.
a)
the variable
b)
a constant
c)
an exponent
d)
the number that comes before the variable
10.

A variable can be _______?

a)

Any number

b)

Any letter of the alphabet

c)

only X

d)

only 1

11.
Which expression has 4 terms?
a)
3 + 5t - 24d
b)
15r + 10s - 12t + 4
c)
9stp - 3
d)
x/4 - 8p
12.
How many terms does this expression have?
-18y + 7yz - 4z
a)
-18
b)
3
c)
7
d)
-4
13.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
14.

Simplify by combining like terms:

x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

15.

Simplify by combining like terms:

7t - 3t + t - 3t

a)

2t

b)

8t - 6t

c)

14t

d)

Can't be simplified

16.

What is the coefficient in the term 7x?

a)

5

b)

7

c)

10

d)

3

17.

Simplify the expression: 7b + 6 - 3b + 3

a)

4b + 9

b)

3b + 10

c)

10b + 3

d)

4b + 6

18.

What does it mean to simplify an expression?

a)

To combine like terms and reduce it to its simplest form.

b)

To make the expression longer and more complex.

c)

To change the expression into a different variable.

d)

To evaluate the expression for a specific value.

19.

Simplify the expression: 10n - 3n + 5 + 4n - 2

a)

9n + 3

b)

10n + 3

c)

11n + 3

d)

12n + 3

20.

What is the first step in simplifying an algebraic expression?

a)

Identify and group like terms together.

b)

Multiply all terms by a common factor.

c)

Add all coefficients together.

d)

Distribute the constants across the terms.

21.

What is the result of combining the like terms 2a + 3a?

a)

4a

b)

5a

c)

6a

d)

3a

22.

How do you combine like terms?

a)

Add or subtract their coefficients while keeping the variable part the same.

b)

Multiply the coefficients and add the variables together.

c)

Divide the coefficients and keep the variables separate.

d)

Subtract the variables and add the coefficients.

23.

Simplify the expression: 15 + 8c - 5c - 8

a)

2c + 7

b)

3c + 5

c)

3c + 7

d)

4c + 7

24.
Simplify the expression:
2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
25.
Simplify the expression:
7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14