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W3 ADV Extra Practice - Combining Like Terms and Distributive Property

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Last updated almost 2 years ago
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Question 1
1.

Identify the like terms; select all that apply.


3x + 2y + 4 + 2x

Question 2
2.

Identify the like terms; select all that apply.


15m – 2p + 3 + 15p

Question 3
3.

Identify the like terms; select all that apply.


–8 + 2b – 4 – 8a

Question 4
4.

Simplify by combining like terms:


3x + 4x

Question 5
5.

Simplify by combining like terms:


2y – 5y

Question 6
6.

Simplify by combining like terms:


–9m + 3m

Question 7
7.

Simplify by combining like terms:


10a – 3a

Question 8
8.

Simplify by combining like terms:


3z + 8z – 5z

Question 9
9.

Simplify by combining like terms:


3m – m

Question 10
10.

Drag the like terms together

–4a + 5b – 2c + 3b – 4c + 8a – 11c – 2a + 8b

  • –4a
  • 5b
  • –2c
  • +3b
  • –4c
  • +8a
  • –11c
  • –2a
  • 8b
  • a terms
  • b terms
  • c terms
Question 11
11.

Drag the like terms together

5x + 3y + 4 – 9x – 8 + 2x – 4y – 11

  • 5x
  • +3y
  • +4
  • –9x
  • –8
  • +2x
  • –4y
  • –11
  • x terms
  • y terms
  • constant terms
Question 12
12.

Combine Like Terms:

5 + 9y – 7 – 8y

Question 13
13.

Combine Like Terms:

2 + 4p – 6p – 3

Question 14
14.

Simplify by combining like terms.

Question 15
15.

The distributive property tells us how to solve expressions in the form of a(b + c).  The distributive property is sometimes called the distributive law of multiplication and division.

We use the distributive property when we have variables in the parentheses. We can't combine the unlike terms so we multiply all the terms inside the parentheses by the term outside the parentheses.

a(b+c)=ab+ac

Question 16
16.

Simplify: 3(2x - 7)

Question 17
17.

Simplify: -3(2x - 7)

Question 18
18.

Simplify: -4(-8y + 3)

Question 19
19.

Simplify: -1(5x - 4)

Question 20
20.

Simplify: -(5x - 4)

Question 21
21.

Simplify: -1(-3x + 4)

Question 22
22.

Simplify: -(-3x + 4)

Question 23
23.

Simplify: 18 - 1(2x + 6)

Question 24
24.

Simplify: 18 - (2x + 6)

Question 25
25.

Simplify: 10x - (4x - 5)

Question 26
26.

Simplify: 5(2n + 3) + 4n =

Question 27
27.

Simplify: 2(5x – 4) – 8x=

Question 28
28.

Simplify: –3(3x – 2) – 1 =

Question 29
29.

Simplify: 3(2 – 4y) + 4 =

Question 30
30.

Simplify:
(2m + 3)4

Question 31
31.

Find the sum:

Question 32
32.

Find the difference: