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W3 ADV Extra Practice - Combining Like Terms and Distributive Property

Last updated almost 2 years ago
32 questions
1

Identify the like terms; select all that apply.


3x + 2y + 4 + 2x

1

Identify the like terms; select all that apply.


15m – 2p + 3 + 15p

1

Identify the like terms; select all that apply.


–8 + 2b – 4 – 8a

1

Simplify by combining like terms:


3x + 4x

1

Simplify by combining like terms:


2y – 5y

1

Simplify by combining like terms:


–9m + 3m

1

Simplify by combining like terms:


10a – 3a

1

Simplify by combining like terms:


3z + 8z – 5z

1

Simplify by combining like terms:


3m – m

3

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
2

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
1

Combine Like Terms:

5 + 9y – 7 – 8y

1

Combine Like Terms:

2 + 4p – 6p – 3

1

Simplify by combining like terms.

1

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

1

Simplify: 3(2x - 7)

1

Simplify: -3(2x - 7)

1

Simplify: -4(-8y + 3)

1

Simplify: -1(5x - 4)

1

Simplify: -(5x - 4)

1

Simplify: -1(-3x + 4)

1

Simplify: -(-3x + 4)

1

Simplify: 18 - 1(2x + 6)

1

Simplify: 18 - (2x + 6)

1

Simplify: 10x - (4x - 5)

1

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

1

Simplify: 2(5x – 4) – 8x=

1

Simplify: –3(3x – 2) – 1 =

1

Simplify: 3(2 – 4y) + 4 =

1

Simplify:
(2m + 3)4

1

Find the sum:

1

Find the difference: