Identify the like terms; select all that apply.
3x + 2y + 4 + 2x

+3x

+2y

+4

+2x

1

Identify the like terms; select all that apply.
15m – 2p + 3 + 15p

15m

–2p

+3

+15p

1

Identify the like terms; select all that apply.
–8 + 2b – 4 – 8a

–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

W3 ADV Extra Practice - Combining Like Terms and Distributive Property

W3 ADV Extra Practice - Combining Like Terms and Distributive Property

Identify the like terms; select all that apply.3x + 2y + 4 + 2x

Identify the like terms; select all that apply.

3x + 2y + 4 + 2x

Identify the like terms; select all that apply.15m – 2p + 3 + 15p

Identify the like terms; select all that apply.

15m – 2p + 3 + 15p

Identify the like terms; select all that apply.–8 + 2b – 4 – 8a

Identify the like terms; select all that apply.

–8 + 2b – 4 – 8a

Simplify by combining like terms:3x + 4x

Simplify by combining like terms:

3x + 4x

Simplify by combining like terms:2y – 5y

Simplify by combining like terms:

2y – 5y

Simplify by combining like terms:–9m + 3m

Simplify by combining like terms:

–9m + 3m

Simplify by combining like terms:10a – 3a

Simplify by combining like terms:

10a – 3a

Simplify by combining like terms:3z + 8z – 5z

Simplify by combining like terms:

3z + 8z – 5z

Simplify by combining like terms:3m – m

Simplify by combining like terms:

3m – m

Drag the like terms together–4a + 5b – 2c + 3b – 4c + 8a – 11c – 2a + 8b

Drag the like terms together

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

Drag the like terms together5x + 3y + 4 – 9x – 8 + 2x – 4y – 11

Drag the like terms together

5x + 3y + 4 – 9x – 8 + 2x – 4y – 11

Combine Like Terms:5 + 9y – 7 – 8y

Combine Like Terms:

5 + 9y – 7 – 8y

Combine Like Terms:2 + 4p – 6p – 3

Combine Like Terms:

2 + 4p – 6p – 3

Simplify by combining like terms.

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

Simplify: 3(2x - 7)

Simplify: -3(2x - 7)

Simplify: -4(-8y + 3)

Simplify: -1(5x - 4)

Simplify: -(5x - 4)

Simplify: -1(-3x + 4)

Simplify: -(-3x + 4)

Simplify: 18 - 1(2x + 6)

Simplify: 18 - (2x + 6)

Simplify: 10x - (4x - 5)

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

Simplify: 2(5x – 4) – 8x=

Simplify: –3(3x – 2) – 1 =

Simplify: 3(2 – 4y) + 4 =

Simplify:(2m + 3)4

Find the sum:

Find the difference:

Identify the like terms; select all that apply.3x + 2y + 4 + 2x

Identify the like terms; select all that apply.

3x + 2y + 4 + 2x

Identify the like terms; select all that apply.15m – 2p + 3 + 15p

Identify the like terms; select all that apply.

15m – 2p + 3 + 15p

Identify the like terms; select all that apply.–8 + 2b – 4 – 8a

Identify the like terms; select all that apply.

–8 + 2b – 4 – 8a

Simplify by combining like terms:3x + 4x

Simplify by combining like terms:

3x + 4x

Simplify by combining like terms:2y – 5y

Simplify by combining like terms:

2y – 5y

Simplify by combining like terms:–9m + 3m

Simplify by combining like terms:

–9m + 3m

Identify the like terms; select all that apply.
3x + 2y + 4 + 2x

Identify the like terms; select all that apply.
15m – 2p + 3 + 15p

Identify the like terms; select all that apply.
–8 + 2b – 4 – 8a

Simplify by combining like terms:
3x + 4x

Simplify by combining like terms:
2y – 5y

Simplify by combining like terms:
–9m + 3m

Simplify by combining like terms:
10a – 3a

Simplify by combining like terms:
3z + 8z – 5z

Simplify by combining like terms:
3m – m

Drag the like terms together
–4a + 5b – 2c + 3b – 4c + 8a – 11c – 2a + 8b

Drag the like terms together
5x + 3y + 4 – 9x – 8 + 2x – 4y – 11

Combine Like Terms:
5 + 9y – 7 – 8y

Combine Like Terms:
2 + 4p – 6p – 3

Simplify:
(2m + 3)4

Identify the like terms; select all that apply.
3x + 2y + 4 + 2x

Identify the like terms; select all that apply.
15m – 2p + 3 + 15p

Identify the like terms; select all that apply.
–8 + 2b – 4 – 8a

Simplify by combining like terms:
3x + 4x

Simplify by combining like terms:
2y – 5y

Simplify by combining like terms:
–9m + 3m

Simplify by combining like terms:
10a – 3a

Simplify by combining like terms:
3z + 8z – 5z

Simplify by combining like terms:
3m – m

Drag the like terms together
–4a + 5b – 2c + 3b – 4c + 8a – 11c – 2a + 8b

Drag the like terms together
5x + 3y + 4 – 9x – 8 + 2x – 4y – 11

Combine Like Terms:
5 + 9y – 7 – 8y

Combine Like Terms:
2 + 4p – 6p – 3

Simplify:
(2m + 3)4