Distribute then Combine

This is a two part question:

Simplify:

5(x+3) + 2x + 7

First, you need to distribute 5(x+3).

Which answer is correct:

• 5x + 3

• 5x +15

Tags

CCSS.6.EE.A.3

Next, you need to combine like terms:

5x + 15 + 2x + 7

Which answer correctly combines the LIKE terms?

• 7x + 22

• 29x

Tags

CCSS.7.EE.A.1

Let's try another two part question:

4(3b + 2) - 10b - 5

First, let's distribute the 4(3b +2)

Which answer is correct:

• 12b + 8

• 12b + 2

Tags

CCSS.6.EE.A.3

Next, combine like terms:

12b + 8 - 10b - 5

(remember that the signs attach to the terms)

• 2b + 3

• 5b

Tags

CCSS.7.EE.A.1

One more two part question. This one has TWO variables (but don't be scared, it's the same thing as before)

10(4c - 2d) + 3c - 9d

First, let's distribute the 10(4c - 2d)

• 40c - 2d

• 40c - 20d

Tags

CCSS.6.EE.A.3

Now, we'll combine like terms. Remember there are no cogs or dats.. just cats with cats and dogs with dogs.

40c - 20d + 3c - 9d

• 43c - 29d

• 14cd

Tags

CCSS.7.EE.A.1

Now try the whole thing on your own. Distribute first, then combine like terms:

2(f + 5) + 2f + 1

• 4f + 11

• 4f + 6

• 15f

• 10f

Tags

CCSS.6.EE.A.3

Distribute first, then combine like terms:

5(2g + 3) - 3g -1

• 9g

• 7g + 2

• 7g + 14

• 21g

Tags

CCSS.6.EE.A.3

Distribute first, then combine:

3(5r -10) +2r -10

• -3r

• 17r - 40

• 17r - 20

• -23r

Tags

CCSS.6.EE.A.3

Distribute first, then combine:

2(5s +2k) + 3k + 3s

• 20sk

• 13s + 7k

• 13s + 5k

• 18sk

Tags

CCSS.6.EE.A.3