combining like terms with the distributive property

 $4\left(y+5\right)$  
Use the distributive property to find all equivalent expressions

• 4y+20

• y+20

• y+y+y+y+20

• (y+5) +(y+5) +(y+5)+(y+5)

Tags

CCSS.6.EE.A.3

CCSS.6.EE.A.4

Solve using distributive property:

9(3z+5)

• 93z+95

• 27z+5

• 27z+45

• 72z

Tags

CCSS.6.EE.A.3

What is

6 (2c+10)

Tags

CCSS.6.EE.A.3

CCSS.6.EE.A.2

CCSS.6.EE.B.6

What is 5(2+3x)

(don't leave any spaces in your answer)

(a)  

Tags

CCSS.6.EE.A.3

CCSS.6.EE.A.4

CCSS.6.EE.A.2

CCSS.6.EE.B.6

What if I have a negative when doing distributive property? Look carefully to decide what is equivalent to:

4(3-2x)

• 12+8x

• 12-8x

• 12+2x

• 12-2x

Tags

CCSS.6.EE.A.3

CCSS.6.EE.A.4

Look carefully at the negative symbol in this one:

7(4x-2)

• 4x-14

• 28x+2

• 28x-2

• 28x-14

Tags

CCSS.6.EE.A.3

CCSS.6.EE.A.4

CCSS.6.EE.A.2

Time to put it all together. Find an equivalent expression:

7x+4(x+2)

First solve the 4(x+2) using distributive property because we always multiply before adding or subtracting!

What is 4(x+2)?

• 8x+8

• 4x+8

• 4x+2

• 12x

Tags

CCSS.6.EE.A.3

CCSS.6.EE.A.4

Time to put it all together. Find an equivalent expression:

7x+4(x+2)

Now that we know that 4(x+2) IS 4x+8 substitute that in the expression. Now I have..............

• 7x+4x+2

• 7x+4x+8

• 7x+4(x+2)

• 7x+12x

Tags

CCSS.6.EE.A.3

CCSS.6.EE.A.4

Now solve it:

7x+4(x+2)

IS 7x+4x+8

Combine like terms and then stop.....

• 11x+8

• 19x

• 3x+8

• 7x+12x

Tags

CCSS.6.EE.A.3

CCSS.6.EE.A.4

CCSS.6.EE.A.2

Simplify the expression:

6x+4(x+1)

First do the distributive property. What is your new expression?

• 6x+4x+1

• 6x+4x+4

• 6x+x+1

• 6x+x+4

Tags

CCSS.6.EE.A.3