Multiplying Linear Expressions

1.6 Multiply Linear Expressions

​Learning Intent: apply the Distributive Property to multiply linear expressions.

Math Response

Simplify $$15x^{ }\cdot-5x^6$$

Type answer here

Correct Answer: -75x^7

Deg^°

Rad

Math Response

9(2x +  3)

Type answer here

Correct Answer: 18x+27

Deg^°

Rad

Math Response

(x + 8)5

Type answer here

Correct Answer: 5x+40

Deg^°

Rad

​When multiplying a sum or difference, multiply each term separately.

​We do:
 

​You do:
 

​You do:
 

​I do:

​We do:
 

​You do:
 

​You do:
 

Multiple Choice

9g(2g +  3)

• 18g² + 27g

• 18g² - 27g

• -18g² - 3g

• 18g² + 3g

Fill in the Blank

Si using the distributive property

$$\frac{1}{4}\left(8x-4\right)$$  

Fill in the Blank

Simplify using the distributive property

$$\frac{1}{6}\left(\frac{3}{5}x+18\right)$$  

Multiple Choice

$$\frac{1}{2}(t+8)$$  

• $$\frac{1t}{2t}+\frac{8}{2}$$  

• $$\frac{1}{2}t+8$$  

• $$\frac{1}{2}t+4$$  

• $$\frac{1}{2}t+\frac{8}{16}$$  

Multiple Choice

$$-\frac{1}{3}\left(y\ -\ 9\right)$$  

• $$\frac{1}{3}y+3$$  

• $$-\frac{1}{3}y+3$$  

• $$-\frac{1}{3}y-3$$  

• $$-\frac{1}{3}y+9$$  

Multiple Choice

0.5 (u - 6)

• 0.5u + 6

• 0.5u + 3

• 0.5u - 6

• 0.5u - 3

Multiple Choice

(p - 12) (-0.25)

• -0.25p - 3

• 0.25p + 3

• -0.25p + 3

• 0.25p - 3

Multiple Choice

-(8 - m)

• m - 8

• -8 - m

• 8 - m

• m + 8

Multiple Choice

2(c - 8)

• 2c - 16

• 2c + 16

• 2c - 8

• c - 16

Multiple Choice

3(2c - 5)

• 6c - 15

• 6c + 15

• 6c + 15

• -6c - 15