Equivalent Linear Expressions

What is the distributive property?

• For any numbers a, b, c,

  a(b + c) = ab + ac

• For any numbers a, b, and c,

  a(b + c) = a + (b + c)

How can 4(3 +9) be expressed using the distributive property?

• 4(3) + 4(4 + 9)

• 4(3) + 4(9)

3(2c - 5)

• 6c - 15

• 6c + 15

What is the simplified version of this expression?  $9\left(-5x+8\right)$  

•  $45x-72$  

•  $45x+72$  

•  $-45x+72$  

(b + 8)5

• b + 40

• 5b - 40

• 5b + 40

What is the simplified version of this expression? $-4(8r+3)$  

•  $-32r-12$  

•  $32r-12$  

What is the simplified version of this expression?  $7\left(5x-1\right)$  

•  $35x+7$  

•  $35x-1$  

•  $35x-7$  

What are like terms?

• terms with the same variable

• terms with the same variable and exponent

• terms in the same math class

A variable...

• represents an unknown value.

• is a symbol.

• has no answer.

Tags

CCSS.6.EE.B.6

Simplify

14(b – 10).

• 4b

• b – 140

• 14b – 140

• 14b – 10