_________________________ are expressions that result in the same number for any value of each variable.
Equivalent Expression
Simplify:

8n + 4
Name that property
4 x 1 = 4
Multiplication property of one OR Identity property of multiplication
A car travels (d + 6 ) miles for every hour. Write and simplify an expression to find out how many miles it goes in 7 hours.
7 (d + 6) = 7d + 42 miles
List all of the terms of the expression:

6x, -2x, 8 4x, 9
A number or a product of a number and a variable
term
Simplify: 5(3k + 9z)
15k + 45z
Name that property
(3 x 4) x 9 = 3 x (4 x 9)
Associative Property of Multiplication
Jennie and Cicero are arguing. Jennie says the following expressions are equivalent. Cicero disagrees. Prove who is right.
2x + x + x + x + x and 6x
Yes they are equivalent because they are all like terms and you can add the coefficients together to make 6x.
List the constants of the expression below

8, 9
___________________ is a term with no variable
Simplify:
7(8x + 2x + 6)
70x + 42
Name that property
34a + 4b + 6 = 6 + 34a + 4b
What is Commutative Property of Addition
Write the expression as a product of two factors
7 (20 + x)
List the coefficients of the expression below:

6, -2, 4
_________________ are terms with the same variable to the same power
Like Terms
Simplify the expression:
1.5x + 4.5 + 6z - 0.3 - 3z + x
2.5x + 3z + 4.2
Name that property:
x( 5+ 7h)= 5x + 7hx
Distributive Property
Sarah wants to find the perimeter of the trapezoid below. She writes her expression to be as simplified as possible. What expression did she write.

6x + 4
Simplify the expression: 
8x + 17
________________says that you can change the groupings of the numbers or variables does not change the sum or the product.
Associative Property
Which are equivalent:

The third one:
8( 3n-1) and 2( 12n-4 )
Name that property:
2 + y + c + 4 = y + c + 2 + 4
Commutative Property of Addition

Solve the expression for 10 months.
$41.50
Simplify the expression below:

