Properties Pemdas and Algebraic Expressions

What property includes both addition and multiplication and allows you to rewrite an expression from a product of two numbers to the sum of two separate products?

Example: 3(4x+5) = 12x+15

• Associative Property of Multiplication

• Commutative Property of Addition

• Additive Inverse Property

• Distributive Property

What is an expression that contains at least one variable called?

• operational expression

• constant expression

• numerical expression

• algebraic expression

True or False: Terms that have the same variables and can be combined through addition and subtraction are called "like terms."

• true

• false

True or False: Expressions that are written differently but have the same value are called "equivalent expressions."

• true

• false

Match the expression to the property listed that is being shown.  You may use them more than once. (Type your 5 letters lower case and with no spaces in between like: abcab)

Simplify this expression....

• 12b

• 7b

• 12a²

• 8b

What expression does this number line represent?

• 4n - n

• 2n + n

• 8n - 2n

• 16n - 4n

The table shown below represents the number of hours that Mike practiced his guitar each day. Which expression represents the total amount of time that Mike practiced his guitar?

• 10x

• 7x + 3

• 8x + 3

• none of the above

• $400

• $275

• $5

Simplify this expression....

• 10a

• 7a

• 5a²

• 5a