Algebraic Properties Solving Equations

What is step 6

• Subtraction property of equality

• Addition property of equality

• Division property of equality

Find the error

• Adding 2x to 3x

• Subtracting 5 from both sides

• Adding 2x to -2x

• Dividing by 5 on both sides

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

• Multiplicative Inverse Property

• Associative Property of Multiplication

• Multiplicative Identity Property

• Commutative Property of Multiplication

What property states that the sum of a number and its opposite always equals zero?

• Additive Inverse Property

• Additive Identity Property

• Commutative Property of Addition

• Distributive Property

A lower case letter or symbol used to represent an unknown value is called a what?

• term

• variable

• constant

• operation

The following equation is representing what TWO properties?

3 + 0 = 3

• Addition Property of Zero

• Additive Identity Property

• Multiplicative Identity Property

• Commutative Property of Multiplication

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

Solve for X:

4x = 12