To reduce to basic essentials

An expression that consists of numbers, operations, and grouping symbols

An expression that consists of numbers, variables, operations, and grouping symbols.

2x + 3y – 20 5x-2y+384x+5y-72 x-4y+1083x-y+39

Example

•Commutative property states that numbers can be added or multiplied in any order

•Commutative property of Addition states that changing the order of addends does not change the sum. That is, a + b = b+ a

•Commutative property of Multiplication states that changing the order of factors does not change the product. That is, a x b = b x a

The associative property of addition says that when we add more than two numbers the grouping of the addends does not change the product.

The associative property of multiplication says that when we multiply more that two numbers the grouping of the factors does not change product.

Is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.

Terms that have the same variables parts.

Combine like terms.Subtract 12 from each side.SimplifyDivide each side by 3Simplify

Use the commutative Property of Addition.

Combine like termsSubtract 16 from each sideDivide each side by 6 Simplify

a.2c + c + 12 = 78 2c + c + 12 = 78 3c + 12 = 78 3c + 12 – 12 = 78 3c/3 = 66/3 c = 22

b.4b + 16 + 2b = 46 4b + 16 + 2b = 46 4b + 2b + 16 = 46 6b + 16 = 46 6b + 16 – 16 = 46 - 16 6b/6 = 30/6 b = 5