1.2 – Evaluate and Simplify 1.2 – Evaluate and Simplify Algebraic ExpressionsAlgebraic Expressions

A A numerical expressionnumerical expression consists of consists of numbers, operations, and grouping numbers, operations, and grouping symbols. An expression formed by symbols. An expression formed by repeated multiplication of the same repeated multiplication of the same

factor is a power.factor is a power.

A A powerpower has two parts: an has two parts: an exponentexponent and a and a basebase. The exponent . The exponent represents the number of times the represents the number of times the

base is used as a factor. base is used as a factor.

7733 = 7 x 7 x 7 = 7 x 7 x 7

1.2 – Evaluate and Simplify 1.2 – Evaluate and Simplify Algebraic ExpressionsAlgebraic Expressions

A A variablevariable is a letter that is used to is a letter that is used to represent one or more numbers. An represent one or more numbers. An

expression involving variables is called expression involving variables is called an an algebraic expression.algebraic expression.

1.2 – Evaluate and Simplify 1.2 – Evaluate and Simplify Algebraic ExpressionsAlgebraic Expressions

In an expression that can be written as a In an expression that can be written as a sum, the parts added together are called sum, the parts added together are called

termsterms..

A term that has a variable part is called A term that has a variable part is called a a variable termvariable term. A term that has no . A term that has no

variable part is called a variable part is called a constant termconstant term..

When a term is a product of a number When a term is a product of a number and a power of a variable, the number is and a power of a variable, the number is

called the called the coefficientcoefficient of the power. of the power.

1.2 – Evaluate and Simplify 1.2 – Evaluate and Simplify Algebraic ExpressionsAlgebraic Expressions

An expression is simplified if it contains An expression is simplified if it contains no grouping symbols and all like terms no grouping symbols and all like terms are combined. are combined. Like termsLike terms are terms are terms that have the same variable parts. that have the same variable parts.

1.2 – Evaluate and Simplify 1.2 – Evaluate and Simplify Algebraic ExpressionsAlgebraic ExpressionsTwo algebraic expressions are Two algebraic expressions are

equivalent expressionsequivalent expressions if they have if they have the same value for all values of their the same value for all values of their

variable(s).variable(s).