Integrated Math III Ch. 1

1.2 Like terms

terms that have the same variable part

1.2 Exponent

the number of times the base is used as a factor

1.1 coordinate

the number that corresponds to a point on a number line

1.2 Base of a power

the number you are working with

1.1 Origin of a real number line

the point labeled 0

1.1 graph of a real number

the point on a number line that corresponds to a real number

1.1 Integers

. . . -3, -2, -1, 0, 1, 2, 3, . . .

1.1 whole numbers

0, 1, 2, 3, . . .

1.2 order of operations

1. First, do operations that occur within grouping symbols. 2. Next, evaluate powers. 3. Then, do multiplications and divisions from left to right. 4. Finally, do additions and subtractions from left to right.

1.2 Identity

A statement such as 7x + 4x = 11x that equates two equivalent expressions.

1.2 Constant term

A term that has no variable part, such as -4 or 2

1.1 Irrational Numbers

Real numbers that are not rational, such as and . When written as decimals, irrational numbers neither terminate nor repeat.

1.2 Coeffiecient

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

1.2 variable

a letter that is used to represent one or more numbers

1.1 opposite

additive inverse, of any number a is -a

1.2 algebraic expression

an expression involving variables

1.2 power

an expression such as 2 , which represents 2 2 2 2 2 = 32

1.2 mathematical model

an expression that represents a real-life situation

1.2 numerical expression

consists of numbers, operations, and grouping symbols

1.2 Equivalent Algebraic expressions

expressions that have the same value for all values of their variables. For instance, the expressions 7x + 4x and 11x are equivalent.

1.1 reciprocal

multiplicative inverse, of any nonzero number a is 1/a

1.2 terms of an expression

In an expression, the parts that are added together.

1.1 Rational Numbers

Numbers such as 3/4, 1/3, and -4/1 (or -4) that can be written as the ratio of two integers Numbers . When written as decimals, these numbers terminate or repeat. For example, 3/4 = 0.75 and 1/3 - 0.333 . . .