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 . . .