algebra 1 summer skills vocabulary

All vocab for Algebra 1 Summer Skills Review Vocabulary

A fraction is ______________________________ when the numerator and the denominator have no \n factors in common other than 1

simplified

A ______________________________ number is a natural number other than 1 whose only factors are 1 \n and itself.

prime

A ______________________________ number is a natural number other than 1 that is not a prime \n number. It can be written as a product of prime numbers

composite

The top number of a fraction is the ______________________________ and the bottom number of a \n fractions is the ______________________________

numerator/denominator

Two fractions are ______________________________ of each other if their product is 1

reciprocals

Fractions are ______________________________ if they represent the same quantity

equivalent

The smallest number that both given numbers divide into evenly is the \n ____________________________________

least common multiple

The ______________________________ of an exponential notation is the repeated factor

base

The ______________________________ of an exponential notation is the number of times you multiply \n the base times itself

exponent

A letter used to represent a number is called ________________

variable

A(n) ______________________________ is a collection of numbers, variables, operation symbols and \n grouping symbols. It does NOT contain an equal sign

expression

A(n) ______________________________ is a mathematical statement that two expressions have equal \n value

equation

A(n) ______________________________ of an equation is a value for the variable that makes the \n equation true

solution

The ______________________________ property has to do with “order.”

commutative

The ______________________________ property has to do with “grouping.”

associative

a(b+c) = ab + ac illustrates the ______________________________ property.

distributive

Two numbers that are the same distance from 0 on different sides of the number line are \n _________________

opposites

The quotient of any nonzero real number and 0, a/0 is _________________

undefined

The ______________________________________ are {1, 2, 3, . . .}

natural numbers

The ______________________________________ are {0, 1, 2, 3, . . .}.

whole numbers

The ______________________________________ are {. . . -3, -2, -1, 0, 1, 2, 3, . . .}.

integers

The number **π** is a(n) ______________________________________.

irrational number

the number 5/7 is a(n) ______________________________

rational number

Numbers to the left of 0 are ___________________

negative numbers

The distance between a real number and 0 on the number line is __________

absolute value

The quotient of 0 and any nonzero real number, 0/a, is ____________________

zero/0

**ORDER OF OPERATIONS** if grouping symbols are present, simplify expressions within those first, starting with the innermost set. If fraction bars are present, simplify the numerator and denominator \n separately.

Parentheses

**ORDER OF OPERATIONS** Evaluate Exponential expressions.

Exponents

**ORDER OF OPERATIONS**

Perform multiplication or division in order from left to right.

Multiplication, Division

**ORDER OF OPERATIONS** Perform addition or

subtraction in order from left to right.

Addition, Subtraction

The additive is 0. \n α + 0 = 0 +α = α

addition identity

\
The multiplicative is 1. \n α ⋅ 1 = 1 ⋅ α = α

multiplication identity

The way in which real numbers are \n grouped does not change their sum. (a + b) + c = a + (b + c)

addition associative

The way in which real numbers are grouped \n does not change their product (a ⋅ b) ⋅ c = a ⋅ (b ⋅ c)

multiplication associative

The order in which two real numbers are \n added does not change their sum. a + b = b + a

addition commutative

The order in which two real numbers are \n multiplied does not change their product. a ⋅ b = b ⋅ a

multiplication commutative

For each number α, there is a unique \n number −α called the additive inverse or \n opposite of α such that

α +(-α) = -α +α = 0

Opposite or Additive Inverse

For each nonzero α, there is a unique number 1/α \n called the multiplicative inverse or reciprocal of \n α such that α ⋅ 1/α = 1/α ⋅ α = 1

Reciprocal or Multiplicative Inverse

the largest integer that is a factor of all the integers in the list.

greatest common factor