Pre-Algebra Terms Flashcards

Real Numbers

Any and all numbers, excluding imaginary ones

Irrational Numbers

Numbers that do not end, repeat, or follow a pattern

Rational Numbers

Any number that can be written as a fraction

Integers

Numbers ending in .0 that can be either negative or positive

Whole Numbers

Numbers ending in .0, beginning with 0

Natural Numbers

Counting numbers, ends with .0, starts with 1

R

How is a Real Number represented?

Q

How is a Rational Number represented?

Z

How is an Integer represented?

W

How is a Whole Number represented?

N

How is a Natural Number represented?

Commutative Property of Addition

a+b=b+a

Commutative Property of Multiplication

a*b=b*a

Associative Property of Addition

(a+b)+c=a+(b+c)

Associative Property of Multiplication

(a*b)*c=a*(b*c)

Distributive Property

a(b+c)=ab+ac

Additive Identity

a+0=a

Multiplicative Identity

a*1=a

Inverse Property of Addition

a+(-a)=0

Inverse Property of Multiplication

a(1/a)=1

Open

When graphing an inequality that uses < or >, use a _____ circle

Closed

When graphing an inequality that uses ≤ or ≥, use a _____ circle

(−∞,+∞)

How do you represent a solution of “all real numbers” in interval notation?

Above the graph

When graphing inequalities that have an “and”, where should you first graph the inequality?

On the graph

When graphing inequalities that have an “or”, where should you first graph the inequality?

Parentheses

When writing in interval notation and there’s a < or >, use ______.

Brackets

When writing in interval notation and there’s a ≤ or ≥, use _______.

Isolating the absolute value set on one side

What is the first step of solving an inequality?

Set up two equations, making sure to reverse the sign and opposite the non-AV of one of the expressions

What is the second step of solving an inequality?

Check the solutions for extraneous solutions

What should you do after solving an AV equation if there is an =?

Or

If the Absolute Value side of an Absolute Value equation is greater than the other side, what word should be used to describe the inequality?

And

If the Absolute Value side of an Absolute Value equation is less than the other side, what word should be used to describe the inequality?