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# Unit 1 Pre-Algebra

### Expressions and Variables

TermDefinition
Numerical Expression a mathematical expression that contains numbers and operations.
Variable a letter used to represent one or more numbers.
Variable Expression a mathematical expression that contains numbers, operations and variables.
Evaluate the substitution of a number for each variable in an algebraic expression and then calculating the result.
Area the number of unit squares that fit inside a two-dimensional shape.
Volume the number of unit cubes that fit inside the three-dimensional shape.
Perfect Square the product of a number and itself.
Perfect Cube the product of a number and itself three times.
Pythagorean Theorem For every right triangle, where a and b are legs and c is the hypotenuse, then: a^2 + b^2 = c^2
Converse of the Pythagorean Theorem For every triangle, if a^2 + b^2 = c^2, where a and b are legs and c is the hypotenuse, then the triangle is a right triangle.
Natural Numbers also called the Counting Numbers, are all the whole numbers greater than zero.
Whole Numbers the natural numbers and zero.
Integers the whole numbers and their opposites.
Rational Numbers any number that can be written as a fraction of integers.
Irrational Numbers any number that can not be written as a fraction of integers.
Real Numbers Any number on the real number line. These numbers can be rational or irrational.
Created by: esisolak