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## Ignore words

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3

x + 1 = 4

15

x - 5 = 10

-1

x + 2 = 1

0

x + 0 = 0

2x+5=3

2x+5=11

Algebra is...

... the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.

inverse operations

operations that undo each other

Variable

an alphabetic character representing a number, called the value, which is either arbitrary or not fully specified or unknown. It is usually a letter like x or y.

constant

A number without a variable

Integer

The set of whole numbers and their opposites.

fraction

a part of a whole

Rational Number

Any number that can be expressed as a ratio of two integers. Example; 6 can be expressed as 6/1, and 0.5 as 1/2.

inverse (opposite) operation

Operations that do the exact opposite of each other; they undo each other (addition and subtraction, for example)

Equation

A mathematical sentence that contains an equals sign

expression

A mathematical phrase without an equal sign.

Inverse

a + (-a) = 0 = (-a) + a OR a * 1/a = 1 = 1/a * a; a cant be 0

algebraic

A mathematical phrase that contains variable, numbers, and operation symbols

translate

change from one form into another

isolate

keep separate

Coefficient

the decimal part

constant

A value that does not change

distribute

multiply a sum by multiplying each addend separately and then add the products

terms

A number, a variable, or the product of a number and a variable

Like Terms

expressions that contain the same variables to the same power