# Algebra Definitions (Mathematics Lesson)

# What Are the Definitions in Algebra?

- This is an equation, because it has an
**=**sign.

- The
**3**,**5**,**2**and**4**are constants: they only have a fixed value.

- The
**x**,**y**and**z**are variable: they are letters that stand for numbers .

**Note:**The value they take can vary (hence*vari*able). The equation is satisfied if

**x = 1**,**y = 3**and**z = 4**, or

**x = 1**,**y = 2**and**z = -1**, or

**x = 2**,**y = 1**and**z = 3**... - The
**3**is a coefficient: it is a constant in front of a letter.

**Note:**The**x**and**y**also have a coefficient, eben though there is no number in front of them. If there is no number, assume the coefficient is**1**.

- The
**+**and the**-**are operators: operators include +, -, × and ÷.

- The
**3x**,^{2}**5(y - 2)**,**4**and**z**are terms: a collection of letters, numbers, exponents and parentheses.

**Note:**terms are separated by + or - operators. - The
in the x^{2}^{2}is an exponent: the**x**is multiplied by itself 2 times;**x**×**x**.

- The
**y - 2**is a bracket (or parentheses): the terms in the bracket are grouped together into one term, so**5**is multiplied by**(y - 2)**.

- The
**3x**and^{2}+ 5(y - 2)**4 + z**are expressions: one term or several terms that are added (+) or subtracted (-) together.

**Note:**the = separates expressions.

# Other Algebra Definitions

# What Are Polynomimials?

A polynomial is an expression with two or more terms. It consists of constants, variables and exponents:# What Are Like Terms?

Like terms are terms that have the same combination of variables and exponents.are all like terms. They all have the same combination of letters and exponents:

**x**. The only difference is the of each term.

^{2}yRead more about like terms

##### Curriculum

##### Interactive Test

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##### Note

**WHAT IS ALGEBRA?**

Algebra is a branch of mathematics that uses letters or symbols to represent variables, values or numbers, which can then be used to express operations and relationships and to solve equations.

**WHAT'S IN A NAME?**

Algebra comes from the Arabic word 'al-jebr', meaning "reunion of broken parts".

# ALBERT EINSTEIN AND ALGEBRA

The famous scientist Albert Einstein learned algebra from a young age.

His Uncle Jakob gave him books on the subject and called algebra "a merry science".

He compared algebra to hunting a little animal. You didn't know the name of the animal, so you called it

*"x"*. When you finally caught the animal you gave it the correct name.