17 terms

numerical expression

combination of numbers and operations (no variables)

example: 3 x 2 + 4 + 7

example: 3 x 2 + 4 + 7

order of operations

the order in which operations in an expression to be evaluated are carried out. 1. parentheses/grouping symbols 2. exponents 3. multiplication and divison in order from left to right 4. addition and subtractionin order from left to right; PEMDAS or GEMA

algebra

A type of mathematics to which Muslims made great contributions.

variable

a symbol, usually a letter, used to represent a number

algebraic expression

a combination of variables, numbers, and at least one operation

example: 2x + 7

example: 2x + 7

evaluate

To find the value of a mathematical expression.

term

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

examples: 4x, 7, y

examples: 4x, 7, y

like terms

Expressions that contain the same variables to the same power

constant

A value that does not change

defining the variable

choosing a variable and deciding what the variable represents

properties

statements that are true for any number

equivalent expressions

expressions that have the same value

example: 4x + x = 5x

example: 4x + x = 5x

commutative property

move numbers around and they mean the same thing *THINK COMMUTE = move

associative property

Changing the grouping of numbers will NOT change the value. For example: (7 + 4) + 8 = 7 + (4 + 8) also works with multiplication

distributive property

a(b + c) = ab + ac

identity property

a+0=a or a*1=a; if you add 0 to a number or multiply by 1, you get the original number

operation

addition, subtraction, multiplication, division