Chapter 1: Variables in Algebra

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Presentation transcript:

Chapter 1: Variables in Algebra VOCABULARY

Variable A letter that represents a range of numbers Example: x

Expression A mathematical phrase that includes operations, numbers, and/or variables. It does not contain an equal sign Example 2p + 7

Evaluate Substitute and Solve Example: x= 2, 5x 5(2), 10

Power Is an expression of the form ab Example: 24

Exponent The power to which a number or expression is raised Example: 24 Exponent

Order of Operations The rules for evaluating an expression involving more than one operation PEMDAS

Equation A mathematical statement or sentence that says one mathematical expression or quantity is equal to the other Example: 3x + 7 = 21

Solution A number that when substituted for the variable in an equation or inequality results in a true statement The answer

Inequality A mathematical sentence that contains one of the following symbols: ≤, ≥, <, > Example: 3x > 21

Function A rule that establishes a relationship between 2 quantities the input and output There is exactly one input for each output

Input A value in the Domain of a function (x) Example: (2,4), (5, 7), (1,3) Domain: 2, 5, 1

Output A value in the Range of a function (y) Example: (2,4), (5, 7), (1,3) Range: 4,7,3

Relation A set of pairs of values. The 1st value in each pair is the input and the 2nd value is called the output Example: (2,4), (5, 7), (1,3)

Domain The set of all possible values of the independent variable in a function It is the x in the ordered pair Example: (2,4), (5, 7), (1,3) Domain: 2, 5, 1

Range The set of all dependent values It is the y in the ordered pair Example: (2,4), (5, 7), (1,3) Range: 4,7,3