Chapter 1: Expressions, Equations, and Functions Flashcards
Variable
A letter that is used to represent one or more numbers.
Algebraic expression
An expression that includes at least one variable. Also called variable expression.
Evaluate an algebraic expression
To find the value of an algebraic expression by substituting a number for each variable and preforming the operation(s).
Power
An expression that represents repeated multiplication of the same factor.
Exponent
The number or variable that represents the number of times that base of a power is used as a factor.
Base of a power
The number or expression that is used as a factor in a repeated multiplication.
Order of operations
Rules for evaluating an expression involving more than one operation.
Verbal model
A verbal model describes a real-world situation using words as labels and using math symbols to relate the words.
Rate
A fraction that compares two quantities measured in different units.
Unit rate
A rate in which the denominator of the fraction is 1 unit.
Equation
A mathematical sentence formed by placing the symbol = between two expressions.
Inequality
A mathematical sentence formed by placing the symbols , greater than or equal to between two expression.
Open sentence
An equation or an equality that contains an algebraic expression.
Solution of an equation in one variable
A number that produces a true statement when substituted for the variable in an equation.
Solution of an inequality in one variable
A number that produces a true statement when substituted for the variable in an inequality.
Formula
An equation that relates two or more quantities.
Precision
The level of detail that an instrument can measure.
Significant digits
The digits used to express the precision of a measurement.
Function
A function consists of:
- A set called the domain containing numbers called inputs, and a set called the range containing numbers called outputs.
- A pairing of inputs with outputs such that each input is paired with exactly one output.
Domain of a function
The set of all inputs of a function/The input, also known as x, that only has one output and is an independent variable.
Range of a function
The set of all outputs of a function/The output, also known as y, and can have more than one input and is a dependent variable.
Independent variable
The input variable of a function and stays the same no matter what.
Dependent variable
The output variable of a function and changes depending on the input/x/independent variable.
