24 terms

algebra

A branch of mathematics dealing with symbols.

algebraic expression

An expression that contains sums and/or products of variables and numbers.

coordinate system

A plane that is divided into four regions by a horizontal line called the x-axis and a vertical line called the y-axis that meet at a right angle.

counterexample

An example that shows a conjecture is not true.

deductive reasoning

The process of using facts, properties, or rules to justify reasoning or reach valid conclusions.

defining a variable

Choosing a variable and a quantity for a variable to represent in an equation.

domain

The set of all x-coordinates from each ordered pair in a relation.

equation

A mathematical sentence that contains an equal sign, =.

evaluate

Find the numerical value of an expression.

four-step plan

A plan for problem solving consisting of the steps Understand, Plan, Solve, and Check.

graph

A dot at the point that corresponds to an ordered pair on a coordinate plane.

numerical expression

A combination of numbers and operations.

order of operations

The rules to follow when more than one operation is used in an expression.

ordered pair

A pair of numbers used to locate any point on a coordinate plane.

origin

The point at which the number lines intersect in a coordinate system.

properties

Statements that are true for any number.

range

The set of all y-coordinates from each ordered pair in a relation.

relation

A set of ordered pairs.

simplify

To write an expression in a simpler form.

variable

A placeholder for any value.

x-axis

The horizontal axis of the coordinate plane.

x-coordinate

The first number in an ordered pair.

y-axis

The vertical axis on a coordinate plane.

y-coordinate

The second number in an ordered pair.