Alg 1 Module 1 Vocabulary - Solving Linear Equations

identity

• An equation that is true for all values of the variable.

• An equation that is true for some values of the variable.

• An equation that has no solutions.

• An equation that is always false.

extraneous solution

• An apparent solution that must be rejected because it does not satisfy the original equation.

• A solution that is derived from a valid mathematical operation.

• A solution that is always correct regardless of the equation.

• A solution that is only valid under certain conditions.

rule

• A proven statement about a general mathematical concept. (Same as theorem)

• A conjecture that has not yet been proven.

• A specific case of a mathematical principle.

• A method for solving equations.

equation

• A statement that two expressions are equal.

• A mathematical operation involving addition or subtraction.

• A graphical representation of data points.

• A formula used to calculate the area of a shape.

conjecture

• A proven theorem in mathematics.

• An unproven statement about a general mathematical concept.

• A mathematical concept that has been widely accepted.

• A specific case of a mathematical principle.

mean

• The sum of a numerical data set divided by the number of data values.

• The middle value in a data set when arranged in order.

• The largest value in a data set.

• The difference between the highest and lowest values in a data set.

linear equation in one variable

• An equation that can be written in the form y = mx + b, where m and b are constants.

• An equation that has no variables and is always true.

• An equation that can be represented as a quadratic function.

• An equation that involves two variables and forms a straight line.

theorem

• A proven statement about a general mathematical concept. (Same as rule)

• An unproven assumption used in mathematical reasoning.

• A specific case derived from a general principle.

• A mathematical statement that is always false.

opposite

• Operations that 'undo' each other. Example, multiplying and dividing.

• Operations that are similar in nature. Example, adding and subtracting.

• Operations that result in the same value. Example, multiplying by one.

• Operations that are performed in sequence. Example, adding and multiplying.

formula

• A literal equation that shows how one variable is related to one or more other variables.

• A numerical expression that represents a quantity.

• A graphical representation of data points.

• A set of instructions for solving a problem.