Topic B Vocabulary Words

Front

Addition Property of Equality

Back

A property stating that if you add the same number to both sides of an equation, the two sides remain equal.

Front

Combine Like Terms

Back

The process of simplifying an expression by adding or subtracting terms that have the same variable raised to the same power.

Example: 3x-6 =18-9x

3x-(3x)-6=18-9x-(3x)

-6=18-12x

Front

Distributive Property

Back

A property that allows you to multiply a sum by distributing the multiplication to each addend, expressed as a(b + c) = ab + ac.

Front

Infinitely Many Solutions

Back

A situation in an equation where there are countless solutions that satisfy the equation, often occurring when two equations represent the same line.

Front

Linear Equation

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

Linear Expression

Back

An expression that represents a straight line when graphed, consisting of variables raised only to the first power and does not include any products of variables.

Front

Linear Terms

Back

Terms in an expression or equation that include a variable raised to the first power, represented in the form ax, where a is a coefficient and x is the variable.

Front

Multiplication Property of Equality

Back

A property stating that if you multiply both sides of an equation by the same non-zero number, the two sides remain equal.

Front

Nonlinear Equation

Back

An equation that does not form a straight line when graphed, which may include variables raised to powers other than one or involve products of variables.

Front

No Solution

Back

A scenario in which an equation has no values that can satisfy it, often occurring when two lines are parallel and never intersect.