1st Semester Algebra Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean if a system of equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The lines representing the equations are the same line, meaning they overlap completely.

Front

What is a function?

Back

A relation where each input has exactly one output.

Front

What is the slope of a line?

Back

The rate of change of the y-value with respect to the x-value, often represented as 'm' in the equation of a line.

Front

How do you find the slope from a word problem?

Back

Identify the change in the dependent variable (y) per unit change in the independent variable (x).

Front

What does it mean if two lines intersect at one point?

Back

The system of equations has one unique solution.

Front

What is the graphical representation of a function?

Back

A graph where each x-value corresponds to only one y-value.

Front

What is the difference between a linear equation and a nonlinear equation?

Back

A linear equation graphs to a straight line, while a nonlinear equation graphs to a curve.

Front

What is an inequality?

Back

A mathematical statement that compares two expressions and shows that one is greater than, less than, or equal to the other.