Unit 4 Test

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 to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system simultaneously.

Front

What is substitution in solving equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into another equation.

Front

What is the graphical representation of a system of equations?

Back

The point(s) where the graphs of the equations intersect represent the solution(s) of the system.

Front

What is the meaning of 'no solution' in a system of equations?

Back

It means that the equations represent parallel lines that never intersect.

Front

What is the meaning of 'infinite solutions' in a system of equations?

Back

It means that the equations represent the same line, so every point on the line is a solution.

Front

How do you check if a solution is correct for a system of equations?

Back

Substitute the solution values back into the original equations to see if they hold true.

Front

What is the elimination method in solving systems of equations?

Back

A method where you add or subtract equations to eliminate one variable, making it easier to solve for the other.

Front

What is the slope-intercept form of a linear equation?

Back

The form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope indicates the steepness of the line and the direction it goes (rise over run).