Unit 4 Test Review

Front

What is a system of linear inequalities?

Back

A system of linear inequalities consists of two or more inequalities that share the same variables. The solution is the region where the graphs of the inequalities overlap.

Front

How do you graph a linear inequality?

Back

1. Graph the corresponding linear equation as a boundary line. 2. Use a dashed line for < or > and a solid line for ≤ or ≥. 3. Shade the region that satisfies the inequality.

Front

What does it mean for a system of equations to have infinite solutions?

Back

A system of equations has infinite solutions when the equations represent the same line, meaning every point on the line is a solution.

Front

How do you determine if a system of equations has no solution?

Back

A system of equations has no solution if the lines are parallel and never intersect, indicating that there is no point that satisfies both equations.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the remaining variable.

Front

What is a linear equation?

Back

Front

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

Back

Front

How do you find the y-intercept of a linear equation?

Back

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) has exactly one output (y-value). A relation can have multiple outputs for a single input.