Unit 5 Test A1.REI.C

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that relates a linear expression to a value using inequality symbols (e.g., <, >, ≤, ≥). It represents a region of the coordinate plane.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a boundary line. Then, use a dashed line for < or > and a solid line for ≤ or ≥. Shade the region that satisfies the inequality.

Front

What does the solution to a system of equations represent?

Back

The solution to a system of equations represents the point(s) where the graphs of the equations intersect, indicating the values of the variables that satisfy all equations simultaneously.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution (≤ or ≥), while a dashed line indicates that points on the line are not included ( < or >).

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 does it mean for a point to be a solution to an inequality?

Back

A point is a solution to an inequality if it satisfies the inequality when the coordinates of the point are substituted into the inequality.

Front

Back

Front

How do you determine if a point is a solution to a system of inequalities?

Back

To determine if a point is a solution to a system of inequalities, substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.

Front

What is the significance of the intersection of two lines in a system of equations?

Back

The intersection of two lines represents the unique solution to the system, where both equations are satisfied by the same values of the variables.