Unit 5a End of Unit Assessment

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares 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

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 the solution area of a system of inequalities represent?

Back

The solution area of a system of inequalities represents all the points (x, y) that satisfy all inequalities in the system.

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 intersection point of two linear equations?

Back

To find the intersection point, solve the system of equations simultaneously, either by substitution or elimination.

Front

What does it mean for a point to be a solution to a system of equations?

Back

A point is a solution to a system of equations if it satisfies all equations in the system.

Front

What is the significance of the y-intercept in a linear equation?

Back

Front

What is the standard form of a linear equation?

Back

Front

How do you determine if a point lies within the solution area of a linear inequality?

Back

To determine if a point lies within the solution area, substitute the point's coordinates into the inequality. If the inequality holds true, the point is in the solution area.