Systems of Equations and Inequalities Review

Front

What type of line is used to graph an inequality with ≤ or ≥?

Back

Solid line

Front

Which point is a solution to the system of inequalities: (-8,2), (-3, 1), (0,6), (4, 3)?

Back

(4, 3)

Front

If a system of equations has no solution, what does the graph look like?

Back

Parallel lines

Front

What is the solution to the system of equations 3x + y = 2 and x + 3y = -18?

Back

(3, -7)

Front

Solve the following equations for x and y: -6x + 6y = 6 and 6x - 3y = 12.

Back

(5, 6)

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean for two lines to be parallel in a system of equations?

Back

They have the same slope but different y-intercepts, and do not intersect.

Front

What is the graphical representation of a solution to a system of inequalities?

Back

The region where the shaded areas of the inequalities overlap.

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 (≤ or ≥), while a dashed line indicates they are not ( < or >).

Front

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

Back

Substitute the point into each inequality and check if all inequalities are satisfied.