Graphing Systems of Linear Inequalities

What is the main focus of this lesson?

• Factoring polynomials

• Solving quadratic equations

• Graphing systems of linear inequalities

• Graphing linear equations

When graphing the inequality y > -2x - 5, where is the starting point on the y-axis?

• At 2

• At -5

• At -2

• At 5

What type of line is used for the inequality y > -2x - 5?

• Dotted line

• Dashed line

• Solid line

• Bold line

Which test point is commonly used to determine the shading region?

• (1,1)

• (0,0)

• (2,2)

• (-1,-1)

For the inequality y ≤ x + 3, what is the slope of the line?

• 1

• -1

• 3

• -3

What does the overlapping shaded region represent in a system of linear inequalities?

• The solution to one of the inequalities

• The solution to both inequalities

• The area where only one inequality is satisfied

• The area where no solutions exist

What is the first step in converting an inequality to slope-intercept form?

• Subtract the x-term from both sides

• Multiply both sides by the slope

• Add the x-term to both sides

• Divide both sides by the y-intercept

In the example y < -2/3x + 2, what type of line is used?

• Solid line

• Dashed line

• Dotted line

• Bold line

What should you do if the test point (0,0) does not satisfy the inequality?

• Shade the region not containing (0,0)

• Shade the region containing (0,0)

• Change the test point

• Recalculate the slope

What happens to the inequality sign when you divide by a negative number?

• It reverses

• It becomes an equal sign

• It becomes a greater than sign

• It stays the same