Graphing and Solving Linear Inequalities

What is the first step in solving a linear inequality for y?

• Adding x to both sides

• Subtracting x from both sides

• Dividing both sides by a positive number

• Multiplying both sides by a negative number

What does a dotted line represent in the graph of a linear inequality?

• The line represents the x-intercept

• The line bounds all solutions but is not part of the solution set

• The line itself is part of the solution set

• The line represents the y-intercept

When graphing the inequality y > -1/2x + 2, what type of line should be used?

• Bold line

• Solid line

• Dashed line

• Dotted line

How do you determine which side of the line to shade when graphing an inequality?

• Choose a test point and see if it satisfies the inequality

• Shade the side where the x-intercept is located

• Shade the side where the y-intercept is located

• Shade the side opposite to the origin

In the inequality y > -2x + 4, what is the slope of the line?

• -2

• 2

• 1/2

• -1/2

What is the y-intercept of the line represented by the inequality y > -2x + 4?

• 2

• 4

• -2

• -4

When dividing both sides of an inequality by a negative number, what must you remember to do?

• Flip the direction of the inequality sign

• Keep the inequality sign the same

• Subtract the same number from both sides

• Add the same number to both sides

In the word problem, what does the inequality x + y ≤ 15 represent?

• The power supply to the first appliance must be less than 15 joules

• The total power supply must be less than or equal to 15 joules

• The power supply to the second appliance must be less than 15 joules

• The total power supply must be greater than 15 joules

What is the y-intercept of the line represented by the inequality x + y ≤ 15?

• 10

• 1

• 0

• 15

Can Trevor send 7 joules to the first appliance and 6 to the second appliance?

• No, because 7 + 6 is less than or equal to 15

• Yes, because 7 + 6 is greater than 15

• No, because 7 + 6 is greater than 15

• Yes, because 7 + 6 is less than or equal to 15