Graphing Two-Step Inequalities on a Number Line

The video tutorial covers solving two-step equations and inequalities, emphasizing the use of inverse operations. It explains the key difference when dealing with inequalities, particularly when multiplying or dividing by negative values, which requires flipping the inequality sign. The tutorial also demonstrates how to graph inequalities on a number line and provides practice problems to reinforce the concepts.

What is the main difference between solving a two-step equation and a two-step inequality?

• The type of operations used

• The number of steps involved

• The use of variables

• The need to flip the inequality sign when multiplying or dividing by a negative number

What is the first step in solving a two-step equation?

• Divide both sides by a constant

• Add a constant to both sides

• Multiply both sides by a constant

• Identify the operations applied to the variable

In the equation 3x - 5 = 7, what is the first operation to undo?

• Subtract 5

• Multiply by 3

• Add 5

• Divide by 3

After adding 5 to both sides of the equation 3x - 5 = 7, what is the next step?

• Subtract 5 from both sides

• Divide both sides by 3

• Add 3 to both sides

• Multiply both sides by 3

What is the solution to the equation 3x - 5 = 7?

• x = 4

• x = 3

• x = 2

• x = 5

When solving the inequality 2x - 8 > 2, what is the first step?

• Subtract 8 from both sides

• Add 8 to both sides

• Multiply both sides by 2

• Divide both sides by 2

What happens to the inequality sign when you multiply or divide both sides by a negative number?

• It disappears

• It becomes an equal sign

• It stays the same

• It flips

In the inequality 2x - 8 > 2, what is the solution for x?

• x > 4

• x < 4

• x > 5

• x < 5

How do you represent the solution x > 5 on a number line?

• A closed circle at 5 with an arrow pointing right

• An open circle at 5 with an arrow pointing right

• An open circle at 5 with an arrow pointing left

• A closed circle at 5 with an arrow pointing left

Which value is a good test point to verify the direction of the inequality on a number line?

• 10

• 0

• 5

• 1