Solving Inequalities and Number Lines

This video tutorial for 7th graders covers solving two-step inequalities. It begins with an introduction to inequalities and proceeds to solve them using inverse operations. The tutorial explains how to graph inequalities and verify solutions. It also covers more complex inequalities involving negative factors, emphasizing the importance of flipping the inequality sign when dividing by a negative number. The video concludes with practical examples and encourages students to use the tutorial for independent practice.

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

• Add or subtract to isolate the variable

• Divide both sides by a constant

• Flip the inequality sign

• Multiply both sides by a constant

When solving the inequality -2x - 18 > -8, what operation should be performed first?

• Add 18

• Subtract 18

• Multiply by -2

• Divide by -2

Why do we flip the inequality sign when dividing by a negative number?

• To change the direction of the graph

• To make the equation easier to solve

• To simplify the variable

• To maintain the inequality's truth

What does an open circle on a number line represent?

• The number is included in the solution

• The inequality sign is flipped

• The number is not included in the solution

• The inequality is an equation

In the inequality (2/3)x + 5 <= 11, what is the reciprocal of 2/3?

• 2/3

• 3/2

• 3

• 1/2

What is the solution to the inequality (2/3)x + 5 <= 11 after solving?

• x > 9

• x < 9

• x >= 9

• x <= 9

When solving -4 - x > 10, what is the first step?

• Subtract 4 from both sides

• Divide by -1

• Add 4 to both sides

• Multiply by -1

What is the final solution to the inequality -4 - x > 10?

• x < -14

• x > -14

• x <= -14

• x >= -14

Why is it important to test a solution on a number line?

• To ensure the graph is drawn correctly

• To verify the solution satisfies the inequality

• To check if the inequality sign is correct

• To find the exact value of the variable

What does a closed circle on a number line indicate?

• The inequality sign is flipped

• The number is part of the solution

• The inequality is strict

• The number is not part of the solution