Understanding Two-Step Inequalities

In this video, Mr. J explains how to solve two-step inequalities by isolating the variable using inverse operations. He emphasizes the importance of flipping the inequality symbol when multiplying or dividing by a negative number. The video includes a detailed example problem, demonstrating each step of the process, and concludes with a verification of the solution. Additional resources for further practice are provided.

What is the primary goal when solving a two-step inequality?

• To eliminate all numbers

• To isolate the variable on one side

• To find the value of the inequality

• To make both sides equal

Tags

CCSS.7.EE.B.4

Which operation should be undone first when solving the inequality y / -2 + 5 ≥ 9?

• Multiplication

• Division

• Addition

• Subtraction

Tags

CCSS.7.EE.A.1

CCSS.7.EE.B.4

What happens to the inequality symbol when both sides are multiplied by a negative number?

• It remains the same

• It flips direction

• It becomes an equal sign

• It disappears

Tags

CCSS.7.EE.B.4

If y / -2 + 5 ≥ 9, what is the value of y after isolating it?

• y ≥ -8

• y ≤ -8

• y ≥ 8

• y ≤ 8

Tags

CCSS.7.EE.A.1

CCSS.7.EE.B.3

CCSS.7.EE.B.4

Why is it important to check the solution of an inequality?

• To change the inequality symbol

• To ensure the variable is isolated

• To verify the solution satisfies the original inequality

• To practice more problems

Tags

CCSS.7.EE.B.3

CCSS.7.EE.B.4

What value of y is used to verify the solution of the inequality y ≤ -8?

• 0

• -10

• -8

• -6

Tags

CCSS.7.EE.B.3

CCSS.7.EE.B.4

What is the result of substituting y = -10 into the inequality y / -2 + 5 ≥ 9?

• 5 is less than 9

• 10 is greater than or equal to 9

• 10 is less than 9

• 5 is greater than 9

Tags

CCSS.7.EE.B.3

CCSS.7.EE.B.4

What is the result of substituting y = -8 into the inequality y / -2 + 5 ≥ 9?

• 8 is equal to 9

• 9 is less than 9

• 9 is equal to 9

• 9 is greater than 9

Tags

CCSS.7.EE.B.3

CCSS.7.EE.B.4

What should you do if you want more examples of solving two-step inequalities?

• Try solving different types of equations

• Look for additional resources in the description

• Watch the same video again

• Ignore the examples

Tags

CCSS.7.EE.B.4

What is the key takeaway from the video on solving two-step inequalities?

• Never multiply by a negative number

• Inequalities are harder than equations

• Always flip the inequality symbol

• Use inverse operations to isolate the variable

Tags

CCSS.7.EE.B.4