Solving One-Step Inequalities: Addition and Subtraction Techniques

The video tutorial by Mr. J covers solving one-step inequalities using addition and subtraction. It explains the process of isolating the variable by applying inverse operations and maintaining balance on both sides of the inequality. The tutorial highlights the difference between equations and inequalities, emphasizing that inequalities have infinite solutions. Through four examples, Mr. J demonstrates how to solve inequalities and verify solutions by substituting values. The video concludes with a summary of the steps involved in solving one-step inequalities.

What is the main difference between solving equations and inequalities?

• Equations have multiple solutions, while inequalities have one solution.

• Equations have one solution, while inequalities have multiple solutions.

• Equations and inequalities both have one solution.

• Equations and inequalities both have multiple solutions.

In the inequality x + 3 > 7, what operation is used to isolate x?

• Dividing by 3

• Subtracting 3

• Adding 3

• Multiplying by 3

If x + 3 > 7, which of the following is a correct solution?

• x = 4

• x = 5

• x = 6

• x = 3

In the inequality w - 15 ≤ 20, what operation is used to isolate w?

• Multiplying by 15

• Dividing by 15

• Adding 15

• Subtracting 15

If w - 15 ≤ 20, which of the following is a correct solution?

• w = 30

• w = 20

• w = 10

• w = 40

In the inequality r - 8 > 4, what operation is used to isolate r?

• Adding 8

• Subtracting 8

• Multiplying by 8

• Dividing by 8

If r - 8 > 4, which of the following is a correct solution?

• r = 10

• r = 14

• r = 16

• r = 12

In the inequality 5 ≥ y + 9, what operation is used to isolate y?

• Dividing by 9

• Multiplying by 9

• Subtracting 9

• Adding 9

If 5 ≥ y + 9, which of the following is a correct solution?

• y = -2

• y = -6

• y = -8

• y = -4

Which of the following inequalities represents the solution y ≤ -4?

• y + 9 ≤ 5

• y + 4 ≤ 9

• y - 4 ≤ 5

• y + 9 ≥ 5