Understanding One-Step Addition Inequalities

This video tutorial by Mr. J covers how to solve and graph one-step addition inequalities. It explains the process of isolating the variable using inverse operations, similar to solving equations. The video provides two examples: solving x + 12 > 18 and a + 9 ≤ 3, demonstrating how to graph the solutions on a number line. The tutorial emphasizes checking solutions to ensure correctness and concludes with a recap of the key steps involved in solving and graphing inequalities.

What is the first step in solving a one-step addition inequality?

• Divide both sides by the same number

• Isolate the variable using inverse operations

• Multiply both sides by the same number

• Add the same number to both sides

In the inequality x + 12 > 18, what operation should be used to isolate x?

• Multiplication

• Addition

• Subtraction

• Division

How do you represent x > 6 on a number line?

• An open circle at 6 with an arrow pointing left

• A filled circle at 6 with an arrow pointing right

• An open circle at 6 with an arrow pointing right

• A filled circle at 6 with an arrow pointing left

Which value can be used to verify the solution x > 6?

• 8

• 7

• 6

• 5

What is the inverse operation needed to solve a + 9 ≤ 3?

• Subtraction

• Addition

• Division

• Multiplication

What is the solution to the inequality a + 9 ≤ 3?

• a ≤ -12

• a > -12

• a < -12

• a ≥ -12

How is a ≤ -12 represented on a number line?

• An open circle at -12 with an arrow pointing right

• A filled circle at -12 with an arrow pointing left

• An open circle at -12 with an arrow pointing left

• A filled circle at -12 with an arrow pointing right

Which value can be used to verify the solution a ≤ -12?

• -14

• -12

• -11

• -10

What is the result of substituting -12 into the inequality a + 9 ≤ 3?

• -3

• 0

• 3

• 6

Why is it important to verify solutions in inequalities?

• To confirm the solution satisfies the inequality

• To find the exact value of the variable

• To ensure the variable is isolated

• To check if the graph is correct