Understanding One-Step and Two-Step Inequalities

The video tutorial by Mr. J covers solving one-step and two-step inequalities. It begins with an introduction to inequalities, explaining the importance of isolating the variable and using inverse operations. The tutorial then delves into solving one-step inequalities using addition, subtraction, multiplication, and division, highlighting the need to flip the inequality symbol when multiplying or dividing by a negative number. Finally, it addresses two-step inequalities, providing examples and emphasizing the reverse order of operations to isolate the variable.

What is the inverse operation used to solve the inequality W + 7 ≥ 15?

• Addition

• Division

• Multiplication

• Subtraction

If x + 4 < 9, what is the solution for x?

• x ≥ 5

• x = 5

• x < 5

• x > 5

In the inequality y - 2 > 5, what operation should be used to isolate y?

• Addition

• Division

• Subtraction

• Multiplication

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

• It remains the same

• It becomes an equal sign

• It flips direction

• It disappears

For the inequality 5x ≤ 10, what is the solution for x?

• x < 2

• x > 2

• x ≤ 2

• x ≥ 2

When solving 36 > -4a, what must be done to the inequality symbol after dividing by -4?

• Remove it

• Flip it

• Keep it the same

• Change it to an equal sign

In the inequality D / 10 > 6, what operation is needed to solve for D?

• Addition

• Subtraction

• Division

• Multiplication

What is the solution for x in the inequality x / -7 ≤ -3?

• x ≥ 21

• x ≤ 21

• x > 21

• x < 21

In a two-step inequality like 7X - 3 > 18, which operation should be undone first?

• Subtraction

• Addition

• Division

• Multiplication

For the inequality y / -2 + 5 ≥ 9, what is the first step to isolate y?

• Multiply by -2

• Divide by -2

• Subtract 5

• Add 5