Solving Multi-Step Inequalities

The video tutorial introduces students to the concept of inequalities, explaining that they represent expressions that are not equal. The instructor demonstrates how to write and solve inequalities using inverse operations, emphasizing the importance of flipping the inequality sign when multiplying or dividing by a negative number. The tutorial includes practical examples, such as comparing financial situations and a scenario involving calculator sales, to illustrate the application of inequalities in real-world contexts. The session concludes with a reminder of common mistakes and the importance of logical reasoning in solving inequalities.

What is the main focus of today's lesson?

• Solving equations

• Writing and solving inequalities

• Learning about fractions

• Graphing functions

What is the first step in solving the inequality 3 + (-4x) ≤ -12x - 13?

• Divide both sides by 4

• Subtract 3 from both sides

• Add 4x to both sides

• Multiply both sides by -1

What happens to the inequality sign when you divide both sides by a negative number?

• It stays the same

• It flips

• It becomes an equal sign

• It disappears

If Miss Green starts with $500 and spends $15 per week, and Miss Grove starts with $800 and spends $35 per week, when will Miss Green have more money than Miss Grove?

• After 10 weeks

• After 15 weeks

• After 20 weeks

• After 25 weeks

What was the mistake made in the inequality problem involving Miss Green and Miss Grove?

• Incorrectly writing -20x instead of 20x

• Incorrectly dividing by 20

• Incorrectly subtracting 500

• Incorrectly adding 35x

What is the correct solution to the inequality problem involving Miss Green and Miss Grove?

• x > 15

• x > 10

• x > 20

• x > 25

In the calculator sales problem, how much does Miss Green make per week?

• $100

• $115

• $225

• $150

How much does Miss Green make per calculator she sells?

• $50

• $75

• $100

• $150

How many calculators would Miss Grove need to sell to make more than Miss Green?

• 2

• 3.5

• 2.5

• 3

What color is the pen used by the teacher at the end of the video?

• Purple

• Red

• Blue

• Black