Inequalities and Word Problems

The video tutorial teaches how to solve word problems using inequalities. It provides two examples: choosing a cell phone plan and deciding between a zoo or museum for a field trip. The tutorial emphasizes common mistakes, such as writing inequalities incorrectly, and demonstrates step-by-step solutions, including checking answers. The lesson concludes with a summary of the key concepts learned.

What is the monthly charge for Plan X?

• $40 for unlimited texts

• $20 plus $0.05 per text

• $50 for unlimited texts

• $30 plus $0.02 per text

Which symbol represents 'greater than'?

• ≤

• =

• >

• <

What is the first step in solving an inequality with parentheses?

• Subtract variables from both sides

• Distribute the number outside the parentheses

• Multiply both sides by a constant

• Add numbers to both sides

In the inequality 3x > 2x + 7, what should be done next after adding 5 to both sides?

• Multiply both sides by 2

• Subtract 3x from both sides

• Add 7 to both sides

• Subtract 2x from both sides

What is the flat fee for the museum in the field trip problem?

• $100

• $150

• $250

• $200

How many students need to attend for the museum to be a better deal?

• More than 35

• More than 20

• More than 25

• More than 30

What operation is used to isolate 's' in the inequality 150 < 5s?

• Subtract 5 from both sides

• Add 5 to both sides

• Multiply both sides by 5

• Multiply both sides by 1/5

What is the purpose of checking the solution with a number greater than 30?

• To ensure the zoo is more expensive

• To verify the inequality is true

• To check if the museum is cheaper

• To find the exact number of students

Why is it logical that more than 30 students are needed for the museum to be a better deal?

• Because the museum has a higher flat fee

• Because the zoo has a lower flat fee

• Because the zoo charges more per student

• Because the museum charges less per student

What is the final step in verifying the solution to the field trip problem?

• Check the inequality with 50 students

• Check the inequality with 40 students

• Check the inequality with 20 students

• Check the inequality with 30 students