Writing Linear Inequalities from Word Problems

The video tutorial covers the application of linear inequalities in real-world situations. It begins with an introduction to linear inequalities and the importance of using inequality signs instead of equal signs. The tutorial explains the meanings of different inequality signs and provides examples to illustrate their application. Three examples are discussed: Natalie's shopping budget, Zoe's piggy bank, and Gage's Chick-fil-A budget. Each example demonstrates how to write and solve inequalities based on given conditions, helping students understand how to apply these concepts in practical scenarios.

What does the inequality sign '<' represent in real-world terms?

• Equal to

• No more than

• At least

• Greater than

What does the inequality sign '≥' imply in real-world scenarios?

• None of the above

• Not less than

• Exactly equal to

• Less than

In the context of linear inequalities, what does 'at most' signify?

• ≥

• ≤

• >

• <

If Natalie buys two pairs of pants, what is the maximum number of shirts she can afford?

• 4 shirts

• 3 shirts

• 2 shirts

• 5 shirts

How many shirts can Natalie buy if she spends all her money on pants?

• 3 shirts

• 1 shirt

• 2 shirts

• 0 shirts

Is it possible for Zoe to have 10 nickels and 26 dimes in her piggy bank?

• Only if she removes some dimes

• Only if she adds more nickels

• No

• Yes

How many dimes must Zoe have at a minimum to ensure her piggy bank has at least $6?

• 55 dimes

• 50 dimes

• 47 dimes

• 45 dimes

For Zoe's scenario, what represents the value of a dime in the inequality?

• 0.05

• 0.2

• 0.1

• 0.15

What is the maximum number of eight-piece nugget entrees Gage and two friends can buy with $15?

• 4 entrees

• 6 entrees

• 5 entrees

• 3 entrees

If two of them buy a small soda, how many nugget entrees can they still afford?

• 2 entrees

• 5 entrees

• 3 entrees

• 4 entrees