Inequalities and Average Test Scores

This video tutorial covers the applications of inequalities, focusing on translating keywords and sentences into inequalities. It provides examples of solving inequality problems, including calculating averages. The video aims to help viewers understand how to apply inequalities in various contexts, such as determining age, speed, weight, and more. By the end, viewers should be able to translate real-world scenarios into mathematical inequalities and solve related problems.

What does the phrase 'at least' translate to in terms of inequalities?

• X is less than

• X is greater than

• X is less than or equal to

• X is greater than or equal to

If a car weighs no more than 1,560 pounds, how would you express this as an inequality?

• X > 1,560

• X < 1,560

• X ≤ 1,560

• X ≥ 1,560

How would you express the statement 'The price exceeded $18,500' as an inequality?

• P < 18,500

• P ≤ 18,500

• P > 18,500

• P ≥ 18,500

If the monthly rental cannot exceed $625, which inequality represents this?

• R > 625

• R < 625

• R ≥ 625

• R ≤ 625

Pete's Plumbing charges a fixed fee plus an hourly rate. If Jonas was billed less than $350, how many hours could the work have taken?

• Less than 5 hours

• Less than 4.75 hours

• Less than 4 hours

• Less than 3.5 hours

If a company bills to the nearest hour, how many hours could Jonas have been billed for?

• Less than 3 hours

• Less than 4 hours

• Less than 4.75 hours

• Less than 5 hours

Samantha wants an average of at least 80 after her fourth test. What is the minimum score she needs on her fourth test?

• At least 70

• At least 80

• At least 68

• At least 75

What is the sum of Samantha's first three test scores?

• 252

• 260

• 240

• 230

If Samantha scores exactly 68 on her fourth test, what will her average be?

• Exactly 80

• Exactly 79

• Exactly 78

• Exactly 82

What inequality represents Samantha's goal for her average test score?

• X ≤ 80

• X > 80

• X ≥ 80

• X < 80