Inequalities and Word Problems

The video tutorial covers writing and solving one-variable two-step equations and inequalities. It begins with an introduction to the concepts, followed by practical examples such as calculating distances, determining hours worked from a bill, finding river lengths, calculating hourly earnings, and dividing screen time. The tutorial emphasizes using inverse operations to solve equations and inequalities, providing step-by-step guidance for each example.

What is the main objective of today's lesson?

• To learn about geometry

• To write one-variable two-step equations and inequalities

• To study historical events

• To solve complex algebraic equations

What does 'at least' mean in mathematical terms?

• Equal to

• Greater than or equal to

• Less than

• Not equal to

In the plumber's charges problem, what is the first step to solve the equation?

• Multiply both sides by 35

• Add 55 to both sides

• Divide both sides by 35

• Subtract 55 from both sides

How do you determine the length of the Youngstee River?

• Add 1160 to the Nile's length

• Subtract 1160 from the Nile's length

• Multiply the Nile's length by 1160

• Divide the Nile's length by 1160

What is the hourly pay of the waiter?

• $5

• $6

• $7

• $8

How much did each dress cost in the sisters' purchase problem?

• $74.50

• $80.00

• $90.00

• $100.00

How do you set up the equation for Emma and her sister's ages?

• 2e - 9 = 49

• 2e + 9 = 49

• e - 9 = 49

• e + 9 = 49

What is the inequality for the warehouse shipping problem?

• 460 - 65w > 100

• 460 - 65w < 100

• 460 + 65w < 100

• 460 + 65w > 100

How much does Megan need to save each week to buy the phone?

• At least $15

• At least $10

• At least $11.25

• At least $12.50

What is the inequality for the van rental problem?

• 145 + 60d = 625

• 145 + 60d ≤ 625

• 145 + 60d < 625

• 145 + 60d > 625