Writing and Solving Two-Step Inequalities

This video tutorial covers writing and solving two-step inequalities. It begins with an introduction to the concept, followed by two practical examples. The first example involves calculating the maximum number of gifts Bob can buy within a $100 budget, considering a flat shipping rate and individual gift costs. The second example addresses George's concern about his car's gasoline freezing in Antarctica, calculating the maximum time he has before the temperature drops to a critical level. The video concludes with a reminder to practice these concepts in class.

What is the first step in writing and solving two-step inequalities?

• Combine the skills of writing equations and solving inequalities.

• Memorize the inequality rules.

• Use a calculator for all steps.

• Ignore the inequality signs.

Bob wants to spend at most how much on gifts for his friends?

• $50

• $100

• $150

• $200

What is the flat rate cost for shipping in Bob's problem?

• $20

• $16

• $25

• $10

How much does each gift cost in Bob's problem?

• $2

• $5

• $3

• $4

What inequality represents the total cost Bob can spend?

• 3x + 16 ≥ 100

• 3x + 16 ≤ 100

• 3x + 16 < 100

• 3x + 16 > 100

What is the first step in solving the inequality 3x + 16 ≤ 100?

• Multiply both sides by 3.

• Subtract 16 from both sides.

• Add 16 to both sides.

• Divide both sides by 3.

What is the final number of gifts Bob can buy?

• 30

• 28

• 25

• 20

What is the freezing point of gasoline in George's problem?

• -40 degrees Celsius

• -35 degrees Celsius

• -30 degrees Celsius

• -45 degrees Celsius

At what rate does the temperature drop every hour in George's problem?

• 3 degrees

• 4 degrees

• 6 degrees

• 5 degrees

How many hours does George have before his gasoline freezes?

• 14 hours

• 12 hours

• 10 hours

• 16 hours