Inequalities and Word Problems

The video tutorial covers lesson 13, focusing on solving problems using expressions and inequalities. It begins with a savings problem involving Tariq, who wants to buy a tablet. The lesson progresses through calculating savings over several weeks, writing inequalities to generalize the problem, and solving inequalities involving consecutive odd integers. Finally, it addresses a practical problem of spending at a fair, using inequalities to determine the number of rides Connor can afford.

Tariq wants to buy a tablet costing $265.49. He has $40 and saves $38 weekly. How much will he have after two weeks?

• $114

• $78

• $116

• $76

After how many weeks will Tariq have enough money to buy the tablet?

• 5 weeks

• 6 weeks

• 8 weeks

• 7 weeks

What inequality represents the condition for Tariq to have enough money?

• 38w + 40 < 265.49

• 38w + 40 > 265.49

• 38w + 40 ≥ 265.49

• 38w + 40 = 265.49

What is the sum of two consecutive odd integers that is more than -12?

• 2x + 1 + 2x + 3 > -12

• 2x + 3 + 2x + 5 > -12

• 2x + 2 + 2x + 4 > -12

• 2x + 1 + 2x + 2 > -12

What is the smallest integer value of x that satisfies the inequality 4x + 4 > -12?

• -4

• -5

• -2

• -3

Connor has $22.50. After buying a hot dog and drink for $3.75, how much can he spend on ride tickets costing $1.25 each?

• $17.50

• $15.00

• $16.25

• $18.75

How many ride tickets can Connor buy if each costs $1.25 and he has $18.75 left?

• 12 tickets

• 14 tickets

• 10 tickets

• 15 tickets

What inequality represents Connor's spending limit for ride tickets?

• 1.25r + 3.75 ≥ 22.50

• 1.25r + 3.75 ≤ 22.50

• 1.25r + 3.75 < 22.50

• 1.25r + 3.75 > 22.50

If Connor wants to buy 10 ride tickets, will he have enough money?

• Yes, he will have $6.25 left.

• No, he will be short by $1.25.

• Yes, he will have $5.00 left.

• No, he will be short by $0.75.

What is the total cost if Connor buys 10 ride tickets at $1.25 each?

• $12.50

• $15.00

• $10.00

• $16.25