Understanding Inequalities and Expenses

Mr. Richards introduces seventh-grade students to two-step inequalities through real-world problems. The lesson covers Bianca's spending on movie tickets without overdrafting her debit card and determining the weight limit for books in boxes. Students learn to write expressions, solve inequalities, and graph solutions.

What is the initial amount Bianca has on her debit card before any expenses?

• $60

• $50

• $40

• $30

How much does Bianca spend on lunch?

• $20.00

• $6.50

• $10.00

• $14.50

If Bianca buys 3 movie tickets, how much will she spend in total?

• $34.00

• $60.00

• $19.50

• $27.50

What is the inequality used to determine the maximum number of movie tickets Bianca can buy?

• 6.50T - 14.50 ≤ 50

• 6.50T - 14.50 ≥ 50

• 6.50T + 14.50 ≤ 50

• 6.50T + 14.50 ≥ 50

Who wrote the correct inequality for the weight of the boxes problem?

• Kevin

• Neither

• Olivia

• Both

What is the maximum additional weight that can be added to each box?

• 4.00 pounds

• 5.00 pounds

• 3.16 pounds

• 2.50 pounds

What is the solution to the inequality 2/3X - 15 > -24?

• X > -21

• X < -21

• X > 21

• X < 21

What is the reciprocal of 2/3 used in solving the inequality?

• 3

• 3/2

• 2/3

• 1/2

In the inequality 3X ≤ 9.6, what is the value of X?

• X ≤ 2.2

• X ≤ 3.2

• X ≥ 3.2

• X ≥ 2.2

When graphing the inequality X > -21, which direction should the shading be?

• Down

• Up

• Right

• Left