Create Linear Inequalities Word Problems

The Bombetta Company wants to send a team of three representatives to a conference.  Their budget is $700.00 plus $125.00 per day for expenses.  If their total budget cannot exceed $1,400.00, which of the following inequalities expresses this situation?

• 125x + 700 ≥1,400

• 700 + 125x ≤1,400

• 700x + 125 ≤1,400

• 125x - 700 ≤ 1,400

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

• 125x + 55 ≤ 600

• 125x + 55 ≥ 600

• 125x + 55 > 600

• 125x + 55 < 600

Jacob has x $5 bills and y $50 bills in his wallet. The total value of the bills is no more than $350. Create an inequality that models this situation. ( start with x )

• 5x

• 50y

• 350

• 50x

• 5y

• <

A university will spend at most $4,500 to buy monitors and keyboards for a computer lab. Each monitor will cost $250, and each keyboard will cost $50.

Write an inequality that represents all possible combinations of x, the number of monitors, and y, the number of keyboards, the university can buy for the computer lab?

Use Standard Form.

Must include x and y,

Use an inequality sign.

Mathematical Equivalence

ON

At the Big Bear video rental store, blank CDs cost $1.50 each and blank DVDs cost $3.25 each.  Which of the following statements best describes the number of CDs (c) and DVDs (d) that can be purchased for less than $65.00?

• 150c + 325d < 6,500

• 325c + 150d <6,500

• 150c + 325d ≤ 6,500

• 325c + 150d ≤ 6,500

A donut shop charges $0.70 for each donut and $0.30 for a carryout box.  Shirley has $5.00 to spend.  She needs to determine the most donuts (x) she can buy when she only puts them in one carryout box.  Which equation can be used to answer this problem?

• 70x + 30 < 500

• 30x + 70 < 500

• 70x + 30 ≤500

• 30x + 70 ≤ 500

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• 10x + 1.50 ≥ 40

• 1.50x + 10 ≤ 40

• 1.50x + 10 <40

• 10x + 1.50 < 40

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

• 5x + 10 ≥ 100

• 5x - 100 ≥ 10

• 10x + 5 ≤ 100

• 5x + 10 > 100

Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?

• 20x + 120 ≥ 3

• x/3 + 20 ≤ 120

• 3x + 20 ≤ 120

• 3x + 20 ≥ 120

Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

• 200 + 25x ≥ 500

• 500 + 25x ≥ 200

• 500 - 25x ≥ 200

• 500 - 25x ≤ 200