Inequality and Equations Word Problems

A group of mountain climbers begin an expedition with 250 pounds of food. The plan to eat a total of 12 pounds of food per day. Write a linear equation to find the number of days their food will last.

• y = 250 + 12x

• y = 250 - 12x

• 0 = 250 - 12x

• y = 250 - 12(0)

A landscaping company bought a total of 25 plants and trees. The total cost of the plants and trees was $964. Each plant costs $12, while each tree costs $95. Which set of equations correctly represents this situation?

• p + t = 25

  12p + 95t = 964

• p + t = 964

  95p + 12t = 25

• 107pt = 964

  12p + 95t = 107

• 25p = 964

Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13. 

• 7x + 13y < 81

• 7x + 13y ≥ 81

• 7x + 13y ≤ 81

• 7x + 13y > 81

Write the linear inequality in standard form for this situation: The CRHS science department can spend no more than $2700 on textbooks this year. The department needs to buy both Biology text books, which cost $57 each, and Chemistry textbooks, which cost $72 each.

• 57x + 72y ≥ 2700

• 57x + 72y > 2700

• 57x + 72y < 2700

• 57x + 72y ≤ 2700

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.

Fill in the blank to represent this situation.

​ (a)   x + ​ (b)   y​ (c)   ​ 4,500.

• 250

• 50

Tags

AI.9.2.H

Find the intial value

• 0

• 3

• 4

• 5

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

• y = 20x + 5

• y = 5x +20

Which situation can be represented by the inequality
15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

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

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven.  What is an equation that can be used to find the number of miles, m, a vehicle was driven, if the total rental charge was $222.50?

• 222.5 = m(35 + 0.75)

• 222.5 = 35 + 0.75m

• 222.5 = 0.75 + 35m

• 222.5 = 0.75(m + 35)