Create Equations and Inequalities

Jacob collects hats.  He has 6 hats already, and he collects 2 hats a week. Which equation represents the number of hats Jacob has (y) after x number of weeks?

• y = 2x + 6
• y = 6x + 2
• y = 2x - 6
• y = 6x - 2

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven.  Which equation represents the cost of renting a car (y) and driving it x miles?

• y = x(35 + 0.75)
• y = 35x + 0.75
• y = 0.75x + 35
• y = 0.75(x + 35)

A plant is 5cm tall and growing at a rate of 3cm a month. Which equation represents the height of the plant (Y) after x months?

• y = 5 + 3
• y = 5x + 3
• y = 3x + 5
• y = 3x + 5x

A man is climbing down from 100 feet high descending 30 feet per minute. Which equation represents how high up the man is (y) after x minutes?

• y = 100 - 30x
• y = 100 + 30x
• y = 100x + 30
• y = 100x - 30

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?

To order from the kids menu a person must be no more than 12 years old. Which expression represents the age of all kids that can order off the kids menu if x represents age?

• x > 12
• x < 12
• x ≥ 12
• x  ≤ 12

Match the inequality to the word problem.

Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks. How many dogs would Katie have to walk to reach her goal of $200?

• 25 - 12x ≥ 200
• 25 + 12x ≥ 200
• 13x ≥ 200
• 25 + 12x > 200

A student must be at least 15 years old to obtain a driver’s permit. Which expression represents the age of all students who can obtain a drivers permit if x is age?

• x > 15
• x < 15 
• x ≤ 15
• x ≥ 15

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Which inequality represents this scenario if “x” represents the number of games Cameron can play?

• 6x + 8 > 42
• 8x + 6 ≤ 42
• 6x + 8 ≥ 42
• 8x + 6 < 42

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile.  Katie has no more than $10 to spend on the taxi ride.

• 1.75 + 0.65m < 10
• 1.75 + 0.65m > 10
• 1.75m + 0.65 < 10
• 1.75m + 0.65 > 10