Write and Solve Equations with One Variable

Question 1: The length of a rectangle is 3 less than the rectangle’s width. If the rectangle’s perimeter is 334, write an equation to model this situation.

Question 2: A small business builds wooden toys. They sell each toy for $15. Each toy costs $5 to make and the business has $440 in other expenses every month. How many toys need to be sold each month for the business to break even?

Question 3: A plant is currently 3 feet tall and grows at a rate of 1 foot per year. Another plant is currently 1 foot tall but grows at a rate of 2 feet per year. When will the 2 plants be the same height?

Question 4: A social club charges a membership fee of $40 per month and then charges $2 per drink. You can also decline the membership fee and pay $4 per drink. After how many drinks is the cost of membership the same as not getting the membership?

Question 5: True or False: When setting up equations with one variable. It’s helpful to start by labeling your variable?