Math Equations Quiz

Joey’s cleaning service charges $50 per week to clean a home. Amy’s cleaning service charges $50 per week, plus $25 for cleaning supplies. Which equation can be used to express the amount that Amy’s cleaning service charges?

Zoe and Mimi each charge their customers $15 per hour to rent bikes. Mimi also collects a $30 flat fee from each customer. Which equation can be used to express the amount Mimi charges to rent a bike for x hours?

A gym charges a one-time initiation fee of $75, plus a monthly fee of $50. Let c represent the total cost, and m represent the number of months. Select from the numbers and letters in the boxes to model the total cost of the gym membership.

(a)  

A streaming video plan costs $40 to set up and $25 per month. Let c represent the total cost, in dollars, of using the plan for m months. Select from the numbers and letters in the boxes to model the cost of the streaming video plan.

(a)  

Tai designed a staircase with a height-to-base ratio of 3:5. The height of the staircase is 9 feet. What should the base of Tai’s staircase measure?

(a)  

Select all that apply. Bruno designed a skateboard ramp with a 1:3 height-to-base ratio. Which of the following triangles have a 1:3 height-to-base ratio?

Cassie is designing a wheelchair ramp for a school. Her original design had a height of 3 feet and a base of 24 feet. Her new design must have a height of 3 feet and a height-to-base ratio of 1:12. How long will the base of the ramp be in the new design?

A website company charges $900 for developing a website and $150 for annual maintenance. What are the total fees for building a new website and maintaining it for 3 years?

A taxi charges a $3 initial fee, plus $1.50 per mile traveled. What is the total cost of a 4.5-mile taxi trip?

Steve, a restaurant owner, pays $2.75 per pound for organic lettuce. He also pays $50 for the lettuce to be delivered to his restaurant. Select from the numbers in the boxes to estimate how many pounds of lettuce Steve can purchase and have delivered for $220. Steve can purchase about (a)   pounds of organic lettuce and have it delivered to his restaurant for $220.