Systems of Equations Unit Test

• True
• False

Callie has a new kitten. The kitten weighs 3 pounds less than half the weight of Callie's cat. Together, the cat and the kitten weigh 18 pounds. Which system of equations could be used to find the weight of each animal?

Which of these systems of equations has infinitely many solutions?

An online video streaming service offers two plans for unlimited streaming. Plan A has a one-time $25 membership fee and is $8 per month. Plan B has a $5 membership fee and is $12 per month.

Part A

Write a system of equations that represents the two plans.

Part B

For which months is Plan A the less expensive option? For which months is plan B the less expensive option?

Part C

If the membership fee for Plan B is dropped, how does that change your answer to part B? Why?

Xavier is considering two lawn care services. Premier Landscaping charges $15 for travel to Xavier's house and $55 per hour for hour for maintaining his lawn. Ace Landscaping does not have a travel fee, but charges $65 per hour for lawn maintenance.

Part A

Write a system of equations that represents the lawn care services.

Part B

Without solving the system of equations, explain what the solution represents.