Introduction to Systems of Linear Equations — Quiz Answers

Diana is comparing the membership costs at two fitness centers. The community fitness center costs $60 per month. The fitness center located where she works has a $100 registration fee and costs $40 per month. After how many months of membership will the costs be the same?

For a summer job, Lucy is in charge of chickens and sheep. There are 16 animals total. The number of chickens, y , is 4 less than the number of sheep, x Which ordered pair x comma y represents the number of chickens and sheep?

Melinda takes out a loan to purchase a car. The balance on her loan after x months is represented by the equation y is equal to 10,000 minus 250 x and the value of the car after x months is represented by y is equal to 8,000 minus 50 x Which statement describes when Melinda’s loan will be equal to the value of the car?

Tamara is creating a model of a rectangle. She has 26 inches of yellow ribbon to use for the border of the rectangle. She wants the length, l , to be 3 inches greater than the width, w Which system of equations could Tamara use to find the dimensions of a rectangle that uses all of the ribbon?

The cost in dollars to produce x cups of lemonade is represented by the function cap C of x is equal to 10 plus 0 point 20 x The revenue in dollars earned by selling x cups of lemonade is represented by the function R of x is equal to 0 point 50 x What is the minimum number of whole cups of lemonade that must be sold for the revenue to exceed the cost?

Pam opened a banking account with $⁢100 and deposits $⁢50 each month. Eric opened a banking account with $⁢1,100 and makes no deposits. After how many months will Pam and Eric have the same amount in their bank accounts, assuming there is no interest? Enter your answer in the box. [Blank 1] months

The product of two numbers is 32 The first number, x , is one-half of the second number, x Which system of equations can be used to find the two numbers?

The sum of two numbers is 12 The first number, x , is twice the second number, y Which system of equations could be used to find the two numbers?

Marena spends a certain amount of time editing each large and small document. In one week, she spends a total of 42 hours to edit 6 large documents and 9 small documents. The next week, she spends 34 hours editing 3 large documents and 11 small documents. Assume it takes her the same amount of time to edit each type of document every week. How can you model this situation with a system of equations? Let x represent the time it takes Marena to edit one large document and y represent the time it takes to edit one small document. Enter your answer in each box. 6⁢x+ [Blank 1] y= [Blank 2] and [Blank 3] x+11⁢y= [Blank 4]

The sum of two numbers is 28 The first number, is three times the second number, y Which system of equations can be used to find the two numbers?