Solving Linear Systems Graphically — Unit test Answers

What is the value of w in the solution to the following system of linear equations?

Evan washes two types of vehicles. It takes him 30 minutes to wash a car and 40 minutes to wash a truck. He charges $12 to wash a car and $15 to wash a truck. In 270 minutes, Evan made $105 washing cars and trucks. How many trucks did Evan wash?

What is the point of intersection when the system of equations below is graphed on the coordinate plane?

Which statement describes the system of equations?

Which system of equations is consistent and dependent?

Raj tried to solve the system below. Raj’s Work What error did Raj make?

Brandi is downloading music for her MP3 player. Albums cost $10 each, and singles cost $1 each. She wants to purchase at least 5 singles but wants to spend no more than $25 total. If Brandi purchases x albums and y singles, which of the following is a possible combination of albums and singles that Brandi could purchase and stay within her guidelines?

What is the value of y in the solution to the following system of linear equations?

A school choir has 36 members. This year, there are three times as many returning members as new members. How many new members are in the choir this year?

Mr. Lee asks a student to solve the following system of linear equations.Which ordered pair (p, q) is the solution to the system?

A local car wash is inviting customers to join the Concierge Club, in which you can have your car washed as many times as you wish for a fixed monthly fee. Amy creates the graph below to compare the cost per wash versus the cost for the Concierge Club. Which conclusion is supported by the graph?

Samuel wants to buy at least twice as many graphic novels as comic books. Comic books sell for $7 each, and graphic novels sell for $12 each. Samuel can spend a maximum of $50. Let c represent the number of comic books, and let g represent the number of graphic novels. Which system of inequalities can be used to find the number of comic books and graphic novels Samuel can buy?

A picture frame has a perimeter of 100 cm. Its width is 4 cm less than twice its length. What is the width of the picture frame?

A cell phone carrier offers two plans for text messaging. Plan A costs $20 per month plus $0.05 per text. Plan B costs $10 per month plus $0.10 per text. For how many text messages per month are the plans the same cost?

Which ordered pair (r, s) is the solution to the given system of equations?