Unit Test Answers

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

The equations –a – 7b = 14 and –4a – 14b = 28 represent a system of linear equations. Which statement correctly explains how to eliminate the variable b when solving the system of equations?

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?

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?

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

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

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?

Which system of equations is consistent and dependent?

Which statement describes the system of equations?

What is the minimum value of C = 7x + 8y, given the constraints on x and y listed below?

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

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

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

A school district needs to arrange transportation for at least 360 students for a field trip. The district can use large buses or small buses. The large buses hold 60 students each and have an operating expense of $300 for the day. The small buses hold 45 students each and have an operating expense of $200 for the day. The district only has chaperones for, at most, seven buses. What is the minimum cost for the transportation for the field trip if each bus has chaperones?

The constraints of a problem are listed below. What are the vertices of the feasible region?