Systems of Linear Equations in Trigonometry: Tutoring Solution Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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Question 1 1. Which method can be used to solve any system of linear equations in two variables?

Question 2 2. Two companies charge different amounts for renting a car. Company A charges a lot up front, but not much per day. Company B lets you have the car for cheap, but then makes you pay a lot every day you have the car. If we have two equations that represent these two companies, and we solve this system of equations, what will we find?

Question 3 3. Look at the graph. What is the solution to the system of equations?

Question 4 4.

Solve.

x - y = 6

x + y = 10

Question 5 5. What is the first step in the substitution method?

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Question 6 6.

Solve this system.

x + y = 6

y = 2x

Question 7 7.

Which equation represents the first step to solving the following system of equations using the elimination method?

2x - 2y = 5 and -4x + 5y = 11

Question 8 8. If a linear system has three variables, how many equations are needed to complete the system?

Question 9 9. What is the solution to the system of equations shown in the graph below?

Question 10 10. A car company has $44,000 to spend on robots to put paint on new cars. There are 2 types of robots, some that cost $3,000 and some that cost $2,000. If the company is sure that it wants to spend all of its money on 16 new robots, how many of each should it purchase?

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Question 11 11.

Find the solution, given the system of equations below.

y = 3x - 5

y = -2x + 10

Question 12 12. How many solutions does this system have?

Question 13 13.

Which equation represents the first step to solving the following system of equations using the substitution method?

2x - y = 7

x = 2y - 1

Question 14 14. Which graph does NOT represent a system of equations?

Question 15 15. If two equations produce a false statement in a linear system in three variables, how many solutions does this system have?

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Question 16 16.

Solve this system.

4x + y = 12

x + y = 6

Question 17 17. How many more equations are needed to complete this linear system with three variables?

Question 18 18. If trying to figure out how many $5 burritos and $3 tacos to buy, which equation represents the situation where you have $100 to spend?

Question 19 19. How many solutions does this system have?

Question 20 20.

Solve the following system of equations:

2x - 3y = 21 and 5x + 4y = 18

Systems of Linear Equations in Trigonometry: Tutoring Solution Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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