# Systems of Linear Equations Chapter Exam

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Question 1
1.
Which equation represents the first step to solving the following system of equations using the substitution method?

2x - y = 7

x = 2y - 1

#### Question 2 2. What is the solution to the system of equations shown in the graph below?

#### Question 3 3. How many solutions does this system have?

#### Question 4 4. What are the most common letters we will see for our variables?

#### Question 5 5. 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?

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#### Question 6 6. Which of the following will work?

#### Question 7 7. If two equations produce a false statement in a linear system in three variables, how many solutions does this system have?

#### Question 8 8. Solve this system.

#### Question 9 9. How many variables does a linear system in three variables have?

#### Question 10 10. Which graph does NOT represent a system of equations?

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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. What is the first step in the substitution method?

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Question 13
13.
Solve the following system of equations:

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

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Question 14
14.
Solve.

x - y = 6

x + y = 10

#### Question 15 15. If a linear system has three variables, how many equations are needed to complete the system?

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#### Question 16 16. Which method can be used to solve any system of linear equations in two variables?

#### Question 17 17. How many solutions does this system have?

#### Question 18 18. Look at the graph. What is the solution to the system of equations?

#### Question 19 19. 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 20
20.
Which equation represents the first step to solving the following system of equations using the elimination method?

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

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#### Question 21 21. 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 22 22. How many more equations are needed to complete this linear system with three variables?

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Question 23
23.
Solve this system.

4x + y = 12

x + y = 6

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Question 24
24.
Solve this system.

x + y = 6

y = 2x

#### Question 25 25. If you don't see a variable listed in a linear system in three variables, you should note that the variable has a coefficient of:

#### Systems of Linear Equations 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!