# MEGA Middle School Math: Systems of Linear Equations Chapter Exam

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.
Solve for y.

x + y + z = 4

4x - y - z = 1

x + z = 2

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Question 2
2.
Solve for z.

x + y + z = 4

4x - y - z = 1

x + z = 2

#### Question 3 3. What is the solution?

#### Question 4 4. What is the first step in the substitution method?

#### Question 5 5. How many more equations are needed to complete this linear system with three variables?

### Page 2

#### Question 6 6. How many solutions does this system have?

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Question 7
7.
Find the solution, given the system of equations below.

y = 3x - 5

y = -2x + 10

#### Question 8 8. What are you eliminating when using the elimination method to solve a system of equations?

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Question 9
9.
Solve for y.

y = 2x - 1

x + y = 8

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Question 10
10.
Solve.

x - y = 6

x + y = 10

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#### Question 11 11. How many equations will be in your system of equations if you have the variables a, b, c, d, and e in your problem?

#### Question 12 12. Solve this system.

#### Question 13 13. How many equations can you have in a system of equations?

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Question 14
14.
Solve for x.

y = 2x - 1

x + y = 8

#### Question 15 15. 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 16 16. What is the solution to the system of equations shown in the graph below?

#### Question 17 17. 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?

#### Question 18 18. 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:

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Question 19
19.
Solve this system.

x + y = 6

y = 2x

#### Question 20 20. What is the solution?

### Page 5

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Question 21
21.
Solve this system.

4x + y = 12

x + y = 6

#### Question 22 22. How many variables does a linear system in three variables have?

#### Question 23 23. How many solutions does this system have?

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Question 24
24.
Solve.

x = y + 3

2x = 3y - 5

#### Question 25 25. If a linear system has three variables, how many equations are needed to complete the system?

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Question 26
26.
Solve the following system of equations:

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

#### Question 27 27. How do you find the solution by using the graphing method?

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Question 28
28.
Solve for x.

x + y + z = 4

4x - y - z = 1

x + z = 2

####
Question 29
29.
Solve.

y = x

y = 2x + 4

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Question 30
30.
Solve.

x = 3y

x + y = 80

#### MEGA Middle School Math: 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!