TExMaT Master Mathematics Teacher 8-12: Systems of Equations 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. What is the first step in the substitution method?

Question 2 2. Which method can be used to solve any system of linear equations in two variables?

Question 3 3. Which of the following will work?

Question 4 4. How many variables does a linear system in three variables have?

Question 5 5. Which of the following is an equation included in this matrix?

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Question 6 6. How many more equations are needed to complete this linear system with three variables?

Question 7 7. Which column do you replace in the coefficient matrix if you want to solve for the y solution?

Question 8 8. To find D sub y, which column of the coefficient matrix would you replace with the constant numbers?

Question 9 9. For a linear system with two variables, how many determinants do we need to find to find the complete solution using Cramer's rule?

Question 10 10. How many determinants do you need to find in order to solve a linear system in three variables using Cramer's rule?

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Question 11 11. How many solutions does this system have?

Question 12 12.

In this system of equations, which numbers are your constant numbers?

x + 3y - 2z = 18

2x - y - z = -7

4x - 2y + z = -8

Question 13 13. Rewrite the 3rd equation in proper form so that we can turn it into augmented matrix form.

Question 14 14. If a linear system has three variables, how many equations are needed to complete the system?

Question 15 15. What are the most common letters we will see for our variables?

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Question 16 16.

Solve.

x - y = 6

x + y = 10

Question 17 17.

Find the x solution of this system using Cramer's rule.

2x + 2y = 10

3x - 2y = 0

Question 18 18.

Solve this system.

4x + y = 12

x + y = 6

Question 19 19. If two equations produce a false statement in a linear system in three variables, how many solutions does this system have?

Question 20 20. What is the complete list of equations included in this augmented matrix?

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Question 21 21.

Solve this system.

x + y = 6

y = 2x

Question 22 22.

Find the y solution of this system using Cramer's rule.

2x + 2y = 10

3x - 2y = 0

Question 23 23. Which equation(s) need to be rewritten in this linear system before we can write it in augmented matrix form?

Question 24 24. What is the determinant of the coefficient matrix for this linear system?

Question 25 25. Solve this system.

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Question 26 26. How many solutions does this system have?

Question 27 27.

What is the determinant of the coefficient matrix of this linear system?

2x + 2y = 10

3x - 2y = 0

Question 28 28. Write in augmented matrix form.

Question 29 29. Use Cramer's rule to find the z solution to this linear system.

Question 30 30. 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:

TExMaT Master Mathematics Teacher 8-12: Systems of 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!

TExMaT Master Mathematics Teacher 8-12 (089): Practice & Study Guide  /  Math Courses
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