Pennsylvania Grades 4-8 - Math Subject Concentration (5158): Practice & Study Guide  /  Math Courses

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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!

Page 1

Question 1 1. When solving for 2 or more _____, graph the solution for each one on the same graph. The overlapping shaded areas will tell us where to find the _____.

Question 2 2.

Solve.

x - y = 6

x + y = 10

Question 3 3. What is the solution?

Question 4 4. What can you do to eliminate the x in the second equation?

Question 5 5. What type of lines should be used when graphing inequalities that have < or > signs?

Page 2

Question 6 6. Which variable in which equation needs to be eliminated in order to solve this system using Gaussian elimination?

Question 7 7. What is the first step in the substitution method?

Question 8 8. Solve the following system of equations.

Question 9 9. What type of lines should be used when graphing inequalities that have >= or <= to signs?

Question 10 10. What is the solution?

Page 3

Question 11 11. Which method can be used to solve any system of linear equations in two variables?

Question 12 12.

Solve this system.

4x + y = 12

x + y = 6

Question 13 13.

Solve this system.

x + y = 6

y = 2x

Question 14 14. If we have four variables, then how many equations will we have in our system of linear equations?

Question 15 15. How many equations can you have in a system of equations?

Page 4

Question 16 16.

Solve.

y = x

y = 2x + 4

Question 17 17. If the shaded areas for two inequalities on a graph do not overlap, the solution set is for these inequalities is _____.

Question 18 18. How do you find the solution by using the graphing method?

Question 19 19. Which variable or variables need to be eliminated from the third equation in order to solve via the Gaussian elimination method?

Question 20 20. On the graph, how do you determine which side of the line represents the solution set?

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!

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