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Linear Algebra: Help & Tutorials Final Exam

Free Practice Test Instructions:

Choose your answer to the question and click 'Continue' to see how you did. Then click 'Next Question' to answer the next question. When you have completed the free practice test, click 'View Results' to see your results. Good luck!

Question 1 1. Which of the following statements is true about inconsistent and dependent systems?

Question 2 2. Which of the following is a solution to the system of equations shown in the graph below?

Question 3 3.

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

2x + 2y = 10

3x - 2y = 0

Question 4 4. Simplify the expression: [2x 3 y2]3.

Question 5 5.

Solve.


2(4x - 3) = 0

Question 6 6.

Which of the following represents a valid first step to solving this system of equations using the substitution method?

2x - y = 7

x = 2y - 1

Question 7 7. Identify the constant(s) in this equation: 7x + 2 = 33.

Question 8 8. What is the x length of a vector with a start point of (1, 2) and an end point of (5, 8)?

Question 9 9. Which of these statements is not true?

Question 10 10. If by + 3 = c - 2, then y =

Question 11 11. How many rows would a matrix that represents a system of 5 variables and 3 equations have?

Question 12 12. Where do you want the zeros when using Gaussian elimination?

Question 13 13. At George and Michael's lemonade stand, they can hold 17 cups of lemonade in one large pitcher and two small pitchers. If one small pitcher is filled from a large pitcher, two cups are left in the large pitcher. When full, how many cups of lemonade can the large pitcher hold?

Question 14 14. You are solving a system using Gaussian elimination when you realize that your last row tells you that 0 = 4. You know this to be false, so what does this most likely mean for your system?

Question 15 15. Which slope intercept form equation is equivalent to the standard form equation -x + 2y = -8?

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Linear Algebra: Help & Tutorials Final Free Practice Test Instructions

Choose your answer to the question and click 'Continue' to see how you did. Then click 'Next Question' to answer the next question. When you have completed the free practice test, click 'View Results' to see your results. Good luck!

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