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Linear Equations & Systems: Tutoring Solution 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. The Rusty Metal Roller Coaster at the fair charges $2.50 for children and $4 for adults. Before the safety inspector shuts down the ride, 260 people ride it and $815 is collected. How many adults rode the coaster?

Question 2 2. 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?

Question 3 3. Which variable in which equation needs to be eliminated in order to solve this system using Gaussian elimination?

Question 4 4. Craig is new at Bleachy Clean Cleaning Services. He needs to make 12 gallons of cleaner with a 15% concentration of bleach. He only has cleaners with 10% and 30% solutions. How many gallons of the 10% solution will he need?

Question 5 5. Look at the graph. What is the solution to the system of equations?

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Question 6 6.

Solve.


6x + 2(x + 2) = 0

Question 7 7. Solve for x: x/2 + 1/6 = x - 1/3

Question 8 8. Which linear equation is in standard form?

Question 9 9. What are the coordinates of the y-intercept of the equation 5x - 3y = 2?

Question 10 10. 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?

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Question 11 11. At the end of his weekly shopping excursion, Mr. Archer has purchased six pairs of pants and five pairs of socks for $348. The next day, he realizes he needs one more pair of pants and two pairs of socks, which he buys for $72. If the prices for all the pants are equal, as are the prices for all the socks, what is the cost of one pair of socks?

Question 12 12. Solve the following system of equations.

Question 13 13. What can you do to eliminate the x in the second equation?

Question 14 14. Solve for x: 2x = -18

Question 15 15. A linear equation can be represented using a _____ graph.

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Question 16 16. What is the slope of a line that is perpendicular to y = 3x + 1?

Question 17 17.

Find the solution, given the system of equations below.

y = 3x - 5

y = -2x + 10

Question 18 18. 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 19 19. What is the equation of a line with slope of 2 and a y-intercept of -6?

Question 20 20. What is the solution to the system of equations shown in the graph below?

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Question 21 21. If 5az + 3z = 24, then z =

Question 22 22. Solve for x: 8x - 7 = 5x + 8

Question 23 23. Which pattern of numbers represents a linear equation?

Question 24 24. Which graph represents a linear equation?

Question 25 25. Which slope intercept form equation is equivalent to the standard form equation -x + 2y = -8?

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Question 26 26. If 3x - a = 2, then x =

Question 27 27.

Solve.


4(x + 2) = -4

Question 28 28. What is the equation of a line that passes through the points (2, 4) and (-2, 6)?

Question 29 29. If by + 3 = c - 2, then y =

Question 30 30. What is the equation of the graph below?

Linear Equations & Systems: Tutoring Solution 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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