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FTCE Middle Grades Math: Systems of Linear 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. If 5x + 2y = 9 and -3x + 6y = 9, then y =

Question 2 2. 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 3 3.

Solve the following system of equations:

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

Question 4 4. Look at the graph. What is the solution to the system of equations?

Question 5 5.

Find the solution, given the system of equations below.

y = 3x - 5

y = -2x + 10

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Question 6 6. Which variable or variables need to be eliminated from the third equation in order to solve via the Gaussian elimination method?

Question 7 7. If 6x - 3y = -12 and 2x + 2y = -10, then y =

Question 8 8. 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 9 9. What is the solution to the system of equations shown in the graph below?

Question 10 10.

Which equation represents the first step to solving the following system of equations using the substitution method?

2x - y = 7

x = 2y - 1

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Question 11 11.

Which equation represents the first step to solving the following system of equations using the elimination method?

2x - 2y = 5 and -4x + 5y = 11

Question 12 12. If x + y = 6 and 3x + 2y = 4, then y =

Question 13 13. Solve the following system of equations.

Question 14 14. What can you do to eliminate the x in the second equation?

Question 15 15. If x - y = 7 and 2x + 5y = 0, then y =

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Question 16 16. If we have four variables, then how many equations will we have in our system of linear equations?

Question 17 17. Which graph does NOT represent a system of equations?

Question 18 18. 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 19 19. 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 20 20. If 4x - 7y = 14 and 2x - 4y = 6, then y =

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Question 21 21. 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 22 22. 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 23 23. Today, Archie is 27 years older than his son, Peyton. In 4 years, Archie will be 3 years shy of 4 times Peyton's age. How old is Archie today?

Question 24 24. If trying to figure out how many $5 burritos and $3 tacos to buy, which equation represents the situation where you have $100 to spend?

Question 25 25. Which variable in which equation needs to be eliminated in order to solve this system using Gaussian elimination?

FTCE Middle Grades 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!

FTCE Middle Grades Mathematics 5-9 (025): Practice & Study Guide  /  Math Courses
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