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Big Ideas Math 8th Grade Chapter 5: 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. 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 2 2. 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 3 3. If x + y = 6 and 3x + 2y = 4, then y =

Question 4 4. If x - y = 7 and 2x + 5y = 0, then y =

Question 5 5. Consider the following two car rental companies. Cars R Us charges $100 up front, plus 10 cents per mile. Thrifty Car Rentals charges 25 cents per mile with no upfront fee. If TC represent the total cost for the car, and n represents the number of miles, which of the following systems of equations best represents this situation?

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Question 6 6. If 5x + 2y = 9 and -3x + 6y = 9, then y =

Question 7 7. 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 8 8.

Solve the system of equations below:

y = 3x - 5

y = -2x + 10

Question 9 9. If 4x - 7y = 14 and 2x - 4y = 6, then y =

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

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Question 11 11. Which graph does NOT represent a system of equations?

Question 12 12. Which of the following is a solution to the system of equations shown in the graph below?

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. 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 15 15. Based on this graph, what is the solution to the system of equations?

Big Ideas Math 8th Grade Chapter 5: 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!

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