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FTCE 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!

Page 1

Question 1 1. Everyone in your family is older than 3 but younger than 97. Express this fact using interval notation.

Question 2 2. Which sentence best describes the 'AND' compound inequality?

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

Question 4 4. If 5x + 2y = 9 and -3x + 6y = 9, then y =

Question 5 5. The solution set is all values of x, such that x is greater than 30, and less than 45. Express the solution set for this compound inequality using set notation.

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Question 6 6. What is the first step in solving a compound inequality?

Question 7 7.

Which equation represents a valid first step to solving the following system of equations using the elimination method if our next step is to add the equations together to eliminate the x variable?

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

Question 8 8. 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 9 9.

Solve the following system of equations:

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

Question 10 10. Which of the following is a solution to the system of equations shown in the graph below?

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Question 11 11. If x - y = 7 and 2x + 5y = 0, then y =

Question 12 12. Which graph does NOT represent a system of equations?

Question 13 13. If 4x - 7y = 14 and 2x - 4y = 6, then y =

Question 14 14. Solve -5 < 2x -3 and 2x - 3 < 5

Question 15 15.

Solve the system of equations below:

y = 3x - 5

y = -2x + 10

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Question 16 16. 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?

Question 17 17. 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 18 18. If x + y = 6 and 3x + 2y = 4, then y =

Question 19 19. What is the difference between a conjunction and a disjunction?

Question 20 20. 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?

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Question 21 21. When 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 22 22. 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 23 23. 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 24 24.

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 25 25. Solve 5x - 1 < 9 or 2x + 3 < 5

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Question 26 26. Which sentence best describes an 'OR' compound inequality?

Question 27 27. 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 28 28. Based on this graph, what is the solution to the system of equations?

Question 29 29. A mathematician goes shopping and sets his budget (in dollars) using the following set notation {x | x > 50 and x < 75} where x is the amount he will spend. Which of the following is within his budget?

Question 30 30. What does a shaded circle or an open circle mean?

FTCE 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!

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