Algebraic Linear Equations & Inequalities: Help and Review 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 3x - a = 2, then x =

Question 2 2. Solve: 5x - 8 ≤ 6 - 2x

Question 3 3. What is the equation of a line that is parallel to y = -4x + 2 and goes through the point (-4, 9)?

Question 4 4. Ten less than half a number is 76. What is the number?

Question 5 5. What types of functions have horizontal asymptotes?

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Question 6 6. If x - y = 7 and 2x + 5y = 0, then y =

Question 7 7.

Solve the system of equations below:

y = 3x - 5

y = -2x + 10

Question 8 8. In a linear inequality, what kind of line is used when graphing the inequality 3y<2x-7?

Question 9 9. Which statement would be represented by an inequality?

Question 10 10. Which linear equation has the solutions (2, 4) and (-2, 6)?

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Question 11 11. If the equation y = 50x + 25 represents the amount of (y) money it costs to rent a car for (x) days, how long could you rent a car for if you had 775 dollars?

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

Question 13 13. For linear inequalities, when does the inequality symbol flip?

Question 14 14. Based on this graph, what is the solution to the system of equations?

Question 15 15. Find the horizontal asymptote.

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Question 16 16. If 5az + 3z = 24, then z =

Question 17 17. Find the horizontal asymptote.

Question 18 18. Solve: -9x > -81

Question 19 19. 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 20 20. 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?

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Question 21 21. Which of the following is an example of an inequality?

Question 22 22. 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 23 23. Jill and Brian divided up $1900 between two investment accounts. Jill's account earns 4% interest and Brian's earns 3%. If their combined interest earns them $70, then how much was originally invested in each account?

Question 24 24. 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 25 25.

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

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Question 26 26. Which side of the line is shaded in the inequality y<2x-3?

Question 27 27. Solve for x: 8x - 7 = 5x + 8

Question 28 28. 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 29 29. If 4x - 7y = 14 and 2x - 4y = 6, then y =

Question 30 30. Typically, an inequality can have how many solutions?

Algebraic Linear Equations & Inequalities: Help and Review 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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