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GRE Quantitative Reasoning - Equations and Expressions: 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!

Page 1

Question 1 1. Which graph does NOT represent a system of equations?

Question 2 2. If a question requires us to know the value of |2x + y|, but all we know is that |x + y| = 5, what can we do?

Question 3 3. Subtract: (x2 + 3x + 4) - (7x2 - 5x + 2)

Question 4 4. What is the first step to solving the equation |4x - 2| = 5?

Question 5 5.

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

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Question 6 6. Solve the equation: |x + 8| = -1.

Question 7 7. Solve the equation: 3|x - 2| - 1 = 11.

Question 8 8. Which linear equation has the solutions (2, 4) and (-2, 6)?

Question 9 9. Solve the equation: |2x - 5| = 5.

Question 10 10. Evaluate |r+s|-(r+s) when -s = r+8.

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Question 11 11. Subtract: (x3 + x3 + 6) - (x3 - 2x + 1).

Question 12 12. Which pattern of numbers represents a linear equation?

Question 13 13. Find the line below for which the WRONG slope is given.

Question 14 14. 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 15 15. Which of the following represents a linear equation that begins at 5 and increases by 8 at each step?

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Question 16 16. Solve the equation: |2x + 5| = 11.

Question 17 17.

Solve the following system of equations:

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

Question 18 18. What is the equation of a line that is parallel to y = -4x + 2 and goes through the point (-4, 9)?

Question 19 19. 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 20 20. What number can we substitute for x that will make the absolute value of x = 12?

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Question 21 21.

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 22 22. Solve the equation: |x| = 99.

Question 23 23. Based on this graph, what is the solution to the system of equations?

Question 24 24. Solve the equation: -2|x| = 10.

Question 25 25. 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 26 26. Which graph represents a linear equation?

Question 27 27.

Solve the system of equations below:

y = 3x - 5

y = -2x + 10

Question 28 28. 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 29 29. What is the slope of a line that is perpendicular to y = 3x + 1?

Question 30 30. What is the equation of a line with slope of 2 and a y-intercept of -6?

GRE Quantitative Reasoning - Equations and Expressions: 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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