# GRE Quantitative Reasoning: Coordinate Geometry Chapter Exam

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### Page 1

#### Question 1 1. Estimate the coordinates of the midpoint of the line segment below:

#### Question 2 2. What is the slope of the line tangent to the curve given by the equation y = (x-1)²+2 at the point (1,2)?

#### Question 3 3. Which equation matches the graph below?

#### Question 4 4. What is the slope of the line given by the equation y + 3x = 2?

#### Question 5 5. Which line is the transversal?

### Page 2

#### Question 6 6. Which absolute value equation would have a graph that is an upside down V?

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Question 7
7.
What is the slope of the line represented by the following formula?

y = 2 + 6(x - 3)

#### Question 8 8. Which equation describes the following graph?

#### Question 9 9. What are the coordinates of the vertex of the graph y = |x - 9| - 2?

#### Question 10 10. Which graph describes the following equation?

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#### Question 11 11. The point (1, -5) would be found where on the Cartesian plane?

#### Question 12 12. The slope for a horizontal line would be which one of the following?

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Question 13
13.
Which of the following equations represent(s) a line that goes through the points (2,3) and (1,1)?

I) y = 2(x - 2) + 3

II) y = 2x - 1

III) y = 2(x - 1) + 1

#### Question 14 14. Which one of the following equations could work for the following graph?

#### Question 15 15. Which graph below could represent an absolute value?

### Page 4

#### Question 16 16. Find the distance between the two points (-4, -2) and (-4, 3).

#### Question 17 17. Which equation represents a line that goes through the points (0, 1) and (1, 0)?

#### Question 18 18. Find the distance between the points (-3, 4) and (2, 5).

#### Question 19 19. What is the special name for the coordinate (0,0)?

#### Question 20 20. A graph of y = (1/3)|x| would exhibit which of the following characteristics.

### Page 5

#### Question 21 21. Which of the following equations has a slope equal to -1/4?

#### Question 22 22. Which kind of transformation would change the purple function below into the yellow one?

#### Question 23 23. Which two lines are parallel?

#### Question 24 24. Find the midpoint of the line segment with endpoints (6,-2) and (6,4).

#### Question 25 25. Which of the following reflects a pair of perpendicular lines?

### Page 6

#### Question 26 26. In the equation y = 3|x-4| + 7, what are the coordinates of the vertex?

#### Question 27 27. Which of the following consists of a pair of perpendicular lines?

#### Question 28 28. In the figure shown below, the graph of the yellow function is a translation of the graph of the blue function. If the expression for the blue function is y(x) = b(x), which of the following is the equation of the yellow function?

#### Question 29 29. Which of the following graphs MOST likely represents the equation y = 5.2x-2?

#### Question 30 30. Which graph has a positive x-intercept and a negative y-intercept?

#### GRE Quantitative Reasoning: Coordinate Geometry 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!