Name Date Period. Unit 9: The Coordinate Plane Test Review

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1 Name Date Period Unit 9: The Coordinate Plane Test Review Complete this review to help you prepare for the upcoming test. The more effort you put in, the more you will get out of it. This is due the day of the test. None of the questions on this review are multiple choice, but many look like it. Please know they are just questions with many parts. 1. Give the coordinates of A, B, C, D and E. 2. Use graph paper. Plot the points on a coordinate plane. In which quadrant is each point located? A(3, 5) B(-2, 0) C(7, -2) D(0, 5) E(-3, -8) 3. Use graph paper. Point A and B are reflections of each other about the x-axis. Give the coordinates of B if the coordinates of A are the following. a. A(3, 6) c. A(5, -4) b. A(-6, 2) d. A(-3, -5) 4. Use graph paper. Point C and D are reflections of each other about the y-axis. Give the coordinates of D if the coordinates of C are the following. a. C(3, 6) c. C(5, -4) b. C(-6, 2) d. C(-3, -5) 5. Use graph paper. For each exercise, plot the given points on a coordinate plane. Then connect the points in order with line segments to form a closed figure. Name each figure formed. a. A(2, -4), B(2, 4), C(-6, 4) and D(-6, -4) b. E(0, -2), F(-3, 1), G(-5, -1) and H(-2, -4) c. J(0, 1), K(1, 4) and L(-4, 3) d. M(6, 5), N(3, 5), P(3, -3) and Q(6, -3) e. A(6, -3), B(4, 2), C(-1, 2) and D(0, -3) f. E(-1, 6), F(-3, -3), G(3, 3) and H(5, 6) g. T(-2, 1), U(-6, 1), V(-6, -3) and W(-2, -3)

2 6. Use graph paper. Plot the points on a coordinate plane and answer the questions. a. Plot point A(1, -1) and B(7, -1) on a coordinate plane. Connect the two points to form a line segment. b. Point C lies above AB and is 2 units away from the x-axis. If triangle ABC is an isosceles triangle, find the coordinates of point C. c. Points D and E lie below AB such that ABDE is a rectangle. If BD is 5 units, find the coordinates of points D and E. 7. Use graph paper. Plot each pair of points on a coordinate plane. Connect the points to form a line segment and find its length. a. A(-1, 0) and B(8, 0) b. C(-2, 4) and D(6, 4) c. E(-6, -2) and F(-6, -6) d. G(-5, -4) and H(2, -4) e. J(0, -3) and K(0, -8) f. M(5, 2) and N(5, -5) 8. The diagram below shows the plan of a seminar room. The side length of each grid square is 10 feet. a. The eight corners of the room are labeled points A to H. Give the coordinates of these corners. b. The entrance of the seminar room is situated along AH. What is the shortest possible distance, in feet, between the entrance and DE of the room? c. Diana walks across the room from point B to point G and then walks from point G to point H. Find the total distance, in feet, that Diana walks. d. What is the perimeter of the seminar room?

3 9. An athlete took part in a race. The distance the athlete ran, v meters, after t minutes is given by v = 300t. Graph the relationship between t and v. Use 2 units on the horizontal axis to represent 1 minute and 1 unit on the vertical axis to represent 150 meters. a. What type of graph is it? b. What is the distance the athlete ran in 3.5 minutes? c. What is the average speed of the athlete? d. Assuming the athlete runs at a constant speed (he doesn t slow down or speed up), what is the distance he will run in 8 minutes? e. Name the dependent and independent variable. 10. A truck uses 1 gallon of diesel for very 12 miles traveled. The amount of diesel left in the gas tank, r gallons, after traveling s miles is given by s = r. Graph the relationship between r and s. Use 1 unit on the horizontal axis to represent 1 gallon and 1 unit on the vertical axis to represent 12 miles. Start your horizontal axis at 17 gallons. a. Complete the table b. How many gallons of diesel are left after the truck has traveled 60 miles? c. After the truck has traveled for 72 miles, how much farther can the truck travel before it runs out of diesel? d. If the truck travels more than 48 miles, how much more diesel is left in the gas tank? Express your answer in the form of an inequality in terms of r, where r stands for the amount of diesel left.

4 Advanced Math students only need to continue beyond this point. 11. Use the coordinate plane to the right. a. Plot point L(-1, 3) b. KM is the line of symmetry of the quadrilateral KLMN. Plot point N on the coordinate plane. Give the coordinates of N. c. What is the special name of quadrilateral KLMN? 12. Use the coordinate place to the right. a. Give the coordinates of point P and Q. b. Figure PQR is a right isosceles triangle. If point R is on the x-axis, plot point R on the coordinate plane. Give the coordinates of point R. c. Figure PQS is a right isosceles triangle. If point S is o the y-axis, plot point S on the coordinate plane. Give the coordinates of point S. d. Name figure PQRS.

5 13. The amount $y, that a postal company, Post Express, charges for sending a parcel is given by the equation y = 2x + 10, where x is the weight of the parcel in pounds. a. Find the values of a and b. b. Graph the relationship between x and y on graph paper. Use 1 unit on the horizontal axis to represent 2 pounds and 1 unit on the vertical axis to represent $4. c. Colby paid $20 for sending a parcel. From your graph, find the weight of the parcel that he sent. d. Another postal company, Parcel United, charges a fixed price of $18 regardless of the weight of the parcel. On the same graph, plot the relationship between the postal charge and the weight of the parcel for Parcel United. e. If Colby wants to send a parcel of 7 pounds, which postal company provides a cheaper service? How much cheaper? 14. Debbie decides to make and sell muffins for a profit. Her startup costs are $300. The cost of making each muffin is $0.50. She plans to sell each muffin for $1. The diagram below shows the relationship between the costs and earnings and the number of muffins. a. How many muffins must Debbie make and sell in order to break even? b. What is the profit if Debbie makes and sells 1,000 muffins? c. What is the loss if she only makes and sells 400 muffins?