Jakarta International School 8 th Grade AG1
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1 Jakarta International School 8 th Grade AG Practice Test - Green Unit : Graphing Name: Date: Score: 85 Goal 4: Students convert graphical, symbolic, and numerical representations of data. The points (-,) and (3,-3) are two vertices of a right triangle. If one of the triangle s legs is parallel to the x-axis, what are the possible coordinates of the third point? Use the following coordinate plane to find your solutions. What is the area of the triangle? ( pts). What can be determined about the signs of x and y if (x,y) lies a) in the second quadrant? ( pts) b) below the origin on the y-axis? ( pts) 3. The line through the points (-5, ) and (-, 3) passes through every quadrant except one. Which one? ( pt) 4. The point (-3, -5) is on the line y = 3x b. Find the value of b ( pts)
2 5. The point ( p, 8) lies on the line shown here. What is the value of p? ( pts) 6. If a coordinate plane were placed on top of the map of Math City, Algebra Lane would go through the points (-,6 ) and (,- ). Geometry Boulevard runs perpendicular to Algebra Lane and passes through the points (4, 4) and (-,y). What is the value of y? Carefully find this answer using the graph paper provided, a ruler, a protractor, and your understanding of slope. ( pts)
3 7. You are the student manager of your high school soccer team. You are working on the team s program guide and have recorded the height and weight of the team s eleven players. Height (in.) Weight (pounds) a. Make a scatter plot of the data. Put height h on the horizontal axis and weight w on the vertical axis. ( pts) b. Use a line of best fit to estimate the weight of a player who is 74 inches tall. ( pts) c. Describe the relationship between the heights and weights of the team s members? ( pts)
4 8. Rewrite the following equation in function form. Then, use a table of values to graph the function. 9x 3y = 5 (3 pts) 9. On the planet of Creon, every creature is exactly the same height (80 cm), but no creature is the same weight, though the heaviest creature is 00 kg. a. Graph the relationship between x, the height of each creature, and y, each creature s weight. ( pts) b. Write an equation for this graph? ( pt) c. What is the Domain of this graph? Range? ( pts)
5 0. Your class is selling shirts and sweaters displaying your school logo to raise money for a field trip. Your class needs to raise $800 to cover the cost of the trip. For each shirt sold, $3 is raised for the trip. For each sweater sold, $5 is raised for the trip. a. Write an equation that represents the number of shirts (x) and sweaters (y) sold and the amount of money your class needs to raise for the field trip. ( pts) b. Find the x-intercept. What does it represent? ( pts) c. Find the y-intercept. What does it represent? ( pts) d. Graph the equation. ( pts)
6 . The amount of popcorn left in a container (y = pieces) is related to how long a person has been watching a movie (x = minutes). When the relation is graphed, the intercepts are x=00 and y=00. A. Graph this relation ( pts) B. Explain the meaning of each intercept. ( pts) C. Write an equation for this graph in slope intercept form ( pts). What is the slope of each line pictured below? (3 pts total) a. b. c. 3. Calculate the slope of the lines passing through the following pairs of points: (-0,-7) and (,-) ( pts)
7 4. Rewrite the following equation in slope intercept form. Then, graph the line. y+ = x (3 pts) 5. Write the equation of the line pictured in the following graph. ( pts) 6. The liters, L, of water used to take a shower vary directly with the number of minutes, M, in the shower. A 6 minute shower uses 36 liters of water. a. Write an equation that relates the variables L and M. ( pt) b. If you shower for 5 minutes, how many liters of water will you use? ( pt)
8 7. For each of the following equations, a. y = x+ 3 b. y = x+ c. y = x+ 8 d. y = x A. Identify the slope and y-intercept of each equation s graph (8 pts) Slope Y-Intercept a b y = x+ 3 y = x+ c y = x+ 8 d y = x B. Graph and label each line on the axes shown. (4 pts) C. Which equations represent parallel lines? ( pt) D. Which equations represent perpendicular lines? ( pt) E. How can you tell which lines will be parallel and perpendicular just by looking at the equations? Explain. ( pts)
9 8. Write an equation of the line that is parallel to the given line and passes through the given point. ( pts) y = 3x+ (4,) 9. Write an equation of a line through (4,5) that is perpendicular to y = x+ 3 ( pts) 0. Graph the following equation: ( pts) y 3 = ( x+ ) 3. Write an equation in point-slope form of the line that passes through the given point and has the given slope: ( pts) (-, -3) m = 4
10 . In point-slope form, write an equation of the line that passes through the given points: (3,-) and (8, 3) ( pts) B. Now, write the equation in slope intercept form. ( pts) 3. Write an equation of the line in point slope form ( pts) B. Now, write the equation in slope-intercept form. ( pts)
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