1) ordered pair: 2) function: 3) domain: 4) range: 5) solution of a linear equation: 6) proportional graph: 7) origin: 8) slope: 9) rise: 10) run:

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1 ARE YOU READY? 7 th Grade Accelerated Chapter 11 Name: Vocabulary Date: Block: Write the definition for the following terms. Give an example if possible. 1) ordered pair: 2) function: 3) domain: 4) range: 5) solution of a linear equation: 6) proportional graph: 7) origin: 8) slope: 9) rise: 10) run: 11) y-intercept: 12) slope-intercept form of an equation: Skills 1) List the domain and range for the following relation. (1, -2) (3, 6) (0, -9) (-2, 0) (5, 1) Domain: Range Is this relation a function? 2) Write an example of a relation that is NOT a function. Use 5 ordered pairs. 3) Determine if the following relation is a function. {(4,2)( 9,0)(2,6)(4, 1)(0, 2)} Yes No 4) Determine if the following relation is a function. {(4,2)( 9,2)(2,2)( 4, 2)(0, 2)} Yes No 5) Determine if (-3, 7) is a solution of y = -2x + 1. Show your work. 6) Determine if (4, 0) is a solution of y = -3x Show your work. 1

2 7) a) Make an input/output table for the function and graph: y = 1 3 x +1 x y b) List three solutions of the equation y = 1 3 x +1 8) a) Make an input/output table for the function and graph: y = 4x -1 x y b) List three solutions of the equation y = 4x 1 9) Write a function rule that relates x and y. x y ) Write a function rule that relates x and y. x y

3 11) Tell whether or not the following graphs are proportional. Explain how you know. Cost of Joining a Gym a) b) Rate of Travel ) Find the slope of the following graphs. a) b) c) d) 13) Use the slope formula to find the slope of the line going through the following ordered pairs. Slope formula: m = y 2 y 1 x 2 x 1 a) (-2, 7) and (4, -3) b) (8, 3) and (-10, 3) c) (-6, 7) and (6, 9) d) (2, 13) and (2, 9) 3

4 14) Sketch a line with the given slope: Positive Negative Zero Undefined 15) Write the equation of a line in slope intercept form given the following information. a) m = -1 b = 6 b) m = ¾ b = 0 16) Find the slope and y-intercept of the equation. a) y = -x + 5 b) y = x - 4 c) y = 5x - 3 d) y = -4x + 2 slope: slope: slope: slope: y-intercept: y-intercept: y-intercept: y-intercept: 17) Graph using the slope and y-intercept. a) y = -x + 3 b) y = 1 3 x 2 c) y = x 4

5 Applications Answer the following questions showing ALL WORK necessary! Be sure to label your answer when necessary. 1) If Julia babysits for two hours, she earns $30.00; for four hours she earns $60.00; for 5 hours she earns $ a) Complete the following table : Hours She Babysits 2 Amount Earned($) 30 b) Is the relationship between the number of hours and the total she earns a proportional relationship? How do you know? c) Write an equation to model this situation. d) If you were to graph this application, describe what the graph would look like. Include information such as the value of the y-intercept and the slope. 2) Ray has started a business mowing lawns. He charges his customer $10 for gas plus $15 for each hour it takes him to mow. a) Complete the following table : Hours mowed Cost $ b) Is the relationship between the hours mowed and the total cost a proportional relationship? How do you know? c) Write an equation to model this situation. d) If you were to graph this application, describe what the graph would look like. Include information such as the value of the y-intercept and the slope. 5

6 3) Mrs. Plump joined a gym on January 1 st for an initial fee of $50 and monthly fee of $25. a) Write an equation to represent the cost of Mrs. Plump s membership: b) Graph Mrs. Plump s membership. Don t forget your labels!!! c) what is the slope of this graph? The y-intercept? d) What is the domain of this application? e) What is the range of this application? 4) Kelly is selling pizzas for a school fundraiser. There are prizes for students who sell a certain number of pizzas. The chart for the prizes and the number of pizzas needed to be sold to earn them is shown below. Prize Number of Pizzas Sold YUMZ Gift Card 75 ITunes Gift Card 100 Passes to a Roller Rink 125 New Ice Skates 200 New IPad 300 New Bike 350 New Laptop Computer 400 a) Kelly has already sold 50 pizzas, and she continues to consistently sell 5 pizzas a day. Write an equation that models this situation. 6

7 b) What is the slope and what does the slope represent in your equation? c) What is the y-intercept and what does the y-intercept represent? d) There are 28 days left to sell pizzas in the fundraiser. Kelly figures that if she increases from selling 5 pizzas a day to 10 pizzas a day (in addition to the 50 pizzas she already sold), then she will be able to reach her goal of a certain prize. What is the prize that Kelly would like to earn? e) If Kelly did not increase to selling 10 pizzas a day, and stayed at 5 pizzas a day, what is the best prize that Kelly can earn in the 28 remaining days? Writing Answer the following questions in complete sentences. Be sure to use examples and correct math terminology when possible. 1) Why is it impossible to find all of the solutions of an equation with two variables? 2) What are three ways you can represent an equation in two variables? 7

8 3) Give an example of an application that is a proportional relationship. Write an equation for your application. Describe what the graph would look like. Be sure to include the terms slope and y-intercept in your description. 4) Give an example of an application that is NOT a proportional relationship. Write an equation for your application. Describe what the graph would look like. Be sure to include the terms slope and y-intercept in your description. 8