Linear Functions Review – Pairs Challenge Rules: 1)Pick a partner to work with and sit next to each other. 2)You will work together to answer the questions that follow. Each of you should have your own piece of paper and write down your response for each problem. 3)At the end of the period, I will randomly select one paper from each pair to grade. 4)The pair with the highest score will get 5 bonus points on the unit test on Monday.
a)Identify the y-intercept b)Identify the slope c)Graph the equation
2) Write an equation that matches the table below. xy
a)Identify the y-intercept b)Identify the x-intercept c)Graph the equation
4) Write an equation that matches the graph below.
a)Does it have a solid line or a dashed line? Explain how you know! b)Is it shaded above the line or below the line? Explain how you know! c)Graph the inequality.
6) Write an inequality that matches the graph below.
7) A line goes through the points (-8, 10) and (7, -11). What is the slope of that line?
8) Jaime is helping the field hockey team raise money by having a bake sale. She is selling cookies for $0.50 each and brownies for $0.75 each. Today she made a total of $63. a) Write an equation that models how Jaime made money at the bake sale. b) What is the maximum number of cookies she could have sold? c) What is the maximum number of brownies she could have sold? d) What is one other combination of cookies and brownies she could have sold?
9) Complete the following for the given situation. “Peter made t-shirts to support the football team at their annual rivalry game. He spent $180 to make the t-shirts but will be selling them for $12 each. He only made 50 shirts. Let x represent the number of shirts sold and y represent how much money he has.” a)Write an equation modeling how much money Peter has. b)Complete the table of values below. c)Make a graph that models the function. d)What is the y-intercept? What does it mean about the situation? e)What is the x-intercept? What does it mean about the situation? f)What is the slope? What does it mean about the situation? g)Is the function increasing or decreasing? Explain how you know! h)What is the domain for the given situation? i)What is the range for the given situation? x y
10) A)Write an inequality that models Philip’s situation. B)Make a graph modeling the possible balance’s of Philip’s account. C)What is one possible solution? Explain what it means in context. D) What is an example of point that is not a solution? Explain what it means in context. Philip is working as a vendor at the local arena to save money to buy a new PS4. Because the arena has a different schedule of events every week, the number of hours Philip works varies from week to week. He wants to add at least $15 to his account, will add more as he can afford it. He already has $120 in his bank account. Let x represent the number of weeks he has put money in his account and let y represent his account balance.
11) Tess and Jacinta are writing an equation for a line that passes through (3, -2) and (6,4). Is either of them correct? Explain your reasoning.