Name: Date: Page 1 of REVIEW UNIT 4 TEST LINEAR FUNCTIONS 1. Use the graph below to answer the following questions. a. Match each equation with line A, B, or C from the graph: A!!! =!! 1 B!! = 2! 2 = 3(! 1) C b. List 3 coordinate pairs for each equation in the tables below. Check our work b finding the points on the lines.!!! =!! 1!!!!!!!! = 2! 2 = 3(! 1) c. Write the coordinates (, ) of a point that is on all three lines. d. What are the slopes of each line? A: B: C: e. What are the -intercepts of each line? A: B: C: f. Write an equation of a line parallel to line A. g. Write an equation of a line perpendicular to line B. REVIEW Unit 4 End-of-Unit Test CT Algebra I Model Curriculum Version 3.0
Name: Date: Page 2 of 2. The following questions refer to the two points (1, 3) and (-4, -2): a. Plot these two points and connect them with a straight line - -2 2 2-2 b. Find the slope of this line. Show or eplain how ou got our answer: - c. Write the equation of this line in point-slope form: d. Re-write the equation in slope-intercept form. Show or eplain how ou got our answer: 3. The Freshman Class decides to sell green shamrock cookies for St. Patrick s Da to raise mone for their class picnic in June. The Perfect Irish Baker charges the class $17 for the cookies, including the cost for deliver. The class decides to sell the cookies for $2.00 each. Let represent the number of cookies sold, and represent the net profit. a. Identif the slope (rate of change). b. Eplain the real-world meaning of the slope. c. What is the -intercept? d. Eplain the real-world meaning of the -intercept.
Name: Date: Page 3 of e. Write an equation involving and that represents this situation. f. When will the class break-even (neither make nor lose mone). Eplain how ou arrived at our answer. g. If the class sells 60 cookies, what will the profit be? Show our work. 4. A sk diver is in a plane 2200 feet above ground. He jumps out of the plane, releases his parachute, and descends at a rate of 0 feet per second. a. What is the independent variable? b. What is the dependent variable? c. Complete the following table. Time (in seconds) 0 10 1 Height (in feet) d. Plot the points from our table and connect them with a straight line. Make sure to scale and label our aes.
Name: Date: Page 4 of e. Find the slope (rate of change) and eplain the real-world meaning of this value. f. Find the -intercept and eplain the real-world meaning of this value. g. Write an equation that represents this situation. h. How long will it take the sk diver to reach the ground? Eplain our answer.. Tom and his friend both purchased some CD s from an online store. The CD s were all the same price. Tom purchased 2 CD s for $30.00 and his friend purchased 6 CD s for $63.00. Let represent the number of CDs purchased, and represent the total cost of the CDs. a. Name two points described in the problem: Point 1:, Point 2: b. Using the points, find the slope of the function. Show our work. c. Eplain the real-world meaning of our value of slope: d. Write an equation in point-slope form. e. Re-write the equation in slope-intercept form. Show our work. f. What is the shipping cost of the CDs? Eplain our answer.
Name: Date: Page of 6. L is spending the da riding her biccle in the countrside. She knows that she will travel 8 miles per hour on unpaved roads and will travel 12 miles per hour on paved roads. She plans to travel a total of 48 miles. a. If L travels hours on unpaved roads, then represents the distance she travels on unpaved roads. b. If L travels hours on paved roads, then represents the distance she travels on paved roads. c. Combine our answers to (a) and (b) to write an equation that models this situation, using the form!" +!" =!, where c is total miles traveled. This is a graph of the equation from problem (c): Hours Riding on Paved Roads 6 4 3 2 1 0 0 1 2 3 4 6 7 Hours Riding on Unpaved Roads 8 d. If L travels the entire 48 miles on unpaved roads, how long will it take her? e. Where do ou see that on the graph? f. If L travels the entire 48 miles on paved roads, how long will it take her? g. Where do ou see that on the graph? h. If L travels on paved roads for 1 hour, how much time will she spend traveling on unpaved roads? Show our work or eplain our reasoning.