Study Guide for Unit 10 Test Part 2 – Extra Practice for Each Objective. Please scroll down to find each objective. In addition to these problems please use your homework worksheets and notes packet for additional practice and GOLD problems. Objective 1: Be able to label parts of the coordinate plane 1. Label the following parts on the coordinate plane provided below. Quadrant I Quadrant II Quadrant III Quadrant IV Origin x-axis y-axis 5 on the x-axis 5 on the y-axis -5 on the x-axis -5 on the y-axis 1 Objective 2: Be able to plot ordered pairs on the coordinate plane accurately. Plot the following ordered pairs on the coordinate plane below. Write the letter of the point next to each point you plot. Plot any five points below and give their ordered pair. Have at least 1 point in each quadrant. Point F: Point A: (-4,-5) Point B: (7,-2) Point C: (0, 6) Point D: (-4, 6) Point E: (-8,0) Point G: Point H: Point I: Point J: 2 Objective 3: Be able to determine whether an ordered pair is or is not a solution to a function/equation by evaluating. Is (-2,13) a solution to 3x+y=7? Is (-4,0) a solution to y=4-x GOLD: Is (-18,27) a solution to 1 2 x y 12 ? 3 3 Objective 4: Be able to determine whether an ordered pair is or is not a solution to a function/equation by graphing. Is (-2,0) a solution to the function above? Show or explain your answer. Is (4,1) a solution to the function above? Show or explain your answer. Is (-4,-4) a solution to the function above? Show or explain your answer. 3 Objective 5: Be able to graph a function/equation on the coordinate plan using the 3-step method. Graph the function y = 5 – 2x. Label graph as discussed in class. Step 1 Step 2 Step 3 ____________________________________________________ ____________________________________________________ ____________________________________________________ ____________________________________________________ ____________________________________________________ ____________________________________________________ ____________________________________________________ Graph the function y Step 1 1 x 2 . Label graph as discussed in class. 2 Step 2 Step 3 ____________________________________________________ ____________________________________________________ ____________________________________________________ ____________________________________________________ ____________________________________________________ ____________________________________________________ ____________________________________________________ 4 Gold: Graph the function y 3 x 1 . Label graph as discussed in class. 4 Step 1 Step 2 Step 3 ____________________________________________________ ____________________________________________________ ____________________________________________________ ____________________________________________________ ____________________________________________________ ____________________________________________________ ____________________________________________________ Turn to next page for last objective, objective 6. 5 Objective 6: Be able to complete Rule of 4 problems and answer follow up questions. There are four ways to represent any mathematical relationship. Each is represented below. You will be given information in one or two of the boxes and asked to fill in the others. Relationship represented verbally (using words) Relationship represented symbolically (using algebra) Let x = ______________ y = _______________ y = 2x - 5 Relationship represented numerically (data) x Relationship represented visually (graph, diagram, picture etc.) y ( , ) ( , ) ( , ) ( , ) ( , ) Answer these questions on separate paper. Show or explain your thinking for each. a) Is (1,-1) a solution to the function above? b) If your input was -10, what would your output be? c) If your output was 8, what would your input be? 6 Relationship represented verbally (using words) Relationship represented symbolically (using algebra) You start with three candies Let x = # of minutes in your cup and add 2 per y = # of candies in the dish minute. Y = 3 + 2x Relationship represented numerically (data) x Relationship represented visually (graph, diagram, picture etc.) y ( , ) ( , ) ( , ) ( , ) ( , ) 7 Gold: Relationship represented verbally (using words) Relationship represented symbolically (using algebra) You start with two candies in your cup and add 1 every Let x = _______________ y = __________________ two minutes. Rule: Relationship represented numerically (data) x Relationship represented visually (graph, diagram, picture etc.) y ( , ) ( , ) ( , ) ( , ) ( , ) 8
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