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Are You Smarter Than a Fifth Grader? 1 Stay focused and work out each problem in your notebooks 2 Copy problems into your notebook and SHOW ALL of your work!! 3 The review is only as good as you make it…..so make it your best! 4 Determine whether the relationship between the two quantities described in each table is linear or not AND explain why. X Y 1 18.0 2 19.6 3 21.2 4 22.8 Yes, they have the same common difference (+1.6) 5 The table below shows the average rate of increase in a nurse’s salary over the past 20 years. Explain whether the growth in salary is linear. Year 1990 1995 2007 2012 Salary $23,000 $27,500 $38,300 $42,800 Yes…all the rates of change are the same 6 Find the slope of the line in the diagram below: -1/10 = -0.1 7 Find the slope between the points (5, 3) and (-2, 8) -5/7 = 5/-7 8 What is the rate of change for the function shown below: − =− 9 What is the rate of change for the function represented In the table? X -2 -1 0 1 Y -3 -1 1 3 a.-2 b.0 c.2 d.½ c 10 Jimbo Jones spent $46.50 on 3 T-shirts. The next time he spent $31.00 on two T-shirts. What is the cost for one T-shirt? $15.50 11 State the slope and y-intercept for each equation: Y = 5x – 1 y = 0.3x 3x + y = 6 Slope = 5 Slope = 0.3 Slope = -3 Y-int. = -1 Y-int. = 0 Y-int. = 6 12 Write an equation in slope-intercept form for the graph shown: = − 13 State the x-intercept and y-intercept of the graph below: X-int. = 6 Y-int. = -9 14 State the x- and y-intercepts of the equation: 5x + 4y = -20, AND sketch the graph using the intercepts x-int. = -4 y-int. = -5 15 Monty has a total of $290 in ten and five dollar bills. This can be represented by the function 10x + 5y = 290. Interpret the x- and yintercepts. The x-intercept of 29 represents the number of $10 bills There would be if there were zero $5 bills. The y-intercept of 58 represents the number of $5 bills There would be if there were zero $10 bills. 16 Solve the system of equations by graphing: = 3 + 4 = − − 4 (-2, -2) 17 Julie has 81 pieces of jewelry. She has twice as many earrings as she has necklaces. Create and solve a system of equations to find out how many earrings And necklaces she has. x + y = 81 Y = 2x Solution: 27 necklaces, 54 earrings 18 Solve the following system of equations by substitution: = – 4 = 2 X = -4 and Y = -8 19 Solve by substitution: = − + + = (x, y) = (4, -7) 20 What are you going to do to prepare for the Chapter 6 Test? a. Review my notes b. Do homework problems over again c. Study with my parents or friends d. All of the above e. wait until tonight and think about studying 21