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2 nd Quarter EQT Study Guide Math 8 Advanced – (2013-2014). 1 . 2 . 3 . Why are the slopes for the two triangles the same?. 4 . Note: Opposite meaning opposite sign not opposite reciprocal. 5 . 6 . 7 . 8 .

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  1. 2nd Quarter EQT Study Guide Math 8 Advanced – (2013-2014) 1.

  2. 2.

  3. 3. Why are the slopes for the two triangles the same?

  4. 4. Note: Opposite meaning opposite sign not opposite reciprocal.

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  8. 8. Melanie solves a system of equations algebraically and finds it has one solution. Which statement will justify her solution as correct? a. When substituted into the equations, the x-and y-values satisfy the first equation; that is, the x- and y-values make the first equation true. b. When substituted into the equations, the y-value satisfies both equations; that is, the y-value makes both equations true. c. When substituted into the equations, the x-value satisfies both equations; that is, the x-value makes both equations true. d. When substituted into the equations, the x-and y-values satisfy both equations; that is, the x-and y-values make both equations true.

  9. 9. Kathy rented a bicycle. In the first half hour, she rode the bike for 2 miles. Then, she stopped and rested for a half hour. In the next two hours, she increased her speed and rode as fast as she could to race with another bicyclist for 12 miles. She stopped by a water fountain to get a drink of water and rested for another half hour. Finally, she rode the bike back to the rental site to return the bike in the last hours. Sketch a graph to show the distance that Kathy rode the bike compared to time. Create a graph for the situation. a. b. c.

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  11. 11. . What type of function is y + 7 = -4x? Explain. The function is linear because it can be written in the form y = mx + b; y = 7x + -4. The function is linear because it can written in the form y = mx + b; y = -4x -7. The function is NOT linear because it is written in the form y + b = mx. d. The function is NOT linear because it is not written in the form y = mx + b.

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  22. Which of the following scenarios does not represent a function? The number of families purchasing a zoo membership each month, y , plotted with the total amount of money collected by the zoo, x. The cost of a monthly cell phone plan that charges a flat fee, y, plotted against the number of minutes used each month, x. The total cost of a monthly gym membership that has two options of access with different per-trip charges, y, plotted against the number of trips made to the gym that month, x, D. The total cost to go to the movies with a flat rate tickets, y, plotted against the number of family members going to the movies. 24. . Remember y (dependent variable) depends on x (independent variable)

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  24. 26. Riley has a leaky faucet in her bathroom and needs to have the faucet replaced. When looking for companies to call, she found the following two advertisements. Henry's Plumbing: Reliable and dependable. We are the name you can trust!

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  26. 28. Charlotte needs to have her house painted. During her search for house painters, she received the following estimates.

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  28. 30. The graph below shows the distance traveled by a jet traveling at a speed of 450 miles per hour as a function over time

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  37. 41. Does the linear function in this problem have a proportional relationship. Explain why or why not.

  38. Solve the equation for y. Then graph the equation. 42.

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  40. Solve each system. For problems 47 and 49, define the variables, write a system of equations to model each situation, then solve. 46. 47. 48. 49.

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  45. Answer Key for Study Guide: C C B A D A No B D B B D A $5.00 B A A $800 The rental fee increased from $75 to $85. 4.5 lbs A – Does not have a proportional relationship because there is not a constant ratio with all of the ordered pairs. 42. B 43. A C D (4, -1) $500 yearbooks (2,5) 29 dimes and 31 nickels D B A 3. Similar triangles can be used to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane A D D C D B C B B D C 200 A D B I and II C

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