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

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Why are the slopes for the two triangles the same?

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Note: Opposite meaning opposite sign not opposite reciprocal.

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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.

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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.

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a.b.

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What type of function is y + 7 = -4x? Explain.

a. The function is linear because it can be written in the form y = mx + b; y = 7x + -4.

b. The function is linear because it can written in the form y = mx + b; y = -4x -7.

c. 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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Remember y (dependent variable) depends on x (independent variable)

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Which of the following scenarios does not represent a function?

A. The number of families purchasing a zoo membership each month, y , plotted with the total amount of money collected by the zoo, x.

B. The cost of a monthly cell phone plan that charges a flat fee, y, plotted against the number of minutes used each month, x.

C. 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.

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

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The graph below shows the distance traveled by a jet traveling at a speed of 450 miles per hour as a function over time30.

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

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

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

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Answer Key for Study Guide:

1. B2. A3. 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

plane4. A5. D6. D7. C8. D9. B10. C11. B12. B13. D14. C15. 20016. A17. D18. B19. I and II20. C

21. C22. C23. B24. A25. D26. A27. No28. B29. D30. B31. B32. D33. A34. $5.0035. B36. A37. A38. $80039. The rental fee

increased from $75 to $85.

40. 4.5 lbs41. A – Does not have a

proportional relationship because there is not a constant ratio with all of the ordered pairs.

42. B43. A44. C45. D46. (4, -1)47. $500 yearbooks48. (2,5)49. 29 dimes and 31

nickels50. D