2nd 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. 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. 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.

10.

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.

12.

13.

14. 15.

16.

17.

18. 19.

20.

21.

22..

23.

24. 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)

25.

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!

27.

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

29. c.

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

31. 32.

33.

34.

35.

36. 37.

38.

39.

40.

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

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

43. 44. 45.

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.

50.

51.

52.

53.