Algebra 2G – Midterm Review

Layout of Exam: 35 multiple choice 1 point each Total Points: 100

15 free response questions 3 points each

5 graphs 4 points each

1. The difference of 8 and -15 is?

2. Solve for x: -4x + 10= -18

3. Evaluate the expression: -3 + 3(-2 + 4)2

4. Evaluate the expression (-3a) 2 – 5 when a = 3.

5. Solve for x: 2x – 9 = -15

6. Solve for x: 5x – 10 = 4x + 21

7. Solve for x: 15(3 - x) = -3(2x – 2)

8. Solve for x: 9 + 2x 23

9. Solve for x: -2x – 4 < 10

10. Decide whether 5 is a solution of the inequality: 4x – 10 < 10

11. Solve for x:

12. Solve for x:

13. Find the slope of the line containing (-4, 7) and (8,1).

14. What is the slope of a horizontal line?

15. Find the x-intercept and y-intercept of y = 3x + 9.

16. Write an equation of the line containing the given point, (0,8), that has the given slope, .

17. Write the equation of a line perpendicular to , passing through the point (1, 5).

18. Find the vertex of the graph:

19. How do you know which direction an absolute value graph opens? (up or down)

20. What is the slope of 3x + 2y = 7?

21. Write the equation of the vertical line passing through the point (7, -3).

22. Identify the y-intercept of the line y = 5x + 8

23. How many solutions can a linear system of equations have?

24. Solve the system of equations ?

25. Solve the system of equations

26. Solve the system of equations

27. Joe goes to the movies and buys 2 popcorns and 3 sodas for $15.50. Lisa goes to the movies and buys 3 popcorns and 1 soda for $9.50. What is the price for one soda and one popcorn.

28. Find an equation of the line, in slope-intercept form, that passes through the point (-1, 3) and has slope 5.

29. Factor:

30. Factor:

31. A bill for car repairs was $ 415. The cost for parts was $265. The cost for labor was $25 per hour. How many hours did the repair work take?

32. Solve and graph the inequality: 2x + 3 < 6 or 3x – 8 > 7.

33. Solve and graph the inequality:

.

34. Write the equation of the line passing through the points (0,6) and (2,-1).

35. Evaluate the expression when x = 6.

36.Simplify:

37. Multiply:

38. Classify the following by terms and degree:

Graphing Section

39. y = 5x – 6 40.

A. y-intercept A. x-intercept(s)

B. slope B. y-intercept(s)

41. 42.

43. Graph the system of equations and determine the solution, if one exists.

44. Graph and find the x and y-intercepts

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