Algebra 2: 1st Semester Final Review

1. Evaluate 12+g for g=11

2. Simplify:

3. Solve:

4. Sandy has to figure out the square footage of the shaded portion of the wall belowin order to calculate the amount of paint needed to repaint it. What is the area of theshaded portion?

5. Solve:

6. Solve:

7. Find the domain of the relation:

8. Find the slope of the line.

Algebra 2 Semester 1: Final Exam Review Ms. A. Klarke

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9. Write the slope-intercept form of the line that passes through the point (-6, 5) and

is parallel to the line

10. The amount a spring will stretch, S, varies directly with the force (or weight), F,attached to the spring. If a spring stretches 7 inches with 50 pounds attached, how farwill it stretch with 40 pounds attached?

11. Graph the equation.

12. Graph the inequality:

13. Solve the linear system:

Graph the system of inequalities.14.

15. If and , find A­B

16. Given and , find AB

17. Evaluate the determinant of the matrix:

18. Find the inverse of the matrix (if it exists):

Algebra 2 Semester 1: Final Exam Review Ms. A. Klarke

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19. Graph:

20. How would you translate the graph of to produce the graph of

21. What are the solutions to the equation

22. Factor the expression

23. Factor completely:

24. Find the zeros of the equation:

25. Simplify the expression:

26. Solve:

27. Write the expression as a complex number in standard form:

28. Write the expression as a complex number in standard form:

29. Solve:

30. Solve by completing the square:

31. Graph:

32. Write a quadratic function in vertex form that has the given vertex and passesthrough the given point.Vertex: (9, ­9); Point: (12,9)

33. Simplify:

Algebra 2 Semester 1: Final Exam Review Ms. A. Klarke

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34. Use synthetic substitution to evaluate when r = 2

35. Add:

36. Subtract:

37. Multiply:

38. Factor completely:

39. Divide:

40. Divide using synthetic division:

41. Find the zeros of the function:

42. Use the graph to approximate the real zeros of the function.

Algebra 2 Semester 1: Final Exam Review Ms. A. Klarke

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AlgII_1stSemFinalReview Answer Section

1. 23

2.

3. 5

4. 460 sq ft

5.

6. or

7.

8. slope =

9.

10. 5.60 inches or inches

11.

12.

13. (5, 1)

14.

15.

16.

17. ­1

18.

19.

20. Translate the graph of

up three units.

21. or

22.

23.

24.

25.

26.

27.

28.

29.

30.

31.

32.

33.

34. f(2) = 49

35.

36.

37.

38.

39.

40.

41.

42.

1, 4/7, -7/6

0, 2, 4

Algebra 2 Semester 1: Final Exam Review Ms. A. Klarke

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