CP Algebra II Practice Final Exam 2017 Name: ____________________________________ kc

Multiple Choice. Pick the answer that bests answers the question or completes the statement. Bubble in the letter of your answer next to the corresponding number on the answer page. (1 point each)

1. is equal to ____

a. b. c. d.

2. Which of the following is not a method for finding the slope of a line?

a. b. c. d.

3. . A relation is a function if _____________ of the domain values are repeated.

a. all b. none c. some d. any

4. When solving a linear system of equations, you are looking for which of the following?

a. Shaded Region b. roots c. Point(s) of Intersection d. x intercepts

5. A linear system of equations made up of two intersecting lines has ________ solution(s).

a. no b. two c. one d. three

6. If the legs of a right triangle measure 5 and 12 inches respectively, the measure of the third side is

a. b. c. d.

7. Which of the following is an equation of a circle?

a. b. c. d.

8. The vertex of a parabola that opens up will always be found at ______.

a. a y-intercept b. an x-intercept c. a maximum y d. a minimum y

9. The set of all y values of a relation is called the _____.

a. range b. domain c. function d. inverse

10. If a system of equations has one solution, then the equations will have _____.

a. the same slopes b. different slopes c different y intercepts d. both a and c

11. The parent function will be "V" shaped and have a(n) _____ at (0,0).

a. asymptote b. vertex c. parabola d. maximum

12. The Solution(s) of a Quadratic Equation is/are also sometimes called _____.

a. x-intercept(s) b. Zero(s) c. root(s) d. all of these

13. The trinomial completely factored is _____.

a. b. c. d. none of these

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CP Algebra II Practice Final Exam 2017 Name: ____________________________________ kc

14. Which equation graphs a parabola opening up and with a vertex at (3,-2).

a. b. c. d.

15. The LOSE of is ______.

a. 2 b. y =2 c. x =-8 d. x = 2

16. All the solution(s) for are ____

a. b. c. d.

17. What is the Leading Coefficient (a) of ?

a. b. c. 6 d.

18. What is the constant of ?

a. b. c. 6 d.

19. What is the degree of ?

a. b. c. 6 d.

20. How many solutions does have?

a. b. c. 6 d.

21. In the Quadratic Formula, , is called the ______.

a. domain b. determinant c. discriminant d. dividend

22. If , what is ?

23. Given the Relation: { (0,5), (1,7), (2, 9), (5,15) }, which set below is the Range of the relation?

a. {1, 2, 3, 5} b. { 0, 1, 2, 5 } c. { 15, 5, 9, 2, 7, 1, 5, 0 } d. { 5, 7, 9, 15 }

24 What is the y-intercept of the line determined by the linear equation

a. b. c. d.

25. What is the slope of the linear equation:

a. b. c. d.

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CP Algebra II Practice Final Exam 2017 Name: ____________________________________ kc

26. Which ordered pair(s) are all the y-intercept(s) of the equation:

a. (0,1) b. (0,0) c. (1,0) d. (0,-1) and (0,2)

27. If one acute angle of a right triangle is , what is the measure of the other acute angle?

a. 45 b. 55 c. 145 d. not possible to determine

28. Both parabolas and absolute value graphs have ____

a. a vertex b. symmetry c. maximums d. a and b

29. When is not positive?

a. b. c. d. never

30. In the quadratic formula, represents _____

a. equation of the LOS b. Minimum c. x coordinate of the vertex d. both a and c

31. What is the radius of the circle graphed by the equation:

a. b. c. d.

32. The solution for a system of equations, will make ____________ equations true when you check.

a. neither b. one c. both

33. The square root of a number is the same as raising the number to the

a. (1/2) power b. second power c. (1/3) powerb.

34. Which system of equations represents the matrix equation: ?

a. b. c. d.

35. The boundary line of the graph of will be ______.

a. solid b. dashed c. vertical d. horizontal

36. The x intercept of is _____.

a. b. c. d.

37. The domain of , will be any real number _______.

a. b. c. d. no restrictions on domain

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CP Algebra II Practice Final Exam 2017 Name: ____________________________________ kc

38. 39. 40.

41. Which equation below will graph a line perpendicular to

a. b. c. d.

42. The solution for the inequality: is _____.

a. b. c. d. No solution

43. The square of any nonzero real number b, , will always result in an answer that is _____.

a. a positive number b. a negative number c. zero d. either a or c

44. The midpoint of the segment with endpoints is _____.

a. b. c. d.

45. The vertex of is

a. (3,-4) b. (3,4) c. (0,4) d. (0,0)

46. The y-intercept of isa. 4 b. (0,-14) c. (-14,0) d. (3,4)

47. The graph of will open

a. Right b. Left c. up d. down

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CP Algebra II Practice Final Exam 2017 Name: ____________________________________ kc

Answer the questions below in the space provided. Your written answer should include algebraic terminology and facts to justify your answer. (2 points each)

1. Simplify: (1pt)

2. Solve the system of equations. Show work. No graphing!!! (2pts)

3. Write the equation of a circle with center at (3,-4) and with a radius of 6. Show work. (2pts)

Write the equation of each graph below on the appropriate line provided. (1pt each)

5. 6.

5. ___________________________________ 6. ___________________________________

Solve. Show work. (2pts each)

8. 9.

10. Write and solve a system of equations for the problem below. Show work. (5pts)

You have $18,000 to invest in three types of stocks. You expect annual returns on Stock X to be 10%,stock Y to be 9% and Stock Z to be 6%. You want the combined investment in Stock Y and Stock Z to betwice the amount invested in Stock X. How much should you invest in each type of stock to obtain anaverage return of 8% for all of your investments?

11. Solve by factoring. Show work. (2pts)

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CP Algebra II Practice Final Exam 2017 Name: ____________________________________ kc

12. Solve by using the quadratic formula. Show work. (3pts)

Let and , find: (show substitution) (2pt each)

13. 14.

15. 16.

Simplify. Show work. (1 pt each)

17. 18.

19. 20.

21. 22.

23. 24.

25. Solve the inequality and graph the solution on the number line. (2pts)

____________________________________________________

Solve each equation for real number solutions. Without graphing. Show work. (2pts each)

26. 27.

6

CP Algebra II Practice Final Exam 2017 Name: ____________________________________ kc28.

29. Graph, on the coordinate plane provided. Show work and make a tablewith enough points to show symmetry and the vertex. Show how you obtained the vertex. (4pts)

Use a graphing calculator to find the indicated information for this entire page. Round to the nearest hundredth if necessary.

30. Solve the system of equations: . Solution(s): _______________________ (2pts)

31. a. Zeros: ________________________________________(2pts)

b. Vertex: _____________ (1pt)

c. y-intercept: ______________ (1pt)

32. Find the solution(s) for the system of equations. (2pts)

Solution(s): _____________________________________

33. Make a scatter plot with the given data in the table showing the height of a plant over 21 days of measuring. Make a line of best fit for the data and use it for questions 34 - 38. (1 pt each)

Show Mr. Crowley the scatter plot with line of best fit. ____ (1pt)

x y

Day Height (cm)1 4 5 69 817 1421 16

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CP Algebra II Practice Final Exam 2017 Name: ____________________________________ kc

Make a line of best fit for the data and use it for questions 34 - 38. (1 pt each) Round to the nearest tenth.

34. Write the equation of the line of best fit: _______________________________________35. What is the slope of the line of best fit? ________________36. What does the slope of the line of best fit mean? 37. Based on the line of best fit, how tall will the plant be on the 25th day?38. How did you find your answer for 37?

Graph each equation on the coordinate plane provided: (2pts)

39.

40. Graph the inequality on the coordinate plane provided. (2pts)

41. Write and solve a system of equations for the word problem. Show work. (4 pts)

The Warner Theatre sold 250 tickets for the 5pm showing of “The Babe”. They sold youth tickets for $6 each and adult tickets for $8.50 each and collected a total of $1990. How many of each kind of ticket was sold42. Evaluate the compound function: for (1pt)

Use numbers 45 -49. (1pt each)

45. What is the degree of this polynomial function? _______________

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CP Algebra II Practice Final Exam 2017 Name: ____________________________________ kc

46. What is the leading coefficient of this polynomial function? _______________

47. What is the constant of this polynomial function? _______________

48. What is the y-intercept of this polynomial function? _________________

49. Write all real solutions for this polynomial function: ____________________________________________ (2pts)

50. Maximize the objective function: given the constraints: . Show work. (5pts)

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