Name: ________________________ Class: ___________________ Date: __________ ID: A

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Final Exam Review 2017

Multiple ChoiceIdentify the letter of the choice that best completes the statement or answers the question.

Match the table with the function that models the data.

____ 1. x y

1 4

2 8

3 12

4 16

a. y = x 4 c. y = 4 x

b. y = 4x d. y = y = x 2 + 3

Factor the polynomial.

____ 2. 2x 3 + 12x 2 + 8xa. 2x(x2 + 2x + 4) c. 2x(x2 + 6x + 4)b. 2x(x + 2)(x + 4) d. 2x3 + 4x2 + 8x

____ 3. 18w1 2 + 15w8

a. w8(18w4 + 15) c. 3w8(6w4 + 5)b. 3(6w1 2 + 5w8) d. 3w7(6w5 + 5w)

Find the product.

____ 4. (4x – 7)(3x – 5)a. 12x2 + 6x + 35 c. 7x2 – 36x – 35b. 12x2 - 41x + 35 d. 7x2 – 36x + 35

____ 5. (2x − 4)(4x − 6)a. 8x 2 + 28x + 24 c. 8x 2 − 4x − 24b. 8x 2 + 4x − 24 d. 8x 2 − 28x + 24

____ 6. Find the missing coefficient.

(3d − 2)(2d + 2) = 6d 2 + −4

a. 10 b. –10 c. 2 d. –2

Name: ________________________ ID: A

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Match the function rule with the graph of the function.

____ 7. y = 4 ⋅ 2 x

a. c.

b. d.

____ 8. Simplify.

(2n2 + 4n + 4)(2n – 3)

a. 4n3 – 2n2 + 20n – 12 c. 4n3 + 4n2 – 2n – 12b. 4n3 + 2n2 – 4n – 12 d. 4n3 + 14n2 – 20n – 12

Factor the expression.

____ 9. w2 + 12w + 20a. (w – 2)(w + 10) c. (w + 2)(w + 10)b. (w – 2)(w – 10) d. (w + 12)(w + 8)

____ 10. k2 + kf – 12f2

a. (k + 4f)(k + 3f) c. (k – 4f)(k + 3f)b. (k – 4f)(k – 3f) d. (k + 4f)(k – 3f)

____ 11. x2 – x – 72a. (x – 8)(x + 9) c. (x + 8)(x – 9)b. (x + 8)(x + 9) d. (x – 8)(x – 9)

Name: ________________________ ID: A

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____ 12. 56g2 + 5g – 6a. (7g + 2)(8g + 3) c. (7g + 2)(8g – 3)b. (7g – 2)(8g – 3) d. (7g – 2)(8g + 3)

____ 13. 49b2 – 4a. (7b + 2)(7b + 2) c. (7b + 2)(7b – 2)b. (2b + 7)(2b – 7) d. (7b – 2)(7b – 2)

____ 14. 4x3 + 4x2 + x + 1a. x(4x2 + x + 1) c. 4x2(x + 1)b. (x + 3)(4x2 – 1) d. (x + 1)(4x2 + 1)

____ 15. 3x 3 − 15x 2 − 4x + 20a. (3x 2 + 4)(x − 5) c. (3x - 4)(x - 5)b. (3x 2 − 4)(x − 5)(x -5) d. (3x 2 − 4)(x − 5)

____ 16. Find the roots:

7x 2 + 6 = 13a. no real number solutions c. 1b. ±1 d. ±7

____ 17. Find the zeros:

x 2 + 1 = −1a. 2 c. ± 2b. –1 d. no real number solutions

Solve the equation.

____ 18. z2 − 6z− 7 = 0a. z = –1 or z = 7 c. z = 1 or z = –7b. z = 1 or z = 7 d. z = –1 or z = –7

____ 19. 5z2 − 20z+ 15 = 0a. z = 1 or z = 3 c. z = 5 or z = 3b. z = 5 or z = –3 d. z = 1 or z = –3

____ 20. c 2 − 1c = 0a. c = 0 or c = –1 c. c = 0 or c = 1b. c = 0 or c = 1 d. c = 1 or c = – 1

____ 21. x 2 − 11x + 19 = −5

a. −1, 38

b. 13

,8 c. 3, 18

d. 3,8

____ 22. 2a 2 − 46a + 252 = 0a. 18, 28 b. –9, –14 c. 9, 14 d. –18, 28

____ 23. −3y 2 − 6y = −5a. –0.63, 2.63 b. –5.27, 1.27 c. –17, 15 d. –2.63, 0.63

Name: ________________________ ID: A

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____ 24. Solve x 2 + 2 = 6 by graphing the related function.a.

There are two solutions: 2 and –2.

c.

There are two solutions: 2 and –2.b.

There are two solutions: ± 8 .

d.

There are no real number solutions.

____ 25. A rocket is launched from atop a 66-foot cliff with an initial velocity of 140 ft/s.a. Substitute the values into the vertical motion formula h = −16t2 + vt + c. Let h = 0.b. Use the quadratic formula find out how long the rocket will take to hit the ground after it is launched.

Round to the nearest tenth of a second.a. 0 = −16t2 + 66t + 140; 9.2 s c. 0 = −16t2 + 140t + 66; 9.2 sb. 0 = −16t2 + 66t + 140; 0.4 s d. 0 = −16t2 + 140t + 66; 0.4 s

Use any method to solve the equation. If necessary, round to the nearest hundredth.

____ 26. 6x 2 − 20x − 14 = 0a. 3.93, –0.59 b. 7.85, –1.19 c. –3.93, 0.59 d. 2.26, –2.26

Name: ________________________ ID: A

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Find the length of the missing side. If necessary, round to the nearest tenth.

____ 27.

a. 19.2 b. 52 c. 26 d. 676

____ 28.

a. 21.3 b. 30 c. 15 d. 7.7____ 29. Find the distance from M(–4, 2) to N(4, –3). If necessary, round to the nearest tenth.

a. 89 b. 9.4 c. 2.2 d. 9.2

Name: ________________________ ID: A

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Find the midpoint of each segment with the given endpoints.

____ 30. A(6, –2) and B(–8, 10)a. (2, −6) b. (–1, 4) c. (2, 1) d. (7, 4)

____ 31. T(2, 8) and V(–2, –10)

a. −5 12

, 13 12

Ê

Ë

ÁÁÁÁÁÁ

ˆ

¯

˜̃̃˜̃̃ b. 0 , −2Ê

ËÁÁˆ¯̃̃ c. (-1, 0) d. 0,−1Ê

ËÁÁˆ¯̃̃

Draw the box-and-whisker plot for the data.

____ 32. 26, 34, 39, 50, 41, 33, 25, 25, 42, 36, 28, 48, 47, 34, 35

a. c.

b. d.

____ 33. The graphs show the number of students receiving A’s in each grade at Glenwood Middle School. Which statement is true?

a. The second graph shows greater changes in the number of A’s than the first graph.b. The second graph exaggerates the differences between the numbers of A’s.c. The first graph exaggerates the differences between the number of A’s.d. The scale of the first graph exaggerates the number of A’s because it starts at zero.

Name: ________________________ ID: A

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____ 34. Which graph shows the best trend line for the following data.

Practice (weeks) 6 8 10 12 14 16 18

Score 19 16.5 25.5 25.5 26 28 37.5

a. c.

b. d.

Name: ________________________ ID: A

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Use a graphing calculator to find the equation of the line of best fit for the data. Find the value of the correlation coefficient r.

____ 35. Average Speed (mi/h) Time (hours)

8.5 2.5

7.5 3.75

6.5 4.5

6.0 5.0

5.5 5.5

5.0 6.25

4.0 6.75

3.5 8.75

a. y = 11.83x – 1. 11; r = –0.9760964904b. y = –1.11x + 11.83; r = –0.9760964904c. y = 11.83x – 1. 11; r = 0.9527643586d. y = –1.11x + 11.83; r = 0.9527643586

____ 36. The table shows the amount of time a student spends practicing each week and her typing speed.

Practice (hours) 1 2 3 4 5

Typing Speed (words per minute) 21 26 35 37 40

a. Use a graphing calculator to find the equation of the line of best fit.b. Use your equation to predict the student’s typing speed if she spends 8 hours practicing each week.a. y = 5.1 x + 17; about 47 words per minuteb. y = 17.1x + 4.9; about 142 words per minutec. y = 4.9x + 17.1; about 56 words per minuted. y = 4.6x + 16; about 53 words per minute

____ 37. Given the function f(x) = x 2 , which equation would translate f(x) 2 units to the right and 5 units up?

a. f(x) = (x − 2) 2 + 5 c. f(x) = (x − 2) 2 − 5b. f(x) = (x + 2) 2 + 5 d. f(x) = (x + 2) 2 − 5

Name: ________________________ ID: A

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____ 38. The equation y = 3x 2 − 3 is graphed below in graph A. What is the equation graphed on graph B?

a. y = −3x 2 − 3 c. y = 3x 2 − 3b. y = 3x 2 + 4 d. y = −3x 2 + 4

____ 39. Use the two functions to choose the best statement comparing the graphs to each other.

Function 1: y = 3(x − 4) 2 Functions 2: y = 34

(x − 4) 2

a. Functions 2’s graph is les steep (wider) than Function 1’s graph and is reflected.

c. Function 2’s graph is less steep (wider) than Function 1’s graph and is NOT reflected.

b. Function 2’s graph is more steep (narrow) than Function 1’s graph and is relfected.

d. Function 2’s graph is more steep (narrow) than Function 1’s graph and is NOT reflected.

____ 40. Which equation would describe a translation of left 7 units and reflection across the x-axis of the quadratic parent functions?

a. y = (x − 7) 2 c. y = (x + 7) 2

b. y = −(x + 7) 2 d. y = (−x + 7) 2

____ 41. Order the following functions from narrowest to widest:

Function 1: y = 12

(x − 5) 2

Function 2: y = (x − 5) 2

Function 3: y = 34

(x − 5) 2

Function 4: y = 3(x − 5) 2

a. 4,2,3,1 c. 1,3,2,4b. 1,2,3,4 d. 4,3,2,1

Name: ________________________ ID: A

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____ 42. What transformation occurs between Function 1 and Function 2?Function 1: Function 2:y = −x + 2 y = x + 2

a. Dilation c. Horizontal Translationb. Reflection d. Vertical Translation

____ 43. Given f(x) = x 2 − 3, which function below would be a transformation 9 units up and be more narrow?

a. g(x) = 3x 2 + 9 c. g(x) = 3x 2 + 6

b. g(x) = 34

x 2 + 9 d. g(x) = 34

x 2 + 6

____ 44. Marnie and Katie are in the same Spanish class. On the first 5 tests, Marnie recieved scores of 87, 76, 83, 64, and 69. Katie received scores fo 91, 62, 80, 84, and 88. How much higher was Katie’s mean than Marnies?

a. 19 points c. 9 pointsb. 3 points d. 10 points

____ 45. The following box and whisker plot can be used to compare the annual income of three professionals.

Based on the box and whisker plot, which statement is true?

a. A musician will always earn more than a police officer.

c. The median income for nuclear engineers is greater than the income of all musicians.

b. The median income for police officers and musicials is the same.

d. All nuclear engineers earn more than all police officers.

Name: ________________________ ID: A

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____ 46. Which describes the shape of the distribution?

a. Uniform c. Skewed rightb. Skewed left d. approximately normal

____ 47. A data set has a median of 72, a mean of 53, a mode of 72. Which described the shape of the distribution?

a. Uniform c. Skewed rightb. Skewed left d. Approximately normal

____ 48. The box and whisker plot represents the ages of 12 people.

What percentage of these people are younger than 40?

a. 25% c. 75%b. 40% d. 85%

____ 49. The scatter plot shown below represents a relationship between x and y.

This type of relationship is:a. A positive correlation c. A zero correlationb. A negative correlation d. Not able to be determined

Name: ________________________ ID: A

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____ 50. Use the following information to answer questions 52-54.

The school newspaper sureyed the student body for an article about club membership. The table below shows the number of students in each grade level who belong to one or more clubs.

1 Club 2 Clubs 3 or More Clubs

9th 90 33 1210th 125 12 1511th 87 22 1812th 75 27 23

If there are 180 students in the ninth grade, what percentage of the ninth grade students belong to one club?

a. 50% c. 18%b. 25% d. 7%

____ 51. Of all of the students in the 9th grade who participate in one or more clubs, what percent participate in only 1 club?

a. 67% c. 24%b. 18% d. 33%

____ 52. If there are 177 students in the 11th grade, what percentage of the students belong to 2 clubs?

a. 12% c. 62%b. 49% d. 23%

____ 53. Judging from the scatter plot, which type of function would be the best fit?

a. Linear c. Quadraticb. Exponential d. None of the above

Name: ________________________ ID: A

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____ 54. Use the following table to answer questions 57 and 58.

The air and water temperatures at 3 PM at a popular summer swimming pool were recorded for a week. It is thought that the water temperature depends on the air temperature. Which is the correct scatter plot to match this data?

a. c.

b. d.____ 55. Based on the table in the previous question, what type of function would best fit the data.

a. Exponential c. Quadraticb. Linear d. Cubic

Name: ________________________ ID: A

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____ 56. Which graph represents data in a linear regression that produces a correlation coefficient closest to -1?

a. c.

b. d.

____ 57. The softball booster club notices that they sell more soft drinks when the temperature is higher. They record the temperature and the number of soft drinks for the next 10 home games. Their results are in the data below.

Which equation best models the relationship between the temperature (t) and the number of soft drinks sold (s)?

a. y = 16.61x − 630.63 c. y = 54.80 * 1.03 x

b. y = 0.35x 2 − 32.09x + 1029.40 d. No correlation____ 58. A ball is thrown into the air with an upward velocity of 48 ft/s. Its height h in feet after t seconds is given

by the function h = −16t2 + 48t + 6.a. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if

necessary.b. What is the ball’s maximum height?a. 1.5 s; 42 ft b. 1.5 s; 114 ft c. 1.5 s; 54 ft d. 3 s; 6 ft

Name: ________________________ ID: A

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____ 59. Which statement is true regarding the two boxplots below?

a. The girls’ 1st quartile is 40 text messages fewer than the boys’ 1st quartile.

c. The girls’ median is 60 text messages more than the boys’ median.

b. . The boys’ 1st quartile is 20 text messages more than the girls’ 1st quartile.

d. The girls’ 3rd quartile is 30 text messages fewer than the boys’ 3rd quartile.

____ 60. What is the vertex of the parabola below?

a. (0,0) c. (0, 0) and (2, 0)b. (1, -3) d. (-3, 1)

Name: ________________________ ID: A

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____ 61. Which of the graphs matches the given system:

4x + 5y > 10

y < 2x + 2

a. c.

b. d.____ 62. Solve this system of equations.

3x + 4y = 186x - 2y = 6

a. (2, 3) c. (3, 2)

b. ( − 25

, 5) d. (5, − 25

)

____ 63. What number will make the polynomial a perfect square trinomial?

m 2 − 10m +_ _ ?_ _= 0a. -10 c. 25b. 100 d. -5