Math 112 Spring 2018 Midterm 1 Review Problems Page 1 …math.arizona.edu/~algebra/math112/Spring 2018... · Math 112 – Spring 2018 Midterm 1 Review Problems Page 2 Questions 5

Math 112 – Spring 2018 Midterm 1 Review Problems Page 1

Note: Certain exam questions have been more challenging for students. Questions marked (***)

are similar to those challenging exam questions.

1. Which one of the following points lies on the graph of the function 52)( xxf ?

(A) 5,0 (B) 3,2 (C) 0,5 (D) 3,2

2. Determine the domain of 45

122

xx

xxg .

(A) 4

1x

(B) 2

1,1,4 x

(C) 2

1,4,1 x

(D) 4,1x

(E) 1,4 x

3. Determine the domain of xxh 73 .

(A)

,

7

3 (B)

,

7

3 (C) ,0

(D)

7

3, (E)

7

3,

4. Given 227 xxxf , evaluate 4af .

(A) 28724 2 aaaf (B) 4924 2 aaaf

(C) 602324 2 aaaf (D) 28924 2 aaaf

(E) None of these


Questions 5 and 6 refer to the following situation: The braking distance, in feet, of a car traveling

at v miles per hour is given by 20

2.22v

vvd .

5. Evaluate 30d and give a practical interpretation.

(A) 11130 d . A car traveling 30 miles per hour will require a braking distance of 111 feet.

(B) 11130 d . A car traveling 111 miles per hour will require a braking distance of 30 feet.

(C) 11130 d . A car traveling 30 feet will require a braking distance of 111 feet.

(D) 11130 d . A car traveling 111 feet will require a braking distance of 30 feet.

6. Suppose that the car took 500 feet to brake. Approximately how fast was the car traveling?

The speed that the car was traveling was:

(A) Less than 75 miles per hour

(B) Between 75 and 77 miles per hour

(C) Between 77 and 79 miles per hour

(D) Between 79 and 81 miles per hour

(E) More than 81 miles per hour

7. Given 342 2 rrrf , evaluate 21 tf .

(A) 742 2 tt (B) 12 2 t (C) 742 2 tt

(D) 542 2 tt (E) 32 2 t

8. For 492 xxxf , find and simplify h

xfhxf )()( .

(A) h

hxhxh 89182 2 (B)

h

xhh 8182

(C) 92 hx (D) 12 hx

(E) 92 x


Questions 9 and 10 refer to the following situation: The Karmen line, or the line between the

earth’s atmosphere and space, is approximately 100,000 meters above sea level. A spacecraft,

launched from sea level, height in meters above ground, is given by ttth 23888.9 2 , where

t is measured in seconds.

9. Evaluate 45h and give a practical interpretation.

(A) 615,8745 h . After 45 seconds, the spacecraft will be traveling at a speed of 87,615

meters per second.

(B) 615,8745 h . Traveling at a speed of 45 meters per second, the spacecraft will be at

an altitude of 87,615 meters.

(C) 615,8745 h . After 87,615 seconds, the spacecraft will be 45 meters from the Karmen

line.

(D) 615,8745 h . The spacecraft, after 45 seconds, will have reached a height of 87,615

meters.

10. When, in seconds, does the spacecraft reach the Karmen line of 100,000 m?

The spacecraft reaches the Karmen line in:

(A) Less than 40 seconds

(B) Between 40 and 45 seconds

(C) Between 45 and 50 seconds

(D) Between 50 and 55 seconds

(E) More than 55 seconds


11. Which one of the following graphs DOES NOT represent a function?

(A) (B)

(C) (D)

-6

-4

-2

0

2

4

6

-6 -4 -2 0 2 4 6

-6

-4

-2

0

2

4

6

-6 -4 -2 0 2 4 6

-6

-4

-2

0

2

4

6

-6 -4 -2 0 2 4 6

-6

-4

-2

0

2

4

6

-6 -4 -2 0 2 4 6


12. (***) Solve each of the following equations for y and graph the formula(s) on your graphing

calculator. Which one of these equations represents y as a function of x?

(A) 0422 yx (B) 03 2 xy

(C) 25 43 yx (D) 105 2 yx

(E) 723 3 xy

13. (***) A company has 4 marketing analysts and asks each person to make predictions for

products that will be sold. Which one of the tables below represents y as a function of x?

(A)

Year (x) 2018 2018 2018 2018

Sales (y) 3100 1400 2200 4900

(B)

Year (x) 2018 2018 2018 2018

Color (y) Blue Green Blue Red

(C)

Sales (x) 3100 1400 2200 4900

Price (y) $40 $85 $60 $30

(D)

Price (x) $50 $20 $20 $50

Sales (y) 1500 3700 3200 2000

(E)

Year (x) 2018 2018 2019 2019

Price (y) $80 $60 $70 $50


The following graph depicts the number of commercial banks in Arizona as a function of the year,

over a several year period. Use this graph to answer questions 14 and 15. (Please ignore the gray

shading on the graph.)

14. Identify the domain and range of this function.

(A) Domain: [2004, 2012] Range: [29, 45]

(B) Domain: [2004, 2012] Range: [29, 55]

(C) Domain: [29, 45] Range: [2004, 2012]

(D) Domain: [29, 55] Range: [2004, 2012]

(E) Domain: [2004, 2012] Range: [45, 55]

15. Identify the interval(s) over which the number of commercial banks was decreasing during this

period.

(A) (29, 55)

(B) (45, 55)

(C) (2008, 2012)

(D) (2004, 2008)


The following graph depicts the population of Ukraine, in millions, as a function of the year, over

a several year period. Use this graph to answer questions 16 and 17. (Please ignore the gray

shading on the graph.)

16. Identify the domain and range of this function.

(A) Domain: [1970, 2015] Range: [45M, 52.2M]

(B) Domain: [1970, 2015] Range: [45M, 53M]

(C) Domain: [47M, 52.2M] Range: [1970, 2015]

(D) Domain: [45M, 53M] Range: [1970, 2015]

(E) Domain: [1970, 2015] Range: [47M, 52.2M]

17. Identify the interval(s) over which the population of Ukraine was decreasing during this period.

(A) (45M, 52.2M)

(B) (47M, 52.2M)

(C) (1993, 2015)

(D) (1970, 1993)


18. (***) The top 15 hottest temperatures recorded in Tucson until the year 2000 are shown in the

table below [Source: National Weather Service]. Temperatures are given in degrees

Fahrenheit.

Temperature Date

117 degrees 6/26/90

116 degrees 6/29/94

115 degrees 6/28/94

115 degrees 6/25/94

114 degrees 7/28/95

114 degrees 7/4/89

114 degrees 6/22/88

113 degrees 6/27/95

113 degrees 6/26/94

113 degrees 6/24/94

113 degrees 6/26/93

113 degrees 6/28/90

113 degrees 6/25/90

113 degrees 6/18/89

113 degrees 6/23/88

Which one of the following statements is true about this data?

(A) The date is a function of the temperature.

(B) The temperature is a function of the date.

(C) Neither of the above statements is true.


19. (***) The average normal rainfall for Tucson, by month, over the time period of 1981-2010 is

shown in the table below [Source: National Weather Service]. Rainfall vales are given in

inches.

Month

Rainfall Normal

January 0.94

February 0.86

March 0.73

April 0.31

May 0.23

June 0.20

July 2.25

August 2.39

September 1.29

October 0.89

November 0.57

December 0.94

Which one of the following statements is true about this data?

(A) Normal rainfall is a function of the month.

(B) Month is a function of the normal rainfall.

(C) Neither of the above statements is true.

20. A new car salesperson is paid a monthly salary of $500 plus a commission of 5% of all the

sales she makes each month. What monthly sales amount would give her of a monthly income

of $1,200?

(A) $35

(B) $1,400

(C) $3,500

(D) $14,000

(E) $34,000


21. (***) An item is originally priced at P dollars, but is placed on sale at a discount of 25% off.

If the sales tax is 10%, which of these expresses the final sales price, 𝐹, as a function of 𝑃?

(A) PPF 25.01.1)( (B) 75.0

1.1)(

PPF (C)

1.1

75.0)(

PPF

(D) 25.0

1.1)(

PPF (E) PPF 75.01.1)(

22. The graph of xgy is shown below. Use the graph to find the domain and range of g.

xg

(A) Domain: ),( Range: ),4[

(B) Domain: ),2.2[ Range: ),4[

(C) Domain: ),4[ Range: ),2.2[

(D) Domain: ),2.2[ Range: ),2.2[

(E) Domain: ),4[ Range: ),(

-4

-2

0

2

4

6

8

-6 -4 -2 0 2 4 6


23. Which one of the following has a domain of all real numbers except 4x ?

(A) 4 xy (B) 16

12

x

y (C) 4 xy

(D) 82

3

x

xy (E)

x

xy

4

24. The graph of xfy is shown below. Use the graph to determine the value of 0f .

xf

(A) 2 (B) 2 (C) 0 (D) 3 (E) 5

-6

-4

-2

0

2

4

6

-6 -4 -2 0 2 4 6


25. (***) Identify the open interval(s) where the graph of xTy is decreasing.

(A) 2, and 4,0 only (B) 6,2 only

(C) 4,0 only (D) 2, and 2,0 only

(E) 2, only

26. (***) Identify the open interval(s) where the graph of xTy is positive.

(A) 2, only (B) 0,2 and 6,4 only

(C) 0,2 only (D) 2, and 0,2 only

(E) 2, and 2,2 only

-3

-2

-1

0

1

2

3

4

5

-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

-3

-2

-1

0

1

2

3

4

5

-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7


27. Determine the x-intercept(s) of 45

122

xx

xxr .

(A)

0,

2

1 only

(B) 0,4 , 0,1 , and

0,

2

1 only

(C) 0,4 and 0,1 only

(D)

0,

4

1 only

(E)

0,

2

1 and

0,

4

1 only

28. Determine the intercepts of the function graphed below.

(A) 0,2 and 2,0 only

(B) 0,4 and 0,2 only

(C) 0,4 , 0,2 , and 2,0 only

(D) 0,2 , 4,0 , and 2,0 only

(E) 4,0 and 2,0 only

-4

-2

0

2

4

6

8

-6 -4 -2 0 2 4 6


Questions 29, 30 and 31, refer to the following situation: A manufacturer of DVD players

estimates that the profit for producing and selling x players is given by the function

250,3825850

1 2 xxxP . Graph this function in your calculator.

29. (***) Find the x-intercepts on the graph of this function, and give a practical interpretation.

(A) The x-intercepts are 0,150 , 0,750,12 , and 0,250,38 .

The manufacturer would make $0 in profit by selling 150 DVD players, 12,750 DVD

players, and –38,250 DVD players.

(B) The x-intercepts are 0,150 , 0,750,12 , and 0,250,38 .

The manufacturer could sell a minimum of –38,250 DVD players, a maximum of

12,750 DVD players, or 150 DVD players.

(C) The x-intercepts are 0,150 and 0,750,12 .

The manufacturer would make $0 in profit by selling 150 DVD players and 12,750

DVD players.

(D) The x-intercepts are 0,150 and 0,750,12 .

The manufacturer could sell a minimum of 150 DVD players and a maximum of 12,750

DVD players.

30. On what interval(s) is the profit function increasing?

(A) 6450,150

(B) 6450,0

(C) 750,12,150

(D) 750,12,0

(E) 800,25,0

31. According to this model, what is the maximum profit?

The maximum profit is:

(A) More than $900,000

(B) Between $850,000 and $900,000

(C) Between $800,000 and $850,000

(D) Between $750,000 and $800,000

(E) Less than $750,000


32. Determine the intercepts of 43 xxg .

(A)

0,

3

4 and 4,0 only

(B)

0,

3

4 and 2,0 only

(C) 0,4 and

3

4,0 only

(D) 0,2 and

3

4,0 only

(E) None of these

33. Write the equation of the linear function with slope of 2

1 , that passes through the point

2,2 .

(A) 12

1 xy (B) 2

2

1 xy (C) 2

2

1 xy

(D) 12

1 xy (E) 3

2

1 xy

34. Write the equation of the linear function passing through the points 3,2 and 15,5 .

(A) 114 xy (B) 96 xy (C) 54 xy

(D) 96 xy (E) 156 xy

35. Write the equation of the linear function through the point 1,5 and having a slope of 0.

(A) 5x (B) 5y (C) 1x (D) 0x (E) 1y


36. Which of these lines has a slope of zero?

(A) xy 5.0

(B) 2053 xy

(C) 05 y

(D) CByAx , where A is positive, B is negative, and C is a real number

37. Determine an equation for the linear function graphed below.

(A) 1 xy (B) 12 xy (C) 12

1 xy

(D) 12

1 xy (E) 12 xy

38. The rental fee for a compact car is $18 per day (Monday through Thursday) and $24 per day

(Friday through Sunday). This rental fee includes 100 free miles per day. Additional miles

cost $0.15 per mile. Write an equation for the total cost of a rental, xc , from Wednesday

through Saturday (4 complete days) where x represents the number of miles traveled and x is

greater than 400. (You may ignore the tax).

(A) 40015.084 xxc (B) 40015.084 xxxc

(C) xxc 40015.084 (D) xxxc 40015.084

-5

-4

-3

-2

-1

1

2

3

4

5

-5 -4 -3 -2 -1 1 2 3 4 5


A couple invests $3500 to build a rose garden. On the average, it costs them $0.35 to grow each

rose and each rose can be sold for $1.75. Use this information to answer questions 39 and 40.

39. Create a formula for a cost function and a revenue function. Let x be the number of roses sold.

(A) xxC 75.1 and xxR 35.0

(B) 350075.1 xxC and xxR 35.0

(C) 350035.0 xxC and xxR 75.1

(D) xxC 35.0 and xxR 75.1

(E) 3500xC and xxR 40.1

40. How many roses must the couple sell to break even?

(A) 2,000 (B) 2,500 (C) 10,000 (D) 8,250 (E) None of these

A company invests $78,750 in the production of iPhone cases. On the average, it costs them $7.50

to make each case and each case can be sold for $10.50. Use this information to answer questions

41 and 42.

41. Create a formula for a cost function and a revenue function. Let x be the number of cases sold.

(A) xxC 5.7 and xxR 5.10

(B) 750,785.7 xxC and xxR 5.10

(C) 750,785.10 xxC and xxR 5.7

(D) xxC 5.10 and xxR 5.7

(E) 750,78xC and xxR 3

42. How many cases must the company sell to break even?

(A) 4,375 (B) 10,500 (C) 26,250 (D) 7,500 (E) None of these


The following table shows test market data shows the relationship between the purchase price

and the demand for a new product (the number of units that people are will to purchase).

Purchase price, p, (in dollars) 10 20 25 40

Number of units, q 100,000 75,000 62,500 25,000

Use this data to answer questions 43 and 44.

43. (***) Express the price as a function of the number of units.

(A) 502500

1 qqp

(B) 102500

1 qqp

(C) 25002500

1 qqp

(D) 000,1002500 ppq

(E) 000,1252500 ppq

44. Using the function found in the previous question, find the slope of the linear function, and

give a practical interpretation.

(A) The slope is 2500

1 . For every one unit increase, the price decreases by $2500.

(B) The slope is 2500

1 . For every $1 price increase, the number of units decreases by 2500.

(C) The slope is 2500

1 . For every $1 price increase, the number of units increases by 2500.

(D) The slope is 2500 . For every one unit increase, the price decreases by $2500.

(E) The slope is 2500 . For every $1 price increase, the number of units decreases by 2500.


Questions 45, 46 and 47, refer to the following situation: A network is tracking the viewership of

a new television show. After 5 weeks on the air, the number of viewers was 8,000,000. After

another 5 weeks, the number of viewers had dropped to 6,000,000. Assume that the viewership

has been decreasing linearly.

45. Write a function to model the number of viewers as a function of the number of weeks the

show has been on the air.

(A) wwN 000,400

(B) 000,000,8000,400 wwN

(C) 000,000,10000,400 wwN

(D) 000,000,6000,400 wwN

(E) 000,000,2000,400 wwN

46. What is the slope of this function, and what does it tell you in practical terms?

(A) The slope is 000,400 . After 5 weeks, there are 400,000 fewer people watching the

television show.

(B) The slope is 000,400 . Each week, there are 400,000 fewer people watching the

television show.

(C) The slope is 000,400 . There are 400,000 people who started watching the television

show.

(D) The slope is 000,400 . Eventually, only 400,000 people watching the television show.

(E) The slope is 000,400 . Each week, there are 400,000 more people watching the

television show.

47. According to this model, how many viewers watched the show initially?

(A) 400,000

(B) 2,000,000

(C) 6,000,000

(D) 8,000,000

(E) 10,000,000


Questions 48, 49 and 50, refer to the following situation: Vehicles commonly depreciate in value

as they grow older. Samantha purchases a new car. After 1 year, the value of the car has depreciated

to $41,500. After 2 years, the value of the car has depreciated to $38,000. Assume that the car’s

value has been decreasing linearly.

48. Write a function to model the depreciation of the car as a function of years since the initial

purchase where tD it the value of the car, 𝑡 years after purchase.

(A) ttD 3500

(B) 000,453500 ttD

(C) 500,413500 ttD

(D) 000,383500 ttD

(E) 500,793500 ttD

49. What is the slope of this function, and what does it tell you in practical terms?

(A) The slope is 500,3 . Each year, the car decreases in value by $3,500

(B) The slope is 500,3 . Every two years, the car decreases in value by $3,500

(C) The slope is 500,3 . Within one day of purchase, the car decreases in value by $3,500

(D) The slope is 500,3 . Eventually, the car’s value will only be $3,500

(E) The slope is 500,3 . Each year, the car increases in value by $3,500

50. According to this model, what was the initial purchase price of Samantha’s car?

(A) $38,000

(B) $41,500

(C) $45,000

(D) $79,500

(E) Cannot be determined from information provided


51. The typical costs for two different kinds of heating systems for a 3 bedroom housing unit are

given in the table below:

Type of System Installation Cost Operation Cost/Year

Electric $5,000 $1,100

Solar $30,000 $150

After how many years of operation will the total costs of solar heating and electric heating be

the same?

(A) Less than 15 years

(B) Between 15 and 20 years

(C) Between 20 and 25 years

(D) Between 25 and 30 years

(E) More than 30 years

52. A concert venue holds a maximum of 1000 people. With ticket prices at $50, the average

attendance is 600 people. For every $5 the ticket price is lowered, approximately 25 more

people attend. Which of the following represents the number of people attending as a function

of price?

(A) 6005 ppN

(B) 8505 ppN

(C) 3505 ppN

(D) 8505

1 ppN

(E) 3505

1 ppN

53. Evaluate 0g given that:

1for 15

1for 24

xx

xxxg

(A) 2 (B) 1 (C) 0 (D) 1 and 2 (E) None of these


54. Which one of the following is the graph of the function

1 if3

1 if2

x

xxxf ?

(A) (B)

(C) (D)

-5

-4

-3

-2

-1

0

1

2

3

4

5

-5 -4 -3 -2 -1 0 1 2 3 4 5

-5

-4

-3

-2

-1

0

1

2

3

4

5

-5 -4 -3 -2 -1 0 1 2 3 4 5

-5

-4

-3

-2

-1

0

1

2

3

4

5

-5 -4 -3 -2 -1 0 1 2 3 4 5

-5

-4

-3

-2

-1

0

1

2

3

4

5

-5 -4 -3 -2 -1 0 1 2 3 4 5


55. Determine the range of the function given by

15

112

xx

xxxg

(A) ]4,(

(B) ]3,(

(C) )3,(

(D) )4,(

(E) ),(

56. Determine the rule that defines the piecewise-defined function graphed below.

(A)

53 if2

1

30 if1

xx

xx

xf (B)

53 if2

1

2

1

30 if1

xx

xx

xf

(C)

53 if2

1

2

1

30 if1

xx

xx

xf (D)

53 if22

1

30 if1

xx

xx

xf

-3

-2

-1

0

1

2

3

4

5

-3 -2 -1 0 1 2 3 4 5


57. Nell has a sales clerk job that pays $12 per hour for regular work hours (less than or equal to

40 hours per week). She gets double time (or $24 per hour) for any hours over 40 that she

works in a week. Which of the following functions can be used to represent Nell’s weekly pay

for working h hours in a week?

(A)

4024

40012

h

hhP (B)

4024

40012

hh

hhhP

(C)

4048024

40012

hh

hhhP (D)

4048024

40012

hh

hhhP

(E)

4024

4004012

hh

hhP

Questions 58 and 59 refer to the following situation: An online novelty shop sells cheap fidget

spinners in bulk. They charge $4.25 each for the first 50 spinners, and $3.75 each for any

additional spinners.

58. Which of the following functions represents the total cost of an order of fidget spinners as a

function of the number of spinners purchased?

(A)

50 if75.3

500 if25.4

x

xxC (B)

50 if75.3

500 if5025.4

xx

xxC

(C)

50 if75.3

500 if25.4

xx

xxxC (D)

50 if2575.3

500 if25.4

xx

xxxC

(E)

50 if5075.3

500 if25.4

xx

xxxC

59. Dakota places an order of fidget spinners and gets a bill for $250. How many spinners did

Dakota buy?

The number of fidget spinners that Dakota bought was:

(A) Less than 25

(B) Between 25 and 35

(C) Between 35 and 45

(D) Between 45 and 55

(E) More than 55


Questions 60 and 61 refer to the following situation: The Arizona 2016 tax brackets are such that,

single tax payers making between $0 and $10,000 income, are required to pay a flat Arizona 2.59%

tax rate. For single tax payers making greater than $10,000 income but less than or equal to $25,000

income, they must first pay 2.59% tax on the first $10,000 and then 2.88% of any remaining

income greater than $10,000 (for an income of $15,000, this would be 2.88% of the $5,000 greater

than $10,000 and 2.59% of the first $10,000).

60. Which of the following functions represents the Arizona 2016 tax bracket for single tax payers?

(A)

25,000x0,0001 if0288.0259

000,100 if0259.0

x

xxxT

(B)

25,000x0,0001 if0288.0

000,100 if0259.0

x

xxxT

(C)

25,000x0,0001 if)10000(0288.0

000,100 if0259.0

x

xxxT

(D)

25,000x0,0001 if)10000(0288.0259

000,100 if0259.0

x

xxxT

(E)

25,000x0,0001 if)10000(0547.0

000,100 if0259.0

x

xxxT

61. Carl notices that for the year 2016, he payed $287.80 in Arizona income taxes. What was his

income for that year?

Carl’s income for the year 2016 was:

(A) Less than 8500 dollars

(B) Between 8500 and 9500 dollars

(C) Between 9500 and 10,500 dollars

(D) Between 10,500 and 11,500 dollars

(E) More than 11,500 dollars


62. If 5,2 is a point on the graph of xry , which one of the following points MUST be on

the graph of 13

1 xry ?

(A)

4,

3

2 (B) 5,1 (C)

3

5,3 (D)

3

5,1 (E)

5,

3

1

63. (***) Which one of the following transforms the graph of xfy with a vertical

compression and a horizontal stretch?

(A) xfy 23

(B) xfy 23

1

(C) xfy 3

(D)

xfy

2

13

(E)

xfy

2

1

3

1

64. Suppose xgy has a domain of ]10,4( . What is the domain of 32 xgy ?

(A) ]7,7(

(B) ]12,2(

(C) ]13,6(

(D) ]13,1(

(E) ]8,6(

65. (***) The graph of 2 xy can be obtained from the graph of xy by

(A) Shifting up 2 units and reflecting over the x-axis.

(B) Shifting right 2 units and reflecting over the x-axis.

(C) Shifting left 2 units and reflecting over the x-axis.

(D) Shifting right 2 units and reflecting over the y-axis.

(E) Shifting left 2 units and reflecting over the y-axis.


66. (***) Consider the table of values for the function xhy given below.

x 4 1 6 10

xh 3 8 4 5

Which one of the following tables of values represents 42 xhy ?

(A)

x 8 2 12 20

42 xh 1 12 0 1

(B)

x 12 2 8 16

42 xh 3 8 4 5

(C)

x 8 2 12 20

42 xh 7 4 8 9

(D)

x 4 1 6 10

42 xh 2 20 4 6

(E)

x 2 0.5 3 5

42 xh 1 12 0 1


67. Consider the graph of xfy given below,

Which one of the following represents the graph of xfy 2 ?

(A) (B)

(C) (D)

-6

-4

-2

0

2

4

6

-6 -4 -2 0 2 4 6

-6

-4

-2

0

2

4

6

-6 -4 -2 0 2 4 6

-6

-4

-2

0

2

4

6

-6 -4 -2 0 2 4 6

-6

-4

-2

0

2

4

6

-6 -4 -2 0 2 4 6

-6

-4

-2

0

2

4

6

-6 -4 -2 0 2 4 6


68. (***) Suppose the graph of 2xy is transformed into 257

2 xy . Which one of the

following describes the transformations performed?

(A) Shift right 5 units, horizontal compression, reflect over the x-axis

(B) Shift left 5 units, vertical compression by a factor of 7

2, reflect over the x-axis

(C) Shift left 5 units, vertical compression by a factor or 7

2, reflect over the y-axis

(D) Shift right 5 units, vertical compression by a factor of 7

2, reflect over the x-axis

(E) Shift left 5 units, horizontal expansion, reflect over the y-axis

69. Suppose the graph of 3xy is transformed into 4323 xy . Which one of the

following describes the transformations performed?

(A) Shift left 3 units, horizontal expansion, vertical shift up by 4

(B) Shift right 3 units, horizontal expansion, vertical shift up by 4

(C) Shift right 3 units, vertical compression by a factor of 2 , vertical shift up by 4

(D) Shift left 3 units, vertical expansion by a factor of 2 , vertical shift up by 4

(E) Shift right 3 units, vertical expansion by a factor of 2, vertical shift up by 4


Question Answer Question Answer

1 D 36 C

2 E 37 D

3 A 38 A

4 B 39 C

5 A 40 B

6 D 41 B

7 E 42 C

8 C 43 A

9 D 44 B

10 D 45 C

11 B 46 B

12 E 47 E

13 C 48 B

14 B 49 A

15 C 50 C

16 A 51 D

17 C 52 B

18 B 53 A

19 A 54 C

20 D 55 D

21 E 56 B

22 C 57 C

23 D 58 D

24 B 59 E

25 A 60 D

26 E 61 D

27 A 62 D

28 C 63 E

29 C 64 B

30 B 65 C

31 D 66 E

32 B 67 A

33 A 68 B

34 E 69 E

35 E

Spring 2018 Midterm 1 Study Guide Answers

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Math 112 Spring 2018 Midterm 1 Review Problems Page 1 …math.arizona.edu/~algebra/math112/Spring 2018... · Math 112 – Spring 2018 Midterm 1 Review Problems Page 2 Questions 5