Deck 1: Real Numbers

Question 1

Solve the problem.
Your favorite stock opened the day's trading at $40.34 per share. When trading closed for the day, your stock was priced at $35.69 per share. If you own 110 shares, what was your profit or loss that day?

A) A profit of $511.50
B) A profit of $4.65
C) A loss of $4.65
D) A loss of $511.50

Answer 1

A loss of $511.50

Question 2

Solve the problem.
Jimmy put $500 down on a new sports car. He made 60 payments of $275 and spent $774 in maintenance and repairs. Three years after paying off the car he sells it for $4450. What is his net? Is it profit or loss?

A) -$13,324, profit
B) -$13,324, loss
C) $2841, loss
D) $13,324, profit

Answer 2

-$13,324, loss

Question 3

Solve the problem.
A promotional deal for long distance phone service charges a $15 basic fee plus $0.05 per minute for all calls. If Joe makes 860 minutes of calls under this promotional deal, how much is his phone bill?

A) $72
B) $58
C) $52
D) $65

Answer 3

$58

Question 4

Solve the problem.
A college student borrows $600 for 4 months to pay for a semester of school. If the interest is $24, find the monthly payment.

A) $150.00
B) $78.00
C) $6.00
D) $156.00

Question 5

Solve the problem.
In 1994 Bethany put $740 down on a new Jeep. She made 55 payments of $204 and spent $613 in maintenance and repairs. Four years after paying off the car she sells it for $4220. What is her net? Is it profit or loss?

A) $8353, profit
B) -$8353, loss
C) $2608, loss
D) -$8353, profit

Question 6

Solve the problem.
Jack borrowed $480 from his brother. Jack's brother wants 6 monthly payments of $105 to repay the loan. How much extra is Jack's brother charging for the loan?

A) $45
B) $730
C) $150
D) $630

Question 7

Solve the problem.
Juanita is having her yard landscaped. She obtained an estimate from two landscaping companies. Company A gave an estimate of $210 for materials and equipment rental plus $45 per hour for labor. Company B gave and
Estimate of $315 for materials and equipment rental plus $30 per hour for labor. If 7 hours of labor are required,
Which estimate is lower?

A) Company A' estimate is lower
B) Company B' estimate is lower
C) Both estimates are the same
D) There is not enough information to determine which estimate is lower.

Question 8

Solve the problem.
Nathan has $568.57 in his checking account. He writes checks for his monthly bills in the amounts of $27.86, $235.28, and $180.30. He deposits his paycheck of $450.41 and then takes his girlfriend to dinner and spends
$75)21 on his debit card. How much money does Nathan have left in his account?

A) -$250.07
B) $636.81
C) $650.75
D) $500.33

Question 9

Provide an appropriate response.
For each hour of class time, how many hours outside of class are recommended for studying and doing
homework?

Question 10

Solve the problem.
A phone costs $37 and a battery recharger costs $22. What is the total price for purchasing these items if the sales tax rate is 6%?

A) $62.54
B) $94.40
C) $3.54
D) $59.00

Question 11

Provide an appropriate response.
List the things you need to do to prepare properly for class.

Question 12

Provide an appropriate response.
Explain how a mathematics text should be read.

Question 13

Solve the problem.
A sales representative is paid a commission rate of 3.2%. Find his commission if he sold $69,700 worth of goods last month.

A) $2230.40
B) $21,781.25
C) $71,930.40
D) $2178.13

Question 14

Provide an appropriate response.
When studying, you should not only understand how to work a problem, but also why you follow the specific
steps you do. Why is this important?

Question 15

Solve the problem.
The total price of a new RV is $24,840.31. The tax, title, and dealer charges amount to $840.31. Find the price of the RV before the extra charges.

A) $25,680.62
B) $24,000.00
C) $23,159.69
D) $2400.00

Question 16

Solve the problem.
Margaret takes out a loan on a fixer-upper house. She then spends $4998 in repairs and improvements. She sells the house for $88,320. If the pay-off for the loan that she took out to buy the house is $73,101, what is her net? Is
It profit or loss?

A) -$20,217, loss
B) $10,221, profit
C) $20,217, profit
D) $166,419, profit

Question 17

Solve the problem.
A meter is a unit of measure in the metric system that is approximately equal to 39.37 inches. Gina is 1.05 meters tall. What is her approximate height in inches? (Round to the nearest hundredth.)

A) 4.13 in.
B) 414.44 in.
C) 41.34 in.
D) 41.44 in.

Question 18

Solve the problem.
An ascending weather balloon starts taking air samples at a height of 37,000 feet and every 2000 feet thereafter. What is its height when it takes the 4th sample?

A) 47,000 ft
B) 41,000 ft
C) 43,000 ft
D) 45,000 ft

Question 19

Solve the problem.
A dishwasher sells for $700. If the sales tax rate is 5.6%, what is the total price?

A) $39.20
B) $1092.00
C) $739.20
D) $392.00

Question 20

Solve the problem.
A small boy's temperature rose and fell over the course of one day. At 7am, it rose 1.3 degrees. At noon, it fell 1.0 degrees. At 4pm, it fell 1.2 degrees. Finally, at 8pm, it rose 2.5 degrees. What was the net change in the
Boy's temperature over the course of the day?

A) -1 degrees
B) 6 degrees
C) 4 degrees
D) 1.6 degrees

Question 21

Solve the problem.
The grades and the point values of the grades are given below for a student for a particular semester. Determine the student's grade point average.
A : 4, B : 3, C : 2, D : 1, F : 0

A) 2.2
B) 11
C) 2.6
D) 2.8

Question 22

The graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. Use the graph to answer the
question(s).
At what time was the temperature 72°?

A) 6 p.m.
B) 9 a.m. and 10 a.m.
C) 9 a.m.
D) 10 a.m.

Question 23

Solve the problem.
Retailers are always interested in determining why a customer selected their store to make a purchase. A sporting goods retailer conducted a customer survey to determine why its customers shopped at the store. The results are shown here:
What proportion of the customers responded that the merchandise was the reason they shopped at the store?

A)
B)
C)
D) 30
E)

Question 24

The bar graph shows the number of tickets sold each week by the garden club for their annual flower show. Use the
graph to answer the question(s).
How many tickets were sold in all?

A) 215 tickets
B) 105 tickets
C) 195 tickets
D) 205 tickets

Question 25

Solve the problem.
The scores for a statistics test are as follows: Compute the mean score.

A) 80.10
B) 75
C) 67.85
D) 76.90

Question 26

Solve the problem.
Health care issues are receiving much attention in both academic and political arenas. A sociologist recently conducted a survey of senior citizens whose net worth is too high to qualify for Medicaid but who have no
Private health insurance. The ages of 25 uninsured senior citizens were as follows: Find the median of the observations.

A) 77
B) 78
C) 77.5
D) 74

Question 27

Solve the problem.
Elaine and Dan want to install wall-to-wall carpeting in their family room. The floor of the rectangular room is 26 feet long and feet wide. How much will it cost to carpet the room if the carpet costs $21.62 per square
Yard? (Round your answer to the nearest cent.)

A) $405.98
B) $1217.93
C) $98,652.06
D) $10,961.34

Question 28

Solve the problem.
The following test scores were recorded for a student: 96, 91, 89, 85, 91, 77, 87. Determine the mean and median.

A) mean: 89 median: 88
B) mean: 88 median: 85
C) mean: 89 median: 85
D) mean: 88 median: 89

Question 29

Solve the problem.
The circle graph below shows the results of the student council presidential election. The circle graph shows what percent of the vote each person received. How many people voted for someone other than Ted?

A) 405
B) 135
C) 365
D) 390

Question 30

The graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. Use the graph to answer the
question(s).
During which two hour period did the temperature increase the most?

A) 9 a.m. to 11 a.m.
B) 12 p.m. to 2 p.m.
C) 10 a.m. to 11 a.m.
D) 10 a.m. to 12 p.m.

Question 31

Solve the problem.
A survey of the 7116 vehicles on the campus of State College yielded the following pie chart. Find the number of sedans. Round your answer to the nearest whole number.

A) 6
B) 427
C) 600
D) 71
E) 6689

Question 32

The bar graph shows the number of tickets sold each week by the garden club for their annual flower show. Use the
graph to answer the question(s).
How many more tickets were sold during week 3 than week 6?

A) 11 tickets
B) 21 tickets
C) 16 tickets
D) 49 tickets

Question 33

Solve the problem.
The professor of economics at a small Texas University wanted to determine what year in school students were taking his tough economics course. Shown above is a pie chart of the results.
What percentage of the class took the course prior to reaching their senior year?

A) 86%
B) 54%
C) 44%
D) 14%

Question 34

Solve the problem.
In 1984, the average selling price of an existing single family home in Anytown, USA, was $69,636. Between 1984 and 1993, the average price increased by 7%. Between 1993 and 1999, the average price increased again,
This time by 9%. What was the median house price in Anytown in 1999?

A) $812,164,668.00
B) $81,216.47
C) $438.71
D) $74,510.52

Question 35

Solve the problem.
The bar graph above shows the political party affiliation of 1,000 registered U.S. voters. What percentage of the 1,000 registered U.S. voters belonged to one of the traditional two parties (Democratic and Republican)?

A) 50%
B) 75%
C) 25%
D) 35%
E) 40%

Question 36

Solve the problem.
Yvonne decided to drive home from college to visit her family during Spring Break. Her odometer read 13,221 when she started the trip and 15,298 when she arrived home. She started and ended the trip on a full tank of
Gas) She made gas purchases of 10.3 gallons, 11.3 gallons, 10.4 gallons and 11.5 gallons for the car during the
Trip. How many miles per gallon did the car get on the trip?

A) 656
B) 23.87
C) 48
D) 0.02

Question 37

Solve the problem.
Brandon kept track of the number of hours he spent exercising each week. The results for four months are shown below. Find the mean number of hours Brandon spent exercising per week. Round your answer to two
Decimal places.

A) 8.25
B) 7.38
C) 7.79
D) 7.30
E) 8.01

Question 38

Solve the problem.
A local animal shelter accepts abandoned cats and dogs. Last year, 120 dogs, and 240 cats came into the shelter. 50% of the cats and 60% of the dogs needed medical treatment. How many animals needed medical treatment?

A) 192
B) 240
C) 290
D) 430

Question 39

Solve the problem.
The circle graph below shows the results of the student council presidential election. The circle graph shows what percent of the vote each person received. How many votes did Ming get?

A) 54
B) 72
C) 66
D) 108

Question 40

Solve the problem.
Frank's Furniture employees earned the following amounts last week: What was the mean amount earned by an employee last week? Round your answer to the nearest cent.

A) $365.91
B) $370.13
C) $411.65
D) $470.46
E) $359.25

Question 41

Solve the problem.
Allan's 4 quiz scores in his math class are 89, 92, 86, and 84. What score does he need to obtain on his exam to average an 85 if an exam counts as much as two quizzes?

A) 73
B) 74
C) 66
D) 79.5

Question 42

Simplify the fraction. If the fraction is already simplified, so state.

A)
B)
C) simplified
D)

Question 43

Simplify the fraction. If the fraction is already simplified, so state.

A) 40
B) simplified
C)
D) 5

Question 44

Find the product. Simplify the answer.

A) 45
B)
C)
D)

Question 45

Simplify the fraction. If the fraction is already simplified, so state.

A)
B)
C) simplified
D)

Question 46

Solve the problem.
Libby's 4 quiz scores in her math class are 89, 93, 88, and 79. What score does she need to obtain on her next quiz to average an 85? Round to the nearest whole number if necessary.

A) 66
B) 76
C) 83
D) 70

Question 47

Provide an appropriate response.
Which of these numbers are called factors: 2 ·5 = 10 ?

A) 2 and 10
B) 5 and 10
C) 2, 5, and 10
D) 2 and 5

Question 48

Find the product. Simplify the answer.

A)
B)
C)
D)

Question 49

Solve the problem.
Health care issues are receiving much attention in both academic and political arenas. A sociologist recently conducted a survey of senior citizens whose net worth is too high to qualify for Medicaid but who have no
Private health insurance. The ages of 25 uninsured senior citizens were as follows: Find the median of the observations.

A) 69
B) 68
C) 73
D) 72
E) 72.5

Question 50

Simplify the fraction. If the fraction is already simplified, so state.

A)
B) simplified
C)
D)

Question 51

Simplify the fraction. If the fraction is already simplified, so state.

A)
B) simplified
C)
D)

Question 52

Simplify the fraction. If the fraction is already simplified, so state.

A)
B)
C) simplified
D)

Question 53

Provide an appropriate response.
Which of the following is NOT a way to indicate the product "3 times x ?"

A) 3x
B) 3(x)
C) (3)(x)
D) All of these are acceptable forms.

Question 54

Simplify the fraction. If the fraction is already simplified, so state.

A)
B)
C)
D) simplified

Question 55

Provide an appropriate response.
Which of these numbers or variables are called factors: 2 · x = 2x ?"

A) 2 and 2x
B) 2, x, and 2x
C) 2 and x
D) 2

Question 56

Simplify the fraction. If the fraction is already simplified, so state.

A)
B)
C) simplified
D)

Question 57

Find the product. Simplify the answer.
Write your answer as a mixed number.

A)
B) 6
C)
D)

Question 58

Simplify the fraction. If the fraction is already simplified, so state.

A)
B) simplified
C)
D)

Question 59

Simplify the fraction. If the fraction is already simplified, so state.

A)
B)
C)
D) simplified

Question 60

Provide an appropriate response.
Which of the following is NOT a way to indicate the product "3 times 2 ?"

A) 3(2)
B) (3)2
C) (32)
D) (3)(2)

Question 61

Solve the problem.
Tim needs to apply gallons of herbicide per acre of soybeans. How many gallons of herbicide are needed for 396 acres?

A)
B) 495 gal
C)
D) 100 gal

Question 62

Find the quotient. Simplify the answer.

A)
B)
C)
D)

Question 63

Find the quotient. Simplify the answer.

A)
B)
C)
D)

Question 64

Find the quotient. Simplify the answer.

A)
B)
C)
D)

Question 65

Find the quotient. Simplify the answer.

A)
B)
C)
D)

Question 66

Find the product. Simplify the answer.

A)
B) 24
C) 25
D) 26

Question 67

Find the quotient. Simplify the answer.

A)
B)
C)
D)

Question 68

Find the product. Simplify the answer.

A)
B)
C)
D)

Question 69

Find the product. Simplify the answer.

A)
B)
C)
D)

Question 70

Solve the problem.
On a certain map, 1 inch equals 28 miles. How many miles are in inches?

A)
B) 24 mi
C) 105 mi
D)

Question 71

Find the quotient. Simplify the answer.

A)
B)
C)
D)

Question 72

Find the quotient. Simplify the answer.

A)
B)
C)
D)

Question 73

Solve the problem.
It requires cups of concentrate per quart of water to make a certain juice. How many cups are needed to make quarts of juice?

A)
B) 161 cups
C)
D)

Question 74

Find the quotient. Simplify the answer.
8

A) 27
B)
C)
D) 12

Question 75

Solve the problem.
Rennie is saving of her monthly income of $6080 for retirement. How much money is she setting aside each month for retirement?

A) $320
B) $640
C) $57,760
D) $160

Question 76

Find the product. Simplify the answer.

A)
B)
C)
D) 3

Question 77

Solve the problem.
A small company sells stock for dollars per share. How much will 88 shares cost?

A) 77 dollars
B)
C) 80 dollars
D) 649 dollars

Question 78

Find the quotient. Simplify the answer.

A)
B)
C) 6
D)

Question 79

Find the product. Simplify the answer.

A) 6
B) 11
C) 12
D) 8

Question 80

Find the quotient. Simplify the answer.

A) 28
B)
C)
D)