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?

Accepted Answer

The formula to calculate profit or loss is: (selling price - buying price) × number of shares
Here, the buying price is $40.34 and the selling price is $35.69. 
Therefore, the loss = ($35.69 - $40.34) × 110 = -$511.50 (negative because it is a loss)
Hence, the correct answer is D, 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?

Accepted Answer

The total cost includes the down payment, the total of all payments, and maintenance costs: $500 (down payment) + (60 payments * $275) + $774 (maintenance) = $500 + $16,500 + $774 = $17,774. Selling the car for $4,450 results in a loss of $17,774 - $4,450 = $13,324.

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?

Accepted Answer

To calculate Joe's phone bill we need to add the basic fee of $15 to the cost of the minutes. Joe made 860 minutes of calls, so we multiply that by the cost per minute which is $0.05.

Total cost of minutes = 860 x $0.05 = $43

Adding the basic fee to the cost of the minutes, we get:

Total phone bill = $15 + $43 = $58

Therefore, the best choice is B as it is the correct amount for Joe's phone bill. Joe's phone bill includes a $15 basic fee plus $0.05 per minute for all 860 minutes of calls. 
Therefore: 
Total bill = (860 minutes x $0.05 per minute) + $15 basic fee 
Total bill = $43 + $15 
Total bill = $58 
Therefore, the best choice is B, $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.

Accepted Answer

The total amount to be repaid is the principal ($600) plus the interest ($24), which equals $624. Dividing this total by the loan period (4 months) gives the monthly payment: $624 / 4 = $156.

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?

Accepted Answer

Bethany's total cost includes the down payment, the payments made, and maintenance costs: $740 + (55 * $204) + $613 = $740 + $11220 + $613 = $12573. Selling the car for $4220 results in a loss of $12573 - $4220 = $8353.

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?

Accepted Answer

To find out how much interest Jack's brother is charging, we need to first calculate how much Jack would pay in total for the loan.

If Jack pays $105 every month for six months, he will have paid a total of $630 ($105 x 6).

Since Jack originally borrowed $480, the extra amount he is paying is the difference between what he borrowed and what he is paying back.

$630 (total paid) - $480 (original amount borrowed) = $150

Therefore, the answer is C, $150. Jack's total payment will be 6 x $105 = $630. 
The extra amount his brother is charging for the loan is: 
$630 - $480 = $150.

Therefore, the answer is choice C.

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?

Accepted Answer

The answer of Solve the problem.
-Juanita is having her yard...

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?

Accepted Answer

The answer of Solve the problem.
-Nathan has $568.57 in his...

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?

Accepted Answer

The answer of Provide an appropriate response.
-For each hour of...

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%?

Accepted Answer

First, find the total cost of the phone and battery recharger without tax:
$37 + $22 = $59
Then, find the amount of tax to be added:
$59 x 0.06 = $3.54
Finally, add the tax to the total cost:
$59 + $3.54 = $62.54. 
Therefore, the answer is choice letter A. First, find the total cost of the phone and battery recharger before tax: $37 + $22 = $59. 
Then, calculate the sales tax on this total: $59 x 0.06 = $3.54. 
Finally, add the tax to the total cost: $59 + $3.54 = $62.54. 
Therefore, the total price for purchasing these items with sales tax is $62.54, which is option A.

Question 11

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

Accepted Answer

The answer of Provide an appropriate response.
-List the things you...

Question 12

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

Accepted Answer

The answer of Provide an appropriate response.
-Explain how a mathematics...

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.

Accepted Answer

To find the commission, we need to multiply the amount of goods sold by the commission rate expressed as a decimal. 
Commission = $69,700 x 0.032 = $2230.40 
Therefore, the best choice is A. To find the commission, multiply the sales amount by the commission rate as a decimal:

Commission = $69,700 x 0.032 = $2,230.40

Therefore, the best choice is A, $2,230.40.

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?

Accepted Answer

The answer of Provide an appropriate response.
-When studying, you should...

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.

Accepted Answer

The price of the RV before the extra charges is found by subtracting the total of the tax, title, and dealer charges ($840.31) from the total price ($24,840.31). This gives $24,840.31 - $840.31 = $24,000.00.

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?

Accepted Answer

Margaret's net is calculated by subtracting the total costs (loan payoff and repairs) from the selling price. Total costs = $73,101 (loan payoff) + $4,998 (repairs) = $78,099. Selling price = $88,320. Net = $88,320 - $78,099 = $10,221, which is a 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.)

Accepted Answer

To convert Gina's height from meters to inches, multiply her height in meters (1.05) by the conversion factor (39.37 inches per meter): 1.05 meters * 39.37 inches/meter = 41.3385 inches. Rounded to the nearest hundredth, this is approximately 41.34 inches.

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?

Accepted Answer

The balloon takes its first sample at a height of 37,000 ft. The second sample is taken 2000 ft higher, which is 39,000 ft. The third sample is taken another 2000 ft higher, which is 41,000 ft. Therefore, the fourth sample is taken at a height of 43,000 ft. The correct answer is C. The first sample is taken at 37,000 ft, then the balloon takes samples at 39,000 ft, 41,000 ft, and 43,000 ft. Therefore, the fourth sample is taken at a height of 43,000 ft, which corresponds to choice C.

Question 19

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

Accepted Answer

The sales tax is 5.6% of the original price. 
So, sales tax=(5.6/100)×$700=$39.20. 
Adding the sales tax to the original price gives the total price, which is $700+$39.20=$739.20. To find the total price, we need to add the sales tax to the original price of $700. 
Sales tax amount = 0.056 x $700 = $39.20 
Total price = $700 + $39.20 = $739.20. Therefore, the best choice is C.

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?

Accepted Answer

The net change is calculated by adding the increases and decreases together: 1.3 - 1.0 - 1.2 + 2.5 = 1.6 degrees.

Quiz 1: Real Numbers

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?

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?

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?

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.

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?

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?

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

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%?

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

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

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.

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?

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.

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?

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.)

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?

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

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?