Question 1

Rewrite in slope-intercept form:

Accepted Answer

The answer of Rewrite in slope-intercept form: 
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Question 2

Find the slope of the line given by the equation:

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The answer of Find the slope of the line given...

Question 3

Find the x-intercept of:

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The answer of Find the x-intercept of: 
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Question 4

Find the y-intercept of:

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The answer of Find the y-intercept of: 
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Question 5

Find the slope of the line parallel to the line:

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The answer of Find the slope of the line parallel...

Question 6

The monthly charge for lawn service increased from $53 to $92. Find the increase in the monthly charge.

Accepted Answer

The increase in the monthly charge is calculated by subtracting the original charge from the new charge: $92 - $53 = $39.

Question 7

A bedroom carpet costs $25 per square yard. Find the cost to carpet a room that is 15 feet wide by 10 feet long.

Accepted Answer

The area of the room is 15 feet by 10 feet = 150 square feet. Since there are 9 square feet in a square yard, the area in square yards is 150 / 9 = 16.67 square yards. At $25 per square yard, the cost is 16.67 * $25 = $416.67.

Question 8

A student works 15 hr a week at a job that pays $7.50 per hour. Her bills are about $273 per week. If she can get a job paying $8.50 per hour after taxes, find the number of additional hours that she would need to work to pay her bills. Round up to the nearest whole number.

Accepted Answer

At $7.50 per hour, the student earns $112.50 (15 hours * $7.50) per week. To meet her $273 weekly bills, she needs an additional $160.50 ($273 - $112.50). With the new job paying $8.50 per hour, she needs to work approximately 18.88 hours ($160.50 / $8.50) to cover the additional amount. Since she already works 15 hours, the total required is approximately 33.88 hours. Subtracting her current 15 hours, she needs to work about 18.88 additional hours. Rounding up, she needs to work 19 additional hours.

Question 9

The tuition and fees for an out-of-state student for one semester at a state college are $7254. A student registers for 12 credits. This represents 12 hours of class time per week. The semester is 17 weeks long. There are two semesters in each school year. Find the price per hour of class time. Round to the nearest whole number.

Accepted Answer

The total cost for one semester is $7254. Since the student takes 12 credits, and this represents 12 hours of class time per week over 17 weeks, the total class time is 12 hours/week * 17 weeks = 204 hours. The cost per hour is $7254 / 204 hours = $35.56, which rounds to the nearest whole number as $36.

Question 10

Roofing shingles are sold by the "square". A square can cover an area of roof that is 13 ft long and 13 ft wide. A home improvement store sells shingles by the square or by the bundle. The area of a roof is 
Find the minimum number of squares needed to shingle this roof. Round up to the nearest square.

Accepted Answer

The answer of Roofing shingles are sold by the "square"....

Question 11

To maintain eligibility, an athlete needs a test average in math class of 75%. There are six tests in the class. On the first five tests, the athlete scored 82%, 70%, 64%, 73%, and 71%. Find the score needed on the last test to have a test average of 75%. .

Accepted Answer

The athlete needs an average of 75% on six tests. The athlete has already taken five tests and has an average of (82+70+64+73+71)/5 = 72%. To get an average of 75% on six tests, the athlete needs to score (75*6 - 72*5)/1 = 90% on the last test.

Question 12

A final semester score depends on tests (60%), homework (10%), final exam (25%), and participation (5%). A student has a test score average of 82, a homework score average of 72, a score on the final exam of 92, and a class participation score average of 13. Find the final semester score for this student. Round to the nearest whole number.

Accepted Answer

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Question 13

An employee earns $2400 in gross wages each month. For medical and dental insurance, the employee pays $42 per month and the employer pays $627 per month. Total compensation is the amount of gross wages plus the amount that the employer pays for insurance. Find the total compensation per year for the employee. .

Accepted Answer

Total compensation = Gross wages + Employer's insurance contribution= $2400 + $627= $3027 per monthTotal compensation per year = $3027 x 12= $36,324

Question 14

An IV uses 15 drops to deliver 1 mL of solution  . A patient needs to receive a solution at a rate of  . Find the needed speed of the IV in drops per minute. Round to the nearest whole number if necessary.

Accepted Answer

The answer of An IV uses 15 drops to deliver...

Question 15

In 1998, there were nine breeding pairs of wolves in Idaho. By 2004, there were 26 breeding pairs in Idaho. What was the percent increase in breeding pairs?

Accepted Answer

The percent increase is calculated by the formula: [(New Number - Original Number) / Original Number] * 100. So, [(26 - 9) / 9] * 100 = [17 / 9] * 100 ≈ 188.89%, which rounds to 189%.

Question 16

A savings account pays 1% annual interest, compounded daily. When interest is compounded daily, the interest owed is calculated every day and added to the account. The initial investment is $2000. The money is kept in the savings account for two years. Choose the best estimate for the value of the investment after two years.

Accepted Answer

The formula for compound interest is A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount (initial investment), r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the time the money is invested for in years. For this problem, P = $2000, r = 0.01, n = 365 (since the interest is compounded daily), and t = 2. Plugging these values into the formula gives an amount that is a bit more than $2040, making D the best estimate.

Question 17

The sale price of a television is $504. It is marked down 20% from its original price. What was the original price? Round to the nearest hundredth if necessary.

Accepted Answer

The original price can be found by dividing the sale price by (1 - the markdown rate). So, $504 / (1 - 0.20) = $504 / 0.80 = $630.

Question 18

A package of dried plums weighs 12 oz. The nutrition information on the label uses a serving size of 1.5 oz. How many servings are in each package?

Accepted Answer

To find the number of servings in each package, divide the total weight of the package by the serving size: 12 oz / 1.5 oz = 8 servings.

Question 19

A student at the City College of New York has a $6400 Pell Grant. Her total tuition bill for two semesters is $5000. She uses her Pell Grant to pay this tuition. Find the amount remaining in her grant after paying tuition.

Accepted Answer

After paying the $5000 tuition from the $6400 Pell Grant, she has $6400 - $5000 = $1400 remaining.

Question 20

A traveler has 3000 U.S. dollars. In Paris, the traveler changes this money into euros And spends 530 euros. In London, he changes his remaining euros into British pounds And spends 69 pounds. He finally changes his remaining pounds into dollars  . Ignoring any currency change fees, find the final number of U.S. dollars. Round to the nearest whole number.

Accepted Answer

The answer of A traveler has 3000 U.S. dollars. In...

Quiz 1: Fundamentals of Algebra