Problem Solving

The table above shows the distribution of the number of absences from a certain English class during the spring semester. For those students who had at least 1 absence, what was the median number of absences?

If Q is an odd number and the median of Q consecutive integers is 120, what is the largest of these integers?

A dance troupe has a total of 50 dancers split into 2 groups. The costumes worn by Group A cost $80each,andthosewornbyGroupBcost$90 each. If the total cost of all the costumes is $4,270, what is the total cost of the costumes worn by Group B ?

The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 16, how many more dollars, in terms of x, will it cost per person?

The graph shows the number of computers assembled during each of 6 consecutive days. From what day to the next day was the percent change in the number of computers assembled the greatest in magnitude ?

In a certain fraction, the denominator is 16 greater than the numerator. If the fraction is equivalent to 80 percent, what is the denominator of the fraction?

In the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 40 percent of the male and 20 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?

If 0 < x < 1, what is the median of the values x , x − 1 , x 2 , x √ x and x 3 ?

If a function f is defined by f (x) = − 1 x for all non zero numbers x. If f (a) = − 1 2 and f (a b) = 1 6 then b= ?

­A certain method for calculating pediatric drug dosages states that if d is the adult dosage, in milligrams, and y is the child’s age, in years, then the child’s dosage, in milligrams, is d × (y + 1 24) . If the adult dosage for a particular drug is 800 milligrams, what is an 8-year-old child’s dosage, in milligrams, according to this method?

Of the following, which is the closest to 60.2 1.03 * 4.86 ?

The population of City X is 50 percent of the population of City Y. The population of City X is what percent of the total population of City X and City Y?

The regular price per can of a certain brand of soda is $0.40. If the regular price per can is discounted 15 percent when the soda is purchased in 24-can cases, what is the price of 72 cans of this brand of soda purchased in 24-can cases?

If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =

To rent a tractor, it costs a total of x dollars for the first 24 hours, plus y dollars per hour for each hour in excess of 24 hours. Which of the following represents the cost, in dollars, to rent a tractor for 36 hours?

(− 3) (− 2) =

In the coordinate system above, which of the following is the equation of line l ?

Figures X and Y above show how eight identical triangular pieces of cardboard were used to form a square and a rectangle, respectively. What is the ratio of the perimeter of X to the perimeter of Y?

On a scale drawing, a rectangle 1 inch by 1 1 3 inches represents the floor of a room and the indicated scale is 1 inch equals 15 feet. How many square tiles 6 inches on a side will be needed to cover this floor?

Which of the following equations has 1 + √2 as one of its roots?