Percentages/Averages
This year, 75% of the graduating class of Harriet Tubman High School had taken at least 8 math courses. Of the remaining class members, 60% had taken 6 or 7 math courses. What percent of the graduating class had taken fewer than 6 math courses?
72
54 – 6 ÷ 2 + 6 = ?
57
The lowest temperature on a winter morning was –8°F. Later that same day the temperature reached a high of 24°F. By how many degrees Fahrenheit did the temperature increase?
32
If the total cost of x apples is b cents, what is a general formula for the cost, in cents, of y apples?
by/x
On a math test, 12 students earned an A. This number is exactly 25% of the total number of students in the class. How many students are in the class?
48
Point A (–4,1) is in the standard (x,y) coordinate plane. What must be the coordinates of point B so that the line x = 2 is the perpendicular bisector of AB ?
(8,1)
Four students about to purchase concert tickets for $18.50 for each ticket discover that they may purchase a block of 5 tickets for $80.00. How much would each of the 4 save if they can get a fifth person to join them and the 5 people equally divide the price of the 5-ticket block?
$1.50
If 2(x – 5) = –11, then x = ?
-1/2
Adam tried to compute the average of his 7 test scores. He mistakenly divided the correct sum of all of his test scores by 6, which yielded 84. What is Adam’s correct average test score?
72
What is the slope of the line with the equation 2x + 3y + 6 = 0 ?
-2/3
An airplane flew for 8 hours at an airspeed of x miles per hour (mph), and for 7 more hours at 325 mph. If the average airspeed for the entire flight was 350 mph, which of the following equations could be used to find x ?
8x + 7(325) = 15(350)
Which of the following is equivalent to 3a + 4b – (–6a – 3b) ?
-3a+b
Cameron took 4 tests, and his scores were as follows: 100, 60, 80, and 30. Cameron took another test that was scored x. The mean score of the 5 tests he took is 72. What is the value of x?
90
A total of 50 juniors and seniors were given a mathematics test. The 35 juniors attained an average score of 80 while the 15 seniors attained an average of 70. What was the average score for all 50 students who took the test?
77
Doctors use the term maximum heart rate (MHR) when referring to the quantity found by starting with 220 beats per minute and subtracting 1 beat per minute for each year of a person’s age. Doctors recommend exercising 3 or 4 times each week for at least 20 minutes with your heart rate increased from its resting heart rate (RHR) to its training heart rate (THR), where
THR = RHR + .65(MHR – RHR)
Which of the following is closest to the THR of a 43-year-old person whose RHR is 54 beats per minute?
134
Which of the following is a factor of the polynomial x^2 – x – 20 ?
x-4
When getting into shape by exercising, the subject’s maximum recommended number of heartbeats per minute (h) can be determined by subtracting the subject’s age (a) from 220 and then taking 75% of that value. This relation is expressed by which of the following formulas?
h= .75(220-a)
A boat is traveling at a speed of 30 miles per hour. What is the boat’s speed in feet per second?
(Note: 1 mile =5,280 feet)
44
If (¾ - ⅔) + (½ + ⅓) is calculated and the answer reduced to simplest terms, what is the denominator of the resulting fraction?
12
Which of the following is a factor of x^2 – 5x – 6 ?
(x-6)