Algebra
Solve the equation 2√(x+3) - 5 = 3
x = 6
Calculate the perimeter of a rectangle with length 10 cm and width 7 cm
34 cm
f(x) = x2 - x. What is f(9) - f(7)?
30
A food truck sells salads for $6.50 each and drinks for $2.00 each. The food truck's revenue from selling a total of 209 salads and drinks in one day was $863.50. How many salads were sold that day?
93
If 7n * 73 = 712, what is the value of n?
9
Factor the expression 4x3 + 16x2 + 12x
4x(x + 3)(x + 1)
Determine the volume of a cone with radius 6 m and height 10 m
200π m3
If f(x) = x2 - 9 and g(x) = 16x - 73, for what value of x does f(x) = g(x)?
8
Prajeet surveyed a random sample of the freshman class of his high school to determine whether the Fall Festival should be held in October or November. Of the 90 students surveyed, 25.6% preferred October. Based on this information, about how many students in the entire 225-person class would be expected to prefer having the Fall Festival in October?
60
2x - 5y = 8
4x + ky = 17
What value of k will the system of equations above have no solutions?
k = -10
Solve the inequality 2x2 - 5x + 3 > 0
x < 1/2 or x > 3
If the two legs of a right triangle are 2 cm long, what is the length of the hypotenuse
2√2
The function f is defined for all values x as f(x) = 50 - ax2, where a is a constant. If f(4) = 2, then what is the value of a?
3
Ling-Ling has a 3 pound pizza. If he slices it in half and then slices each half into thirds, what is the weight, in ounces, of each of the slices? (1 pound = 16 ounces)
8
The mean score of 8 players in a basketball game was 14.5 points. If the highest individual score is removed, the mean score of the remaining 7 players becomes 12 points. What was the highest score?
32
Find the value of x that satisfies the equation (x2 - 4)/(x - 2) = 0
x = -2
Calculate the area of a trapezoid with bases of lengths 6 ft and 10 ft, and a height of 8 ft
64 ft2
If n is a constant in the function f(x) = nx + 5, and f(14) = -2, what is f(2)?
4
On Saturday afternoon, Quandavius sent m text messages each hour for 5 hours, and Tyrone sent p text messages each hour for 4 hours. Make an equation, in terms of m and p, that represents the total number of messages sent by Quandavius and Tyrone on Saturday afternoon?
5m + 4p
If j/k = 32 and k = 3/2, what is the value of 1/2j?
24
Find the sum of all the solutions to the equation x3 - 5x2 + 8x - 4 = 0
Sum of solutions is 5
Find the sum of all the inner angles in a hexagon
720 degrees
Karen is three times her little brother's age, and her little brother is two years younger than his older brother. Collectively, the three of them are 27 years old. How old is Karen?
15
Jack weighs p pounds. If Jack gains 400 pounds, she will weigh as much as Johnny, who weighs 50 pounds less than Austin. If Austin weighs x pounds, then Jack's weight, p, in terms of x is
p = x - 450
Little's law can be applied to any part of the store, such as a particular department or the checkout lines. The store owner determines that, during business hours, approximately 84 shoppers per hour make a purchase and each of these shoppers spend an average of 5 minutes in the checkout line. At any time during business hours, about how many shoppers, on average, are waiting in the checkout line to make a purchase at the Dollar Tree?