Data
Calculate the range of the data set.
{57, 49, 103, 44, 90, 102, 49}
59
A square has an area of 81cm2. What is the length of one of its sides?
9cm
A cube has a side length of 6m. What is its volume? (HINT: A cube's faces are all squares)
V = 216m3
A painter rented a wallpaper steamer at 9 a.m. and returned it at 4 p.m. He paid a total of $28.84. What was the rental cost per hour?
$4.12
Evaluate 2x + 3x - 6x + 2 when x = 0.5
1.5
A bag of marbles contains 7 black marbles and 4 red marbles. When pulling one marble from the bag, what is the probability it will be a black marble?
7/11
A circle has a diameter of 42ft. Find its circumference.
(I will accept a decimal or a number in terms of pi.)
42πft
or
131.88ft
A cardboard box in the shape of a rectangular prism has the following dimensions:
l = 10in, w = 6in, h = 7in
How many square inches of cardboard were required to make this box?
SA = 344in2
There are s steps from the pedestal to the head of the Statue of Liberty. The number of steps in the Washington Monument is 27 less than 6 times the number of steps in the Statue of Liberty. Write an expression that represents the number of steps in the Washington Monument in terms of s.
6s - 27
What is the value of 36x - 8y2 when x = 3 and y = -6?
-180
Find the mean, median, and mode of the following data set:
{8, 17, 3, 12, 7, 4, 12}
Mode: 12
Median: 8
Mean: 9
Find the area of a trapezoid with bases of 14m and 10m, and a height of 7m.
84m2
A cylinder has a radius of 5in, and a volume of 706.5in3 (let π = 3.14).
What is the height of the cylinder?
h = 9in
Dominic earns $285 per week plus an 8% commission rate on all his sales. If Dominic sells $4,213 worth of merchandise in one week, how much will his total earnings for the week be?
$622.04
Solve for a:
7a + 49 = 70
a = 3
Veronica scored a 75 and a 71 on her first two exams. To raise her mean score to an 80, what grade does she need to earn on her third test?
94
The radius of a circle is 0.25x + 7. Find its diameter.
0.5x + 14
The Pyramid of Giza stood as the tallest structure in the world for over 4,000 years. Its square base is 230.4m in length, and although it has worn down over time, it once stood with a slant height (s) of 186.45m.
Using the above measurements, find the surface area of the pyramid when built.
139,000.32m2
The cost to purchase bags of coffee is given by C = 7.50 + 15B, where C is the total cost of the order and B is the number of bags. How many bags were ordered if the total cost of the order was $97.50?
B = 6
Solve for y:
3(y - 7) + 2y - 4 = 25
y = 10
A bag of marbles contains 7 black marbles and 4 red marbles. When pulling two marbles from the bag without replacing the first, what is the probability that both will be red marbles?
6/55 or .109%
A rectangle has a length of 7cm and an area of 42cm2. Find its perimeter.
P = 26cm
Janice's house is built in the shape of a perfect cube with a square pyramid for a roof. Without the roof, the house is 12ft tall. The roof has a height (h) of 8ft.
Find the total volume of the house and roof.
V = 2,112ft3
Write an algebraic expression that represents the following:
The product of four more than twice a number and 7 fewer than another number
(2x + 4)(y - 7)
Sixty-four coins, all dimes and nickels, total $5.15. How many of the coins are dimes? (HINT: Let x equal the number of dimes)
0.10x + 0.05(64 - x) = 5.15
x = 39