2.2: Weighted Means
Find the mean of the following data set:
6, 8, 8, 10, 13, 15, 17
11
Simplify:
(x4)(x7)
x11
Find the perimeter and area of a rectangle with a length of 5 cm and a width of 12 cm
P = 34 cm
A = 169 cm2
Solve:
x - 9 = 14
x = 23
Solve:
6 / 10 = x / 25
x = 15
Find the median of the following data set:
6, 8, 8, 10, 13, 15, 17
10
Simplify:
(a3)4
a12
Simplify:
4(3x - 5) + 2x
14x - 20
Solve:
3x + 7 = 28
x = 7
Solve:
(y + 3) / 12 = 8 / 16
y = 3
Find the mode of the following data set:
6, 8, 8, 10, 13, 15, 17
8
Evaluate:
642/3
16
Simplify:
9xy - 9x + 17xy + 8x
26xy - x
Solve:
4(x + 2) - 6 = 2x + 12
x = 5
A recipe uses 3 cups of flour to make 12 muffins. If you want to make 20 muffins, how many cups of flour will you need?
5 cups of flour
What is the difference between a median and a mode?
A median find the number in the middle while the mode is the number that appears the most
Simplify:
(x2)x3(x5)
x10
Simplify:
8x2 + 4y + 8y + 16x2 - 12x
24x2 + 12y - 12x
An online retailer is selling used books for $6.49, and you have $50 to spend. How many books can you buy if you must pay 6.5% sales tax and an additional 10% for shipping?
7 books
On a map, 2 inches represents 15 miles. If two cities are 6 inches apart on the map, how far apart are the cities in real life?
45 miles
A student earns the following grades. Use A = 4, B = 3, C = 2, D = 1, and F = 0 grade points. Calculate the GPA
Course Credit Hours Grade
Math 4 A
English 3 B
Biology 4 C
History 3 A
3.21
Simplify:
(3x2y3)2 / (9xy)
x3y5
Simplify:
(2x + 5)(3x - 1)
6x2 + 13x - 5
Suppose you want to treat your MATH 099 class to donuts on exam day. Each donut is $1.25, plus you buy yourself a latte for $4.50. You have to pay 7.25% sales tax. If your teacher gives you $40 dollars for the pick up, how many donuts can you buy?
26 donuts
A person who is 5 feet tall casts a shadow that is 4 feet long. At the same time of day, a tree casts a shadow that is 20 feet long. How tall is the tree?
25 feet