Fractions, Decimals & Percents
Change the following to an improper fraction:
6 3/11
69/11
3/4 = x/12
x=9
Solve:
8!
40,320
Find the reciprocal of the following number:
7/4
4/7
Jaylen made the following grades on his Biology quizzes: 78, 80, 94, 82, and 75. What is his quiz score average for the end of the semester? Round your answer to the nearest whole number.
82%
What is the formula for area of a rectangle?
A = L * W
10/12 ÷ 5/6
1
Upon his death, a man's life insurance policies paid $750,000 to his wife and three children. The policies were set up to pay the wife and children in the ratio of 5:1:1:1. How much did the children receive altogether?
$281,250
a/29 =5
145
Which of the following is not a prime number?
3,17,37,39
39
If there are 179 days in the average school year, what is the total number of days one attends both the elementary and secondary schools (12 years) when one's attendance is perfect?
179*12=2,148
What is the formula to find the area of a triangle?
A=1/2*b*h
A=(b*h)/2
What is the reciprocal of 20 in decimal form?
.05
SPC Jones can run 2 miles in 18 minutes. At the same pace, how many miles can she run in 63 minutes?
7 miles
What is the value of (-15)2 ?
225
Solve the following equation:
4x+2=-14
-4
It normally takes a team of 8 workers 24 days to completely renovate an old home. If 3 workers are out sick, how long will it take the remaining workers to complete the job? Round to the nearest whole number.
38 days
What formula(s) can you use to solve percent problems?
"part"/"whole"=x/100
"part"/"whole"=x/100="is"/"of"
Maxine had 350 books in her library. She donated
2/5
of her book collection to the thrift store, sold
4/10
online, and threw away
1/25
that were damaged. How many books does she have left?
46
A mapmaker is told to prepare a map with a scale of 1 inch = 50 miles. If the actual ground distance between two points is 120 miles, how far apart should the mapmaker show them on the map?
2.4 inches
Solve the following inequality:
-3x + 14 > 7
x<2 1/3
If x = -7, then 2x2 - 3x + 10 =
129
The sum of three consecutive numbers is 324. What is the largest of these three numbers?
109
What is the formula to find interest?
I = P*R*T
Bargain Hut advertised winter coats on sale for 15% off this week. How much will Richard save on a coat that regularly costs $175? How much will the coat cost after the discount is taken off?
*You should have TWO answers
a) $26.25
b) $148.75
To make sweet tea, Brenda used 3 parts sugar to 5 parts tea. If Brenda needs 64 total ounces of sweet tea, how many parts of tea does she use?
sugar : tea : total
3:5:8
x:x:64
40 parts tea
sqrt84
2sqrt21
Solve:
(2x-3)(x-5)
2x^2-13x+15
Jared wants to replace the flooring in his new living room that measures 15 x 18 feet. The new flooring he plans to buy costs $6.30 per square yard. How much will his new flooring cost?
$189
What is the formula for percent change?
"difference"/"original" = x/100
A soldier graduated AIT and wanted to buy a new car that costs $34,280. The bank offered him an interest rate of 9% for 60 months. What will be the total cost of the car including the accrued interest?
$49,706
The Big Green Club has decided to throw a holiday party for its 180 members, but the instructions for the strawberry fruit punch are written for 20 people. If the original recipe requires 5 large oranges and 2 quarts of strawberries, how many oranges are required for the party?
45
Solve:
x^2+x-42=0
x=-7,6
Find the slope of the following coordinates:
(-2, -4) (7, 1)
5/9
There are 124 certified nursing assistants and 36 registered nurses working at a hospital. What percentage of the workforce are registered nurses?
22.5%
What is the formula for slope?
m= (y2-y1)/(x2-x1)