What equation is two times a number plus three equals seven times that same number plus eight?
2x+3=7x+8
100
Solve using any system of equations
3x + y = 5
2x - 2y = -2
x = 2
100
3/4x=9
x = 12
100
Find the median of 31,34,48,27,39,41.
36.5
200
14x+5=2x+21
4/3
200
Noah and Kate are shopping for new guitar strings. Noah buys 2 packs of strings. Kate buys 2 packs of strings and a music book. The book costs $16. Their total cost is $72. How much is one pack of strings?
Find the mean of 45,54,31,48,56,50,40,39
Round to nearest tenths
45.4
300
Solve:
-x + 8 + 4x = 14
x=2
300
During the first 6 hours of a car trip, your average speed is 44 mi/h. During the 4 hours your average speed is 50 mi/h. What is your average speed (mi/h) for the whole trip?
(Hint: First find the total number of miles traveled.)
46.4 mi/h
300
Solve Using Substitution
x+2y=-1
3x-5y=30
(5,-3)
300
10 = x/4 - 8
x = 72
300
Find the mean, median, and mode of 102,109,110,112,98,126,104, and 123
Mean=110.5
Median= 109.5
Mode= None
400
Solve:
4x + 3 < 3x + 6
x < 3
400
A hairdresser is deciding where to open her own studio. If she chooses Location A, she will pay $1200 per month in rent and will charge $45 per haircut. If she chooses Location B, she will pay $1800 per month in rent and will charge $60 per haircut. How many haircuts would she have to give in one month to make the same profit at either location?
40 haircuts
400
Solve using any method
1/3x + 1/2y = 0
1/2x + 1/5y =11/5
(30,-20)
400
8n -(2n-3) = 12
n=3/2
400
Find the standard deviation of each data set. Round to nearest hundredth. Which data set has the greater standard deviation?
Set 1: 102,104,110,115,125,99,101
Set 2: 98,114,113,105,117,109,121
Set 1
500
The base of a triangle is 12 inches. Its height is (x + 6) inches. Its area is no more than 72 square inches. What are the possible integer values of x?
x ≤ 126
500
A farmer grows corn, tomatoes, and sunflowers on a 320-acre farm. This year, the farmer wants to plant twice as many acres of tomatoes as acres of sunflowers. The farmer also wants to plant 40 more acres of corn than of tomatoes. How many acres of each crop should the farmer plant?