Expressions & Equations
Work, Rate, & Speed
Exponents
100
2(3x+2)-8=5x-3
x=1
100
Kate rode her bicycle for 30 minutes at a speed of 20 mph, then walked for 90 minutes at a speed of 4 mph. What was her overall average speed in miles per hour?
8mph
100
What is the units digit of the product 2^{2014} * 3^{2014} ?
6
200
Given that 75% of a certain number is 88, what is 3/8 of the number?
44
200
One pipe can fill a tank in 4 hours, and a larger pipe can fill the same tank in 3 hours. If both pipes are used simultaneously, how many hours will it take to fill 7 same tanks?
12 hours
200
If 2^{1998}-2^{1997}-2^{1996}+2^{1995} = k * 2^{1995}, what is the value of k?
3
300
If x and y are positive numbers such that 40% of x% of y is equal to x, what is the value of y?
250
300
George walks 1 mile to school. He leaves home at the same time each day, walks at a steady speed of 4 miles per hour, and arrives just as school begins. Today he was distracted by the pleasant weather and walked the first 1/3 mile at a speed of only 2 miles per hour. At how many miles per hour must George run the last 2/3 mile in order to arrive just as school begins today?
6mph
300
Given 
and 
, find the value of 
27