Rules Flashcards
If a fraction is greater than 1, adding the same positive constant to the numerator and denominator…
Will make the fraction smaller
3/2 + 1/1 = 4/3
(1.5 > 1.33)
If a fraction is greater than 1, subtracting the same positive constant to the numerator and denominator…
Will make the fraction larger, as long as the new fraction is still positive
3/1 - 1/1 = 2/1
1.5 < 2
Simple Interest
Interest = Principle Invested x Rate x Time
Compound Interest
A = P x (1 + r/n)^nt
Future Value = Principle value times (1 + rate over number of compounding periods per YEAR) raised to the number of compounding periods times time
Profit Equation
Profit = Revenue - Cost
Work Equation
Work = Rate x Time
Time for Work Equation
Time = Work/Rate
Rate for Work Equation
Rate = Work/Time
How many seconds are in 1 hour
3,600
Rate Equation
Rate = Distance/Time
Time - rate equation
Time = Distance/Rate
Distance - rate equation
Distance = Rate x Time
Average Rate Formula
Total Distance/Total Time
Distance 1 + Distance 2…etc)/(Time 1 + Time 2…etc
Converging Rate Problem
- Both objects leave at the same time?
- Do both objects travel at the same speed?
The total distance will be the sum of the distance each object traveled
Catch Up & Pass Formula
Time = Change in Distance/Change in Rate
Change in distance = the extra distance the faster object needs to travel above & beyond slower object
Change in rate = the rate of the faster object minus the rate of the slower object
