All Algebra II Resources
Example Questions
Example Question #88 : Solving Equations
A tank can fill a swimming pool in two hours. A hose can fill the same swimming pool in three hours. How long will it take in hours if both the tank and hose fill the swimming pool at the same time?
Let's set-up an equation.
represents the time they will take together and represents the job both the tank and hose finish as a whole
Find the common denominator and add the fractions. . Cross-multiply.
Divide on both sides.
hours
Example Question #88 : Solving Equations
A tank can fill a swimming pool in two hours. A hose can fill the same swimming pool in three hours. How long will it take in hours if both the tank and hose fill the swimming pool at the same time?
Let's set-up an equation.
represents the time they will take together and represents the job both the tank and hose finish as a whole
Find the common denominator and add the fractions. . Cross-multiply.
Divide on both sides.
hours
Example Question #221 : Equations
Solve for .
Subtract on both sides. When adding two negative numbers, we just add the numbers and put a minus sign in the end.
Example Question #222 : Equations
Solve for .
Subtract on both sides. Since is greater than and is negative, our answer is negative. We treat as a normal subtraction problem.
Example Question #223 : Equations
Solve for .
Subtract on both sides.
Divide on both sides.
Example Question #221 : Equations
Solve for .
Add on both sides.
Example Question #95 : Solving Equations
Solve for .
Add on both sides. Since is greater than and is negative, our answer is negative. We treat as a subtraction problem.
Example Question #92 : Solving Equations
Solve for .
Add on both sides.
Divide on both sides.
Example Question #93 : Solving Equations
Solve for .
Add on both sides.
Subtract on both sides.
Divide both sides by .
Example Question #94 : Solving Equations
Solve for .
Add on both sides.
Subtract on both sides.
Divide on both sides.