Algebraic Fractions
Help Questions
ACT Math › Algebraic Fractions
Solve the following equation for :
.
Reduce any fractions in your final answer.
Explanation
To solve an equation with a variable in a fraciton, treat the denominator as a constant value and multiply both sides of the equation by the denominator in order to eliminate it.
Evaluate the following equation when and round your answer to the nearest hundredth.
Explanation
1. Plug in wherever there is an
in the above equation.
2. Perform the above operations.
Maria owns an art studio and spent in supplies. She sells her paintings for
each. How many paintings does Maria need to sell until she makes a profit?
Explanation
Divide the total money spent by the cost of each painting.
Therefore, to make a profit, she needs to sell more than this amount. Since she can't sell a portion of a painting, the answer has to be the next nearest whole number ().
Evaluate the following equation when and round your answer to the nearest hundredth.
Explanation
1. Plug in wherever there is an
in the above equation.
2. Perform the above operations.
Solve for :
Explanation
Cross multiply:
Distribute:
Solve for :
Solve the following equation for :
.
Reduce any fractions in your final answer.
Explanation
To solve an equation with a variable in a fraciton, treat the denominator as a constant value and multiply both sides of the equation by the denominator in order to eliminate it.
Solve for :
Explanation
Begin by cross-multiplying:
Now, solve for .
Solve for .
Explanation
First, cross multiply.
Now, simplify and solve for .
Solve for :
Explanation
Begin by cross-multiplying.
Solve for :
Explanation
First, cross multiply:
Now, solve for x.