ACT Math : Algebraic Fractions

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #11 : How To Solve For A Variable As Part Of A Fraction

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve this problem you must cross mutiply, then set the two equations equal to each other. Your first equation is, your second is . This gives you . Subtract  from both sides, so you have , divide by  on both sides and you have .

Example Question #12 : How To Solve For A Variable As Part Of A Fraction

Solve for :

Possible Answers:

Correct answer:

Explanation:

Cross multiply: 

Distribute: 

Solve for

Example Question #13 : How To Solve For A Variable As Part Of A Fraction

Solve for :

Possible Answers:

Correct answer:

Explanation:

Cross-multiply: 

Solve for

Simplify:

Example Question #14 : How To Solve For A Variable As Part Of A Fraction

Solve for :

Possible Answers:

Correct answer:

Explanation:

Cross-multiply: 

Distribute: 

Solve for

Example Question #15 : How To Solve For A Variable As Part Of A Fraction

Solve for :

Possible Answers:

Correct answer:

Explanation:

Begin by cross-multiplying:

Now, solve for .

Example Question #16 : How To Solve For A Variable As Part Of A Fraction

Solve for :

Possible Answers:

Correct answer:

Explanation:

Begin by cross multiplying.

Next, solve for .

Example Question #17 : How To Solve For A Variable As Part Of A Fraction

Solve for :

Possible Answers:

Correct answer:

Explanation:

Begin by cross multiplying:

Now, solve for :

Example Question #18 : How To Solve For A Variable As Part Of A Fraction

Solve for :

Possible Answers:

Correct answer:

Explanation:

Begin by cross multiplying.

Now, solve for .

Example Question #11 : How To Solve For A Variable As Part Of A Fraction

Solve for :

Possible Answers:

Correct answer:

Explanation:

Begin by cross-multiplying.

Now, solve for :

 

Example Question #20 : How To Solve For A Variable As Part Of A Fraction

Solve for :

Possible Answers:

Correct answer:

Explanation:

First, cross multiply:

Now, solve for x.

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