ACT Math : How to solve for a variable as part of a fraction

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #91 : Algebraic Fractions

Solve for 

Possible Answers:

Correct answer:

Explanation:

To solve these types of problems, you need to cross multiply the fractions

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Then, all we need to do is distribute the , combine like terms, and solve the algebraic equation.    

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Example Question #92 : Algebraic Fractions

Solve for :

Possible Answers:

Correct answer:

Explanation:

Cross-multiply:

Distribute: 

Solve for x: 

Example Question #41 : How To Solve For A Variable As Part Of A Fraction

Solve for 

Possible Answers:

Correct answer:

Explanation:

Solve this question by cross-multiplying:

Example Question #41 : How To Solve For A Variable As Part Of A Fraction

If , what is the value of ?

Possible Answers:

Correct answer:

Explanation:

To solve this question, substitute -5 in for x in the numerator and denominator. Remember that the square of a negative number is positive.

45 / -9 = -5

 

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