High School Math : Simplifying Equations

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #2 : Equations

Simplify the fraction to the lowest terms:

Possible Answers:

Cannot be simplified

Correct answer:

Explanation:

Find the common multiple between the numerator and denominator.

divide numerator and denominator by 3:

divide numerator and denominator by 7:

divide numerator and denominator by 4:

Cannot be divided any more- lowest terms.

Example Question #1 : Equations

Solve the following equation for x in terms of the other variables:

Possible Answers:

Correct answer:

Explanation:

  

Multiply both sides by to get:

Distribute the :

 

Combine like terms:

Divide both sides by :

Example Question #2 : Simplifying Equations

Solve the following equation for x in terms of the other variables:

Possible Answers:

Correct answer:

Explanation:

Divide both sides by :

Example Question #2 : Equations

If given the equation , with a positive integer, the result must be an integer multiple of:

Possible Answers:

8

12

5

2

10

Correct answer:

5

Explanation:

The mathematical expression given in the question is . Adding together like terms, , this can be simplified to . The expression  can be factored as . For every positive integer ,  must be a multiple of 5. If , then , which is not an integer multiple of 2, 8, 10, or 15. Therefore, the correct answer is 5.

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