Simplifying Equations - High School Math

Card 0 of 4

Question

Simplify the fraction to the lowest terms:

Answer

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.

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Question

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

Answer

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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Question

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

Answer

Multiply both sides by to get:

Distribute the :

Combine like terms:

Divide both sides by :

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Question

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

Answer

Divide both sides by :

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