High School Math : Solving Equations

Study concepts, example questions & explanations for High School Math

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Example Questions

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Example Question #34 : Equations

Goldenrod paint is made by mixing one part red with three parts yellow.  How many gallons of yellow paint should be mixed with two quarts of red paint?

Possible Answers:

Correct answer:

Explanation:

This problem is solved using proportions and the following conversion factor:

Let yellow quarts of paint.

Then cross multiply to get .

Example Question #35 : Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

Multiply both sides by to eliminate the fractions to get .

Then use the distributive property to get .

Now subtract from both sides to get .

Now subtract from both sides to get .

Example Question #36 : Equations

To mail a package, there is an initial charge of  to cover the first ounce, with another for each additional ounce.  How much does it cost to mail a half pound package?

Possible Answers:

Correct answer:

Explanation:

, so we are trying to mail ounces. The total postage becomes .

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