High School Math : High School Math

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #3 : How To Solve One Step Equations With Fractions In Pre Algebra

A student is 5'4" tall. What is their height in cm?

Possible Answers:

Correct answer:

Explanation:

First, we need to convert the student's height to inches. There are 12 inches in one foot and the student is 5 feet and 4 inches tall. We need to covert feet to inches, and add 4.

So, the student is 64 inches tall. Now we need to convert to centimeters.

The key to this kind of analysis is to make sure the units cancel correctly, leaving you with the units that you need.

Example Question #361 : High School Math

Solve for .

Possible Answers:

Correct answer:

Explanation:

Multiply both sides by 3 to isolate .

Example Question #5 : How To Solve One Step Equations With Fractions In Pre Algebra

Solve for the value of .

Possible Answers:

Correct answer:

Explanation:

We need to isolate the variable. Multiply both sides by .

Example Question #4 : How To Solve One Step Equations With Fractions In Pre Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve , we need to isolate . That means we need to multiply both sides by .

Example Question #6 : How To Solve One Step Equations With Fractions In Pre Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve , we need to isolate . That means we need to divide by .

Remember, dividing by a fraction is the same as multiplying by the reciprocal. The reciprocal of  is .

 

From here you can either plug this into your calculator or work in pieces:

Example Question #7 : How To Solve One Step Equations With Fractions In Pre Algebra

What is ?

Possible Answers:

Correct answer:

Explanation:

To get rid of a fraction, we multiply by the reciprocal. So we take  and multiply both sides by :

 and  cancel each other out, so we are left with  or .

Example Question #11 : How To Solve One Step Equations With Fractions In Pre Algebra

What is ?

Possible Answers:

Correct answer:

Explanation:

To get rid of a fraction, we multiply by the reciprocal. So we take  and multiply both sides by :

Notice that  and  cancel out, leaving us with .

At this point, you can either plug  into your calculator, or you can solve this in pieces. 

We can do some manipulation to get: 

, so we can plug that into .

Example Question #12 : How To Solve One Step Equations With Fractions In Pre Algebra

What is ?

Possible Answers:

Correct answer:

Explanation:

To get rid of a fraction, we multiply by the reciprocal, so we take  and multiply both sides by :

Since , we can simplify that equation to .

Therefore, .

Example Question #13 : How To Solve One Step Equations With Fractions In Pre Algebra

What is ?

Possible Answers:

Correct answer:

Explanation:

To get rid of a fraction, we multiply by the reciprocal. So we take  and multiply both sides by :

Since , we can simplify that equation to .

Therefore, .

Example Question #14 : How To Solve One Step Equations With Fractions In Pre Algebra

What is 

Possible Answers:

Correct answer:

Explanation:

To get rid of the , we multiply both sides by :

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