### All High School Math Resources

## Example Questions

### Example Question #1 : Simplifying Equations

Simplify the fraction to the lowest terms:

**Possible Answers:**

Cannot be simplified

**Correct 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.

### Example Question #1 : Simplifying Equations

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

**Possible Answers:**

**Correct answer:**

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:**

Divide both sides by :

### Example Question #3 : Simplifying Equations

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

**Possible Answers:**

2

5

10

8

12

**Correct answer:**

5

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.