# How do you simplify and solve equations?

## How do you simplify and solve equations?

Here are the basic steps to follow to simplify an algebraic expression:

1. remove parentheses by multiplying factors.
2. use exponent rules to remove parentheses in terms with exponents.
3. combine like terms by adding coefficients.
4. combine the constants.

How do you simplify algebraic?

To simplify any algebraic expression, the following are the basic rules and steps:

1. Remove any grouping symbol such as brackets and parentheses by multiplying factors.
2. Use the exponent rule to remove grouping if the terms are containing exponents.
3. Combine the like terms by addition or subtraction.
4. Combine the constants.

### How do you solve fractions with denominators?

1. Step 1: If needed, rewrite the numerator and denominator so that they are each a single fraction.
2. Step 2: Divide the numerator by the denominator by multiplying the numerator by the reciprocal of the denominator.
3. Step 3: If needed, simplify the rational expression.

How do you add mixed numbers with different denominators?

1. To add mixed numbers, we first add the whole numbers together, and then the fractions.
2. If the denominators of the fractions are different, then first find equivalent fractions with a common denominator before adding.
3. Subtracting mixed numbers is very similar to adding them.

#### How do you rationalize denominators?

So, in order to rationalize the denominator, we need to get rid of all radicals that are in the denominator.

1. Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator.
2. Step 2: Make sure all radicals are simplified.
3. Step 3: Simplify the fraction if needed.

Why do we need to rationalize the denominator?

The point of rationalizing a denominator is to make it easier to understand what the quantity really is by removing radicals from the denominators.