# Algebra 1 : Monomials

## Example Questions

### Example Question #25 : Simplifying Expressions

Find the product:

Explanation:

times  gives us , while  times 4 gives us . So it equals .

### Example Question #26 : Simplifying Expressions

Distribute:

Explanation:

Be sure to distribute the  along with its coefficient.

### Example Question #32 : Simplifying Expressions

Simplify the following expression.

None of the other answers

Explanation:

Distribute the outside term into the parentheses.

Simplify each distributed factor into one expression.

### Example Question #81 : Expressions

Simplify the following expression.

None of the other answers.

Explanation:

Distribute the outside term into the parentheses.

Simplify each distributed factor into one expression.

Explanation:

### Example Question #29 : Simplifying Polynomials

Explanation:

Use the distributive property to obtain each term:

Explanation:

### Example Question #12 : Monomials

Multiply:

Explanation:

To multiply this expression, multiply the monomial times both terms in the binomial.

First we will multiply , which represents . This is why we evalute this by multiplying and adding the exponents for x to get .

Now multiply .

Our answer is just .

### Example Question #13 : Monomials

Multiply  by .

Explanation:

To multiply a monomial by a polynomial, you simply multiply the monomial by each term in the polynomial. In this case that means that the solution is to multiply everything by . The answer becomes .

Multiply: