### All Algebra 1 Resources

## Example Questions

### Example Question #1 : Monomials

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### Example Question #1 : Monomials

Evaluate.

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Using the distributive property you are simply going to share the term , with every term in the poynomial

Now because we are multiplying like variables we can add the exponents, to simplify each expression

This will be our final answer because we can not add terms unless they are 'like' meaning they contain the same elements and degrees.

### Example Question #1 : Monomials

Multiply:

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### Example Question #2 : Monomials

Simplify the following:

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None of the other answers

**Correct answer:**

Distribute the to each term in the parentheses in the other polynomial.

Putting the results back together

### Example Question #1 : Monomials

Multiply:

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Multiply each term of the polynomial by . Be careful to distribute the negative sign.

Add the individual terms together:

### Example Question #1 : How To Multiply A Monomial By A Polynomial

Simplify the following

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Distribute to each term in the parentheses in the polynomial

Combine the results

### Example Question #1 : Monomials

Expand the expression by multiplying the terms.

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When multiplying, the order in which you multiply does not matter. Let's start with the first two monomials.

Use FOIL to expand.

Now we need to multiply the third monomial.

Similar to FOIL, we need to multiply each combination of terms.

Combine like terms.

### Example Question #1 : Monomials

Find the product:

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First, mulitply the mononomial by the first term of the polynomial:

Second, multiply the monomial by the second term of the polynomial:

Add the terms together:

### Example Question #1 : Monomials

Expand:

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**Correct answer:**

To expand, multiply 8x by both terms in the expression (3x + 7).

8x multiplied by 3x is 24x².

8x multiplied by 7 is 56x.

Therefore, 8x(3x + 7) = 24x² + 56x.

### Example Question #1 : Monomials

Write as a polynomial.

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**Correct answer:**

We need to distribute the 4x^{2} through the terms in the parentheses:

This becomes .

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