### All Algebra 1 Resources

## Example Questions

### Example Question #1 : Simplifying Expressions

Simplify:

**Possible Answers:**

None of the other answers are correct.

**Correct answer:**

First, distribute –5 through the parentheses by multiplying both terms by –5.

Then, combine the like-termed variables (–5x and –3x).

### Example Question #1 : How To Multiply Binomials With The Distributive Property

Expand:

**Possible Answers:**

**Correct answer:**

First, FOIL:

Simplify:

Distribute the through the parentheses:

Rewrite to make the expression look like one of the answer choices:

### Example Question #2 : How To Multiply Binomials With The Distributive Property

**Possible Answers:**

**Correct answer:**

.

### Example Question #3 : How To Multiply Binomials With The Distributive Property

Expand:

**Possible Answers:**

None of the other answers are correct.

**Correct answer:**

Use the FOIL method, which stands for First, Inner, Outer, Last:

### Example Question #1 : Binomials

Using the distributive property, simplify the following:

**Possible Answers:**

**Correct answer:**

The distributive property is handy to help get rid of parentheses in expressions. The distributive property says you "distribute" the multiple to every term inside the parentheses. In symbols, the rule states that

So, using this rule, we get

Thus we have our answer is .

### Example Question #2 : How To Multiply Binomials With The Distributive Property

Expand:

**Possible Answers:**

None of the other answers

**Correct answer:**

To multiple these binomials, you can use the FOIL method to multiply each of the expressions individually.This will give you

or .

### Example Question #6 : How To Multiply Binomials With The Distributive Property

Multiply:

**Possible Answers:**

**Correct answer:**

In order to multiply the binomials, we will need to multiply each term of the first binomial with the terms of the second binomial.

Simplify each term.

Combine like terms and reorder the powers from highest to lowest order.

The answer is:

### Example Question #7 : How To Multiply Binomials With The Distributive Property

Multiply the binomials:

**Possible Answers:**

**Correct answer:**

Multiply each term of the first binomial with the terms of the second binomial.

Simplify the terms of this expression.

There are no like terms to simplify.

The answer is:

### Example Question #8 : How To Multiply Binomials With The Distributive Property

Multiply:

**Possible Answers:**

**Correct answer:**

Multiply each term of the first binomial with the second binomial and add the terms.

Simplify by distribution.

Combine like-terms.

The answer is:

### Example Question #9 : How To Multiply Binomials With The Distributive Property

Simplify the following expression.

**Possible Answers:**

None of the other answers

**Correct answer:**

Use the FOIL method to multiply the binomials given.

F:

O:

I:

L:

Group any like terms (none for this problem) when putting all the terms back together.