### All ACT Math Resources

## Example Questions

### Example Question #51 : How To Use Foil With The Distributive Property

Distribute:

**Possible Answers:**

**Correct answer:**

FOIL using the distributive property.

Simplify.

### Example Question #51 : Foil

Distribute and simplify:

**Possible Answers:**

**Correct answer:**

To FOIL this binomial distribution, we simply distribute the terms in a specific order:

Multiply the **F**irst terms:

Multiply the **O**uter terms:

Multiply the **I**nner terms:

Multiply the **L**ast terms:

Lastly, combine any terms that allow this (usually, but not always, the two middle terms):

Arrange your answer in descending exponential form, and you're done.

### Example Question #51 : Distributive Property

What is the simplified form of ?

**Possible Answers:**

**Correct answer:**

To FOIL this binomial distribution, we simply distribute the terms in a specific order:

Multiply the **F**irst terms:

Multiply the **O**uter terms:

Multiply the **I**nner terms:

Multiply the **L**ast terms:

Lastly, combine any terms that allow this (usually, but not always, the two middle terms):

Arrange your answer in descending exponential form, and you're done.

Notice that this answer is also a *difference of squares.*

### Example Question #51 : How To Use Foil With The Distributive Property

Distribute and simplify:

**Possible Answers:**

**Correct answer:**

To FOIL this binomial distribution, we simply distribute the terms in a specific order:

Multiply the **F**irst terms:

Multiply the **O**uter terms:

Multiply the **I**nner terms:

Multiply the **L**ast terms:

Lastly, combine any terms that allow this (usually, but not always, the two middle terms):

Arrange your answer in descending exponential form, and you're done.

### Example Question #51 : Distributive Property

Distribute and simplify:

**Possible Answers:**

**Correct answer:**

To FOIL this binomial distribution, we simply distribute the terms in a specific order:

Multiply the **F**irst terms:

Multiply the **O**uter terms:

Multiply the **I**nner terms:

Multiply the **L**ast terms:

Lastly, combine any terms that allow this (usually, but not always, the two middle terms):

Arrange your answer in descending exponential form, and you're done.

### Example Question #2642 : Act Math

Distribute and simplify:

**Possible Answers:**

**Correct answer:**

To FOIL this binomial distribution, we simply distribute the terms in a specific order:

Multiply the **F**irst terms:

Multiply the **O**uter terms:

Multiply the **I**nner terms:

Multiply the **L**ast terms:

Lastly, combine any terms that allow this (usually, but not always, the two middle terms):

Arrange your answer in descending exponential form, and you're done.

### Example Question #51 : How To Use Foil With The Distributive Property

Distribute and simplify:

**Possible Answers:**

**Correct answer:**

To FOIL this binomial distribution, we simply distribute the terms in a specific order:

Multiply the **F**irst terms:

Multiply the **O**uter terms:

Multiply the **I**nner terms:

Multiply the **L**ast terms:

Lastly, combine any terms that allow this (usually, but not always, the two middle terms):

Arrange your answer in descending exponential form, and you're done.

### Example Question #51 : How To Use Foil With The Distributive Property

Distribute and simplify:

**Possible Answers:**

**Correct answer:**

The trick to this expression is to remember that only those terms which share both common variables AND common exponents are additive. In other words, you cannot add any more than you can add .

To FOIL this binomial distribution, we simply distribute the terms in a specific order:

Multiply the **F**irst terms:

Multiply the **O**uter terms:

Multiply the **I**nner terms:

Multiply the **L**ast terms:

Lastly, combine any terms that allow this (usually, but not always, the two middle terms). In this case, no two terms are compatible.

Arrange your answer in descending exponential form, and you're done.