ACT Math : Algebra

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #14 : How To Use Foil With The Distributive Property

Use the FOIL method to find the product. The answer must be in standard form.

Possible Answers:

Correct answer:

Explanation:

Use the FOIL method to find the product.  The answer must be in standard form.

Step 1: Use the FOIL method

First: 

Outside: 

Inside: 

Last: 

Add these to find the product:

Step 2: Write the product in standard form

Standard form means the terms are written from highest degree to lowest degree. You find the degree of a term by adding the exponents in the term.

Therefore:

Example Question #15 : How To Use Foil With The Distributive Property

Simplify:

Possible Answers:

Correct answer:

Explanation:

Simplify:

Expand the equation and use the FOIL method:

First: 

Outside: 

Inside: 

Last: 

Sum the terms:

Example Question #18 : Foil

Use FOIL to expand out the following product:

Possible Answers:

Correct answer:

Explanation:

FOIL stands for First, Inside, Outside, Last. So multiply the first terms together:

The outside terms:

The inside terms:

and the last terms:

Now combine like terms:

Example Question #16 : Foil

When is written in its form, where , , and  are integers, what is ?

Possible Answers:

Correct answer:

Explanation:

In order to get the form, we must FOIL out .

 

FOIL is technique for distributing two binomials. The letters stand for First, Outer, Inner, and Last.

"First" stands for multiply the terms which occur first in each binomial.

"Outer" stands for multiply the outermost terms in the product.

"Inner" stands for multiply the innermost two terms.

"Last" stands for multiply the terms which occur last in each binomial.

Then, we must simplify the like terms, as shown below:

.

Here, , , while , so .

Example Question #20 : Foil

What is the product of: 

Possible Answers:

Correct answer:

Explanation:

Use FOIL to multiply the products. 
First terms: 

Outside terms: 

Inside terms: 

Last terms: 
Now combine like terms: 

Example Question #1111 : Algebra

Find the product of the two binomials:

Possible Answers:

Correct answer:

Explanation:

Use FOIL (First Outside Inside Last) to multiply the binomials:

now combine like terms and you get the result: 

Example Question #22 : How To Use Foil With The Distributive Property

Expand the following: 

Possible Answers:

Correct answer:

Explanation:

To reach the solution, use the FOIL method of the distributive property. This stands for First, Outer, Inner, Last. In this particular problem, we begin by multiplying the first two  together, yielding . Then, we multiply  by the outer number, which is , yielding . Next, we multiply the two inner numbers,  and , yielding . Finally, we multiply the last two numbers,  and , yielding . Thus, when we add all those together, the answer is  .

Example Question #1112 : Algebra

Distribute: 

Possible Answers:

Correct answer:

Explanation:

To FOIL using the distributive property, multiply the first terms together, then the outer terms, then the inner terms, and finally, the last terms. 

Example Question #1113 : Algebra

Distribute: 

Possible Answers:

Correct answer:

Explanation:

To FOIL using the distributive property, multiply the first terms together, then the outer terms, then the inner terms, and finally, the last terms.

Example Question #1114 : Algebra

Distribute:

Possible Answers:

Correct answer:

Explanation:

FOIL using the distributive property:

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