ACT Math : How to use FOIL with the distributive property

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #41 : How To Use Foil With The Distributive Property

Possible Answers:

Correct answer:

Explanation:

Use the distributive property to FOIL.

Example Question #42 : How To Use Foil With The Distributive Property

 

Possible Answers:

Correct answer:

Explanation:

FOIL using the distributive property.

Example Question #43 : How To Use Foil With The Distributive Property

Possible Answers:

Correct answer:

Explanation:

Use the distributive property to FOIL.

Simplify.

Example Question #44 : How To Use Foil With The Distributive Property

Use FOIL to expand

Possible Answers:

Correct answer:

Explanation:

To FOIL, simply multiply each term by each term in the other parenthesis. Thus,

Example Question #45 : How To Use Foil With The Distributive Property

FOIL the following:

Possible Answers:

Correct answer:

Explanation:

To FOIL, remember the acronym. F-first, O-outside, I-inside, L-last. 

Thus, perform the following multiplication.

Firsts: 

Outside: 

Inside: 

Lasts: 

Gathering like terms results in the final equation.

Example Question #1141 : Algebra

What is ?

Possible Answers:

Correct answer:

Explanation:

The simple formula for difference of two squares is:

.  

To see this, you can also FOIL out

 

Multiplying the first terms, outer terms, inner terms, and last terms results in the following.

Gathering like terms the x's cancel out.

Example Question #1142 : Algebra

What is ?

Possible Answers:

Correct answer:

Explanation:

Diffference of two squares formula,

 Note that , negative cancels out.  

You can also FOIL: 

Multiplying the first terms, outer terms, inner terms, and last terms results in the following.

Example Question #41 : How To Use Foil With The Distributive Property

Multiply the complex numbers:

 (3+4i)(2+8i).

Possible Answers:

26+32i

-26+32i

-24+30i

-26-32i

22+32i

Correct answer:

-26+32i

Explanation:

Expanding out gives 6+24i+8i+32i^{2}.

We know that i=\sqrt{-1} so when we substitute that in we get 6+32i-32.

Example Question #41 : Foil

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve this equation, first distribute on the right side of the equation.

Then, subtract  from both sides.

Then divide both sides by .

Another method for solving this problem is to plug in the answer choices and solve. 

Example Question #1145 : Algebra

Possible Answers:

Correct answer:

Explanation:

FOIL by using the distributive property.

Now, simplify.

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