### All ACT Math Resources

## Example Questions

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

**Possible Answers:**

**Correct answer:**

Use the distributive property to FOIL.

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

**Possible Answers:**

**Correct answer:**

FOIL using the distributive property.

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

**Possible Answers:**

**Correct answer:**

Use the distributive property to FOIL.

Simplify.

### Example Question #41 : Foil

Use FOIL to expand

**Possible Answers:**

**Correct answer:**

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

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

FOIL the following:

**Possible Answers:**

**Correct answer:**

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 #42 : How To Use Foil With The Distributive Property

What is ?

**Possible Answers:**

**Correct answer:**

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 #41 : Foil

What is ?

**Possible Answers:**

**Correct answer:**

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 : Distributive Property

Multiply the complex numbers:

.

**Possible Answers:**

**Correct answer:**

Expanding out gives .

We know that so when we substitute that in we get .

### Example Question #42 : Foil

Solve for .

**Possible Answers:**

**Correct answer:**

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 #1141 : Algebra

**Possible Answers:**

**Correct answer:**

FOIL by using the distributive property.

Now, simplify.