### All ISEE Middle Level Math Resources

## Example Questions

### Example Question #1 : How To Find The Distributive Property

Which of the following expressions is equivalent to the expression below?

**Possible Answers:**

**Correct answer:**

First, we can distribute the into the parentheses.

Now we can simplify the terms.

Subtracting a negative is the same as adding a positive.

### Example Question #2 : How To Find The Distributive Property

**Possible Answers:**

**Correct answer:**

Using the distributive property, multiply 3 times each of the numbers in parentheses, then add both products:

The answer is 27.

Alternatively, add the two terms inside the parentheses and then multiply the sum by 3:

### Example Question #3 : How To Find The Distributive Property

**Possible Answers:**

**Correct answer:**

First, using the distributive property, multiply 5 times each number in parenthesis, then add the products.

Finally, divide the numerator by the denominator.

The answer is 7.

Alternatively, first cancel the 5s and then add the terms in the parentheses:

### Example Question #4 : How To Find The Distributive Property

Simplify the expression:

**Possible Answers:**

**Correct answer:**

Apply the distributive property:

### Example Question #5 : How To Find The Distributive Property

Simplify the expression:

**Possible Answers:**

**Correct answer:**

Apply the distributive property:

### Example Question #6 : How To Find The Distributive Property

Which of the following expressions is equal to according to the distributive property of multiplication over addition?

**Possible Answers:**

**Correct answer:**

According to the distributive property, for any values of ,

If we set , this becomes the statement

.

Note that two of the other choices are equal to , but for different reasons; is equivalent because of the commutative property of addition, and is equivalent because of the commutative property of multiplication. The other two choices are not equal to at all.

### Example Question #7 : How To Find The Distributive Property

**Possible Answers:**

**Correct answer:**

### Example Question #8 : How To Find The Distributive Property

**Possible Answers:**

**Correct answer:**

### Example Question #9 : How To Find The Distributive Property

**Possible Answers:**

**Correct answer:**

First add the terms inside the parentheses, then multiply:

### Example Question #10 : How To Find The Distributive Property

**Possible Answers:**

**Correct answer:**

Subtract the terms inside the parentheses, and then multiply by the term outside of the parentheses:

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