### All ISEE Lower Level Quantitative Resources

## Example Questions

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

Which expression demonstrates the Distributive Property?

**Possible Answers:**

**Correct answer:**

The distributive property involves multiplying each term inside of the parentheses by the term outside of the parentheses. The distributive property is:

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

Use the distributive property to expand:

**Possible Answers:**

**Correct answer:**

Remember: FOIL (first, outer, inner, last) to expand.

F:

O:

I:

L:

Now you have four terms:

Simplify:

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

Use the distributive property to evaluate this expression:

**Possible Answers:**

**Correct answer:**

When you multiply it out using the distributive property, you get . Add those together to get .

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

Calculate the value of .

**Possible Answers:**

**Correct answer:**

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

Simplify.

**Possible Answers:**

**Correct answer:**

By the distributive property, you must multiply both numbers within the parentheses by the number outside the parentheses. In this case, the expression becomes

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

Which answer choice represents the distributive property?

**Possible Answers:**

**Correct answer:**

The distributive property involves multiplying the outside term by the first term in the parentheses and then adding/subtracting it to the product of the outside term and the second term of the parentheses. Since there's a plus sign, we're adding. Therefore, the result is .

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

Solve for :

**Possible Answers:**

**Correct answer:**

The distributive property is needed to solve this problem. The distributive property is .

Now to solve for x we need to subtract 24 from both sides.

From here we need to divide by 3.

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

Use the distributive property to expand the expression:

**Possible Answers:**

**Correct answer:**

The distributive property is needed to solve this problem. The distributive property is . In this particular, case the FOIL technique should be used to expand this expression. FOIL is an acronym that helps students remember to multiply the **f**irst terms in each parentheses, then the **o**utside terms in each parentheses, followed by multiplying the **i**nside terms and then finally multiplying the **l**ast terms in each parentheses.

The final step to expand this expression is to combine like terms. Thus, the correct answer is

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

Use the distributive property to expand the expression:

**Possible Answers:**

**Correct answer:**

The distributive property is needed to solve this problem. The distributive property is . In this particular, case the FOIL technique should be used to expand this expression. FOIL is an acronym that helps students remember to multiply the **f**irst terms in each parentheses, then the **o**utside terms in each parentheses, followed by multiplying the **i**nside terms and then finally multiplying the **l**ast terms in each parentheses.

The last step to solving this problem is to combine like terms. Thus, the correct answer is:

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

Use the distributive property to solve for .

**Possible Answers:**

**Correct answer:**

The distributive property needs to be used to solve this expression for x.

The distributive property is:

From here we need to subtract 48 from both sides to isolate x.

Now we need to divide by -1 inorder to solve for x.

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### All ISEE Lower Level Quantitative Resources

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