# ISEE Lower Level Math : Numbers and Operations

## Example Questions

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### Example Question #1 : Distributive Property

Solve the following equation.

?

Explanation:

.

### Example Question #2 : Distributive Property

Solve

Explanation:

Use the distributive property to solve:

### Example Question #3 : Distributive Property

Expand the expression.

Explanation:

Use FOIL (first, outer, inner, last) to expand.

First:

Outside:

Inside:

Last:

Sum the four terms into one expression.

Simplify by combining like terms.

### Example Question #4 : Distributive Property

Simplify the expression:

Explanation:

### Example Question #5 : Distributive Property

Simplify the expression:

Explanation:

### Example Question #6 : Distributive Property

Use the distributive property to expand:

Explanation:

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

F:

O:

I:

L:

Now you have four terms:

Simplify:

### Example Question #7 : Distributive Property

Evaluate.

None of the other answers.

Explanation:

When there is any number next to a set of parentheses the operation is multiplication of that number and anything inside of the parentheses.

Therefore,  would be the same as  . The  would be multiplied by the  since  is the same as .

The problem becomes  and based on the order of operations the multiplication operation would be solved first.

It solves to .

### Example Question #8 : Distributive Property

Choose the expression that correctly uses the distributive property to solve:

Explanation:

To properly use the distributive property, multiple the first number by every number in parentheses:

Multiply:

Explanation:

### Example Question #10 : Distributive Property

Multiply:

Explanation:

Solve using the FOIL method:

First:

Outside:

Inside:

Last:

Add together and combine like terms:

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