Distributive Property - ISEE Lower Level Quantitative Reasoning

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

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

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

F:

O:

I:

L:

Now you have four terms:

Simplify:

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

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 .

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.

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 first terms in each parentheses, then the outside terms in each parentheses, followed by multiplying the inside terms and then finally multiplying the last terms in each parentheses.

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

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 first terms in each parentheses, then the outside terms in each parentheses, followed by multiplying the inside terms and then finally multiplying the last terms in each parentheses.

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

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 -6x.

Now we need to divide by -6 in order to solve for x.

The distributive property is needed to evaluate this expression. The distributive property is

We will apply the distributive property to both terms inside the parentheses.

Now we plug these values back into the expression to get:

The distributive property is needed to evaluate this expression.

The distributive property is

Applying this property to each term within the parentheses we get the following.

Substituting these new values into our original expression we get:

Thus,

Subtracting 10 from both sides,

therefore our final solution is,

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 first terms in each parentheses, then the outside terms in each parentheses, followed by multiplying the inside terms and then finally multiplying the last terms in each parentheses.

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

The distributive property is needed to solve this problem.

The distributive property is .

Applying this property to each of the terms within the parentheses we get the following.

Substituting these values back into the original expression we get,
on the left hand side and on the right hand side.

Thus,

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 first terms in each parentheses, then the outside terms in each parentheses, followed by multiplying the inside terms and then finally multiplying the last terms in each parentheses.

The final step is to combine like terms. Thus, the correct answer is:

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 .

This question can be solved by using the distributive property or by using order of operations.

To solve, multiply each number in parenthesis by :

Then solve:

To solve with order of operations, add within the parentheses and then multiply.

Answer:

To solve this problem, first substitute for :

Then apply the distributive property:

Where,

Thus, the final solution is:

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Sharon’s candy.

Do not forget to list their reciprocals.

Sharon can make different treat bag combinations with an even amount of candy in each bag.