Pre-Algebra : Pre-Algebra

Study concepts, example questions & explanations for Pre-Algebra

varsity tutors app store varsity tutors android store

Example Questions

Example Question #3 : Distributive Property

Distribute:

Possible Answers:

Correct answer:

Explanation:

When distributing with negative numbers we must remember to distribute the negative to all of the terms in the parentheses.

Remember, a negative multiplied by a negative is positive, and a negative multiplied by a positive number is negative.

Distribute the  through the parentheses:

Perform the multiplication, remembering the positive/negative rules:

 

Example Question #4 : Distributive Property

Which of the following is equivalent to ?

Possible Answers:

Correct answer:

Explanation:

We need to distribute -3 by multiplying both terms inside the parentheses by -3.:

 .

Now we can multiply and simplify. Remember that multiplying two negative numbers results in a positive number:

Example Question #5 : Distributive Property

Expand:

Possible Answers:

Correct answer:

Explanation:

Use the distributive property. Do not forget that the negative sign needs to be distributed as well!

Add the terms together:

Example Question #31 : Identities And Properties

Distribute:

Possible Answers:

Correct answer:

Explanation:

Remember that a negative multiplied by a negative is positive, and a negative multiplied by a positive is negative.

Distribute the  through the parentheses by multiplying it by each of the two terms: 

 

Example Question #6 : Distributive Property

Expand:

Possible Answers:

Correct answer:

Explanation:

Distribute the  by multiplying it by each term inside the parentheses. 

 

and

Therefore, 5(2 + y) = 10 + 5y.

 

Example Question #734 : Grade 6

Simplify the expression:

Possible Answers:

Correct answer:

Explanation:

To solve this question you must use the distrubitive property by multiplying x by -2 and the 2 by -2, making sure to distribute the negative as well. This gives you:

Example Question #33 : Identities And Properties

Simplify the expression:

Possible Answers:

Correct answer:

Explanation:

Recall the distributive property:

Therefore, we must multiply everything inside the parentheses by .

To simplify further, recall that multiplying like bases mean you add their exponents.

Example Question #735 : Grade 6

Which answer correctly simplifies this expression?

Possible Answers:

Correct answer:

Explanation:

To simplify this expression, use the distributive property. This means that we have to multiply the 2 times both terms inside the parentheses. , and . So, our answer is .

Example Question #2 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Simplify the following expression:

Possible Answers:

Correct answer:

Explanation:

Apply the distributive property of multiplication to remove the parenthesis from the given expression. Multiply the term outside of the parenthesis to each of the terms inside the parenthesis.

Example Question #401 : Operations And Properties

Which of the answers correctly shows the following equation distributed correctly?

Possible Answers:

Correct answer:

Explanation:

Learning Tools by Varsity Tutors