Math  /  Algebra

QuestionChoose the expressions equivalent to 8(3x+1)8(3 x+1): 3x+83 x+8, (3x+1)8(3 x+1) 8, 24x+824 x+8, 8(1+3x)8(1+3 x).

Studdy Solution
Now, let's compare this simplified expression with the given options.
The first option is 3x+83x +8, which is not equivalent to 24x+824x +8.
The second option is (3x+1)8(3x +1)8. This is the same as the original expression, but with the factors reversed. The commutative property of multiplication states that for all real numbers a and b, the equation ab=baab = ba holds true. So, this option is equivalent to the original expression.
The third option is 24x+824x +8, which is exactly the same as our simplified expression.
The fourth option is 8(1+3x)8(1 +3x). This is the same as the original expression, but with the terms inside the parentheses reversed. The commutative property of addition states that for all real numbers a and b, the equation a+b=b+aa + b = b + a holds true. So, this option is equivalent to the original expression.
So, the expressions equivalent to 8(3x+1)8(3x+1) are (3x+1)8(3x+1)8, 24x+824x+8, and 8(1+3x)8(1+3x).

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord