SOLUTION: This is from the Compass sample test. Algebra Placement Polynomials 5.Which of the following is equivalent to 3a+4b-(-6a-3b)? the answer is 9a+7b Why did the the probl

Question 101334: This is from the Compass sample test.
Algebra Placement
Polynomials
5.Which of the following is equivalent to
3a+4b-(-6a-3b)?
the answer is
9a+7b
Why did the the problem expand to 3a+4b+6a+3b? I do not remember the rules for this.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
3a+4b-(-6a-3b) = 3a+4b+6a+3b because the negative sign in front of the parentheses indicates that, when you remove the parentheses, you should multiply every term within the parentheses by -1 and so, -1(-6a) = +6a and -1(-3b) = +3b, so you get:
3a+4b+6a+3b = 9a+7b
RELATED QUESTIONS
This is from the Compass sample test Algebra Placement Polynomials 6. What is the... (answered by jim_thompson5910)

which of the folowing is equivalent to 3a+4b-(-6a-3b)? 16ab -3a+b -3a+7b 9a+b... (answered by rapaljer)

What's the equivalent to... (answered by jim_thompson5910)

What is the equivalent to 3a + 4b - (-6a - 3b) and how do you get to the... (answered by richwmiller)

The following are from the Compass sample test. Algebra Placement Linear equations... (answered by doukungfoo)

3a+4b-(-6a-3b)= (answered by tutor_paul)

From the compass study guide. Algebra Placement Test Sample. The question reads as... (answered by Earlsdon)

what is the average arithmetic mean 0f 8 7 7 5 3 2 2 ? the problem comes from a pre-test (answered by 067isa)

How would I use the elimination method to solve this problem? 2a+b=3 -3a-2b=-1 This... (answered by MathLover1,MathTherapy)