Which algebraic expression is equivalent to this expression?

6(3x-1)+9x

27x-6

Step-by-step explanation:

To distribute 6(3x-1) properly, 6 needs to be multiplied with 3x and -1.

6*(-1)=-6,

3x*6=18x.

Without simplifying, the answer we get from this is 18x+9x-6. 18x+9x=27x, so the algebraic expression equivalent to 6(3x-1)+9x is 27x-6.

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb

there will be 35 boys in each team. : )