Which is the correct way to model the equation 5x+6=4x+(-3) using algebra tiles?

5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side

6 positive x-tiles and 5 positive unit tiles on the left side; 3 negative x-tiles and 4 positive unit tiles on the right side

5 positive x-tiles and 6 negative unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side

5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 positive unit tiles on the right side

A would be your best option. Choice A properly displays the equation, 5x+6=4x+(-3), using words. Let me know if you want an explanation of why the other options are invalid. :)

A is correct.

Step-by-step explanation:

Which is the correct way to model the equation 5x+6=4x+(-3) using algebra tiles?  

5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side.

5 positive x-tiles = 5x

6 positive unit tiles = 6

4 positive x-tiles = 4x

3 negative unit tiles = -3

B - There are 5 x tiles but its given 6 x tiles.

C  - There is 6 positive unit tile and its given 6 negative,

D - There is 3 negative unit tile but here its given positive.

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

the answer will be b x² +x-1

step-by-step explanation: