Use properties to rewrite the given equation. Which equations have the same solution as 2.3p - 10.1 = 6.5p - 4 - 0.01p? Check all that apply.

[ ] 2.3p - 10.1 = 6.4p - 4
[ ] 2.3p - 10.1 = 6.49p - 4
[ ] 230p - 1010 = 650p - 400 - p
[ ] 23p - 101 = 65p - 40 - p
[ ] 2.3p - 14.1 = 6.4p - 4

Question

Use properties to rewrite the given equation. Which equations have the same solution as 2.3p - 10.1 = 6.5p - 4 - 0.01p? Check all that apply.

[ ] 2.3p - 10.1 = 6.4p - 4
[ ] 2.3p - 10.1 = 6.49p - 4
[ ] 230p - 1010 = 650p - 400 - p
[ ] 23p - 101 = 65p - 40 - p
[ ] 2.3p - 14.1 = 6.4p - 4

Mercury · Answer

*edited to correct error*

I don't want to give away too much, but I'll tell you off the bat that there are two out of 5 choices that work

- one of the choices, you can get by combining the p terms on the right side (be careful with decimals)
- another choice, you can get by multiplying both sides of the equation by 100

the rest of the choices are not equal to the original equation