Answer: no, no, yes, no, yes, yes
Step-by-step explanation:
x + 1, 2x, these are not equivalent
no
10x, 5(x+5)
5(x+5) distribute the 5 to get 5(x+5) = 5x + 25
5x + 25 is not equal to 10x, so no
no
1 + 2x = 2x + 1, these are equivalent since the constant and coefficients are the same
yes
2x, 2x - 5, these are not equivalent since once has a constant of -5 while the other does not
no
15x -1, 3(x+4x) - (3-2)
3(x+4x) - (3-2) combine like terms
3(5x) - (1) multiply through parentheses
= 15x -1
so 15x - 1 = 3(x+4x) - (3-2), these are equivalent
yes
1/2 * (4x-2),2x-1
1/2 * (4x-2) multiply through parentheses to get
2x - 1
so these two are equivalent
yes
