Question

1/3 - 3 (2/7x - 4) Which of the expressions are equivalent to the expression above? A) 1/3 - (3)(2/7x)-(3)(4) B) 1/3 - 6/7x + 12 C) -11 2/3 - 6/7x D) 12 1/3 - 6/7x E) 1/3 - 6(1/7x - 2) F) 1/3 + (-3)(2/7x) -(3)(4)

Answer 1

$\frac{1}{3} -3(\frac{2}{7}x-4) =\frac{1}{3} - \frac{6}{7}x +12$

$\frac{1}{3} -\frac{6}{7}x + \frac{36}{3} =\frac{37}{3}- \frac{6}{7}x = 12\frac{1}{3} -\frac{6}{7} x$

A.) 1/3 - 3(2/7x) - (3)(4)  No because - (3)(4) is -12

B.) 1/3 - 6/7x + 12  Yes

C.) -11 2/3 - 6/7x  No because 37/3 is 12 1/3

D.) 12 1/3 - 6/7x  Yes

E.) 1/3 - 6(1/7x - 2)  =  1/3 - 6/7x + 12    Yes

F.) 1/3 + (-3)(2/7x) - (3)(4) No because - (3)(4) is -12

Your answer is B, D, and E