Question

Which expression is equivalent to 1/4(2−5x+6)? Responses −5x+6 1/2 negative 5 x plus 6 and 1 half −5/4x+2 negative fraction 5 over 4 end fraction x plus 2 −5/4x+1 negative fraction 5 over 4 end fraction x plus 1 −5x+8

Answer 1

Expand the following:

(-5 x + 2 + 6)/4

Grouping like terms, -5 x + 2 + 6 = -5 x + (2 + 6):

(-5 x + (2 + 6))/4

2 + 6 = 8:

(-5 x + 8)/4

(-5 x + 8)/4 = -(5 x)/4 + 8/4:

-(5 x)/4 + 8/4

The gcd of 8 and 4 is 4, so 8/4 = (4×2)/(4×1) = 4/4×2 = 2:

Answer: -(5 x)/4 + 2 = −5/4x+2

Explanation: