Q:

Which expressions are equivalent to 7x - 14?Check all that apply.A.14 - 7xB.x - 2C.-(14 - 7x)D.7(x - 2)E.3x - 14 + 4xF.2x - 10 + 5x + 4

Accepted Solution

A:
Alright, lets get started.The given expression is [tex] 7x - 14 [/tex]Option A : [tex] 14 - 7x [/tex] not equivalent with given expression.Option B : [tex] x - 2 [/tex] not equivalent with given expression.Option C : [tex] - (14 - 7x) [/tex]We could distribute minus sign into parenthesis[tex] - 14 + 7 x [/tex]or [tex] 7 x - 14 [/tex] which is equivalent with given expression.Option D : [tex] 7 (x-2) [/tex]Distribute 7 into parenthesis[tex] 7 x - 7 * 2 [/tex][tex] 7 x - 14 [/tex] which is equivalent with given expression.Option E :[tex] 3x - 14 + 4x [/tex]Adding similar terms together[tex] 7 x - 14 [/tex] which is equivalent with given expression.Option F :[tex] 2x - 10 + 5x + 4 [/tex]Adding similar terms together[tex] 7 x - 10 + 4 [/tex][tex] 7 x - 6 [/tex] not equivalent with given expression.It means option C, D, E are equivalent to given expression. : AnswerHope it will help :)