Combine and simplify. 18 + z 7 z − 15 − z 7 z \frac { 18 + z } { 7 z } - \frac { 15 - z } { 7 z } 7 z 18 + z − 7 z 15 − z A) 33 − 2 z 7 z \frac { 33 - 2 z } { 7 z } 7 z 33 − 2 z B) 3 7 z \frac { 3 } { 7 z } 7 z 3 C) 3 + 2 z 7 z \frac { 3 + 2 z } { 7 z } 7 z 3 + 2 z D) 33 + 2 z 7 z \frac { 33 + 2 z } { 7 z } 7 z 33 + 2 z E) 33 7 z \frac { 33 } { 7 z } 7 z 33

Question

Combine and simplify.   18 + z 7 z − 15 − z 7 z \frac { 18 + z } { 7 z } - \frac { 15 - z } { 7 z } 7 z 18 + z ​ − 7 z 15 − z ​ A)    33 − 2 z 7 z \frac { 33 - 2 z } { 7 z } 7 z 33 − 2 z ​ B)    3 7 z \frac { 3 } { 7 z } 7 z 3 ​ C)    3 + 2 z 7 z \frac { 3 + 2 z } { 7 z } 7 z 3 + 2 z ​ D)    33 + 2 z 7 z \frac { 33 + 2 z } { 7 z } 7 z 33 + 2 z ​ E)    33 7 z \frac { 33 } { 7 z } 7 z 33 ​

Tyler Yarbro · Accepted Answer

Final Answer : C, Explanation :   Applying the distributive property and combining like terms, we get: 18 + z 7 z − 15 − z 7 z = 18 + z − 15 + z 7 z = 3 + 2 z 7 z  \frac{18+z}{7z}-\frac{15-z}{7z}  & = \frac{18+z-15+z}{7z}\ & = \frac{3+2z}{7z}  7 z 18 + z ​ − 7 z 15 − z ​ ​ = 7 z 18 + z − 15 + z ​ = 7 z 3 + 2 z ​ ​ Therefore, the best choice is C.

Combine and simplify. $18+z7z−15−z7z\frac { 18 + z } { 7 z } - \frac { 15 - z } { 7 z }$

A) $33−2z7z\frac { 33 - 2 z } { 7 z }$
B) $37z\frac { 3 } { 7 z }$
C) $3+2z7z\frac { 3 + 2 z } { 7 z }$
D) $33+2z7z\frac { 33 + 2 z } { 7 z }$
E) $337z\frac { 33 } { 7 z }$

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