Evaluate the algebraic expression for the given values of the variables. $x + 4 y + 3 z$ for $x = \frac { 3 } { 4 } , y = \frac { 1 } { 9 } , \text { and } z = - \frac { 1 } { 6 }$
A) $\frac { 1 } { 25 }$
B) $\frac { 25 } { 36 }$
C) $\frac { 3 } { 4 }$
D) $\frac { 13 } { 18 }$
E) $\frac { 7 } { 9 }$

Question

Quizplus · Accepted Answer

Substitute the values into the expression: $x + 4y + 3z = \frac{3}{4} + 4 \times \frac{1}{9} + 3 \times -\frac{1}{6}$. Simplifying gives $\frac{3}{4} + \frac{4}{9} - \frac{1}{2} = \frac{25}{36}$.

Evaluate the Algebraic Expression for the Given Values of the Variables