Which value of $w$ makes $14=11+\frac{w}{8} \cdot 6$ a true statement? $\newline$ Choose $1$ answer: $\newline$ (A) $w=1$ $\newline$ (B) $w=4$ $\newline$ (C) $w=16$ $\newline$ (D) $w=24$

Full solution

Q. Which value of

w

makes

14=11+\frac{w}{8} \cdot 6

a true statement?

\newline

Choose

1

answer:

\newline

(A)

w=1

\newline

(B)

w=4

\newline

(C)

w=16

\newline

(D)

w=24

Understand and isolate variable term: Understand the equation and isolate the variable term. We need to find the value of $w$ that satisfies the equation $14 = 11 + (\frac{w}{8}) \times 6$ . To do this, we first isolate the term containing $w$ on one side of the equation by subtracting $11$ from both sides. $14 - 11 = 11 - 11 + (\frac{w}{8}) \times 6$ $3 = (\frac{w}{8}) \times 6$
Simplify equation to solve for $w$ : Simplify the equation to solve for $w$ . Now we need to get $w$ by itself. To do this, we divide both sides of the equation by $6$ . $\frac{3}{6} = \frac{\left(\frac{w}{8} \times 6\right)}{6}$ $0.5 = \frac{w}{8}$
Multiply both sides to solve for $w$ : Multiply both sides by $8$ to solve for $w$ . To find the value of $w$ , we multiply both sides of the equation by $8$ . $0.5 \times 8 = \left(\frac{w}{8}\right) \times 8$ $4 = w$