Which value of v makes 12=12+(v-8)/(2) a true statement? Choose 1 answer: (A) v=8 (B) v=10 (c) v=12 (D) v=14

Understand and isolate variable term: Understand the equation and isolate the variable term. The equation is 12 = 12 + (v - 8) / 2. To solve for v, we need to isolate the term containing v on one side of the equation.Subtract to eliminate constant term: Subtract 12 from both sides of the equation to eliminate the constant term on the right side. 12 - 12 = 12 + (v - 8) / 2 - 12 This simplifies to: 0 = (v - 8) / 2Multiply to eliminate denominator: Multiply both sides of the equation by 2 to eliminate the denominator and isolate v. 0 * 2 = ((v - 8) / 2) * 2 This simplifies to: 0 = v - 8Add to solve for v: Add 8 to both sides of the equation to solve for v. 0 + 8 = v - 8 + 8 This simplifies to: v = 8

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Which value of
v makes
12=12+(v-8)/(2) a true statement?
Choose 1 answer:
(A)
v=8
(B)
v=10
(c)
v=12
(D)
v=14

Which value of $v$ makes $12=12+\frac{v-8}{2}$ a true statement? $\newline$ Choose $1$ answer: $\newline$ (A) $v=8$ $\newline$ (B) $v=10$ $\newline$ (C) $v=12$ $\newline$ (D) $v=14$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

Q. Which value of

v

makes

12=12+\frac{v-8}{2}

a true statement?

\newline

Choose

1

answer:

\newline

(A)

v=8

\newline

(B)

v=10

\newline

(C)

v=12

\newline

(D)

v=14

Understand and isolate variable term: Understand the equation and isolate the variable term. The equation is $12 = 12 + \frac{(v - 8)}{2}$ . To solve for $v$ , we need to isolate the term containing $v$ on one side of the equation.
Subtract to eliminate constant term: Subtract $12$ from both sides of the equation to eliminate the constant term on the right side. $\newline$ $12 - 12 = 12 + \frac{v - 8}{2} - 12$ $\newline$ This simplifies to: $\newline$ $0 = \frac{v - 8}{2}$
Multiply to eliminate denominator: Multiply both sides of the equation by $2$ to eliminate the denominator and isolate $v$ . $\newline$ $0 \times 2 = \frac{(v - 8)}{2} \times 2$ $\newline$ This simplifies to: $\newline$ $0 = v - 8$
Add to solve for v: Add $8$ to both sides of the equation to solve for $v$ . $\newline$ $0 + 8 = v - 8 + 8$ $\newline$ This simplifies to: $\newline$ $v = 8$