If (P+R)/(2)=8, which of the following correctly expresses R in terms of P ? Choose 1 answer: (A) R=16+P (B) R=16-P (C) R=8-(P)/(2) (D) R=4-P

Eliminate Denominator: Multiply both sides of the equation by 2 to eliminate the denominator. The equation is (P+R)/2 = 8. To remove the division by 2, we multiply both sides by 2. (P+R)/2 * 2 = 8 * 2 This simplifies to P + R = 16.Isolate Variable: Isolate R on one side of the equation to express R in terms of P. We have P + R = 16. To solve for R, we need to subtract P from both sides of the equation. P + R - P = 16 - P This simplifies to R = 16 - P.Verify Solution: Verify that the solution matches one of the given answer choices. Comparing R = 16 - P with the answer choices, we find that it matches choice (B) R = 16 - P.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

If $\frac{P+R}{2}=8$ , which of the following correctly expresses $R$ in terms of $P$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $R=16+P$ $\newline$ (B) $R=16-P$ $\newline$ (C) $R=8-\frac{P}{2}$ $\newline$ (D) $R=4-P$

View step-by-step help

Home

Math Problems

Grade 7

Solve two-step equations: word problems

Full solution

Q. If

\frac{P+R}{2}=8

, which of the following correctly expresses

R

in terms of

P

\newline

Choose

1

answer:

\newline

(A)

R=16+P

\newline

(B)

R=16-P

\newline

(C)

R=8-\frac{P}{2}

\newline

(D)

R=4-P

Eliminate Denominator: Multiply both sides of the equation by $2$ to eliminate the denominator. $\newline$ The equation is $(P+R)/2 = 8$ . To remove the division by $2$ , we multiply both sides by $2$ . $\newline$ $(P+R)/2 \times 2 = 8 \times 2$ $\newline$ This simplifies to $P + R = 16$ .
Isolate Variable: Isolate $R$ on one side of the equation to express $R$ in terms of $P$ . We have $P + R = 16$ . To solve for $R$ , we need to subtract $P$ from both sides of the equation. $P + R - P = 16 - P$ This simplifies to $R = 16 - P$ .
Verify Solution: Verify that the solution matches one of the given answer choices. $\newline$ Comparing $R = 16 - P$ with the answer choices, we find that it matches choice (B) $R = 16 - P$ .