2(3r+7)-(2+r) Which of the following is equivalent to the given expression? Choose 1 answer: (A) 4r+12 (B) 5r+13 (C) 5r+12 (D) 5r-12

Distribute 2: Distribute the 2 into the terms inside the first parentheses. 2 * 3r + 2 * 7 - (2 + r) = 6r + 14 - (2 + r)Distribute negative sign: Distribute the negative sign into the terms inside the second parentheses. 6r + 14 - 2 - r = 6r + 14 - 2 - rCombine like terms: Combine like terms. (6r - r) + (14 - 2) = 5r + 12Check answer choices: Check the answer choices to see which one matches the simplified expression. The correct answer is (C) 5r + 12.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

2(3r+7)-(2+r)
Which of the following is equivalent to the given expression?
Choose 1 answer:
(A)
4r+12
(B)
5r+13
(C)
5r+12
(D)
5r-12

$2(3 r+7)-(2+r)$ $\newline$ Which of the following is equivalent to the given expression? $\newline$ Choose $1$ answer: $\newline$ (A) $4 r+12$ $\newline$ (B) $5 r+13$ $\newline$ (C) $5 r+12$ $\newline$ (D) $5 r-12$

View step-by-step help

Home

Math Problems

Grade 7

Identify equivalent linear expressions I

Full solution

2(3 r+7)-(2+r)

\newline

Which of the following is equivalent to the given expression?

\newline

Choose

1

answer:

\newline

(A)

4 r+12

\newline

(B)

5 r+13

\newline

(C)

5 r+12

\newline

(D)

5 r-12

Distribute $2$ : Distribute the $2$ into the terms inside the first parentheses. $2 \times 3r + 2 \times 7 - (2 + r) = 6r + 14 - (2 + r)$
Distribute negative sign: Distribute the negative sign into the terms inside the second parentheses. $\newline$ $6r + 14 - 2 - r$ $\newline$ = $6r + 14 - 2 - r$
Combine like terms: Combine like terms. $\newline$ $(6r - r) + (14 - 2) = 5r + 12$
Check answer choices: Check the answer choices to see which one matches the simplified expression. $\newline$ The correct answer is (C) $5r + 12$ .