5+7(8r-2) Which of the following is equivalent to the given expression? Choose 1 answer: (A) 56 r+3 (B) 56 r+9 (C) 8r-9 (D) 56 r-9

Distribute the 7: Distribute the 7 to both terms inside the parentheses. 7 * 8r = 56r 7 * (-2) = -14Combine distributed terms: Combine the distributed terms with the constant outside the parentheses. 5 + 56r - 14Combine the constants: Combine the constants 5 and -14. 5 - 14 = -9Write the final expression: Write the final expression with the combined constant and the variable term. 56r - 9

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5+7(8r-2)
Which of the following is equivalent to the given expression?
Choose 1 answer:
(A)
56 r+3
(B)
56 r+9
(C)
8r-9
(D)
56 r-9

$5+7(8 r-2)$ $\newline$ Which of the following is equivalent to the given expression? $\newline$ Choose $1$ answer: $\newline$ (A) $56 r+3$ $\newline$ (B) $56 r+9$ $\newline$ (C) $8 r-9$ $\newline$ (D) $56 r-9$

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Math Problems

Grade 7

Identify equivalent linear expressions I

Full solution

5+7(8 r-2)

\newline

Which of the following is equivalent to the given expression?

\newline

Choose

1

answer:

\newline

(A)

56 r+3

\newline

(B)

56 r+9

\newline

(C)

8 r-9

\newline

(D)

56 r-9

Distribute the $7$ : Distribute the $7$ to both terms inside the parentheses. $\newline$ $7 \times 8r = 56r$ $\newline$ $7 \times (-2) = -14$
Combine distributed terms: Combine the distributed terms with the constant outside the parentheses. $5 + 56r - 14$
Combine the constants: Combine the constants $5$ and $-14$ . $\newline$ $5 - 14 = -9$
Write the final expression: Write the final expression with the combined constant and the variable term. $56r - 9$