Simplify to create an equivalent expression. 5+7(8r-2) Choose 1 answer: (A) 56 r+3 (B) 56 r+9 (c) 8r-9 (D) 56 r-9

Distribute 7 to terms inside parentheses: Distribute the 7 to both terms inside the parentheses. We need to multiply 7 by each term inside the parentheses (8r and -2). Calculation: 7 * 8r = 56r and 7 * -2 = -14 So, the expression becomes 5 + 56r - 14.Combine constant terms: Combine the constant terms in the expression. We have two constant terms, 5 and -14, which need to be added together. Calculation: 5 - 14 = -9 So, the expression simplifies to 56r - 9.Identify correct answer: Identify the correct answer from the given options. The simplified expression is 56r - 9, which matches option (D).

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Simplify to create an equivalent expression.

5+7(8r-2)
Choose 1 answer:
(A)
56 r+3
(B)
56 r+9
(c)
8r-9
(D)
56 r-9

Simplify to create an equivalent expression. $\newline$ $5+7(8r-2)$ $\newline$ Choose $1$ answer: $\newline$ (A) $56r+3$ $\newline$ (B) $56r+9$ $\newline$ (C) $8r-9$ $\newline$ (D) $56r-9$

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Math Problems

Algebra 1

Simplify variable expressions involving like terms and the distributive property

Full solution

Q. Simplify to create an equivalent expression.

\newline

5+7(8r-2)

\newline

Choose

1

answer:

\newline

(A)

56r+3

\newline

(B)

56r+9

\newline

(C)

8r-9

\newline

(D)

56r-9

Distribute $7$ to terms inside parentheses: Distribute the $7$ to both terms inside the parentheses. $\newline$ We need to multiply $7$ by each term inside the parentheses ( $8r$ and $-2$ ). $\newline$ Calculation: $7 \times 8r = 56r$ and $7 \times -2 = -14$ $\newline$ So, the expression becomes $5 + 56r - 14$ .
Combine constant terms: Combine the constant terms in the expression. $\newline$ We have two constant terms, $5$ and $-14$ , which need to be added together. $\newline$ Calculation: $5 - 14 = -9$ $\newline$ So, the expression simplifies to $56r - 9$ .
Identify correct answer: Identify the correct answer from the given options. $\newline$ The simplified expression is $56r - 9$ , which matches option (D).