Simplify to create an equivalent expression. 6(5r-11)-(5-r) Choose 1 answer: (A) 30 r-71 (B) 31 r-71 (c) 29 r-71 (D) 31 r-61

Distribute 6 to terms inside parentheses: Distribute the 6 to both terms inside the parentheses (5r-11). Calculation: 6 * 5r - 6 * 11 = 30r - 66Distribute negative sign to terms inside parentheses: Distribute the negative sign to the terms inside the parentheses (5-r). Calculation: -1 * 5 + 1 * r = -5 + rCombine results from Step 1 and Step 2: Combine the results from Step 1 and Step 2. Calculation: (30r - 66) + (-5 + r) = 30r - 66 - 5 + rCombine like terms and constant terms: Combine like terms, which are the 'r' terms and the constant terms. Calculation: 30r + r - 66 - 5 = 31r - 71

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Simplify to create an equivalent expression.

6(5r-11)-(5-r)
Choose 1 answer:
(A)
30 r-71
(B)
31 r-71
(c)
29 r-71
(D)
31 r-61

Simplify to create an equivalent expression. $\newline$ $6(5r-11)-(5-r)$ $\newline$ Choose $1$ answer: $\newline$ (A) $30r-71$ $\newline$ (B) $31r-71$ $\newline$ (C) $29r-71$ $\newline$ (D) $31r-61$

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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

6(5r-11)-(5-r)

\newline

Choose

1

answer:

\newline

(A)

30r-71

\newline

(B)

31r-71

\newline

(C)

29r-71

\newline

(D)

31r-61

Distribute $6$ to terms inside parentheses: Distribute the $6$ to both terms inside the parentheses $(5r-11)$ . $\newline$ Calculation: $6 \times 5r - 6 \times 11$ $\newline$ = $30r - 66$
Distribute negative sign to terms inside parentheses: Distribute the negative sign to the terms inside the parentheses $(5-r)$ . $\newline$ Calculation: $-1 \times 5 + 1 \times r$ $\newline$ = $-5 + r$
Combine results from Step $1$ and Step $2$ : Combine the results from Step $1$ and Step $2$ . $\newline$ Calculation: $(30r - 66) + (-5 + r)$ $\newline$ = $30r - 66 - 5 + r$
Combine like terms and constant terms: Combine like terms, which are the 'r' terms and the constant terms. $\newline$ Calculation: $30r + r - 66 - 5$ $\newline$ = $31r - 71$