Simplify to create an equivalent expression. 5(10 k+1)+2(2+8k) Choose 1 answer: (A) 66 k+9 (B) 64 k+9 (C) 66 k+54 (D) 64 k-9

Distribute 5: First, distribute the 5 into the terms inside the first set of parentheses: 5 * 10k + 5 * 1. This gives us 50k + 5.Distribute 2: Next, distribute the 2 into the terms inside the second set of parentheses: 2 * 2 + 2 * 8k. This gives us 4 + 16k.Combine like terms: Now, combine like terms from both distributed results: (50k + 16k) + (5 + 4). This gives us 66k + 9.Simplified expression: The simplified expression is 66k + 9, which corresponds to option (A).

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Simplify to create an equivalent expression.

5(10 k+1)+2(2+8k)
Choose 1 answer:
(A)
66 k+9
(B)
64 k+9
(C)
66 k+54
(D)
64 k-9

Simplify to create an equivalent expression. $\newline$ $5(10k+1)+2(2+8k)$ $\newline$ Choose $1$ answer: $\newline$ (A) $66k+9$ $\newline$ (B) $64k+9$ $\newline$ (C) $66k+54$ $\newline$ (D) $64k-9$

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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(10k+1)+2(2+8k)

\newline

Choose

1

answer:

\newline

(A)

66k+9

\newline

(B)

64k+9

\newline

(C)

66k+54

\newline

(D)

64k-9

Distribute $5$ : First, distribute the $5$ into the terms inside the first set of parentheses: $5 \times 10k + 5 \times 1$ . This gives us $50k + 5$ .
Distribute $2$ : Next, distribute the $2$ into the terms inside the second set of parentheses: $2 \times 2 + 2 \times 8k$ . This gives us $4 + 16k$ .
Combine like terms: Now, combine like terms from both distributed results: $50k + 16k$ + $5 + 4$ . This gives us $66k + 9$ .
Simplified expression: The simplified expression is $66k + 9$ , which corresponds to option $(A)$ .