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 Multiplication: First, we need to distribute the multiplication over addition in both expressions. For the first expression, we multiply 5 by both 10k and 1. For the second expression, we multiply 2 by both 2 and 8k.Distribute 5 over (10k + 1): Distribute 5 over (10k + 1): 5 * 10k + 5 * 1 = 50k + 5Distribute 2 over (2 + 8k): Distribute 2 over (2 + 8k): 2 * 2 + 2 * 8k = 4 + 16kAdd Distributed Results: Now, we add the results of the distributions together: (50k + 5) + (4 + 16k)Combine Like Terms: Combine like terms (50k and 16k) and (5 and 4): 50k + 16k + 5 + 4 = 66k + 9

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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

Domain and range of relations

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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 Multiplication: First, we need to distribute the multiplication over addition in both expressions. For the first expression, we multiply $5$ by both $10k$ and $1$ . For the second expression, we multiply $2$ by both $2$ and $8k$ .
Distribute $5$ over $(10k + 1)$ : Distribute $5$ over $(10k + 1)$ : $5 \times 10k + 5 \times 1 = 50k + 5$
Distribute $2$ over $(2 + 8k)$ : Distribute $2$ over $(2 + 8k)$ : $2 \times 2 + 2 \times 8k = 4 + 16k$
Add Distributed Results: Now, we add the results of the distributions together: $50k + 5$ + $4 + 16k$
Combine Like Terms: Combine like terms $50k$ and $16k$ and $5$ and $4$ : $50k + 16k + 5 + 4 = 66k + 9$