Simplify to create an equivalent expression. 8k-5(-5k+3) Choose 1 answer: (A) 33 k+15 (B) 33 k-15 (c) 3k+3 (D) 3k-3

Distribute -5 across terms: Distribute the -5 across the terms inside the parentheses. 8k - 5(-5k) - 5(3)Multiply -5 by each term: Multiply -5 by each term inside the parentheses. 8k - (-25k) - 15Simplify expression by combining like terms: Simplify the expression by combining like terms. 8k + 25k - 15Add coefficients of like terms: Add the coefficients of the like terms 8k and 25k. 33k - 15

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Simplify to create an equivalent expression.

8k-5(-5k+3)
Choose 1 answer:
(A)
33 k+15
(B)
33 k-15
(c)
3k+3
(D)
3k-3

Simplify to create an equivalent expression. $\newline$ $8k-5(-5k+3)$ $\newline$ Choose $1$ answer: $\newline$ (A) $33k+15$ $\newline$ (B) $33k-15$ $\newline$ (C) $3k+3$ $\newline$ (D) $3k-3$

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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

8k-5(-5k+3)

\newline

Choose

1

answer:

\newline

(A)

33k+15

\newline

(B)

33k-15

\newline

(C)

3k+3

\newline

(D)

3k-3

Distribute $-5$ across terms: Distribute the $-5$ across the terms inside the parentheses. $\newline$ $8k - 5(-5k) - 5(3)$
Multiply $-5$ by each term: Multiply $-5$ by each term inside the parentheses. $8k - (-25k) - 15$
Simplify expression by combining like terms: Simplify the expression by combining like terms. $8k + 25k - 15$
Add coefficients of like terms: Add the coefficients of the like terms $8k$ and $25k$ . $\newline$ $33k - 15$