Simplify to create an equivalent expression. -5(3p+3)+9(-7+p) Choose 1 answer: (A) -5p-78 (B) -6p-78 (C) -6p-48 (D) -6p+78

Distribute -5 across terms: Distribute the -5 across the terms inside the first parentheses. -5 * 3p gives us -15p, and -5 * 3 gives us -15. So, -5(3p+3) becomes -15p - 15.Distribute 9 across terms: Distribute the 9 across the terms inside the second parentheses. 9 * -7 gives us -63, and 9 * p gives us 9p. So, 9(-7+p) becomes -63 + 9p.Combine distributed terms: Combine the distributed terms from Step 1 and Step 2. We have -15p - 15 and -63 + 9p. Combining these we get -15p - 15 - 63 + 9p.Combine like terms: Combine like terms. -15p and 9p combine to -6p, and -15 and -63 combine to -78. So, -15p - 15 - 63 + 9p becomes -6p - 78.

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Simplify to create an equivalent expression.

-5(3p+3)+9(-7+p)
Choose 1 answer:
(A)
-5p-78
(B)
-6p-78
(C)
-6p-48
(D)
-6p+78

Simplify to create an equivalent expression. $\newline$ $-5(3p+3)+9(-7+p)$ $\newline$ Choose $1$ answer: $\newline$ (A) $-5p-78$ $\newline$ (B) $-6p-78$ $\newline$ (C) $-6p-48$ $\newline$ (D) $-6p+78$

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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(3p+3)+9(-7+p)

\newline

Choose

1

answer:

\newline

(A)

-5p-78

\newline

(B)

-6p-78

\newline

(C)

-6p-48

\newline

(D)

-6p+78

Distribute $-5$ across terms: Distribute the $-5$ across the terms inside the first parentheses. $\newline$ $-5 \times 3p$ gives us $-15p$ , and $-5 \times 3$ gives us $-15$ . $\newline$ So, $-5(3p+3)$ becomes $-15p - 15$ .
Distribute $9$ across terms: Distribute the $9$ across the terms inside the second parentheses. $9 \times -7$ gives us $-63$ , and $9 \times p$ gives us $9p$ . So, $9(-7+p)$ becomes $-63 + 9p$ .
Combine distributed terms: Combine the distributed terms from Step $1$ and Step $2$ . $\newline$ We have $-15p - 15$ and $-63 + 9p$ . $\newline$ Combining these we get $-15p - 15 - 63 + 9p$ .
Combine like terms: Combine like terms. $\newline$ $-15p$ and $9p$ combine to $-6p$ , and $-15$ and $-63$ combine to $-78$ . $\newline$ So, $-15p - 15 - 63 + 9p$ becomes $-6p - 78$ .