2-4(5p+1) Which of the following is equivalent to the given expression? Choose 1 answer: (A) -20 p-2 (B) -5p-4 (C) -20 p+2 (D) -5p+4

Distribute -4 across terms: Distribute the -4 across the terms inside the parentheses. -4 * 5p = -20p -4 * 1 = -4Combine distributed terms with constant: Combine the distributed terms with the constant outside the parentheses. 2 - 20p - 4Combine like terms: Combine the like terms, which are the constants 2 and -4. 2 - 4 = -2Write final expression: Write the final expression with the combined like terms. -20p - 2

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2-4(5p+1)
Which of the following is equivalent to the given expression?
Choose 1 answer:
(A)
-20 p-2
(B)
-5p-4
(C)
-20 p+2
(D)
-5p+4

$2-4(5 p+1)$ $\newline$ Which of the following is equivalent to the given expression? $\newline$ Choose $1$ answer: $\newline$ (A) $-20 p-2$ $\newline$ (B) $-5 p-4$ $\newline$ (C) $-20 p+2$ $\newline$ (D) $-5 p+4$

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Math Problems

Grade 7

Identify equivalent linear expressions I

Full solution

2-4(5 p+1)

\newline

Which of the following is equivalent to the given expression?

\newline

Choose

1

answer:

\newline

(A)

-20 p-2

\newline

(B)

-5 p-4

\newline

(C)

-20 p+2

\newline

(D)

-5 p+4

Distribute $-4$ across terms: Distribute the $-4$ across the terms inside the parentheses. $-4 \times 5p = -20p$ $-4 \times 1 = -4$
Combine distributed terms with constant: Combine the distributed terms with the constant outside the parentheses. $2 - 20p - 4$
Combine like terms: Combine the like terms, which are the constants $2$ and $-4$ . $\newline$ $2 - 4 = -2$
Write final expression: Write the final expression with the combined like terms. $-20p - 2$