1+4(6p-9) Which of the following is equivalent to the given expression? Choose 1 answer: (A) 6p-35 (B) 24 p-35 (C) 24 p-36 (D) 6p-36

Distribute the 4: Distribute the 4 into the parentheses. 4 * 6p = 24p 4 * -9 = -36 So, 4(6p-9) becomes 24p - 36.Add the 1: Add the 1 to the expression from Step 1. 1 + (24p - 36) becomes 24p - 36 + 1.Combine the constant terms: Combine the constant terms. -36 + 1 = -35 So, the expression becomes 24p - 35.

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1+4(6p-9)
Which of the following is equivalent to the given expression?
Choose 1 answer:
(A)
6p-35
(B)
24 p-35
(C)
24 p-36
(D)
6p-36

$1+4(6 p-9)$ $\newline$ Which of the following is equivalent to the given expression? $\newline$ Choose $1$ answer: $\newline$ (A) $6 p-35$ $\newline$ (B) $24 p-35$ $\newline$ (C) $24 p-36$ $\newline$ (D) $6 p-36$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

1+4(6 p-9)

\newline

Which of the following is equivalent to the given expression?

\newline

Choose

1

answer:

\newline

(A)

6 p-35

\newline

(B)

24 p-35

\newline

(C)

24 p-36

\newline

(D)

6 p-36

Distribute the $4$ : Distribute the $4$ into the parentheses. $\newline$ $4 \times 6p = 24p$ $\newline$ $4 \times -9 = -36$ $\newline$ So, $4(6p-9)$ becomes $24p - 36$ .
Add the $1$ : Add the $1$ to the expression from Step $1$ . $\newline$ $1 + (24p - 36)$ becomes $24p - 36 + 1$ .
Combine the constant terms: Combine the constant terms. $-36 + 1 = -35$ So, the expression becomes $24p - 35$ .