Simplify to create an equivalent expression. 1+4(6p-9) Choose 1 answer: (A) 6p-35 (B) 24 p-35 (C) 24 p-36 (D) 6p-36

Identify terms for distribution: Identify the terms that need to be distributed and simplified. We have the expression 1 + 4(6p - 9), where the 4 needs to be distributed to both 6p and -9.Distribute 4 to terms inside parentheses: Distribute the 4 to both terms inside the parentheses. 4 * 6p = 24p 4 * -9 = -36 So, the expression becomes 1 + 24p - 36.Combine constant terms: Combine the constant terms in the expression. We have 1 and -36 as constant terms. 1 - 36 = -35 So, the expression now is 24p - 35.

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Simplify to create an equivalent expression.

1+4(6p-9)
Choose 1 answer:
(A)
6p-35
(B)
24 p-35
(C)
24 p-36
(D)
6p-36

Simplify to create an equivalent expression. $\newline$ $1+4(6p-9)$ $\newline$ Choose $1$ answer: $\newline$ (A) $6p-35$ $\newline$ (B) $24p-35$ $\newline$ (C) $24p-36$ $\newline$ (D) $6p-36$

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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

1+4(6p-9)

\newline

Choose

1

answer:

\newline

(A)

6p-35

\newline

(B)

24p-35

\newline

(C)

24p-36

\newline

(D)

6p-36

Identify terms for distribution: Identify the terms that need to be distributed and simplified. $\newline$ We have the expression $1 + 4(6p - 9)$ , where the $4$ needs to be distributed to both $6p$ and $-9$ .
Distribute $4$ to terms inside parentheses: Distribute the $4$ to both terms inside the parentheses. $4 \times 6p = 24p$ $4 \times (-9) = -36$ So, the expression becomes $1 + 24p - 36$ .
Combine constant terms: Combine the constant terms in the expression. $\newline$ We have $1$ and $-36$ as constant terms. $\newline$ $1 - 36 = -35$ $\newline$ So, the expression now is $24p - 35$ .