Simplify to create an equivalent expression. 2(-2-4p)+2(-2p-1) Choose 1 answer: (A) -12 p-6 (B) -10 p-6 (C) -12 p+6 (D) 12 p-6

Distribute the 2 into first set: Distribute the 2 into each term inside the first set of parentheses. 2 * (-2) + 2 * (-4p) Calculation: -4 - 8pDistribute the 2 into second set: Distribute the 2 into each term inside the second set of parentheses. 2 * (-2p) + 2 * (-1) Calculation: -4p - 2Combine results from Step 1 and Step 2: Combine the results from Step 1 and Step 2. -4 - 8p + (-4p - 2) Calculation: -4 - 8p - 4p - 2Combine like terms: Combine like terms. Group the like terms -8p and -4p and constants -4 and -2. Expression: (-8p - 4p) + (-4 - 2) Calculation: -12p - 6

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Simplify to create an equivalent expression.

2(-2-4p)+2(-2p-1)
Choose 1 answer:
(A)
-12 p-6
(B)
-10 p-6
(C)
-12 p+6
(D)
12 p-6

Simplify to create an equivalent expression. $\newline$ $2(-2-4p)+2(-2p-1)$ $\newline$ Choose $1$ answer: $\newline$ (A) $-12p-6$ $\newline$ (B) $-10p-6$ $\newline$ (C) $-12p+6$ $\newline$ (D) $12p-6$

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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

2(-2-4p)+2(-2p-1)

\newline

Choose

1

answer:

\newline

(A)

-12p-6

\newline

(B)

-10p-6

\newline

(C)

-12p+6

\newline

(D)

12p-6

Distribute the $2$ into first set: Distribute the $2$ into each term inside the first set of parentheses. $2 \times (-2) + 2 \times (-4p)$ Calculation: $-4 - 8p$
Distribute the $2$ into second set: Distribute the $2$ into each term inside the second set of parentheses. $2 \times (-2p) + 2 \times (-1)$ Calculation: $-4p - 2$
Combine results from Step $1$ and Step $2$ : Combine the results from Step $1$ and Step $2$ . $\newline$ $-4 - 8p + (-4p - 2)$ $\newline$ Calculation: $-4 - 8p - 4p - 2$
Combine like terms: Combine like terms. $\newline$ Group the like terms $-8p$ and $-4p$ and constants $-4$ and $-2$ . $\newline$ Expression: $(-8p - 4p) + (-4 - 2)$ $\newline$ Calculation: $-12p - 6$