Simplify to create an equivalent expression. 10+4(-8q-4) Choose 1 answer: (A) -22 q-6 (B) -32 q+6 (C) -32 q-6 (D) 32 q-6

Distribute the 4: Distribute the 4 across the terms inside the parentheses. We need to multiply 4 by each term inside the parentheses (-8q and -4). Calculation: 4 * (-8q) + 4 * (-4) = -32q - 16Combine constant terms: Combine the constant terms. Now we add the constant term outside the parentheses (10) to the constant term we just calculated (-16). Calculation: 10 - 16 = -6Write simplified expression: Write the simplified expression. Combine the result from Step 1 and Step 2 to get the final simplified expression. Expression: -32q - 6

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Simplify to create an equivalent expression.

10+4(-8q-4)
Choose 1 answer:
(A)
-22 q-6
(B)
-32 q+6
(C)
-32 q-6
(D)
32 q-6

Simplify to create an equivalent expression. $\newline$ $10+4(-8q-4)$ $\newline$ Choose $1$ answer: $\newline$ (A) $-22q-6$ $\newline$ (B) $-32q+6$ $\newline$ (C) $-32q-6$ $\newline$ (D) $32q-6$

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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

10+4(-8q-4)

\newline

Choose

1

answer:

\newline

(A)

-22q-6

\newline

(B)

-32q+6

\newline

(C)

-32q-6

\newline

(D)

32q-6

Distribute the $4$ : Distribute the $4$ across the terms inside the parentheses. $\newline$ We need to multiply $4$ by each term inside the parentheses ( $-8q$ and $-4$ ). $\newline$ Calculation: $4 \times (-8q) + 4 \times (-4)$ $\newline$ = $-32q - 16$
Combine constant terms: Combine the constant terms. $\newline$ Now we add the constant term outside the parentheses ( $10$ ) to the constant term we just calculated ( $-16$ ). $\newline$ Calculation: $10 - 16$ $\newline$ $= -6$
Write simplified expression: Write the simplified expression. $\newline$ Combine the result from Step $1$ and Step $2$ to get the final simplified expression. $\newline$ Expression: $-32q - 6$