Simplify to create an equivalent expression. 8(10-6q)+3(-7q-2) Choose 1 answer: (A) -69 q+78 (B) -55 q+74 (C) -69 q+74 (D) 69 q+74

Distribute the 8: Distribute the 8 into the parentheses (10 - 6q). 8 * 10 - 8 * 6q = 80 - 48qDistribute the 3: Distribute the 3 into the parentheses (-7q - 2). 3 * -7q + 3 * -2 = -21q - 6Combine Step 1 and Step 2: Combine the results from Step 1 and Step 2. 80 - 48q - 21q - 6Combine like terms: Combine like terms (-48q and -21q). 80 - 48q - 21q - 6 = 80 - (48q + 21q) - 6 = 80 - 69q - 6Combine the constants: Combine the constants (80 and -6). 80 - 69q - 6 = (80 - 6) - 69q = 74 - 69q

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Simplify to create an equivalent expression.

8(10-6q)+3(-7q-2)
Choose 1 answer:
(A)
-69 q+78
(B)
-55 q+74
(C)
-69 q+74
(D)
69 q+74

Simplify to create an equivalent expression. $\newline$ $8(10-6q)+3(-7q-2)$ $\newline$ Choose $1$ answer: $\newline$ (A) $-69 q+78$ $\newline$ (B) $-55 q+74$ $\newline$ (C) $-69 q+74$ $\newline$ (D) $69 q+74$

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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

8(10-6q)+3(-7q-2)

\newline

Choose

1

answer:

\newline

(A)

-69 q+78

\newline

(B)

-55 q+74

\newline

(C)

-69 q+74

\newline

(D)

69 q+74

Distribute the $8$ : Distribute the $8$ into the parentheses $10 - 6q$ . $8 \times 10 - 8 \times 6q$ $= 80 - 48q$
Distribute the $3$ : Distribute the $3$ into the parentheses $(-7q - 2)$ .
$3 \times -7q + 3 \times -2$
= $-21q - 6$
Combine Step $1$ and Step $2$ : Combine the results from Step $1$ and Step $2$ . $80 - 48q - 21q - 6$
Combine like terms: Combine like terms $-48q$ and $-21q$ . $\newline$ $80 - 48q - 21q - 6$ $\newline$ $= 80 - (48q + 21q) - 6$ $\newline$ $= 80 - 69q - 6$
Combine the constants: Combine the constants $80$ and $-6$ . $\newline$ $80 - 69q - 6$ $\newline$ $= (80 - 6) - 69q$ $\newline$ $= 74 - 69q$