Simplify to create an equivalent expression. 4(-15-3p)-4(-p+5) Choose 1 answer: (A) -8p-80 (B) -13 p-80 (C) -8p+80 (D) 8p-80

Distribute 4 into parentheses: First, distribute the 4 into the parentheses in the first term 4(-15-3p). Calculation: 4 * -15 = -60 and 4 * -3p = -12p. So, 4(-15-3p) simplifies to -60 - 12p.Distribute -4 into parentheses: Next, distribute the -4 into the parentheses in the second term -4(-p+5). Calculation: -4 * -p = 4p and -4 * 5 = -20. So, -4(-p+5) simplifies to 4p - 20.Combine simplified terms: Now, combine the simplified terms from the first and second steps: (-60 - 12p) + (4p - 20). Calculation: -60 - 12p + 4p - 20.Combine like terms: Combine like terms by adding the p terms and the constant terms separately. Calculation: -12p + 4p = -8p and -60 - 20 = -80. So, the expression simplifies to -8p - 80.

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Simplify to create an equivalent expression.

4(-15-3p)-4(-p+5)
Choose 1 answer:
(A)
-8p-80
(B)
-13 p-80
(C)
-8p+80
(D)
8p-80

Simplify to create an equivalent expression. $\newline$ $4(-15-3p)-4(-p+5)$ $\newline$ Choose $1$ answer: $\newline$ (A) $-8p-80$ $\newline$ (B) $-13p-80$ $\newline$ (C) $-8p+80$ $\newline$ (D) $8p-80$

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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

4(-15-3p)-4(-p+5)

\newline

Choose

1

answer:

\newline

(A)

-8p-80

\newline

(B)

-13p-80

\newline

(C)

-8p+80

\newline

(D)

8p-80

Distribute $4$ into parentheses: First, distribute the $4$ into the parentheses in the first term $4(-15-3p)$ . $\newline$ Calculation: $4 \times -15 = -60$ and $4 \times -3p = -12p$ . $\newline$ So, $4(-15-3p)$ simplifies to $-60 - 12p$ .
Distribute $-4$ into parentheses: Next, distribute the $-4$ into the parentheses in the second term $-4(-p+5)$ . $\newline$ Calculation: $-4 \times -p = 4p$ and $-4 \times 5 = -20$ . $\newline$ So, $-4(-p+5)$ simplifies to $4p - 20$ .
Combine simplified terms: Now, combine the simplified terms from the first and second steps: $(-60 - 12p) + (4p - 20)$ . Calculation: $-60 - 12p + 4p - 20$ .
Combine like terms: Combine like terms by adding the $p$ terms and the constant terms separately. $\newline$ Calculation: $-12p + 4p = -8p$ and $-60 - 20 = -80$ . $\newline$ So, the expression simplifies to $-8p - 80$ .