Simplify to create an equivalent expression. 2-6(-5t+1) Choose 1 answer: (A) -30 t-4 (B) 30 t+3 (c) 30 t-4 (D) -5t-4

Distribute -6 to terms: Distribute the -6 to both terms inside the parentheses. We need to apply the distributive property a(b + c) = ab + ac to the expression -6(-5t + 1). Calculation: -6 * -5t + -6 * 1 = 30t - 6Combine with constant term: Combine the result with the constant term outside the parentheses. Now we add the constant term 2 to the expression we found in Step 1. Calculation: 30t - 6 + 2 = 30t - 4

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Simplify to create an equivalent expression.

2-6(-5t+1)
Choose 1 answer:
(A)
-30 t-4
(B)
30 t+3
(c)
30 t-4
(D)
-5t-4

Simplify to create an equivalent expression. $\newline$ $2-6(-5t+1)$ $\newline$ Choose $1$ answer: $\newline$ (A) $-30t-4$ $\newline$ (B) $30t+3$ $\newline$ (C) $30t-4$ $\newline$ (D) $-5t-4$

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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

2-6(-5t+1)

\newline

Choose

1

answer:

\newline

(A)

-30t-4

\newline

(B)

30t+3

\newline

(C)

30t-4

\newline

(D)

-5t-4

Distribute $-6$ to terms: Distribute the $-6$ to both terms inside the parentheses. $\newline$ We need to apply the distributive property $a(b + c) = ab + ac$ to the expression $-6(-5t + 1)$ . $\newline$ Calculation: $-6 \cdot -5t + -6 \cdot 1$ $\newline$ = $30t - 6$
Combine with constant term: Combine the result with the constant term outside the parentheses. $\newline$ Now we add the constant term $2$ to the expression we found in Step $1$ . $\newline$ Calculation: $30t - 6 + 2$ $\newline$ = $30t - 4$