Simplify to create an equivalent expression. 2(3r+7)-(2+r) Choose 1 answer: (A) 4r+12 (B) 5r+13 (C) 5r+12 (D) 5r-12

Distribute 2 into the terms: First, distribute the 2 into the terms inside the parentheses (3r+7). Calculation: 2 * 3r + 2 * 7Perform the multiplication: Now, perform the multiplication. Calculation: 6r + 14Distribute the negative sign: Next, distribute the negative sign into the terms inside the parentheses (2+r). Calculation: -2 - rCombine distributed terms: Combine the distributed terms with the previous result. Calculation: 6r + 14 - 2 - rGroup like terms and combine: Group like terms and combine them. Calculation: (6r - r) + (14 - 2)Perform subtraction for like terms: Perform the subtraction for the like terms. Calculation: 5r + 12

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Simplify to create an equivalent expression.

2(3r+7)-(2+r)
Choose 1 answer:
(A)
4r+12
(B)
5r+13
(C)
5r+12
(D)
5r-12

Simplify to create an equivalent expression. $\newline$ $2(3r+7)-(2+r)$ $\newline$ Choose $1$ answer: $\newline$ (A) $4r+12$ $\newline$ (B) $5r+13$ $\newline$ (C) $5r+12$ $\newline$ (D) $5r-12$

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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(3r+7)-(2+r)

\newline

Choose

1

answer:

\newline

(A)

4r+12

\newline

(B)

5r+13

\newline

(C)

5r+12

\newline

(D)

5r-12

Distribute $2$ into the terms: First, distribute the $2$ into the terms inside the parentheses $(3r+7)$ . $\newline$ Calculation: $2 \times 3r + 2 \times 7$
Perform the multiplication: Now, perform the multiplication. $\newline$ Calculation: $6r + 14$
Distribute the negative sign: Next, distribute the negative sign into the terms inside the parentheses $2+r$ . $\newline$ Calculation: $-2 - r$
Combine distributed terms: Combine the distributed terms with the previous result. $\newline$ Calculation: $6r + 14 - 2 - r$
Group like terms and combine: Group like terms and combine them. $\newline$ Calculation: $(6r - r) + (14 - 2)$
Perform subtraction for like terms: Perform the subtraction for the like terms. $\newline$ Calculation: $5r + 12$