Which expression is equivalent to 7(7v)? Choices: (A)v + 49 (B)7v + 7 (C)v + 14 (D)49v

Calculate product of 7: Calculate the product of 7 and 7. 7 * 7 = 49Apply distributive property: Apply the distributive property to the expression 7(7v). 7(7v) = (7 * 7)vSubstitute result into expression: Substitute the result from Step 1 into the expression. (7 * 7)v = 49vChoose equivalent expression: Choose the equivalent expression for 7(7v) from the given choices. The equivalent expression is 49v, which corresponds to choice (D).

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Which expression is equivalent to $7(7v)$ ? $\newline$ Choices: $\newline$ (A) $v + 49$ $\newline$ (B) $7v + 7$ $\newline$ (C) $v + 14$ $\newline$ (D) $49v$

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Math Problems

Grade 7

Identify equivalent linear expressions I

Full solution

Q. Which expression is equivalent to

7(7v)

\newline

Choices:

\newline

(A)

v + 49

\newline

(B)

7v + 7

\newline

(C)

v + 14

\newline

(D)

49v

Calculate product of $7$ : Calculate the product of $7$ and $7$ . $7 \times 7 = 49$
Apply distributive property: Apply the distributive property to the expression $7(7v)$ . $7(7v) = (7 \times 7)v$
Substitute result into expression: Substitute the result from Step $1$ into the expression. $\newline$ $(7 \times 7)v = 49v$
Choose equivalent expression: Choose the equivalent expression for $7(7v)$ from the given choices. $\newline$ The equivalent expression is $49v$ , which corresponds to choice (D).