Google Classroom Which expressions are equivalent to z+(z+6) ? Choose all answers that apply: A (z+z)+(z+6) B (z+6)+6 C 2(z+3)

Simplify Expression: First, let's simplify the original expression z+(z+6) by combining like terms. z + (z + 6) = z + z + 6 = 2z + 6Evaluate Answer Choices: Now let's evaluate each answer choice to see if it is equivalent to 2z + 6. Choice A: (z+z)+(z+6) We can simplify this by combining like terms. (z + z) + (z + 6) = 2z + (z + 6) = 2z + z + 6 = 3z + 6 This is not equivalent to 2z + 6 because 3z + 6 has a different coefficient for z.Choice A Evaluation: Choice B: (z+6)+6 We can simplify this by combining like terms. (z + 6) + 6 = z + 12 This is not equivalent to 2z + 6 because z + 12 does not have the term 2z.Choice B Evaluation: Choice C: 2(z+3) We can simplify this by distributing the 2. 2(z + 3) = 2z + 2*3 = 2z + 6 This is equivalent to 2z + 6.

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Which expressions are equivalent to $z+(z+6)$ ? $\newline$ Choose all answers that apply: $\newline$ A) $(z+z)+(z+6)$ $\newline$ B) $(z+6)+6$ $\newline$ C) $2(z+3)$

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Math Problems

Grade 8

Solve a system of equations using any method

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Q. Which expressions are equivalent to

z+(z+6)

\newline

Choose all answers that apply:

\newline

(z+z)+(z+6)

\newline

(z+6)+6

\newline

2(z+3)

Simplify Expression: First, let's simplify the original expression $z+(z+6)$ by combining like terms. $z + (z + 6) = z + z + 6 = 2z + 6$
Evaluate Answer Choices: Now let's evaluate each answer choice to see if it is equivalent to $2z + 6$ . $\newline$ Choice A: $(z+z)+(z+6)$ $\newline$ We can simplify this by combining like terms. $\newline$ $(z + z) + (z + 6) = 2z + (z + 6) = 2z + z + 6 = 3z + 6$ $\newline$ This is not equivalent to $2z + 6$ because $3z + 6$ has a different coefficient for $z$ .
Choice A Evaluation: Choice B: $z+6)+6(\newline$ We can simplify this by combining like terms. $\newline$ \$(z + 6) + 6 = z + 12\)$\newline$This is not equivalent to $2z + 6$ because $z + 12$ does not have the term $2z$.
Choice B Evaluation: Choice C: $2(z+3)$$\newline$We can simplify this by distributing the $2$.$\newline$$2(z + 3) = 2z + 2\times3 = 2z + 6$$\newline$This is equivalent to $2z + 6$.