Which expression is equivalent to 9y + y? Choices: (A)9y (B)10y (C)y + 10 (D)y^10

Combine like terms: Combine like terms. 9y and y are like terms because they both have the variable y. To combine them, add their coefficients. 9y + y = (9 + 1)y = 10yMatch with choices: Match the result with the given choices. The result from Step 1 is 10y. Now, we look at the choices to find the equivalent expression. (A) 9y (This is not correct because it does not include the additional y.) (B) 10y (This matches our result.) (C) y + 10 (This is not correct because the 10 is not a coefficient of y.) (D) y^10 (This is not correct because it represents y raised to the power of 10, not y multiplied by 10.)

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Math Problems

Grade 8

Identify equivalent expressions involving exponents I

Full solution

Q. Which expression is equivalent to

9y + y

\newline

Choices:

\newline

(A)

9y

\newline

(B)

10y

\newline

(C)

y + 10

\newline

(D)

y^{10}

Combine like terms: Combine like terms. $\newline$ $9y$ and $y$ are like terms because they both have the variable $y$ . $\newline$ To combine them, add their coefficients. $\newline$ $9y + y = (9 + 1)y = 10y$
Match with choices: Match the result with the given choices. $\newline$ The result from Step $1$ is $10y$ . $\newline$ Now, we look at the choices to find the equivalent expression. $\newline$ (A) $9y$ (This is not correct because it does not include the additional $y$ .) $\newline$ (B) $10y$ (This matches our result.) $\newline$ (C) $y + 10$ (This is not correct because the $10$ is not a coefficient of $y$ .) $\newline$ (D) $y^{10}$ (This is not correct because it represents $y$ raised to the power of $10$ , not $y$ multiplied by $10$ .)