Is 10 a factor of 80s + 56? Choices: (A)yes (B)no

Simplify Expression: Simplify the expression 80s + 56 by factoring out the greatest common factor. 80s + 56 = 8(10s + 7) Check Factor of Simplified: Check if 10 is a factor of the simplified expression 8(10s + 7). Since 10s is part of the expression inside the parentheses, 10 is a factor of 10s but not necessarily of 8(10s + 7) because 8 and 7 are not multiples of 10. Conclude Factor of Entire Expression: Conclude if 10 is a factor of the entire expression based on the factors of each part. 10 is a factor of 10s, but since 8 and 7 are not multiples of 10, 10 is not a factor of the entire expression 8(10s + 7).

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Is $10$ a factor of $80s + 56$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Math Problems

Grade 8

Factors of linear expressions

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Q. Is

10

a factor of

80s + 56

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Simplify Expression: Simplify the expression $80s + 56$ by factoring out the greatest common factor. $\newline$ $80s + 56$ $\newline$ = $8(10s + 7)$
Check Factor of Simplified: Check if $10$ is a factor of the simplified expression $8(10s + 7)$ . $\newline$ Since $10s$ is part of the expression inside the parentheses, $10$ is a factor of $10s$ but not necessarily of $8(10s + 7)$ because $8$ and $7$ are not multiples of $10$ .
Conclude Factor of Entire Expression: Conclude if $10$ is a factor of the entire expression based on the factors of each part. $10$ is a factor of $10s$ , but since $8$ and $7$ are not multiples of $10$ , $10$ is not a factor of the entire expression $8(10s + 7)$ .