Factor 140 c+28-14 a to identify the equivalent expressions. Choose 2 answers: A 7(20 c+4-2a) B 2(70 c+28-14 a) c 14(10 c+2-a) D 2(70 a+14-7c)

Identify GCF of terms: Identify the greatest common factor (GCF) of the terms 140c, 28, and -14a. The GCF of 140, 28, and 14 is 14.Factor out GCF from each term: Factor out the GCF from each term in the expression. 140c + 28 - 14a = 14(10c) + 14(2) - 14(a) = 14(10c + 2 - a)Check factored expression: Check the factored expression against the given choices. The factored expression 14(10c + 2 - a) matches choice C.Check for additional factoring: Check if there is another factor that can be factored out to match any other given choices. Since 14 is the GCF, no further factoring is possible that would match the given choices.

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Factor
140 c+28-14 a to identify the equivalent expressions.
Choose
2 answers:
A
7(20 c+4-2a)
B
2(70 c+28-14 a)
c
14(10 c+2-a)
D
2(70 a+14-7c)

Factor $140 c+28-14 a$ to identify the equivalent expressions. $\newline$ Choose $2$ answers: $\newline$ A $7(20 c+4-2 a)$ $\newline$ B $2(70 c+28-14 a)$ $\newline$ c $14(10 c+2-a)$ $\newline$ D $2(70 a+14-7 c)$

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Math Problems

Grade 7

Identify equivalent linear expressions I

Full solution

Q. Factor

140 c+28-14 a

to identify the equivalent expressions.

\newline

Choose

2

answers:

\newline

7(20 c+4-2 a)

\newline

2(70 c+28-14 a)

\newline

14(10 c+2-a)

\newline

2(70 a+14-7 c)

Identify GCF of terms: Identify the greatest common factor (GCF) of the terms $140c$ , $28$ , and $-14a$ . $\newline$ The GCF of $140$ , $28$ , and $14$ is $14$ .
Factor out GCF from each term: Factor out the GCF from each term in the expression. $\newline$ $140c + 28 - 14a = 14(10c) + 14(2) - 14(a)$ $\newline$ $= 14(10c + 2 - a)$
Check factored expression: Check the factored expression against the given choices. $\newline$ The factored expression $14(10c + 2 - a)$ matches choice C.
Check for additional factoring: Check if there is another factor that can be factored out to match any other given choices. $\newline$ Since $14$ is the GCF, no further factoring is possible that would match the given choices.