Factor 24 j-16 to identify the equivalent expressions. Choose 2 answers: A 8(3j-2) B 6(4j-2j) c 4(6j-4) D 2(12-8)

Identify GCF: Step Title: Identify the Greatest Common Factor (GCF) Concise Step Description: Determine the greatest common factor of the terms in the expression. Step Calculation: The GCF of 24j and -16 is 8.Factor Out GCF: Step Title: Factor Out the GCF Concise Step Description: Factor the GCF out of the expression. Step Calculation: Factoring out 8 from 24j - 16 gives 8(3j - 2).Verify Equivalent Expressions: Step Title: Verify the Equivalent Expressions Concise Step Description: Check the given options to see which ones are equivalent to the factored expression. Step Calculation: Option A is 8(3j - 2), which matches the factored expression. Option C is 4(6j - 4), which can be simplified to 4(6j) - 4(4) = 24j - 16, which is also equivalent to the original expression. Options B and D are not equivalent to the original expression.

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Factor
24 j-16 to identify the equivalent expressions.
Choose 2 answers:
A
8(3j-2)
B
6(4j-2j)
c
4(6j-4)
D
2(12-8)

Factor $24 j-16$ to identify the equivalent expressions. $\newline$ Choose $2$ answers: $\newline$ A $8(3 j-2)$ $\newline$ B $6(4 j-2 j)$ $\newline$ C $4(6 j-4)$ $\newline$ D $2(12-8)$

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Math Problems

Grade 6

Factor numerical expressions using the distributive property

Full solution

Q. Factor

24 j-16

to identify the equivalent expressions.

\newline

Choose

2

answers:

\newline

8(3 j-2)

\newline

6(4 j-2 j)

\newline

4(6 j-4)

\newline

2(12-8)

Identify GCF: Step Title: Identify the Greatest Common Factor (GCF) $\newline$ Concise Step Description: Determine the greatest common factor of the terms in the expression. $\newline$ Step Calculation: The GCF of $24j$ and $-16$ is $8$ .
Factor Out GCF: Step Title: Factor Out the GCF $\newline$ Concise Step Description: Factor the GCF out of the expression. $\newline$ Step Calculation: Factoring out $8$ from $24j - 16$ gives $8(3j - 2)$ .
Verify Equivalent Expressions: Step Title: Verify the Equivalent Expressions $\newline$ Concise Step Description: Check the given options to see which ones are equivalent to the factored expression. $\newline$ Step Calculation: Option A is $8(3j - 2)$ , which matches the factored expression. Option C is $4(6j - 4)$ , which can be simplified to $4(6j) - 4(4) = 24j - 16$ , which is also equivalent to the original expression. Options B and D are not equivalent to the original expression.