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Course: 6th grade
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Unit 6
Lesson 14: Equivalent expressions
Math>6th grade>Variables & expressions>Equivalent expressions
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Equivalent expressions
Problem
Which expressions are equivalent to
\[j+j+2k\] ?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
\[2jk\]
A
\[2jk\]
(Choice B)
\[2(j+j+k)\]
B
\[2(j+j+k)\]
(Choice C) None of the above
C
None of the above
Answers
Answered by
GPT-4o mini
To determine which expressions are equivalent to \( j + j + 2k \), we can simplify and analyze the given expressions.
First, simplify \( j + j + 2k \):
\[
j + j + 2k = 2j + 2k
\]
Now, let's evaluate the choices:
**Choice A:** \( 2jk \)
This expression is not equivalent to \( 2j + 2k \). It represents the product of \( 2 \), \( j \), and \( k \), not a sum.
**Choice B:** \( 2(j + j + k) \)
Let's simplify this expression:
\[
2(j + j + k) = 2(2j + k) = 4j + 2k
\]
This is also not equivalent to \( 2j + 2k \).
**Choice C:** None of the above
Since neither Choice A nor Choice B is equivalent to \( j + j + 2k \), the correct answer is:
**Choice C: None of the above**
First, simplify \( j + j + 2k \):
\[
j + j + 2k = 2j + 2k
\]
Now, let's evaluate the choices:
**Choice A:** \( 2jk \)
This expression is not equivalent to \( 2j + 2k \). It represents the product of \( 2 \), \( j \), and \( k \), not a sum.
**Choice B:** \( 2(j + j + k) \)
Let's simplify this expression:
\[
2(j + j + k) = 2(2j + k) = 4j + 2k
\]
This is also not equivalent to \( 2j + 2k \).
**Choice C:** None of the above
Since neither Choice A nor Choice B is equivalent to \( j + j + 2k \), the correct answer is:
**Choice C: None of the above**