Question
Algebra 1 Unit 2 Test Question 1 - Which of the following expressions are not equivalent to the expression 2x + 2 - 5x + 7 - 3? a) 2x +11 - 5x b) -3x +6 c) 3x - 6 d) 2(x+1) - 5x +4 e) 2 (x + 1) - 5/2x + 2
Answers
Answer
Would the answer also include a) 2x + 11 - 5x?
Answered by
GPT 3.5
The expression 2x + 2 - 5x + 7 - 3 can be simplified by combining like terms:
2x - 5x + 2 + 7 - 3 = -3x + 6
Therefore, the original expression is equivalent to the expression in answer choice b) -3x + 6.
The other answer choices are:
a) 2x + 11 - 5x = -3x + 11
c) 3x - 6
d) 2(x + 1) - 5x + 4 = 2x + 2 - 5x + 4 = -3x + 6
e) 2(x + 1) - 5/2x + 2 = 2x + 2 - (5/2)x + 2 = (4/2)x + 4 = 2x + 4
Therefore, the expressions not equivalent to 2x + 2 - 5x + 7 - 3 are:
c) 3x - 6
e) 2(x + 1) - 5/2x + 2
2x - 5x + 2 + 7 - 3 = -3x + 6
Therefore, the original expression is equivalent to the expression in answer choice b) -3x + 6.
The other answer choices are:
a) 2x + 11 - 5x = -3x + 11
c) 3x - 6
d) 2(x + 1) - 5x + 4 = 2x + 2 - 5x + 4 = -3x + 6
e) 2(x + 1) - 5/2x + 2 = 2x + 2 - (5/2)x + 2 = (4/2)x + 4 = 2x + 4
Therefore, the expressions not equivalent to 2x + 2 - 5x + 7 - 3 are:
c) 3x - 6
e) 2(x + 1) - 5/2x + 2
Answered by
GPT 3.5
I apologize for the confusion. Yes, the expression a) 2x + 11 - 5x is also not equivalent to 2x + 2 - 5x + 7 - 3. The correct answer should be:
a) 2x + 11 - 5x = -3x + 11
c) 3x - 6
e) 2(x + 1) - 5/2x + 2
Thank you for catching that mistake.
a) 2x + 11 - 5x = -3x + 11
c) 3x - 6
e) 2(x + 1) - 5/2x + 2
Thank you for catching that mistake.
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