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10 (x + 120) = 120 Which of the following equations has the same (May 2023 U.S.)

Updated on 07/12/2024

10 (x + 120) = 120

Which of the following equations has the same solution as the given equation?

A) x + 120 = 12
B) x + 120 = 130
C) x + 12 = 12
D) x + 12 = 120


Solution

Correct answer: B) x + 120 = 130.
To solve this problem, we need to find the equation that has the same solution as the given equation: 10(x + 120) = 120.

Let's solve the given equation step-by-step:
10(x + 120) = 120
10x + 1200 = 120
10x = -1080
x = -108

Now, let's compare the given equation with the options provided:
A) x + 120 = 12
This equation does not have the same solution as the given equation, as the solution to this equation is x = -108.

B) x + 120 = 130
This equation has the same solution as the given equation, as the solution to this equation is also x = -108.

C) x + 12 = 12
This equation does not have the same solution as the given equation, as the solution to this equation is x = 0.

D) x + 12 = 120
This equation does not have the same solution as the given equation, as the solution to this equation is x = 108.

Therefore, the correct answer is option B: x + 120 = 130.

Exam Edition: May 2023 U.S.

Exam Year: 2023

Related topics: Algebra and Algebraic Equations, Solving Linear Equations

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