Test of Essential Academic Skills (TEAS) ATI Mathematics Practice Test

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What is the solution of the equation: 3(x - 4) = 9?

x = 5
x = 4
x = 7
x = 3

The correct answer is: x = 7

To find the solution to the equation 3(x - 4) = 9, we begin by simplifying the equation step by step. First, distribute the 3 on the left side: 3 * (x - 4) becomes 3x - 12. Now, the equation looks like this: 3x - 12 = 9. Next, to isolate the term with x, we need to add 12 to both sides of the equation: 3x - 12 + 12 = 9 + 12. This simplifies to: 3x = 21. To solve for x, divide both sides of the equation by 3: 3x / 3 = 21 / 3. This gives us: x = 7. Thus, the solution to the equation is x = 7, which corresponds to the correct choice. It’s important to recognize that while the other values presented might seem plausible, they do not satisfy the original equation when substituted back in. For example, substituting any of the other choices into the equation would not result in equality, confirming that 7 is the only correct solution.