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

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Prepare for the TEAS ATI Mathematics Test with flashcards and multiple-choice questions. Each question comes with hints and explanations to enhance your learning. Boost your chances of passing!

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Solve for x: 3(x - 1) = 2(3x - 9). What is the value of x?

x = 2
x = 8/3
x = -5
x = 5

The correct answer is: x = 5

To solve the equation 3(x - 1) = 2(3x - 9), we’ll first distribute the constants on both sides. On the left side, distribute the 3: 3(x - 1) = 3x - 3. On the right side, distribute the 2: 2(3x - 9) = 6x - 18. Now, the equation looks like this: 3x - 3 = 6x - 18. Next, we'll rearrange the equation to isolate x. Start by moving all terms involving x to one side and the constant terms to the other. Subtract 3x from both sides: -3 = 3x - 18. Now, add 18 to both sides to get all constant terms together: 15 = 3x. Now, divide both sides by 3 to solve for x: x = 5. Thus, the value of x is 5, which is reflected in the answer choice given.