College Math Placement Practice Test

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Prepare for your College Math Placement Test with our expert-crafted quiz! Practice with diverse question formats and detailed explanations to enhance your math skills and boost your confidence.

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What is the solution to the equation 5x − 18 = x/2?

x = 2
x = 4
x = 5
x = 3

The correct answer is: x = 4

To solve the equation 5x − 18 = x/2, it's essential to isolate the variable x on one side. Here’s how the solution unfolds: First, multiply both sides of the equation by 2 to eliminate the fraction. This gives: 2(5x - 18) = x Expanding the left side results in: 10x - 36 = x Next, subtract x from both sides to consolidate all x terms on one side: 10x - x - 36 = 0, which simplifies to: 9x - 36 = 0 Now, add 36 to both sides to isolate the term with x: 9x = 36 Finally, divide both sides by 9 to solve for x: x = 36 / 9 = 4 Thus, the solution to the equation is x = 4. This confirms that 4 is the correct answer, as all mathematical operations align correctly with solving the equation systematically.