Solve for x: 3x + 1 = 10

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Prepare for the 8th Grade FAST Mathematics Test with our Pre-Algebra quiz. Study with multiple choice questions, each with hints and explanations. Build your confidence and ensure you're ready to excel!

Multiple Choice

Solve for x: 3x + 1 = 10

Explanation:
Solving linear equations by isolating the variable using inverse operations. To get x by itself, undo the operations on the left side step by step. Start with 3x + 1 = 10. Subtract 1 from both sides to remove the plus 1: 3x = 9. Then divide both sides by 3 to undo the multiplication: x = 3. Checking: 3(3) + 1 = 9 + 1 = 10, which matches the right side. So the value that works is 3. For other values, like x = 2, 3(2) + 1 = 7; x = 4 gives 13; x = 5 gives 16, none of which equal 10.

Solving linear equations by isolating the variable using inverse operations. To get x by itself, undo the operations on the left side step by step. Start with 3x + 1 = 10. Subtract 1 from both sides to remove the plus 1: 3x = 9. Then divide both sides by 3 to undo the multiplication: x = 3. Checking: 3(3) + 1 = 9 + 1 = 10, which matches the right side. So the value that works is 3. For other values, like x = 2, 3(2) + 1 = 7; x = 4 gives 13; x = 5 gives 16, none of which equal 10.

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