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Worked Math Examples

Study step-by-step examples across major math subjects.

Find 20% of 150

Convert 20% to 0.20, then multiply: 0.20 × 150 = 30.Final answer: 30.

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Differentiate x³ + 2x

Use the power rule. d/dx(x³) = 3x² and d/dx(2x) = 2.Final answer: 3x² + 2.

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Area of a Triangle

Problem: Find the area when base = 10 and height = 6.Area = ½ × base × height = ½ × 10 × 6 = 30.Final answer: 30 square units.

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Solve 2x + 3 = 11

Problem: Solve 2x + 3 = 11.Subtract 3 from both sides: 2x = 8.Divide both sides by 2: x = 4.Final answer: x = 4.

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