MathUnit Conversions

Course Outline
Math Progress
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Study GuideMathUnit Conversions
📊 Problem Solving~15% of SAT Math

Unit Conversions

Convert between units and use dimensional analysis.

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Worked Example

Practice Problems

Problem

5 feet 8 inches to inches

Problem

2.5 miles to inches

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SAT Strategies

Pro Tips & Shortcuts

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SAT Tip: Set up conversions so unwanted units cancel, leaving desired units.

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SAT Tip: The SAT provides some conversions, but knowing common ones saves time.

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SAT Tip: For speed conversions, convert numerator and denominator separately.

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SAT Tip: When converting mixed units, convert each part separately then add.

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SAT Tip: For multi-step conversions, multiply all conversion factors together.

⚡ Shortcut

Write conversion factors as fractions and cancel units diagonally.

⚡ Shortcut

For metric: kilo = 1000, centi = 1/100, milli = 1/1000.

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60 mph = 60 miles/hour = (60 × 5280 ft)/(60 min) = 5280 ft/min

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Multiply feet by 12 to get inches.

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Set up so units cancel: mi × (ft/mi) × (in/ft) = in