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Algebra 2110Updated Sep 25, 20262 pages

Key ACT Math Formulas and Conversion Tips

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Get ready to ace the ACT math section with these essential formulas! This guide covers the key mathematical concepts you'll need for geometry, measurement, and coordinate problems on the test, complete with real-world examples to help you practice.
ACT Formulas and Conversions – page 1

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Essential ACT Geometry Formulas

Ever wondered how math applies to real life? These ACT formulas will not only help you on the test but also solve everyday problems. For rectangles, remember that area equals base times height A=bhA = bh. For example, if you're calculating flooring costs for a 12 × 15 foot room at 1.50persquarefoot,you′dmultiply12×15=180squarefeet,thenmultiplyby1.50 per square foot, you'd multiply 12 × 15 = 180 square feet, then multiply by 1.50.

Triangle area is found using half the base times height A=bh/2A = bh/2. This comes in handy for irregular shapes like yield signs. For three-dimensional objects, the volume of a rectangular prism is calculated by multiplying length × width × height, perfect for determining capacity.

For circles, the area formula is π times radius squared A=πr2A = πr². Remember this whenever you need to find the area of round objects like cake pans or pizza sizes.

Pro Tip: Memorize these common conversions for the ACT: 1 foot = 12 inches, 1 inch = 2.54 cm, 1 meter = 100 cm, 1 yard = 3 feet, and 1 mile = 1760 yards. These will save you time on unit conversion problems!

ACT Formulas and Conversions – page 2

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More ACT Formulas: Perimeter and Coordinate Geometry

Finding the perimeter of a regular polygon is simple—just multiply the number of sides by the length of one side. This works perfectly for shapes like stop signs where all sides are equal. For circles, the circumference equals 2π times the radius C=2πrC = 2πr, which helps when measuring around circular objects.

The Pythagorean Theorem c=√(a2+b2)c = √(a² + b²) is crucial for right triangles. When you know two sides, finding the third becomes straightforward. This formula appears regularly on the ACT in various problem types.

Coordinate geometry formulas are also important. The slope formula m=(y2−y1)/(x2−x1)m = (y₂-y₁)/(x₂-x₁) helps find the steepness of lines between two points. The midpoint formula (x1+x2)/2,(y1+y2)/2(x₁+x₂)/2, (y₁+y₂)/2 locates the exact center between two coordinates, while the distance formula calculates the straight-line distance between points.

Remember: These formulas aren't just for memorizing—practice applying them to different problem types. The ACT often presents familiar concepts in unexpected contexts, so understanding how and why these formulas work gives you an advantage!

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