TEAS Math

Adding Fractions

Find a common denominator, then add numerators.

Subtracting Fractions

Find common denominator and subtract numerators.

Multiplying Fractions

Multiply numerator × numerator and denominator × denominator.

Dividing Fractions

Keep-Change-Flip: keep the first fraction, flip the second, multiply.

Improper Fraction to Mixed Number

Divide numerator by denominator; remainder becomes numerator.

Mixed Number to Improper Fraction

Multiply whole number by denominator, then add numerator.

Decimal Addition

Line up decimal points, then add.

Decimal Subtraction

Line up decimal points, then subtract.

Decimal Multiplication

Multiply normally; count total decimal places and place the decimal.

Decimal Division

Move decimal in divisor to make it whole; move decimal in dividend the same amount; divide.

Ratio

Comparison between two quantities using a:b or a/b.

Proportion

Equation showing two ratios are equal (a/b = c/d).

Solve a Proportion

Cross multiply, then divide.

Unit Rate

Divide numerator by denominator to find per-one amount.

Percent Formula

percent = part ÷ whole.

Find the Part

part = percent × whole.

Find the Whole

whole = part ÷ percent.

Percent Increase

(new - old) ÷ old.

Percent Decrease

(old - new) ÷ old.

Simple Interest

I = P × R × T.

Distance Formula

Distance = Rate × Time.

Rate Formula

Rate = Distance ÷ Time.

Time Formula

Time = Distance ÷ Rate.

Mean

Add all values, divide by number of values.

Median

Middle value when numbers are in order.

Mode

Number that appears most often.

Range

Maximum value minus minimum value.

Fraction to Decimal

Divide numerator by denominator.

Decimal to Percent

Multiply by 100 and add %.

Percent to Decimal

Divide by 100.

Percent to Fraction

Write percent over 100 and simplify.

Scientific Notation to Standard

Move decimal right for positive exponent, left for negative.

Standard to Scientific Notation

Place decimal after first non-zero digit; count moves for exponent.

Metric Conversion Rule

Move decimal right for smaller units, left for larger units (KHD B DCM).

Kilograms to Pounds

Multiply kg × 2.2.

mL to L

Divide by 1000.

L to mL

Multiply by 1000.

1 Teaspoon

5 mL.

1 Tablespoon

15 mL.

1 Ounce

30 mL.

1 Cup

240 mL.

F to C Formula

C = (F - 32) × 5/9.

C to F Formula

F = (C × 9/5) + 32.

Area of Rectangle

length × width.

Perimeter of Rectangle

2L + 2W.

Area of Triangle

1/2 × base × height.

Area of Circle

πr².

Circumference of Circle

2πr.

Volume of Rectangular Prism

length × width × height.

Inequality Symbols

greater than; < less than; ≥ greater/equal; ≤ less/equal.

Solve One-Step Equations

Use inverse operation on both sides.

Solve Two-Step Equations

Undo addition/subtraction first, then multiplication/division.

Absolute Value

Distance from zero; always positive.

Rounding Rule

5 or above rounds up; 4 or below rounds down.

Significant Figures

Non-zero digits count; zeros depend on position.

Reading Graphs

Identify labels, units, compare values, spot trends.

Word Problem Strategy

Identify: What do I know? What formula fits?

Proportion Word Problems

Set up ratio = ratio; cross multiply.

Discount Problems

Discount = original × percent off; subtract from original.

Tax Problems

Tax = price × tax rate; add to price.

Total Cost Problems

Add base amount, then tax, then subtract discount if any.

Dosage Calculations

desired ÷ have × volume.

IV Flow Rate

mL per hour = total mL ÷ hours.

IV Drop Rate

gtt/min = (mL × drop factor) ÷ minutes.

Mean Absolute Deviation

Find mean; subtract mean from each value; average absolute values.

Dimensional Analysis

Multiply by conversion ratios; cancel units.