TEAS Math Section

Metric Distance Measurements

1. Centimeter (cm) to Millimeters (mm): 1\text{ cm} = 10\text{ mm}

2. Meter (m) to Centimeters (cm): 1\text{ m} = 100\text{ cm}

3. Meter (m) to Millimeters (mm): 1\text{ m} = 1,000\text{ mm}

4. Kilometer (km) to Meters (m): 1\text{ km} = 1,000\text{ m}

Metric Area, Volume, and Mass

• Area: 1\text{ square meter (m}^2\text{)} = 10,000\text{ square centimeters (cm}^2\text{)}

• Volume: 1\text{ liter (L)} = 1,000\text{ milliliters (mL)}

• Mass: 1\text{ kilogram (kg)} = 1,000\text{ grams (g)}

U.S. Customary Capacity Internal Conversions

• 3\text{ teaspoons (tsp)} = 1\text{ tablespoon (tbsp)}

• 2\text{ tablespoons (tbsp)} = 1\text{ fluid ounce (fl oz)}

• 8\text{ fluid ounces (fl oz)} = 1\text{ cup (c)}

• 2\text{ cups} = 1\text{ pint (pt)}

• 2\text{ pints} = 1\text{ quart (qt)}

• 4\text{ quarts} = 1\text{ gallon (gal)}

Area Formulas for Quadrilaterals

1. Square: A = s^2 (side squared)

2. Rectangle: A = l \times w (length times width)

3. Parallelogram: A = b \times h (base times height)

4. Trapezoid: A = (b1 + b2) / 2 × h

Circles and Triangles Formulas

• Triangle Area: A = \frac{1}{2}bh

• Triangle Perimeter: P = a + b + c

• Circle Area: A = \pi r^2

• Circle Circumference: C = 2\pi r or C = \pi d

Polygon Side Counts

• 3-5 sides: Triangle (3), Quadrilateral (4), Pentagon (5)

• 6-8 sides: Hexagon (6), Heptagon (7), Octagon (8)

• 9-12 sides: Nonagon (9), Decagon (10), Hendecagon (11), Dodecagon (12)

Graph Usage and Data Representation

1. Bar Graph: Best for comparing categories.

2. Line Graph: Best for tracking changes over time.

3. Pie Chart: Best for viewing parts of a whole (percentages).

4. Scatter Plot: Best for showing relationships/correlations between variables.

PEMDAS and Slope Definitions

• PEMDAS: Order of operations (P \rightarrow E \rightarrow M/D \rightarrow A/S; multiply/divide and add/subtract move left to right).

• Definition of Slope: Rise over run (\frac{\Delta y}{\Delta x}).

• Slope Types:

  • Direct (Positive): Rises left to right.

  • Indirect (Negative): Falls left to right.

  • Zero: Horizontal line.

  • Undefined: Vertical line.

Linear Equations and Ratios

1. Slope-Intercept Form: y = mx + b

2. Standard to Slope-Intercept: Solve for y

3. Proportions: Two ratios set equal to each other (\frac{a}{b} = \frac{c}{d}). Use cross-multiplication to solve for context-consistent units.

Metric Prefixes (Small to Large)

• Micro- (\mu): one millionth (10^{-6})

• Milli- (m): one thousandth (10^{-3})

• Centi- (c): one hundredth (10^{-2})

• Deci- (d): one tenth (10^{-1})

• Kilo- (k): one thousand (10^{3})

• Mega- (M): one million (10^{6})

• Giga- (G): one billion (10^{9})

Temperature Conversions

1. Celsius to Fahrenheit: F = \frac{9}{5}C + 32

2. Fahrenheit to Celsius: C = \frac{5}{9}(F - 32)

3. Human Body Temperature: 37^{\circ}C or 98.6^{\circ}F

Visual Reference: Size Intuition

• 1 millimeter: Credit card thickness.

• 1 centimeter: Paperclip width.

• 1 meter: Doorknob height.

• 1 kilogram: Textbook weight.

• 1 liter: Large water bottle.

• 1 gallon: Milk jug.