TEAS Math Formulas Review

Practice flashcards covering essential formulas, conversions, geometry, statistics, and algebraic expressions for the TEAS Math exam.

What is the formula for calculating the area of a triangle?

$$A = \frac{1}{2}bh$$

What is the formula for calculating the area of a square?

$$A = l^2$$

What is the formula for calculating the area of a rectangle?

$$A = lw$$

What is the formula for calculating the area of a parallelogram?

$$A = bh$$

What is the formula for calculating the area of a trapezoid?

$$A = \frac{1}{2}(b_1 + b_2)h$$

What is the formula for calculating the area of a circle?

$$A = \pi r^2$$

What is the formula for calculating the area of a rhombus?

$$A = \frac{1}{2}(d_1 \times d_2)$$

What is the formula for calculating the area of an ellipse?

$$A = \pi ab$$

What is the formula for calculating the volume of a rectangular pyramid?

$$V=\frac{l\times w\times h}{3}$$

What is the formula for calculating the volume of a sphere?

$$V = \frac{4}{3}\pi r^3$$

What is the formula for calculating the volume of a cube?

$$V = s^3$$

What is the formula for calculating the volume of a rectangular prism?

$$V = l \times w \times h$$

What is the formula for calculating the volume of a cylinder?

$$V = \pi r^2 h$$

What is the formula for calculating the volume of a triangular prism?

$$V=\frac{b\times h\times l}{2}$$

What is the formula for calculating the volume of a cone?

$$V = \frac{1}{3}\pi r^2 h$$

How is perimeter defined?

Perimeter is the sum of all sides of a shape

What is circumference, and what is its formula?

the distance around a circle; $C = 2\pi r$

What is the Pythagorean Theorem formula?

$$a^2 + b^2 = c^2$$

How are the apex and base defined in geometry?

The apex is the highest point of a shape, opposite from the base.

1 ft = ? inch

12 in

1 inch = ? cm

2.54 cm

1 yd = ? ft

3 ft

1 m = ? ft

3.28 ft

1 mi = ? ft

5,280 ft

1 mi = ? km

1.61 km

1 oz = ? g

28.35 g

1 cup = ? oz

8 oz

1 pint = ? cup

2 cups

1 qt = ? pints

2 pints

1 gallon = ? qts

4 qts

1 gallon = ? L

3.8 L

1 lb = ? oz

16 oz

1 kg = ? lbs

2.2 lbs

1 t = ? lbs

2,000 lbs

Formula for Celsius → Farenheight

$${^\circ}\text{F} = \frac{9}{5}({^\circ}\text{C}) + 32$$

Formula for Farenheight → Celsius

$${^\circ}\text{C} = \frac{5}{9}({^\circ}\text{F} - 32)$$

What is the slope formula?

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{\text{rise}}{\text{run}}$,

What is slope intercept form? Define what m & b is

$y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

On a graph, which axis represents the independent variable and which represents the dependent variable?

The x-axis ($x$) represents the independent variable, and the y-axis ($y$) represents the dependent variable.

What are the four types of slopes illustrated on a coordinate plane?

Positive slope, negative slope, slope of zero, and undefined slope.

What is the mean

the average

Define Median

middle of numbers

Define mode

most common/frequent value

Define Range

distance between smallest and largest number

What characterizes a left-skewed (negative) distribution curve?

A left-skewed distribution has a longer tail on the left, with measures positioned in the order of Mean, Median, and Mode from left to right ($\text{Mean} < \text{Median} < \text{Mode}$).

What are the formulas for percent increase, percent decrease, and percent to fraction/decimal?

Percent Increase: $\left(\frac{\text{new value} - \text{original value}}{\text{original value}}\right) \times 100$; Percent Decrease: $\left(\frac{\text{original value} - \text{new value}}{\text{original value}}\right) \times 100$; Percent to Fraction/Decimal: $\frac{\text{Percentage}}{100}$

What is the mnemonic for metric conversions and the values corresponding to each prefix?

Mnemonic: 'King Henry Died By Drinking Chocolate Milk'. Prefixes and values: Kilo (0.001), Hecto (0.01), Deca (0.1), Base (1.0), Deci (10.0), Centi (100.0), Milli (1,000.0).

What are the standard forms for linear equations, quadratic equations, and the quadratic formula?

Linear Equations: $ax + b = c$; Quadratic Equations: $ax^2 + bx + c = 0$; Quadratic Formula: $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$