Essential Mathematics Formulas for the TEAS Exam

Equations of Motion and Distance

One of the most fundamental formulas required for the TEAS exam relates to movement and travel. The distance formula is used to determine how far an object has traveled based on its speed and the duration of its journey. The formula is expressed as:

$d = r \times t$

In this equation, $d$ represents the total distance, $r$ represents the rate (or speed), and $t$ represents the time elapsed.

Geometric Area and Perimeter of Four-Sided Shapes

Calculations involving two-dimensional rectangular and square shapes are essential components of the mathematics section. To find the area of a rectangle, one must multiply the two primary dimensions. The formula is:

$A = l \times w$

In this context, $A$ is the area, $l$ is the length, and $w$ is the width. For square figures, where all four sides are of equal length, the perimeter calculation is simplified to the sum of all sides, expressed as:

$P = 4 \times s$

In this formula, $P$ represents the perimeter, and $s$ is the length of one side of the square.

Volume of Three-Dimensional Solids

Moving beyond two-dimensional shapes, students must be able to calculate the capacity of a rectangular prism. This involves the product of three distinct dimensions: length, width, and height. The formula is:

$V = l \times w \times h$

Where $V$ represents the volume, $l$ is the length, $w$ is the width, and $h$ is the height of the rectangular prism.

Algebraic Linear and Quadratic Equations

Algebraic modeling is a key focus area, requiring the memorization of specific equation formats. The slope-intercept form of a linear equation is used to define a line on a coordinate plane and is written as:

$y = m \times x + b$

In this linear model, $m$ signifies the slope of the line, while $b$ represents the y-intercept. For second-degree polynomial equations, the standard quadratic equation form is used:

$a \times x^2 + b \times x + c = 0$

In this equation, $a$, $b$, and $c$ serve as constants and $x$ is the variable.

Properties of Right Triangles and the Pythagorean Theorem

The Pythagorean theorem is a staple of geometry used to find missing side lengths in right-angled triangles. The relationship between the three sides is expressed as:

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

Within this theorem, $a$ and $b$ represent the lengths of the two legs of the right triangle, and $c$ is the length of the hypotenuse, which is the longest side opposite the right angle.

Circular Dimensions and Triangle Area

Calculations for circles and triangles are also frequently tested. The circumference of a circle, which measures the distance around its exterior boundary, is calculated using the following formula:

$C = 2 \times \pi \times r$

In this calculation, $C$ stands for the circumference, and $r$ is the radius of the circle. To find the surface area of a triangle, the following formula is applied:

$A = \frac{1}{2} \times b \times h$

Here, $A$ is the area, $b$ is the base of the triangle, and $h$ is the vertical height.

Financial Mathematics and Simple Interest

Financial literacy questions on the TEAS exam often involve the calculation of interest accrued on a principal sum over a period of time. The simple interest formula is:

$I = P \times r \times t$

In this financial formula, $I$ represents the interest earned or charged, $P$ is the principal (the initial amount of money), $r$ is the interest rate, and $t$ is the time the money is invested or borrowed for.

Source Information

The information provided in these study notes is based on the "Must Know & Memorize Formulas for your TEAS Exam" guide provided by Smart Edition Academy. For further resources, visit www.SmartEditionAcademy.com.