Core Math and Science Fundamentals

Vocabulary and formula flashcards covering basic algebra, geometry, business math, and numerical constants based on the lecture notes.

Speed Formula

$$S = \frac{D}{T}$$

Simple Interest Formula

$$I = prt$$

Area of a Square

$$A = s^{2}$$

Perimeter of a Square

$$P = 4s$$

Distance Formula

$$D = S \times T$$

Time Formula

$$T = \frac{D}{S}$$

Angle Sum of a Triangle

The sum of angles $a + b + c = 180^{\circ}$

Pythagorean Theorem

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

Area of a Rectangle

$$A = l \times w$$

Perimeter of a Rectangle

$$P = 2(l + w)$$

Area of a Triangle

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

Pythagorean Triples

$3, 4, 5$; $5, 12, 13$; $8, 15, 17$

Surface Area of a Box

$$SA = 2(lw) + 2(lh) + 2(wh)$$

Area of a Parallelogram

$$A = b \times h$$

Perimeter of a Parallelogram

$$P = 2(a + b)$$

Slope-Intercept Form

$y = mx + b$, where $b$ is the intercept

Circumference of a Circle

$$C = 2\pi r$$

Area of a Circle

$$A = \pi r^{2}$$

Volume of a Cylinder

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

Volume of a Rectangular Prism

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

Slope Formula

$$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$$

Percentage: Part

$$\text{Part} = \text{Percent} \times \text{Whole}$$

Percentage: Percent Calculation

$$\text{Percent} = \frac{\text{Part}}{\text{Whole}} \times 100$$

Discount Amount ($D$)

$D = OP \times DR$, where $OP$ is original price and $DR$ is discount rate

Sale Price ($SP$)

$$SP = OP - D$$

Average (Mean)

$$\frac{\text{Sum of numbers}}{\text{Number of items}}$$

Tip Calculation

$$\text{Tip} = \text{Bill} \times \text{Tip Rate}$$

Tax Calculation

$$\text{Tax} = \text{Price} \times \text{Tax Rate}$$

Total Cost ($TC$)

$TC = P + T$, where $P$ is price and $T$ is tax

Difference of Squares Factorization

$$(a^{2} - b^{2}) = (a + b)(a - b)$$

Prime Numbers (2–31)

$$2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31$$

Perfect Square: $13^{2}$

$$169$$

Perfect Square: $14^{2}$

$$196$$

Perfect Square: $20^{2}$

$$400$$