๐Ÿ”ข Algebra Fundamentals

What is Algebra?

Algebra uses letters (called variables) to represent unknown numbers. It helps us solve problems and find patterns!

Think of it this way:

If you have 3 boxes of cookies and each box has x cookies, you have 3x cookies total!

๐Ÿ”ง Equation Solver

Enter a linear equation and see the step-by-step solution!

Try these examples:

๐Ÿ“‹ Order of Operations (PEMDAS)

Click on each step to see how expressions are evaluated following the order of operations.

P Parentheses (3 + 2)
E Exponents 2ยณ
M Multiply 4 ร— 5
D Divide 10 รท 2
A Add 6 + 3
S Subtract 9 - 4

Watch how this expression is evaluated step by step:

3 + 4 ร— 2ยฒ

โœ๏ธ Practice Mode

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0 Correct
0 Incorrect
0 Streak ๐Ÿ”ฅ

โœ๏ธ Quick Check

1. Solve for x: 5x - 3 = 22

2. Evaluate: 2 ร— (3 + 5)ยฒ รท 4

๐Ÿ“ Geometry

๐Ÿ“ Shape Calculator

Select a shape and enter dimensions to calculate area and perimeter!

Enter values to calculate

๐Ÿ“ Pythagorean Theorem Explorer

Explore the famous theorem: aยฒ + bยฒ = cยฒ

a b c
a
b
c
aยฒ + bยฒ = cยฒ
Enter values for a and b

๐Ÿ“ Angle Explorer

Drag the slider to explore different types of angles!

Acute Angle
Less than 90ยฐ

๐Ÿ“ Quick Reference: Shape Formulas

โ–ญ

Rectangle

Area = length ร— width

Perimeter = 2(l + w)

โ–ฒ

Triangle

Area = ยฝ ร— base ร— height

Perimeter = a + b + c

โ—

Circle

Area = ฯ€ ร— rยฒ

Circumference = 2ฯ€r

๐Ÿ“Š Statistics & Probability

๐Ÿ“ˆ Statistics Calculator

Enter a set of numbers to calculate mean, median, mode, and more!

Enter some numbers to see statistics

Data Visualization

๐ŸŽฒ Probability Simulator

Explore probability with dice rolls and coin flips!

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๐Ÿงฎ Quick Mean Calculator

Enter numbers separated by commas:

Mean: -
Median: -
Mode: -

๐ŸŽฏ Understanding Probability

Probability measures how likely an event is to happen, from 0 (impossible) to 1 (certain).

Probability = Favorable outcomes รท Total possible outcomes

๐ŸŽฒ Example: Rolling a Die

What's the probability of rolling a 3?

  • Favorable outcomes: 1 (just the number 3)
  • Total outcomes: 6 (numbers 1-6)
  • Probability = 1/6 โ‰ˆ 0.167 or about 16.7%

Probability Scale

0Impossible 0.25Unlikely 0.5Even 0.75Likely 1Certain

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