Algebra Dasar

Basic Algebra

What is Algebra?

• A branch of mathematics that deals with variables and their relationships
• Uses symbols, equations, and formulas to solve problems

Key Concepts

• Variables: Letters or symbols that represent unknown values
• Constants: Numbers that do not change value
• Expressions: Combinations of variables, constants, and mathematical operations
• Equations: Statements that express the equality of two expressions

Basic Operations

• Addition: Combining two or more numbers to get a total or a sum
  • Example: 2 + 3 = 5
• Subtraction: Finding the difference between two numbers
  • Example: 5 - 2 = 3
• Multiplication: Repeated addition of a number
  • Example: 2 × 3 = 6
• Division: Sharing a number into equal parts
  • Example: 6 ÷ 2 = 3

Algebraic Properties

• Commutative Property: The order of numbers does not change the result
  • Example: 2 + 3 = 3 + 2
• Associative Property: The order of operations does not change the result
  • Example: (2 + 3) + 4 = 2 + (3 + 4)
• Distributive Property: Multiply a single value to multiple addends
  • Example: 2(3 + 4) = 2 × 3 + 2 × 4

Solving Equations

• Linear Equations: Equations in which the highest power of the variable is 1
  • Example: 2x + 3 = 7
• Quadratic Equations: Equations in which the highest power of the variable is 2
  • Example: x^2 + 4x + 4 = 0
• Methods for Solving Equations:
  • Addition/Subtraction
  • Multiplication/Division
  • Factoring
  • Quadratic Formula

Graphing Basics

• Coordinate Plane: A graph with x-axis (horizontal) and y-axis (vertical)
• Ordered Pairs: Points on the graph represented by (x, y)
• Graphing Linear Equations: Plotting points to visualize the equation

These notes cover the basics of algebra, including key concepts, operations, properties, solving equations, and graphing basics.

Quiz ini membahas konsep dasar aljabar, termasuk variabel, konstanta, ekspresi, dan persamaan. Quiz ini juga mencakup operasi dasar, sifat aljabar, dan cara menyelesaikan persamaan.