TACHS Math

Comprehensive study of tachs math covering fundamental concepts and advanced applications.

Numbers and OperationsAlgebraic ThinkingGeometry Basics
Word Problems and Logical ReasoningData, Statistics, and ProbabilityAdvanced Geometry and Measurement
Math in Everyday LifeMath in Games and SportsMath for Planning and Projects
Time Management and PacingProcess of EliminationDouble-Checking Your Work
Numbers and Operatio...Algebraic ThinkingGeometry BasicsWord Problems and Lo...Data, Statistics, an...Advanced Geometry an...Math in Everyday Lif...Math in Games and Sp...Math for Planning an...Time Management and ...Process of Eliminati...Double-Checking Your...
Basic Concepts

Algebraic Thinking

Thinking with Variables

Algebra introduces variables, like \(x\) or \(y\), which stand for unknown numbers. You’ll learn how to create and solve equations using these variables.

Expressions and Equations

  • Expression: A combination of numbers, variables, and operations (like \(3x + 5\)).
  • Equation: An expression set equal to another (like \(3x + 5 = 14\)).

Solving Simple Equations

To find the value of a variable, do the same operation to both sides of the equation until the variable stands alone.

Real-Life Connections

Algebra helps you solve mysteries, like figuring out how many packs of cards you can buy with your allowance, or how far you can travel with a certain amount of gas.

Examples

  • Solving \(x + 7 = 12\) to find how many more points you need to win a game.

  • Figuring out how many rides you can get at the fair if each ticket costs $3.

In a Nutshell

Use variables and equations to solve unknowns and make sense of everyday problems.

Key Terms

Variable
A symbol (often a letter) that stands for an unknown value.
Equation
A statement that two expressions are equal.
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Geometry Basics