TACHS Math

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

Numbers and OperationsFractions, Decimals, and PercentsRatios, Proportions, and Rates
Algebraic Expressions and EquationsGeometry: Shapes, Area, and VolumeData Analysis and Probability
Budgeting and Money MathMeasuring and EstimatingPlanning and Scheduling
Time Management on the TestUsing Estimation and Elimination
Numbers and Operatio...Fractions, Decimals,...Ratios, Proportions,...Algebraic Expression...Geometry: Shapes, Ar...Data Analysis and Pr...Budgeting and Money ...Measuring and Estima...Planning and Schedul...Time Management on t...Using Estimation and...
Advanced Topics

Algebraic Expressions and Equations

Unlocking Algebra

Algebra uses letters and symbols to represent unknown values—like a puzzle where you solve for the missing piece.

Expressions

An expression is a combination of numbers, variables, and operations, but it doesn't have an equals sign (e.g., \( 2x + 3 \)).

Equations

An equation says two things are equal. The goal is to find the value of the variable that makes it true.

Solving Equations

  • Get the variable on one side by doing the same thing to both sides.
  • Always check your solution by plugging it back in.

Why Learn Algebra?

Algebra shows up in science, engineering, and even video game coding!

Key Formula

\[x = \frac{b}{a}\]

Examples

  • Solving \( 2x + 3 = 7 \) gives \( x = 2 \).

  • If \( y - 4 = 10 \), then \( y = 14 \).

In a Nutshell

Algebra helps solve for unknowns using logic and rules.

Key Terms

Variable
A symbol (usually a letter) that stands for an unknown value.
Equation
A mathematical statement that two expressions are equal.
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Geometry: Shapes, Area, and Volume