Common Core: High School - Algebra

This subject covers the foundational concepts and skills of algebra as outlined in the Common Core standards for high school students.

Expressions and OperationsLinear Equations and InequalitiesFunctions and Their Representations
Systems of EquationsQuadratic Equations and ParabolasExponents and Polynomials
Budgeting and Financial PlanningSports Statistics and PerformanceBuilding and Design
Check Your Work and EstimateBreak Down Problems into Smaller Steps
Expressions and Oper...Linear Equations and...Functions and Their ...Systems of EquationsQuadratic Equations ...Exponents and Polyno...Budgeting and Financ...Sports Statistics an...Building and DesignCheck Your Work and ...Break Down Problems ...
Practical Applications

Budgeting and Financial Planning

Using Algebra to Manage Money

Algebra helps you plan and manage your finances. By writing equations and inequalities, you can track spending, save for goals, and avoid debt.

  • Making a budget: Assign values to different categories, like food, entertainment, and savings.
  • Setting up equations: For example, if you want to save $100 in 4 weeks, use \( 4x = 100 \) to find out how much to save each week.

Why Is This Useful?

Managing money with algebra helps you make smarter choices, stay out of trouble, and reach your goals.

Real-World Examples

  • Planning how much to spend on a school trip.
  • Figuring out if you can afford a new gadget after paying for essentials.

Examples

  • If you have $50 and spend $x each week, \( 50 - 2x \geq 10 \) tells you how much you can spend so you’ll have at least $10 left after 2 weeks.

  • Splitting $120 among 3 friends: \( 3x = 120 \) → each gets $40.

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Sports Statistics and Performance