Chapter 1
Algebra
Course: Sat Prep
Subject: Math
Chapter: Algebra
By the end of this lesson, you will be able to:
- Model real-world situations using linear equations.
- Translate word problems into algebraic equations.
- Solve distance-rate-time problems using linear models.
- Solve work-rate problems involving two or more workers.
- Solve mixture problems involving concentrations and quantities.
- Apply linear equations to financial situations such as budgeting, wages, discounts, commissions, and simple interest.
- Interpret and verify solutions within the context of real-world problems.
Introduction to Mathematical Modeling
Mathematical modeling is the process of representing a real-world situation using mathematical expressions, equations, and graphs. Instead of simply solving an equation, you begin by identifying the quantities involved, assigning variables, and writing an equation that accurately describes the relationship between those quantities.
Many Digital SAT algebra questions are presented as word problems rather than direct equations. Success on these questions depends on your ability to translate words into mathematics.