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SSAT Upper Level Quantitative

Algebraic Expressions and Equations

Learn Algebraic Expressions and Equations in SSAT Upper Level Quantitative from the production AIPH study guide.

Study guide topics

Numbers and OperationsAlgebraic Expressions and EquationsGeometry: Shapes and MeasurementAdvanced Algebra: Inequalities and SystemsData Analysis and ProbabilityWord Problems and Mathematical ReasoningBudgeting and Money MathMeasuring and BuildingUnderstanding Sports StatsTime Management on the TestElimination and EstimationChecking Your Work

Basic Concepts

In a nutshell: Algebra lets you use symbols to solve puzzles and find unknowns in everyday situations.

## Introduction to Algebra Algebra helps us find unknown values, like figuring out how many candies are in a jar if you know the total weight. ### Expressions vs. Equations - **Expression**: A combination of numbers, variables, and operations (like \( 3x + 2 \)) - **Equation**: Two expressions set equal to each other (like \( 3x + 2 = 8 \)) ### Simplifying Expressions Combine like terms and use the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) to simplify. ### Solving Equations The goal is to find the value of the variable that makes the equation true. ## Real-World Applications Algebra is useful for budgeting, planning trips, and even coding video games!

Examples

  • If \( x + 5 = 12 \), then \( x = 7 \).
  • Simplifying \( 2x + 3x \) to \( 5x \).
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