SSAT Upper Level: Quantitative

SSAT Upper Level

Numbers and OperationsAlgebraic Expressions and EquationsGeometry: Shapes and Measurement
Advanced Algebra: Inequalities and SystemsData Analysis and ProbabilityWord Problems and Mathematical Reasoning
Budgeting and Money MathMeasuring and BuildingUnderstanding Sports Stats
Time Management on the TestElimination and EstimationChecking Your Work
Numbers and Operatio...Algebraic Expression...Geometry: Shapes and...Advanced Algebra: In...Data Analysis and Pr...Word Problems and Ma...Budgeting and Money ...Measuring and Buildi...Understanding Sports...Time Management on t...Elimination and Esti...Checking Your Work
Basic Concepts

Algebraic Expressions and Equations

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 \( 5x \).

In a Nutshell

Algebra lets you use symbols to solve puzzles and find unknowns in everyday situations.

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Geometry: Shapes and Measurement