SSAT Upper Level Quantitative (Math)

This subject focuses on the quantitative reasoning and mathematical skills required for the SSAT Upper Level exam.

Arithmetic and Number PropertiesFractions, Decimals, and PercentsRatios, Proportions, and Rates
Algebraic Expressions and EquationsGeometry: Shapes, Area, and PerimeterData Analysis and Probability
Budgeting and Money MathCooking and RecipesTravel Planning and Maps
Smart Guessing and EliminationTime Management and Pacing
Arithmetic and Numbe...Fractions, Decimals,...Ratios, Proportions,...Algebraic Expression...Geometry: Shapes, Ar...Data Analysis and Pr...Budgeting and Money ...Cooking and RecipesTravel Planning and ...Smart Guessing and E...Time Management and ...
Advanced Topics

Algebraic Expressions and Equations

Unlocking the Power of Variables

Algebra uses letters to stand for numbers. Expressions are math phrases, and equations are like math sentences with an equal sign.

Expressions vs. Equations

  • Expression: \( 2x + 5 \) (no equal sign)
  • Equation: \( 2x + 5 = 11 \) (has an equal sign)

Solving Equations

To solve, do the same thing to both sides. Always keep equations balanced!

\( 2x + 5 = 11 \) \( 2x = 6 \) \( x = 3 \)

Why Learn This?

Algebra helps you solve mysteries—like figuring out how many more chores you need to do to buy a new game.

Tips

  • Combine like terms.
  • Watch for negative signs!

Real-Life Connections

Algebra is everywhere—from planning budgets to designing video games.

Key Formula

\[2x + 5 = 11\]

Examples

  • If \( x + 7 = 12 \), then \( x = 5 \).

  • Simplifying \( 3a + 2a = 5a \).

In a Nutshell

Algebra uses symbols and rules to solve puzzles involving unknown numbers.

Key Terms

Variable
A symbol (like x or y) that stands for a number.
Equation
A math statement where two expressions are equal.
Next
Geometry: Shapes, Area, and Perimeter