SSAT Middle Level Math

SSAT Middle Level Math covers essential mathematical concepts and problem-solving skills necessary for success on the SSAT exam.

Numbers and OperationsGeometry BasicsRatios, Proportions, and Percents
Algebraic Expressions and EquationsData Analysis and ProbabilityWord Problems and Logical Reasoning
Money and Financial LiteracyMeasurement in Daily LifeMath in Technology and Games
Time Management on the SSATElimination and Guessing TechniquesChecking Your Work
Numbers and Operatio...Geometry BasicsRatios, Proportions,...Algebraic Expression...Data Analysis and Pr...Word Problems and Lo...Money and Financial ...Measurement in Daily...Math in Technology a...Time Management on t...Elimination and Gues...Checking Your Work
Advanced Topics

Algebraic Expressions and Equations

The Basics of Algebra

Algebra is like solving mysteries with numbers and letters. An algebraic expression contains variables (like \( x \) or \( y \)), numbers, and operations.

Expressions vs. Equations

  • Expression: A combination of numbers, variables, and operations (no equals sign), like \( 3x + 5 \).
  • Equation: An expression set equal to something, like \( 3x + 5 = 11 \).

Solving Equations

To solve an equation, find the value of the variable that makes the equation true.

Steps to Solve:

  1. Isolate the variable (get it alone on one side).
  2. Use inverse operations (subtract if there's addition, divide if there's multiplication).

Real-World Use

Algebra is everywhere! You use it to figure out how much money you'll have after buying a snack, or to solve puzzles in games.

Key Formula

\[x = \frac{b}{a}\]

Examples

  • Solving \( 2x + 3 = 11 \): Subtract 3 to get \( 2x = 8 \), then divide by 2 to get \( x = 4 \)

  • If a pizza costs \( p \) dollars and you buy 3, you pay \( 3p \) dollars

In a Nutshell

Algebra lets you solve for unknowns using variables, numbers, and operations.

Key Terms

Variable
A letter that stands for a number.
Equation
A math statement showing two things are equal.
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Data Analysis and Probability