ISEE Middle Level Math

ISEE Middle Level Math covers essential mathematical concepts and problem-solving skills needed for middle school students preparing for the ISEE exam.

Number Operations & PropertiesFractions, Decimals, and PercentsRatios, Proportions, and Rates
Algebraic Expressions & EquationsGeometry: Area, Perimeter, and VolumeData Analysis & Probability
Budgeting and Money MathTravel and Distance ProblemsCooking and Recipes
Time Management During the TestElimination and Guessing
Number Operations & ...Fractions, Decimals,...Ratios, Proportions,...Algebraic Expression...Geometry: Area, Peri...Data Analysis & Prob...Budgeting and Money ...Travel and Distance ...Cooking and RecipesTime Management Duri...Elimination and Gues...
Advanced Topics

Algebraic Expressions & Equations

Unlocking the Power of Variables

Algebra is like a secret code where letters stand for numbers. You use algebraic expressions and equations to solve problems and find unknowns.

Algebraic Expressions

An expression is a mix of numbers, variables, and operations, like \( 2x + 3 \).

Equations

An equation says two things are equal, like \( 2x + 3 = 7 \).

Solving Equations

To find the value of \( x \), do the same thing to both sides until \( x \) is alone.

  • Subtract 3 from both sides: \( 2x + 3 - 3 = 7 - 3 \) gives \( 2x = 4 \)
  • Divide both sides by 2: \( x = 2 \)

Why Algebra Matters

Algebra helps you spot patterns, solve puzzles, and tackle problems in science and real life.

Key Formula

\[ax + b = c\]

Examples

  • Solve \( x + 5 = 12 \): Subtract 5 from both sides to get \( x = 7 \).

  • If 3 pencils cost $6, each pencil costs \( \frac{6}{3} = 2 \) dollars.

In a Nutshell

Algebra uses symbols and equations to find unknown values.

Key Terms

Variable
A symbol (like x or y) that stands for an unknown number.
Equation
A mathematical statement that two expressions are equal.
Expression
A combination of numbers, variables, and operations.
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Geometry: Area, Perimeter, and Volume