Common Core: 7th Grade Math

Explore the foundational concepts of mathematics through engaging problem-solving and real-world applications in 7th grade.

Ratios and Proportional RelationshipsOperations with Rational NumbersExpressions, Equations, and Inequalities
Proportional Relationships in GraphsSolving Multi-Step EquationsProbability and Statistics
Fractions, Decimals, and Percents in Real LifeUsing Math to Budget and SaveApplying Proportional Reasoning to Maps and Models
Breaking Down Word ProblemsChecking Your Work and Estimating
Ratios and Proportio...Operations with Rati...Expressions, Equatio...Proportional Relatio...Solving Multi-Step E...Probability and Stat...Fractions, Decimals,...Using Math to Budget...Applying Proportiona...Breaking Down Word P...Checking Your Work a...
Advanced Topics

Solving Multi-Step Equations

Breaking Down the Problem

Multi-step equations require several operations to find the variable. These equations might involve distributing, combining like terms, and working with negative numbers.

The Order of Steps

Always reverse the operations in the order of PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).

Real-Life Problem Solving

Solving multi-step equations helps you manage budgets, plan projects, and solve puzzles with more than one condition.

Examples

  • Solving: \( 3(x-2) + 4 = 13 \) — First distribute, then isolate \( x \).

  • Solving: \( 2x + 5 = 3x - 7 \) — Move variables to one side and constants to the other.

In a Nutshell

Learn to solve equations that need more than one mathematical operation.

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Probability and Statistics