7th Grade Math

Pre-algebra concepts, geometry, and statistical thinking for seventh grade students.

Integers and Rational NumbersExpressions, Equations, and InequalitiesRatios, Rates, and Proportional Relationships
Geometry: Area, Volume, and Surface AreaStatistics: Collecting and Analyzing DataProbability and Predictions
Budgeting and Money MathGeometry in Home DesignUsing Statistics in Sports
Problem-Solving StepsChecking Your Work
Integers and Rationa...Expressions, Equatio...Ratios, Rates, and P...Geometry: Area, Volu...Statistics: Collecti...Probability and Pred...Budgeting and Money ...Geometry in Home Des...Using Statistics in ...Problem-Solving Step...Checking Your Work
Basic Concepts

Expressions, Equations, and Inequalities

Building and Solving

Mathematical expressions combine numbers, variables, and operations (like \( 3x + 2 \)). An equation is a statement that two expressions are equal, and an inequality shows one side is greater or less than the other.

Solving Equations

To solve \( x + 5 = 12 \), subtract 5 from both sides to get \( x = 7 \). Balance is key!

Graphing Inequalities

Use number lines to show solutions. For \( x > 3 \), shade all numbers to the right of 3.

Applications

Equations and inequalities help with budgeting, planning events, and comparing options.

Why Does It Matter?

Understanding equations helps you solve puzzles and real-world problems.

Examples

  • If you have $20 and want to buy games that cost $x each, then \( 3x \leq 20 \) helps you decide how many you can buy.

  • Solving \( 2y = 14 \) gives \( y = 7 \).

In a Nutshell

Expressions, equations, and inequalities are tools to represent and solve problems.

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Ratios, Rates, and Proportional Relationships