Common Core: 7th Grade Math

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

Basic Concepts

Expressions, Equations, and Inequalities

Expressions

An expression is a math phrase that can have numbers, variables, and operators, but no equals sign. For example, \( 3x + 5 \).

Equations

Equations are like math sentences showing that two expressions are equal. Solving equations means finding the value for the variable that makes the equation true.

Inequalities

Inequalities compare two expressions and show if one is greater, less, or not equal to the other. You use symbols like \( >, <, \geq, \leq \).

Everyday Uses

You use equations and inequalities to figure out how many chores you need to do to earn enough allowance, or to compare prices when shopping.

Examples

  • \( 2x + 4 = 10 \) — To solve, subtract 4 from both sides and then divide by 2.

  • \( x + 3 < 7 \) — To solve, subtract 3 from both sides to get \( x < 4 \).

In a Nutshell

Understand and solve different types of math statements: expressions, equations, and inequalities.