Equality refers to the state of being equal, especially in status, rights, and opportunities. In mathematics, equality is a relationship between two expressions that represent the same value. The symbol "=" is used to indicate equality.

There are two main types of equality in mathematics:

**Numerical Equality:**This type of equality refers to the equality of two numerical values, such as 4 = 2 + 2.**Variable Equality:**In this type, variables are used to represent unknown values, and equations are used to show the equality of two expressions, such as x + 3 = 7.

When working with equations, it's important to understand the properties of equality:

**Reflexive Property:**For any number a, a = a.**Symmetric Property:**If a = b, then b = a.**Transitive Property:**If a = b and b = c, then a = c.**Addition Property of Equality:**If a = b, then a + c = b + c.**Subtraction Property of Equality:**If a = b, then a - c = b - c.**Multiplication Property of Equality:**If a = b, then a * c = b * c (c ≠ 0).**Division Property of Equality:**If a = b, then a / c = b / c (c ≠ 0).

Here are some key points to remember when studying equality:

- Understand the concept of equality as a relationship between two expressions that represent the same value.
- Learn the different types of equality, including numerical equality and variable equality.
- Memorize the properties of equality and understand how they are used to manipulate equations.
- Practice solving equations to reinforce your understanding of equality and its properties.

By mastering the concept of equality and its properties, you will be able to solve various mathematical problems involving equations and expressions.

Study GuideAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations

Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations

Grade 6 Curriculum Focal Points (NCTM)

Algebra: Writing, interpreting, and using mathematical expressions and equations

Students write mathematical expressions and equations that correspond to given situations, they evaluate expressions, and they use expressions and formulas to solve problems. They understand that variables represent numbers whose exact values are not yet specified, and they use variables appropriately. Students understand that expressions in different forms can be equivalent, and they can rewrite an expression to represent a quantity in a different way (e.g., to make it more compact or to feature different information). Students know that the solutions of an equation are the values of the variables that make the equation true. They solve simple one-step equations by using number sense, properties of operations, and the idea of maintaining equality on both sides of an equation. They construct and analyze tables (e.g., to show quantities that are in equivalent ratios), and they use equations to describe simple relationships (such as 3x = y) shown in a table.