Algebraic equations are mathematical expressions that contain one or more variables. The goal when working with algebraic equations is to find the value of the variable that makes the equation true. Equations are solved by performing operations to isolate the variable on one side of the equation.

There are different types of algebraic equations, including:

**Linear Equations:**Equations in which the highest power of the variable is 1. For example,*y = 2x + 3*.**Quadratic Equations:**Equations in which the highest power of the variable is 2. For example,*x^2 - 4x + 4 = 0*.**Exponential Equations:**Equations in which the variable appears as an exponent. For example,*3^x = 27*.

When solving algebraic equations, the goal is to isolate the variable on one side of the equation. This is done by performing the same operations on both sides of the equation to maintain balance. The basic operations used in solving equations are addition, subtraction, multiplication, division, and exponentiation.

Here are the steps to follow when solving algebraic equations:

**Identify the type of equation:**Determine whether the equation is linear, quadratic, exponential, or another type.**Isolate the variable:**Perform operations to get the variable alone on one side of the equation.**Check your solution:**Once you have found a value for the variable, substitute it back into the original equation to ensure that it satisfies the equation.

Practice solving equations of different types to become comfortable with the process. It's also important to understand the properties of equality and how they can be applied when solving equations.

Remember, the key to mastering algebraic equations is practice and understanding the fundamental concepts.

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.