**An expression is a number, a variable, or a combination of numbers and variables and operation symbols**. An equation is made up of two expressions connected by an equal sign.

## What are the difference between an algebraic expression and algebraic equation?

The difference is that **expressions do not include an equal sign and are basically mathematical “phrases.” Equations include an equal sign, and show equivalency between two mathematical expressions**. For example, 2x + b is an algebraic expression, but 2x + b = 14 is an algebraic equation.

## Is expression the same as equation?

An expression is a mathematical phrase that contains numbers, variables, or both. Expressions never have an equal sign. Here are some examples of expressions. **An equation is a mathematical sentence that says two expressions are equal.**

## What is not an algebraic equation?

An expression is a mathematical phrase that contains numbers, variables, or both. Expressions never have an equal sign. Here are some examples of expressions. **An equation is a mathematical sentence that says two expressions are equal.**

## What is an algebraic equation example?

algebraic equation, statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root. Examples are **x ^{3} + 1 and (y^{4}x^{2} + 2xy – y)/(x – 1) = 12**.

## How do you do algebraic expressions?

algebraic equation, statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root. Examples are **x ^{3} + 1 and (y^{4}x^{2} + 2xy – y)/(x – 1) = 12**.

## What are the similarities between expressions and equations?

Although expressions and equations look the similar because **they both have variable and numbers**. An equation gives you the answer and you had to solve to find value of the variable. For example , 15y+5=20. You can see that the expression gives you the variable.

## What is the difference between solving an equation and simplifying an expression?

Solving an equation means that we have to find the value of the variable, by using properties of real numbers and combining like terms, which make the equation true. Simplifying an algebraic expression means that we only need to reduce the expression by using properties of real numbers and combining like terms.

### References:

- https://www.math4texas.org/Page/527
- https://www.ixl.com/math/lessons/expressions-and-equations
- https://www.youtube.com/watch?v=jtMg0NEYz0s
- https://www.britannica.com/science/algebraic-equation
- https://www.youtube.com/watch?v=U-7nq7OG18s
- https://careccia-class-blog.weebly.com/blog/expressions-vs-equations
- https://quizlet.com/explanations/questions/what-is-the-difference-between-solving-an-equation-such-as-7dbacec0-54ec4780-908d-4991-8066-54876d56da70