Home
#### Algebra and Pre-Algebra Lessons

Algebra 1 | Pre-Algebra | Practice Tests | Algebra Readiness Test
#### Algebra E-Course and Homework Information

Algebra E-course Info | Log In to Algebra E-course | Homework Calculator
#### Formulas and Cheat Sheets

Formulas | Algebra Cheat Sheets

Home » Pre-Algebra Equations » Open Sentences

# Open Sentences in Algebra

## Example 1

## Example 2

## More Pre-Algebra Equations and Inequalities Lessons

# Like This Page?

Yes, sentences are not only used in English class, but also in Math! In algebra a sentence contains numbers, variables, operations and either an equal sign (=) or an inequality symbol.

A sentence that contains an equal sign (=) is called an **equation**. If a sentence is not an equation, then it is an **inequality**. Take a look at the following mathematical symbols for their corresponding meanings:

An open sentence is a sentence that contains one or more variables that may be true or false depending on what values you substitute for the variables. For example:

As you discovered in the example above, the equations (open sentences with an equal sign) that we will study in this unit (linear equations) only have one solution, or one value for the variable that will make the sentence true.

Let's take a look at how you might find a solution for a sentence that is an equation (with an equal sign).

Ok, so that's not too hard. You need to have great mental math skills to find the solution to open sentences.

A sentence that is an inequality, may have many values for the variable that make the sentence true. Take a look:

As you can see, there are many solutions when working with inequalities. We can express all of these solutions by using the inequality symbol in our answer.

Let's take another look at how you might find a solution for an open sentence that is an inequality.

If your mental math skills are not up to par, then you may have trouble finding solutions for these math sentences. When you use integers in math sentences, then finding the solutions can be really tough. Therefore, our next set of lessons will focus on methods that are used to solve equations.

We will start with a lesson on solving addition equations.

- Lesson 1: Open Sentences
- Lesson 2: Addition Equations
- Lesson 3: Subtraction Equations
- Lesson 4: Multiplication Equations
- Lesson 5: Division Equations
- Lesson 6: One-Step Addition and Subtraction

Inequalities - Lesson 7: One-Step Multiplication and Division

Inequalities

Sign Up for Algebra Class E-courses

Click here to retrieve a lost password.

Custom Search

- FREE Solving Equations E-course
- Algebra Class E-course
- Algebra Class Products
- Algebra Practice Test
- Algebra Readiness Test
- Homework Answer Calculator
- Practice Worksheets

- Site Map
- Pre-algebra Refresher
- Solving Equations
- Graphing Equations
- Writing Equations
- Systems of Equations
- Inequalities
- Functions
- Exponents & Monomials
- Polynomials
- Quadratic Equations
- Algebra 1 Final Exam
- Square Roots and Radicals

- SAT Online Course
- Algebra Cheat Sheets - Very Popular!!
- Algebra Formulas
- Online Resources
- Contact Me
- I Want to Hear From You!
- Algebra Blog
- About Me

Copyright © 2009-2015 Karin Hutchinson ALL RIGHTS RESERVED

## Comments

We would love to hear what you have to say about this page!