# data[].attributes.body
Start with the basics! An equation is like a math sentence showing that two expressions are equal. Think of it as a balance scale - what you do to one side, you must do to the other to keep it balanced. Share this concept with your students using simple examples like 3 + x = 8.

# data[].attributes.body
Before diving into solving equations, make sure your students understand these key properties:
- Addition Property of Equality
- Subtraction Property of Equality
- Multiplication Property of Equality
- Division Property of Equality
These are our tools for solving!

Remember the goal is to isolate the variable!

# data[].attributes.attachment_link.title
Solving Two-Step Equations | Algebra Equations

# data[].attributes.body
Khan Academy offers excellent practice problems and video tutorials for equation solving. Have students work through the 'Solving Basic Equations' module for homework or extra practice.

# data[].attributes.attachment_link.readable_text
If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

1,100 possible mastery points

About this unit

There are lots of strategies we can use to solve equations. Let's explore some different ways to solve equations and inequalities. We'll also see what it takes for an equation to have no solution, or infinite solutions.

# data[].attributes.attachment_link.title
Solving equations & inequalities | Algebra 1 | Math | Khan Academy

# data[].attributes.attachment_link.description
There are lots of strategies we can use to solve equations. Let's explore some different ways to solve equations and inequalities. We'll also see what it takes for an equation to have no solution, or infinite solutions.

# data[].attributes.body
Try this engaging Desmos activity with your class! Students can visualize equations and their solutions through interactive graphs and challenges. Perfect for distance learning or in-class exploration.

# data[].attributes.attachment_link.description
In this activity, students determine which value of a variable will balance a hanger. It includes one- and two-step equations. Students also have the opportunity to draw their own hangers, and determine what equation is represented by each hanger. This activity was inspired by, and the screens were adapted from, Nathan Kraft's One-Step Equations: Balancing the Hanger.

# data[].attributes.body
5 Steps to Solve!
1. Identify the variable
2. Get variable terms on one side
3. Get constant terms on the other side
4. Perform inverse operations
5. Check your answer
Provide plenty of examples and have students explain each step!

# data[].attributes.body
Student misconcpetions/mistakes

Forgets to perform operations on both sides

Forgot to do opposite sign when undoing addition and subtraction

Double check division! Don't change the sign!

# data[].attributes.body
There are several exit ticket templates attached to choose from! Have students solve two equations and explain their steps in writing. This helps check both procedural and conceptual understanding.

Ex 1: Solve 2x + 6 = 21 and explain each step.

Ex 2: Troy needs to earn $40 to pay for a new phone case. His grandma gave him $20 for his birthday, and he earns $5 for every chore that he completes at home. How many chores does Troy need to complete to have enough money? Explain your answer in words.

# data[].attributes.headline
GADOE Task: Classifications of Solutions

# data[].attributes.subject
GADOE Task: Classifications of Solutions

# data[].attributes.body
This lesson is intended to help you assess how well students can solve linear equations in one variable with rational number coefficients and simplify expressions through combining like terms and the distributive property. Students will also get an opportunity to categorize linear equations in one variable as having one, none, or infinitely many solutions.

# data[].attributes.headline
8.PAR.3.3 Create and solve linear equations and inequalities in one variable within a relevant, real-life application.  

# data[].attributes.subject
8.PAR.3.3 Create and solve linear equations and inequalities in one variable within a relevant, real-life application.  

# data[].attributes.body
8.PAR.3.4 Using algebraic properties and the properties of real numbers, justify the steps of a one-solution equation or inequality.

8.PAR.3.5 Solve linear equations and inequalities in one variable with coefficients represented by letters and explain the solution

based on the contextual, mathematical situation.

# data[].attributes.body
The student will be able to solve linear equations for a single variable.

The student will be able to use inverse operations such as addition undoes subtraction to solve equations.

The student will be able to explain the solution in context of the problem such as x =20 means the student will have $20 left.

# data[].attributes.body
Do you have a student struggling? Try using these tools and some manipulatives to help!

# data[].attributes.attachment_link.description
A beautiful, free online scientific calculator with advanced features for evaluating percentages, fractions, exponential functions, logarithms, trigonometry, statistics, and more.

# data[].attributes.body
Unsure you solved a problem correct? Check your answer!

# data[].attributes.attachment_link.description
Free math problem solver answers your algebra homework questions with step-by-step explanations.

# data[].attributes.body
Algebra problem solver. Mathway. (n.d.). https://www.mathway.com/

Exit ticket templates. Model Teaching. (2023, December 18). https://www.modelteaching.com/education-resource-item/listing/exit-ticket-templates

Instructional routines for mathematics intervention. Instructional Routines for Mathematics Intervention | Texas SPED Support. (n.d.).

https://spedsupport.tea.texas.gov/resource-library/instructional-routines-mathematics-intervention

Khan Academy. (n.d.). Khan Academy. https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities

Math-6-8 &nbsp; // . Internal Support. (n.d.). https://www.georgiastandards.org/Georgia-Standards/Pages/Math-6-8.aspx

Scientific calculator. Desmos. (n.d.). https://www.desmos.com/scientific

Solving equations. Desmos Classroom Activities. (n.d.). https://teacher.desmos.com/activitybuilder/custom/5ebd8d4ffe18b9720b1f949e

Solving equations jeopardy review. Solving Equations Jeopardy Review Jeopardy Template. (n.d.). https://jeopardylabs.com/play/solving-equations-jeopardy-review

YouTube. (n.d.). https://youtu.be/AP5MbH88cdo?si=1ZiWzPsLw0LZkEAm

YouTube. (n.d.-a). https://youtu.be/2C3jFzVlky8?si=OHhkSLR7RnPoLltF

# data[].attributes.body
Just a fun hook!

# data[].attributes.attachment_link.title
Two Step Equations Song - A parody of Country Roads Take me Home by John Denver