Properties of Equality and Algebraic Proofs Worksheet (2024)

Attention Math Teachers! This Properties of Equality Worksheet is the perfect Math worksheet to help your students understand Properties of Equality and algebraic proofs. This two-sided worksheet challenges students to identify Properties of Equality (Properties of Real Numbers) and state reasons for an algebraic proof using a fun hot dog eating contest puzzle activity. The focus is on understanding solving equations as a process of reasoning and explaining the reasoning.

This worksheet is suitable for Algebra 1 or Geometry classes and can be used as homework or as a classwork activity. Plus, we've included an easy-to-use key to save you time.

Don't miss out on this valuable Math worksheet! Download our Properties of Equality Worksheet today and give your students the skills they need to succeed in Math.


You will have two convenient formats for this activity, so you can choose the one that best suits your needs and teaching style.

The first format is a PDF that can be printed and used as a worksheet in the classroom. The two-sided printout includes a key, making it easy for you to grade and provide feedback to your students.

The second format is an Easel Activity, which allows you to assign the activity online for your students to complete on their own devices. This option is perfect for distance learning or for assigning homework. Simply assign the activity through your school's learning platform, including Google Classroom and Schoology. Your students will be able to complete the activity online and submit their answers for grading.

So whether you prefer a traditional printed worksheet or an online activity, I've got you covered. Choose the format that works best for you and give your students the tools they need to succeed in math!

In order to provide the best possible learning experience for your students, I've included a QR code link to a video that I created to assist with using this worksheet. While the video is not professionally produced, it can be an incredibly helpful tool for students who are learning remotely, were absent during the activity, or are homeschooling. Additionally, it can serve as a substitute lesson plan in case of unexpected absences or classroom disruptions.

The video includes several examples and provides step-by-step instructions that can help students complete the activity successfully. By offering this additional resource, we hope to provide your students with the support they need to master the concepts covered in the worksheet.

Aligned with common core standards Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. Students will complete an algebraic proof of solving a linear equation. Students will construct a viable argument to justify a solution method. Florida's B.E.S.T. standards. The properties of equality apply to the rational number system, the real number system and the complex number system.

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Mr. Slope Guy

"This resource was extremely useful for my students to understand the format that their algebraic proofs (and soon their geometric proofs) need to be written. It was also a nice review over the equality properties so students could justify why the equation remained balanced after each step."

"Engaging activity and user friendly. I used it as a formative assessment with my geometry students. Easy to grade. Thanks."

"This was a good purchase. There is a lot of information on this piece of paper! The students found the matching portion to be quite thought-provoking . . . it was challenging, but doable! Would definitely purchase again."

LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable, meaning they cannot be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. If you have any questions, please contact me at MrSlopeGuy@gmail.com.

COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

Properties of Equality and Algebraic Proofs Worksheet (2024)
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