Operation Properties of Equality
Operation Properties of Equality is a skill on Pengi from Lesson 38: Using Properties of Equality to Solve Equations in Saxon Math, Course 3.
Key Concepts
Property If $a = b$, you can perform the same operation on both sides and the equation remains true. Addition: $a + c = b + c$. Subtraction: $a c = b c$. Multiplication: $ac = bc$. Division: $\frac{a}{c} = \frac{b}{c}$ (as long as $c$ is not 0).
Examples Given $y 6 = 11$, use the Addition Property: $y 6 + 6 = 11 + 6$, so $y = 17$. Given $4p = 24$, use the Division Property: $\frac{4p}{4} = \frac{24}{4}$, so $p = 6$. A pack of 5 markers costs 10 dollars. To find the cost per marker ($c$), solve $5c = 10$. Use Division: $\frac{5c}{5} = \frac{10}{5}$, so $c = 2$ dollars.
Explanation Imagine an equation is a perfectly balanced seesaw. If you add a brick to one side, you must add an identical brick to the other side to keep it from tipping over! This simple rule lets you manipulate equations to solve for the variable while keeping everything fair and equal.
Common Questions
What is Operation Properties of Equality?
Operation Properties of Equality is a skill on Pengi from Lesson 38: Using Properties of Equality to Solve Equations in Saxon Math, Course 3.
What grade level is Operation Properties of Equality for?
Operation Properties of Equality is part of the Grade 8 Math curriculum, covered in Saxon Math, Course 3. It is designed for students studying Math at the Grade 8 level.
How can I learn Operation Properties of Equality?
Pengi offers an AI-guided lesson for Operation Properties of Equality that walks you through the key concepts step by step. The lesson is aligned to Saxon Math, Course 3 so the content matches what you see in class.
How do I practice Operation Properties of Equality?
After learning the concept, use the Practice mode to work through targeted exercises on Operation Properties of Equality. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.
Which textbook covers Operation Properties of Equality?
Operation Properties of Equality is covered in Saxon Math, Course 3, specifically in Chapter 4: Algebra • Measurement under Lesson 38: Using Properties of Equality to Solve Equations. Pengi's lesson is aligned directly to this textbook so you can follow along with your class.
Is Operation Properties of Equality free to study on Pengi?
Yes, the core Learn and Practice modes for Operation Properties of Equality are available for free on Pengi. No credit card is required to start studying.