Using Inverse Operations
Using Inverse Operations is a skill on Pengi from Lesson 38: Using Properties of Equality to Solve Equations in Saxon Math, Course 3.
Key Concepts
Property Inverse operations are operations that 'undo' each other. Addition and subtraction are inverses ($n + 5 5 = n$), and multiplication and division are inverses ($n \times 5 \div 5 = n$).
Examples To solve $x + 8 = 15$, use the inverse of addition. Subtract 8 from both sides: $x + 8 8 = 15 8$, so $x = 7$. To solve $3m = 21$, use the inverse of multiplication. Divide both sides by 3: $\frac{3m}{3} = \frac{21}{3}$, so $m = 7$.
Explanation Think of an equation as a balance scale. To find the unknown 'x', you undo whatever operation is with it. Just do the same to both sides to keep it perfectly balanced and find your answer! This process is called isolating the variable, which means getting it all alone on one side.
Common Questions
What is Using Inverse Operations?
Using Inverse Operations is a skill on Pengi from Lesson 38: Using Properties of Equality to Solve Equations in Saxon Math, Course 3.
What grade level is Using Inverse Operations for?
Using Inverse Operations 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 Using Inverse Operations?
Pengi offers an AI-guided lesson for Using Inverse Operations 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 Using Inverse Operations?
After learning the concept, use the Practice mode to work through targeted exercises on Using Inverse Operations. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.
Which textbook covers Using Inverse Operations?
Using Inverse Operations 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 Using Inverse Operations free to study on Pengi?
Yes, the core Learn and Practice modes for Using Inverse Operations are available for free on Pengi. No credit card is required to start studying.