Adding and Subtracting Like Terms
Adding and Subtracting Like Terms is a skill on Pengi from Lesson 5: Like Terms in Yoshiwara Elementary Algebra.
Key Concepts
Property To add like terms: Add the numerical coefficients of the terms. Do not change the variable factors of the terms. To subtract like terms: Subtract the numerical coefficients of the terms. Do not change the variable factors of the terms. Replacing an expression by a simpler equivalent one is called simplifying the expression.
Examples To simplify $7b + 4b$, we add the coefficients: $(7+4)b = 11b$. We have combined the like terms into a single, simpler term. To simplify $12k ( 3k)$, we subtract the coefficients: $(12 ( 3))k = (12+3)k = 15k$. The variable factor $k$ remains unchanged. We cannot simplify $8p + 5q$ because $8p$ and $5q$ are not like terms. Their variable factors are different.
Explanation When combining like terms, you only perform the operation on their coefficients. The variable part just tells you what 'family' of terms you're counting. It's like adding 4 apples and 5 apples to get 9 apples.
Common Questions
What is Adding and Subtracting Like Terms?
Adding and Subtracting Like Terms is a skill on Pengi from Lesson 5: Like Terms in Yoshiwara Elementary Algebra.
What grade level is Adding and Subtracting Like Terms for?
Adding and Subtracting Like Terms is part of the Grade 6 Math curriculum, covered in Yoshiwara Elementary Algebra. It is designed for students studying Math at the Grade 6 level.
How can I learn Adding and Subtracting Like Terms?
Pengi offers an AI-guided lesson for Adding and Subtracting Like Terms that walks you through the key concepts step by step. The lesson is aligned to Yoshiwara Elementary Algebra so the content matches what you see in class.
How do I practice Adding and Subtracting Like Terms?
After learning the concept, use the Practice mode to work through targeted exercises on Adding and Subtracting Like Terms. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.
Which textbook covers Adding and Subtracting Like Terms?
Adding and Subtracting Like Terms is covered in Yoshiwara Elementary Algebra, specifically in Chapter 2: Linear Equations under Lesson 5: Like Terms. Pengi's lesson is aligned directly to this textbook so you can follow along with your class.
Is Adding and Subtracting Like Terms free to study on Pengi?
Yes, the core Learn and Practice modes for Adding and Subtracting Like Terms are available for free on Pengi. No credit card is required to start studying.