Math Problem Statement
Solution
It appears that the image you've uploaded contains a worksheet about simplifying algebraic expressions by combining like terms. I'll extract and explain the key elements from the image for you:
Key Concepts from the Worksheet:
-
Terms:
- Definition: Quantities that you add together to form an algebraic expression are called terms.
- Example: The expression
4n + 6b - 8
consists of three terms: , , and .
-
Like Terms:
- Definition: Terms with the same variable raised to the same power.
- Properties: You can add or subtract like terms.
- Example of Combining: If you have , you can combine them to get , since both terms involve .
-
Combining Like Terms:
- You can combine terms using addition and subtraction, following the addition rules (commutative and associative).
- Example: In the expression , combine the -terms to get .
-
Unlike Terms:
- Definition: Terms whose variables are not the same or are raised to different powers.
- Properties: You cannot add or subtract unlike terms.
- Example: You cannot combine and because they have different variables.
Would you like further details on any of these points or some related examples? Here are five related questions you could explore next:
- How do you simplify an expression like ?
- What are the rules for combining like terms with exponents?
- How do you deal with negative signs when combining terms?
- Can terms like and be combined? Why or why not?
- How do distributive property and like terms interact in simplifying expressions?
Tip: Always group like terms first before simplifying any algebraic expression to avoid confusion.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Like terms
Combining like terms
Simplifying expressions
Formulas
Expression with like terms: 4n + 6n = 10n
Expression with unlike terms: 4n + 6b (cannot be combined)
Theorems
Addition and subtraction of like terms
Distributive property
Suitable Grade Level
Grades 6-8