Questions and Answers
What is 0.8y - 0.7y?
0.1y
What is 1.6y - 0.8y?
0.8y
What is 7/8y - 5/8y?
1/4y
What is 5/3y - 1/6y?
Signup and view all the answers
What is 3/4y - 2/3y?
Signup and view all the answers
What is 4/5y - 1/3y?
Signup and view all the answers
What is 4y - y?
Signup and view all the answers
What is 7/8y - 1/8y - 5?
Signup and view all the answers
What is 1/2y + 2/3y - 1/6y?
Signup and view all the answers
What is 8y + 4 - 6y?
Signup and view all the answers
What is 1.8y - 0.6 - 0.7y?
Signup and view all the answers
What is 2x + 4x + 7y?
Signup and view all the answers
What is 8x - 7x - 6y?
Signup and view all the answers
What is 5x + 3y - x?
Signup and view all the answers
What is 2/3x - 1/6x + 3/5y - 3/10y?
Signup and view all the answers
What is 2.3x - 2.7y - 1.8x + 3.5y?
Signup and view all the answers
What is an algebraic expression?
Signup and view all the answers
What is an algebraic equation?
Signup and view all the answers
What is a variable?
Signup and view all the answers
What are terms?
Signup and view all the answers
What are like terms?
Signup and view all the answers
What does combining like terms mean?
Signup and view all the answers
What does it mean to simplify an expression?
Signup and view all the answers
What is a coefficient?
Signup and view all the answers
What is a constant?
Signup and view all the answers
Study Notes
Combining Like Terms
- Combining like terms involves adding or subtracting coefficients of terms with the same variable.
- Example: 0.8y - 0.7y simplifies to 0.1y.
Simplifying Expressions
- When simplifying, group like terms.
- Example: 1.6y - 0.8y results in 0.8y.
Fractional Coefficients
- Like terms can also be expressed as fractions.
- Example: 7/8y - 5/8y simplifies to 1/4y.
Mixed Operations
- Combining terms with different coefficients can also include constants.
- Example: 7/8y - 1/8y - 5 simplifies to 3/4y - 5.
Algebraic Expressions vs Equations
- Algebraic expressions have no equal sign and can be simplified.
- Algebraic equations contain an equal sign and can be solved for a variable.
Role of Variables
- Variables represent unknown numbers and can be expressed as letters or symbols.
- Example: In the expression 2x + 4x + 7y, x and y are variables.
Understanding Terms and Like Terms
- Terms are components of an expression separated by operations.
- Like terms share the same variable raised to the same power; constants are also considered as like terms.
Process of Combining Like Terms
- When simplifying, combine like terms by adding or subtracting their coefficients.
- Example: 5x + 3y - x simplifies to 4x + 3y.
Importance of Simplification
- Simplification aids in making expressions easier to work with and can help solve equations more effectively.
- Example: The expression 2.3x - 2.7y - 1.8x + 3.5y simplifies to 0.5x + 0.8y.
Coefficients and Constants
- Coefficient: The numerical factor in front of a variable (e.g., in 3y, 3 is the coefficient).
- Constant: A standalone number without a variable (e.g., in 5, it's a constant).
Definition Recap
- Combining like terms results in a simpler expression by merging terms with the same variable.
- Simplifying expressions should conclude when no further consolidation is possible.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Enhance your understanding of combining like terms in Pre-Algebra with this set of flashcards. Each card presents an expression to simplify and its simplified form for effective learning. Perfect for mastering the basics of algebraic terms.