Podcast
Questions and Answers
Which of the following expressions correctly simplifies: 5xy + 3yx - 2x + x?
Which of the following expressions correctly simplifies: 5xy + 3yx - 2x + x?
- 8xy - 3x
- 9xy - x
- 8xy - x (correct)
- 9xy - 3x
The expression 7a + 2b - 4a + b simplifies to 3a + 3b.
The expression 7a + 2b - 4a + b simplifies to 3a + 3b.
True (A)
Write a simplified algebraic expression for: 3 apples + 2 bananas + 5 apples - 1 banana.
Write a simplified algebraic expression for: 3 apples + 2 bananas + 5 apples - 1 banana.
8 apples + 1 banana
The like terms in the expression $4x^2 + 2x - x^2 + 5$ are $4x^2$ and ______.
The like terms in the expression $4x^2 + 2x - x^2 + 5$ are $4x^2$ and ______.
Match the following expressions with their simplified forms:
Match the following expressions with their simplified forms:
Which of the following statements is true regarding like terms?
Which of the following statements is true regarding like terms?
The expressions 4x + 2y and 6xy are equivalent because you can factor out a common factor.
The expressions 4x + 2y and 6xy are equivalent because you can factor out a common factor.
Simplify the expression 9abc - 4cba + 2bac.
Simplify the expression 9abc - 4cba + 2bac.
To justify if Alice's simplification is correct, one can substitute ______ values into the original and simplified expressions and compare the results.
To justify if Alice's simplification is correct, one can substitute ______ values into the original and simplified expressions and compare the results.
Which expression is equivalent to 5(x + y) - 2(x - y)?
Which expression is equivalent to 5(x + y) - 2(x - y)?
Flashcards
Like Terms
Like Terms
Terms that contain the same variables raised to the same powers. Only like terms can be combined using addition and subtraction.
Simplifying Expressions
Simplifying Expressions
To simplify an algebraic expression, combine like terms by adding or subtracting their coefficients.
Variable
Variable
A symbol (usually a letter) that represents a number.
Coefficient
Coefficient
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Algebraic Expression
Algebraic Expression
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Substitution
Substitution
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Study Notes
- The lesson focuses on simplifying algebraic expressions by adding and subtracting like terms.
Success Criteria
- Understand how to write algebraic expressions using variables.
- Identify like and unlike terms.
- Simplify expressions by collecting like terms using addition and subtraction.
- Use substitutions to verify the correctness of simplifications.
Warm Up Task
- Write expressions using pronumerals to represent statements and simplify them.
- Examples of statements to be converted and simplified:
- 2 birds + 3 cats + 1 bird + cat + 3 pigs
- 2 kilometres + 2 metres + 3 centimetres + 2 kilometres - 2 metres
- 4 days - 2 weeks + 3 hours + 10 weeks + 4 days
- 6 blue + 2 green - 1 blue + red + green + green + green
Task 1
- Identify and circle the like terms from a given list of terms.
Masterclass
- Like terms and unlike terms are explained.
- Focus on simplifying algebraic expressions through addition and subtraction.
Task 2
- Write three different algebraic expressions that all simplify to 8x-6.
Task 3
- Students choose one of three tasks: Main, Enabling, or Extending.
- The task involves identifying and correcting Alice's mistakes in simplifying algebraic expressions, using calculations to justify the answers.
Main Task
- Alice believes that 4a - 3b is equivalent to 1ab, which is incorrect.
- Justification required with calculations.
Enabling Task
- Alice believes that 2a + 3b is equivalent to 5ab, which is incorrect.
- Given a = 1 and b = 2, justify the answer with calculations.
Extending Task
- Alice believes that 2x+3xy-2yx+3x=6x-5xy, which is incorrect.
- Given x=3 and y=-2, justify the answer with calculations.
Consolidation
- Indicate the pathway completed (Practice, Consolidate, or Master).
- Paste a full summary of the completed pathway.
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Description
Learn how to simplify algebraic expressions by identifying and combining like terms through addition and subtraction. Verify simplifications using substitutions. Practice with real-world examples and abstract algebraic terms.
