It looks like you're looking for practice related to algebraic expressions, specifically from a unit and lesson within a curriculum, potentially from an educational platform like Eureka Math or EngageNY. While I don't have access to specific lesson content, I can help you with general algebraic expression practice problems and concepts that might be covered in such a lesson. Here are some practice problems and explanations that could be relevant to this topic:
Algebraic Expressions Practice Problems:
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Simplify the expression: \[ 3x + 5x - 2 + 4 \]
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Combine like terms: \[ 7a - 3b + 2a + 10 - 5b \]
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Evaluate the expression when \( x = 3 \): \[ 2x^2 - 4x + 7 \]
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Expand the expression: \[ (x + 3)(x - 2) \]
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Factor the following expression: \[ x^2 + 5x + 6 \]
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Write an algebraic expression for the following scenario: "Three times a number decreased by four."
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If \( y = 2x + 1 \), find y when \( x = 4 \).
Answers and Explanations:
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Simplify: \[ 3x + 5x - 2 + 4 = 8x + 2 \]
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Combine like terms: \[ 7a + 2a - 3b - 5b + 10 = 9a - 8b + 10 \]
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Evaluate: \[ 2(3)^2 - 4(3) + 7 = 2(9) - 12 + 7 = 18 - 12 + 7 = 13 \]
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Expand: \[ (x + 3)(x - 2) = x^2 - 2x + 3x - 6 = x^2 + x - 6 \]
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Factor: \[ x^2 + 5x + 6 = (x + 2)(x + 3) \]
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Algebraic expression: If we let the unknown number be \( n \), then the expression is: \[ 3n - 4 \]
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Find y: \[ y = 2(4) + 1 = 8 + 1 = 9 \]
Tips for Working with Algebraic Expressions:
- Combine like terms by grouping similar variables together.
- Use distributive property to expand and factor expressions.
- Evaluate expressions by substituting given values for variables and calculating.
- Practice writing expressions for word problems to reinforce the relationship between algebra and real-life situations.
Feel free to ask for more practice problems or explanations on specific topics within algebraic expressions!
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