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Questions and Answers
What is the simplified form of (5(7y+2))?
What is the simplified form of (5(7y+2))?
The simplified form is (35y+10).
How do you simplify the expression (5(7y+2))?
How do you simplify the expression (5(7y+2))?
Multiply 5 by each term inside the parentheses.
What property is used in the simplification process?
What property is used in the simplification process?
The distributive property is used.
How can the distributive property be written?
How can the distributive property be written?
How is division indicated in algebra?
How is division indicated in algebra?
How can the distributive property be applied to simplify the expression $5(7y+2)$?
How can the distributive property be applied to simplify the expression $5(7y+2)$?
What is the result of simplifying the expression $5(7y+2)$ using the distributive property?
What is the result of simplifying the expression $5(7y+2)$ using the distributive property?
What property is used in the simplification process of $5(7y+2)$?
What property is used in the simplification process of $5(7y+2)$?
What is the coefficient of the term $y$ in the simplified expression $35y+10$?
What is the coefficient of the term $y$ in the simplified expression $35y+10$?
What is the constant term in the simplified expression $35y+10$?
What is the constant term in the simplified expression $35y+10$?
Flashcards
Simplify 5(7y+2)
Simplify 5(7y+2)
Multiply 5 by each term inside the parentheses (7y and 2) to get 35y + 10
Distributive Property
Distributive Property
A property that allows you to multiply a number by a sum (or difference) by multiplying the number by each term inside the parentheses and then adding the results
Distributive Property Equation
Distributive Property Equation
The distributive property is represented as (b + c)a = ba + ca
Division in Algebra
Division in Algebra
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Simplify 5(7y+2)
Simplify 5(7y+2)
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Distributive Property Application
Distributive Property Application
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Simplified Expression 5(7y+2)
Simplified Expression 5(7y+2)
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Property of 5(7y+2)
Property of 5(7y+2)
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Coefficient of 'y'
Coefficient of 'y'
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Constant Term (35y+10)
Constant Term (35y+10)
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Study Notes
Simplifying Expressions using the Distributive Property
- The distributive property is used to simplify expressions, allowing us to multiply a single value to multiple terms inside a parenthesis.
- The distributive property can be written as: a(b + c) = ab + ac, where a is the multiplier, and b and c are the terms being multiplied.
- In algebra, division is often indicated by a forward slash (/) or a horizontal line (e.g. 5/7 or 5⁄7).
- To simplify an expression like 5(7y + 2), we apply the distributive property by multiplying the 5 to each term inside the parentheses, resulting in: 5(7y) + 5(2) = 35y + 10.
- The distributive property is used in the simplification process of 5(7y + 2).
- The coefficient of the term y in the simplified expression 35y + 10 is 35.
- The constant term in the simplified expression 35y + 10 is 10.
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Description
Test your skills in simplifying algebraic expressions with this quiz. Practice simplifying expressions by multiplying and combining like terms. Challenge yourself with various examples and improve your algebraic simplification abilities.
