Algebraic Expression Simplification Quiz

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Questions and Answers

What is the simplified form of (5(7y+2))?

The simplified form is (35y+10).

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?

The distributive property is used.

How can the distributive property be written?

<p>It can be written as ((b+c)a = ba+ca).</p> Signup and view all the answers

How is division indicated in algebra?

<p>Division is often indicated using the fraction bar instead of the symbol (÷).</p> Signup and view all the answers

How can the distributive property be applied to simplify the expression $5(7y+2)$?

<p>By multiplying 5 with each term inside the parentheses.</p> Signup and view all the answers

What is the result of simplifying the expression $5(7y+2)$ using the distributive property?

<p>$35y+10$</p> Signup and view all the answers

What property is used in the simplification process of $5(7y+2)$?

<p>The distributive property.</p> Signup and view all the answers

What is the coefficient of the term $y$ in the simplified expression $35y+10$?

<p>35</p> Signup and view all the answers

What is the constant term in the simplified expression $35y+10$?

<p>10</p> Signup and view all the answers

Flashcards

Simplify 5(7y+2)

Multiply 5 by each term inside the parentheses (7y and 2) to get 35y + 10

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

The distributive property is represented as (b + c)a = ba + ca

Division in Algebra

Often expressed using a fraction bar (numerator/denominator) instead of the division symbol (÷)

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Simplify 5(7y+2)

Applying the distributive property, we get 35y + 10.

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Distributive Property Application

Distributing a number to each term inside parenthesis in an expression

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Simplified Expression 5(7y+2)

The expression 35y + 10 after applying the distributive property.

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Property of 5(7y+2)

The distributive property.

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Coefficient of 'y'

The number multiplying the variable 'y' in an expression.

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Constant Term (35y+10)

The term in an expression that doesnt have a variable.

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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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