Simplifying Expressions with the Distributive Property

This video tutorial by Mr. Jay introduces the distributive property, a key concept in algebra that helps simplify expressions by removing parentheses. The video covers several examples, starting with basic arithmetic and progressing to more complex algebraic expressions, including handling subtraction and negative numbers. Each example demonstrates how the distributive property maintains the value of expressions, providing a clear understanding of its application. The tutorial concludes with a summary and a link to further examples.

What does the distributive property allow us to do in algebraic expressions?

• Combine like terms inside parentheses

• Remove parentheses by distributing multiplication over addition or subtraction

• Solve equations with multiple variables

• Factor polynomials

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What is the result of applying the distributive property to 2(5 + 3)?

• 26

• 10

• 13

• 16

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What is the purpose of the distributive property in algebra?

• To graph linear equations

• To simplify expressions by removing parentheses

• To solve quadratic equations

• To find the least common denominator

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How do we simplify the expression 8(2m + 6) using the distributive property?

• 16m + 14

• 8m + 14

• 10m + 14

• 16m + 48

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What is the result of using the distributive property on the expression 8(2m + 6)?

• 10m + 14

• 16m + 14

• 16m + 48

• 24m + 6

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What does 7(a - 9) simplify to using the distributive property?

• 7a + 63

• 14a - 9

• 7a - 63

• 7a - 9

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How can we think of subtraction when using the distributive property?

• Ignoring the subtraction sign

• As adding a negative number

• Multiplying by -1

• Leaving the expression as is

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In the expression 7(a - 9), how is the subtraction sign treated when using the distributive property?

• Ignored completely

• As addition of a negative number

• As addition of a positive number

• As division

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What is the simplified form of 10(-5x - 4y) using the distributive property?

• 50x - 40y

• -50x + 40y

• 50x + 40y

• -50x - 40y

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When simplifying 10(-5x - 4y), why can't we combine the terms after distributing?

• Because they are both positive

• Because they are unlike terms

• Because they are like terms

• Because they cancel each other out