Questions and Answers
What is the result of 3(x + 7)?
3x + 21
41 15 = 15 41 demonstrates the Commutative Property.
True
What is the simplified form of 5x + 3y + 7x?
12x + 3y
The Associative Property can be expressed as (a ______) c = a (b ______).
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What is 81x - 10x simplified?
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18 1 = 18 demonstrates the Identity Property.
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Study Notes
Algebraic Expressions
- The expression 3(x + 7) simplifies to 3x + 21 through distribution.
- The Commutative Property asserts that the order of addition or multiplication does not affect the sum or product, shown as 41 + 15 = 15 + 41.
- Combining like terms in the expression 5x + 3y + 7x results in 12x + 3y.
Properties of Operations
- The Associative Property indicates that the grouping of numbers does not change their sum or product, represented as (a + b) + c = a + (b + c).
- The expression 81x - 10x simplifies to 71x by combining like terms.
- The Identity Property states that any number added to zero or multiplied by one remains unchanged, e.g., 18 + 0 = 18 and 18 × 1 = 18.
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Test your understanding of algebraic expressions with these engaging flashcards. Each card presents a mathematical expression along with its simplified form or related property. Perfect for students looking to enhance their algebra skills.
