Questions and Answers
What is the Distributive Property?
When you multiply a number on the outside of the parentheses to the numbers on the inside of the parentheses.
What is a constant?
A value that does not change.
What is a variable?
A value that can change.
What is the result of 2(3 + 4)?
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What is the result of 2(3x + 4)?
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What is the result of (2x + 3y)(-4)?
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What is the result of 1x(1x + 3y)?
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What is the result of -6x(2y - 4)?
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Study Notes
Distributive Property
- The Distributive Property involves multiplying a number outside parentheses by each term inside the parentheses.
- It is a fundamental property in algebra that allows for the simplification of expressions.
Key Terms
- Constant: A fixed value that does not change, such as numbers like 2, -3, or 10.
- Variable: A symbol or letter used to represent a number that can vary, such as x or y.
Examples of Distributive Property
- 2 (3 + 4): Applying the Distributive Property gives (2 \times 3 + 2 \times 4 = 6 + 8 = 14).
- 2 (3x + 4): Distributing 2 results in (2 \times 3x + 2 \times 4 = 6x + 8).
- (2x + 3y) (-4): Multiplying each term by -4 results in (-4 \times 2x + -4 \times 3y = -8x - 12y).
Further Applications
- 1x (1x + 3y): Distributing results in (1x \times 1x + 1x \times 3y = 1x^2 + 3xy).
- -6x (2y - 4): Distributing yields (-6x \times 2y + -6x \times -4 = -12xy + 24x).
Summary
- The Distributive Property is essential in algebra for simplifying expressions and solving equations. Understanding constants and variables is crucial in applying this property effectively.
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Description
Test your understanding of the Distributive Property in Algebra 1 with this set of flashcards. Each card covers essential terms and definitions, helping you grasp key concepts such as constants, variables, and the application of the property in expressions.
