Distributive Property (Algebra 1) Flashcards
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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)?

<p>14</p> Signup and view all the answers

What is the result of 2(3x + 4)?

<p>6x + 8</p> Signup and view all the answers

What is the result of (2x + 3y)(-4)?

<p>-8x - 12y</p> Signup and view all the answers

What is the result of 1x(1x + 3y)?

<p>1x^2 + 3xy</p> Signup and view all the answers

What is the result of -6x(2y - 4)?

<p>-12xy + 24x</p> Signup and view all the answers

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.

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