Factoring Algebraic Expressions Flashcards
34 Questions
100 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the factor of 8x + 4?

4(2x + 1)

What is the factor of 4x + 4?

4(x + 1)

What is the factor of -4x - 2?

-2(2x + 1)

What is the factor of -8x + 16?

<p>-8(x - 2)</p> Signup and view all the answers

What is the factor of 2x - 4?

<p>2(x - 2)</p> Signup and view all the answers

What is the factor of -2x + 4?

<p>-2(x - 2)</p> Signup and view all the answers

What is the factor of 6x + 2?

<p>2(3x + 1)</p> Signup and view all the answers

What is the factor of 18x + 6?

<p>6(3x + 1)</p> Signup and view all the answers

What is the factor of -3x - 15?

<p>-3(x + 5)</p> Signup and view all the answers

What is the factor of 7x - 35?

<p>7(x - 5)</p> Signup and view all the answers

What is the factor of -7x + 35?

<p>-7(x - 5)</p> Signup and view all the answers

What is the factor of 3x - 15?

<p>3(x - 5)</p> Signup and view all the answers

What is the factor of -15x + 12?

<p>-3(5x - 4)</p> Signup and view all the answers

What is the factor of -3x + 9?

<p>-3(x - 3)</p> Signup and view all the answers

What is the factor of -5x + 30?

<p>-5(x - 6)</p> Signup and view all the answers

What is the factor of 2x - 12?

<p>2(x - 6)</p> Signup and view all the answers

What is the factor of -10x + 5?

<p>-5(2x - 1)</p> Signup and view all the answers

What is the factor of -4x + 2?

<p>-2(2x - 1)</p> Signup and view all the answers

What is the factor of -4x - 2?

<p>-2(2x + 1)</p> Signup and view all the answers

What is the factor of 6x - 4?

<p>2(3x - 2)</p> Signup and view all the answers

What is the factor of -6x - 8?

<p>-2(3x + 4)</p> Signup and view all the answers

What is the factor of -10x - 5?

<p>-5(2x + 1)</p> Signup and view all the answers

What is the factor of -8x - 12?

<p>-4(2x + 3)</p> Signup and view all the answers

What is the factor of -6x + 2?

<p>-2(3x - 1)</p> Signup and view all the answers

What is the factor of -9x + 12?

<p>-3(3x - 4)</p> Signup and view all the answers

What is the factor of -3x + 6?

<p>-3(x - 2)</p> Signup and view all the answers

What is the factor of -5x + 30?

<p>-5(x - 6)</p> Signup and view all the answers

What is the factor of -4x + 6?

<p>-2(2x - 3)</p> Signup and view all the answers

What is the factor of -12x + 6?

<p>-6(2x - 1)</p> Signup and view all the answers

What is the factor of -6x + 4?

<p>-2(3x - 2)</p> Signup and view all the answers

What is the factor of 12x - 9?

<p>3(4x - 3)</p> Signup and view all the answers

What is the factor of -9x - 12?

<p>-3(3x + 4)</p> Signup and view all the answers

What is the factor of -12x + 16?

<p>-4(3x - 4)</p> Signup and view all the answers

What is the factor of -27x - 18?

<p>-9(3x + 2)</p> Signup and view all the answers

Study Notes

Factoring Algebraic Expressions

  • Factoring involves rewriting an expression as a product of its factors, which simplifies mathematical operations and problem-solving.
  • The goal is to find common factors in polynomial expressions and extract them.

Examples of Factored Expressions

  • 8x + 4 factors into 4(2x + 1), identifying the common factor 4.
  • 4x + 4 simplifies to 4(x + 1) by factoring out 4.
  • -4x - 2 can be factored to -2(2x + 1), revealing -2 as a common factor.
  • -8x + 16 rewrites as -8(x - 2), noticing -8 is a factor.
  • 2x - 4 factors to 2(x - 2), with 2 being the common factor.
  • -2x + 4 simplifies to -2(x - 2), factoring out -2.

More Factored Examples

  • 6x + 2 can be factored to 2(3x + 1), highlighting 2 as the common factor.
  • 18x + 6 factors as 6(3x + 1), identifying 6 as a common factor.
  • -3x - 15 simplifies to -3(x + 5), emphasizing -3's role.
  • 7x - 35 rewrites as 7(x - 5), where 7 is the common factor.
  • -7x + 35 can be written as -7(x - 5).
  • 3x - 15 factors to 3(x - 5), extracting 3.
  • -15x + 12 becomes -3(5x - 4), showing -3 as a common factor.
  • -3x + 9 factors as -3(x - 3), highlighting -3's influence.
  • -5x + 30 simplifies to -5(x - 6), emphasizing -5.
  • 2x - 12 rewrites as 2(x - 6), extracting a common factor of 2.
  • -10x + 5 is factored to -5(2x - 1).
  • -4x + 2 simplifies to -2(2x - 1).
  • -4x - 2 factors as -2(2x + 1), showing -2 as a factor.

Further Factoring Insights

  • 6x - 4 can be factored to 2(3x - 2), identifying 2.
  • -6x - 8 rewrites as -2(3x + 4), pulling out -2.
  • -10x - 5 factors to -5(2x + 1), revealing commonality.
  • -8x - 12 simplifies to -4(2x + 3), highlighting -4's role.
  • -6x + 2 rewrites as -2(3x - 1).
  • -9x + 12 factors as -3(3x - 4), showing -3.
  • -3x + 6 rewrites to -3(x - 2).
  • -5x + 30 simplifies to -5(x - 6).
  • -4x + 6 factors to -2(2x - 3).
  • -12x + 6 rewrites as -6(2x - 1), highlighting -6.
  • -6x + 4 factors to -2(3x - 2).
  • 12x - 9 simplifies to 3(4x - 3), emphasizing 3.
  • -9x - 12 rewrites as -3(3x + 4).
  • -12x + 16 can be factored to -4(3x - 4).
  • -27x - 18 factors as -9(3x + 2), identifying -9 as a common factor.

Summary

  • Mastering factoring helps in simplifying equations, solving polynomials, and preparing for more complex algebra topics.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Description

Test your understanding of factoring algebraic expressions with these flashcards. Each card presents a linear expression along with its factored form, helping you to master this key algebraic concept. Perfect for students preparing for exams or anyone looking to brush up on their algebra skills.

More Like This

Use Quizgecko on...
Browser
Open
Browser
Browser