Pre Algebra: Lesson 2.3 - Simplifying Expressions
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Questions and Answers

What is the simplification of 2x + 3 - 2 + 1x?

3x + 1

What is the simplification of n + 5n?

6n

What is the simplification of -4j - 1 - 4j + 6?

-8j + 5

What are the parts of an expression that are separated by addition or subtraction signs called?

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

How many terms are in the expression 9s - 4r - 7s + 3?

<p>4</p> Signup and view all the answers

What are the coefficients in the expression 9s - 4r - 7s + 3?

<p>9, -4, -7</p> Signup and view all the answers

What is the number in front of the variable called?

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

What is a number without a variable called?

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

What are terms with the same variable parts, including exponents, called?

<p>Like terms</p> Signup and view all the answers

What is the constant in the expression 9s - 4r - 7s + 3?

<p>3</p> Signup and view all the answers

What is a letter that stands for an unknown in mathematics?

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

What is the simplification of 2 + 3x - 12?

<p>3x - 10</p> Signup and view all the answers

What is the simplification of 10 - 2x - 5?

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

What is the simplification of 8 - (x + 4)?

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

What is the simplification of 2x + 3x + 3?

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

What is the simplification of -2x + 2x + 5?

<p>5</p> Signup and view all the answers

What is the factorization of 7(m + 2)?

<p>7m + 14</p> Signup and view all the answers

What is the factorization of 3(4m + 2)?

<p>12m + 6</p> Signup and view all the answers

What is the factorization of 4(3n - 4)?

<p>12n - 16</p> Signup and view all the answers

What is the factorization of 7(2r - 3)?

<p>14r - 21</p> Signup and view all the answers

What is the factorization of -4(6x - 5)?

<p>-24x + 20</p> Signup and view all the answers

Study Notes

Simplifying Expressions

  • 3x + 1 simplifies from 2x + 3 - 2 + 1x.
  • 6n results from simplifying n + 5n.
  • -8j + 5 simplifies from -4j - 1 - 4j + 6.

Terminology

  • A term is a part of an expression separated by addition or subtraction signs.
  • The expression 9s - 4r - 7s + 3 contains four terms.
  • Coefficients in 9s - 4r - 7s + 3 are 9, -4, -7.

Key Components of Expressions

  • A coefficient is the number in front of a variable (e.g., in 4x, 4 is the coefficient).
  • A constant is a number without a variable, such as 3 in 9s - 4r - 7s + 3.
  • A variable is a letter that represents an unknown value.

Similar Terms

  • Like terms are terms with identical variable parts, including exponents.

Additional Simplifications

  • 3x - 10 simplifies from 2 + 3x - 12.
  • -2x + 5 results from simplifying 10 - 2x - 5.
  • -x + 4 simplifies from 8 - (x + 4).
  • 5x + 3 comes from simplifying 2x + 3x + 3.
  • The number 5 appears in the expression -2x + 2x + 5 when simplified.

Factoring Expressions

  • 7m + 14 results from factoring 7(m + 2).
  • 12m + 6 is derived from the expression 3(4m + 2).
  • 12n - 16 simplifies from 4(3n - 4).
  • 14r - 21 comes from factoring 7(2r - 3).
  • -24x + 20 results from factoring -4(6x - 5).

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Test your knowledge on simplifying expressions with this flashcard quiz based on Pre Algebra Lesson 2.3. Each card presents a mathematical expression or term that you need to simplify or define. Challenge yourself and strengthen your algebra skills!

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