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?
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How many terms are in the expression 9s - 4r - 7s + 3?
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What are the coefficients in the expression 9s - 4r - 7s + 3?
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What is the number in front of the variable called?
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What is a number without a variable called?
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What are terms with the same variable parts, including exponents, called?
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What is the constant in the expression 9s - 4r - 7s + 3?
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What is a letter that stands for an unknown in mathematics?
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What is the simplification of 2 + 3x - 12?
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What is the simplification of 10 - 2x - 5?
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What is the simplification of 8 - (x + 4)?
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What is the simplification of 2x + 3x + 3?
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What is the simplification of -2x + 2x + 5?
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What is the factorization of 7(m + 2)?
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What is the factorization of 3(4m + 2)?
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What is the factorization of 4(3n - 4)?
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What is the factorization of 7(2r - 3)?
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What is the factorization of -4(6x - 5)?
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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).
Studying That Suits You
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Description
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!
