Pre-Algebra Combining Like Terms
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Questions and Answers

What is 0.8y - 0.7y?

0.1y

What is 1.6y - 0.8y?

0.8y

What is 7/8y - 5/8y?

1/4y

What is 5/3y - 1/6y?

<p>3/2y</p> Signup and view all the answers

What is 3/4y - 2/3y?

<p>1/12y</p> Signup and view all the answers

What is 4/5y - 1/3y?

<p>7/15y</p> Signup and view all the answers

What is 4y - y?

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

What is 7/8y - 1/8y - 5?

<p>3/4y - 5</p> Signup and view all the answers

What is 1/2y + 2/3y - 1/6y?

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

What is 8y + 4 - 6y?

<p>2y + 4</p> Signup and view all the answers

What is 1.8y - 0.6 - 0.7y?

<p>1.1y - 0.6</p> Signup and view all the answers

What is 2x + 4x + 7y?

<p>6x + 7y</p> Signup and view all the answers

What is 8x - 7x - 6y?

<p>x - 6y</p> Signup and view all the answers

What is 5x + 3y - x?

<p>4x + 3y</p> Signup and view all the answers

What is 2/3x - 1/6x + 3/5y - 3/10y?

<p>1/2x + 3/10y</p> Signup and view all the answers

What is 2.3x - 2.7y - 1.8x + 3.5y?

<p>0.5x + 0.8y</p> Signup and view all the answers

What is an algebraic expression?

<p>Contains variables, operations, and numbers; does not have an equal sign; you can simplify.</p> Signup and view all the answers

What is an algebraic equation?

<p>Contains variables, operations, and numbers; does have an equal sign; you can solve.</p> Signup and view all the answers

What is a variable?

<p>A letter or symbol that stands for an unknown number.</p> Signup and view all the answers

What are terms?

<p>Parts of an algebraic expression that are separated by operations.</p> Signup and view all the answers

What are like terms?

<p>Terms that have the same variable to the same power. Constants are also like terms.</p> Signup and view all the answers

What does combining like terms mean?

<p>When simplifying an expression, you must combine like terms.</p> Signup and view all the answers

What does it mean to simplify an expression?

<p>To put an expression in its simplest form by combining like terms; work until there is no more work to do; putting fractions in simplest form.</p> Signup and view all the answers

What is a coefficient?

<p>The number attached to a variable.</p> Signup and view all the answers

What is a constant?

<p>A number in an expression that is not attached to a variable.</p> Signup and view all the answers

Study Notes

Combining Like Terms

  • Combining like terms involves adding or subtracting coefficients of terms with the same variable.
  • Example: 0.8y - 0.7y simplifies to 0.1y.

Simplifying Expressions

  • When simplifying, group like terms.
  • Example: 1.6y - 0.8y results in 0.8y.

Fractional Coefficients

  • Like terms can also be expressed as fractions.
  • Example: 7/8y - 5/8y simplifies to 1/4y.

Mixed Operations

  • Combining terms with different coefficients can also include constants.
  • Example: 7/8y - 1/8y - 5 simplifies to 3/4y - 5.

Algebraic Expressions vs Equations

  • Algebraic expressions have no equal sign and can be simplified.
  • Algebraic equations contain an equal sign and can be solved for a variable.

Role of Variables

  • Variables represent unknown numbers and can be expressed as letters or symbols.
  • Example: In the expression 2x + 4x + 7y, x and y are variables.

Understanding Terms and Like Terms

  • Terms are components of an expression separated by operations.
  • Like terms share the same variable raised to the same power; constants are also considered as like terms.

Process of Combining Like Terms

  • When simplifying, combine like terms by adding or subtracting their coefficients.
  • Example: 5x + 3y - x simplifies to 4x + 3y.

Importance of Simplification

  • Simplification aids in making expressions easier to work with and can help solve equations more effectively.
  • Example: The expression 2.3x - 2.7y - 1.8x + 3.5y simplifies to 0.5x + 0.8y.

Coefficients and Constants

  • Coefficient: The numerical factor in front of a variable (e.g., in 3y, 3 is the coefficient).
  • Constant: A standalone number without a variable (e.g., in 5, it's a constant).

Definition Recap

  • Combining like terms results in a simpler expression by merging terms with the same variable.
  • Simplifying expressions should conclude when no further consolidation is possible.

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Enhance your understanding of combining like terms in Pre-Algebra with this set of flashcards. Each card presents an expression to simplify and its simplified form for effective learning. Perfect for mastering the basics of algebraic terms.

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