Simplifying Variable Expressions

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Simplifying Variable Expressions

• Objective Simplifying Variable Expressions and
  Equations

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Key Terms

• Term a number a variable or the product of a
  number and a variable
• Constant a term that has no variables
• Like Terms Expressions with Identical variables
• Coefficient the number multiplied by a variable

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Terms a number, a variable or a product of a
number and a variable.
7a
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Constant-a term that has no variables.

• The only constant in this equation is 6!

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Like Terms-terms with identical variables.

• All the as are like terms.
• All the bs are like terms.

7a
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Coefficients-the multiplied by a variable.

• Coefficients are what is in front of the
  variable. If there is no coefficient in front of
  a variable, it really has a 1 in front in of
  it.

7a
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Coefficients-the multiplied by a variable.

• Coefficients are what is in front of the
  variable. If there is no coefficient in front of
  a variable, it really has a 1 in front in of
  it.

7a
1
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Combining Like Terms
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Combining Like Terms
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Practice with combining like terms
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Distributive Property

• Simplify the expression by combining like terms

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Distributive Property

• Simplify the expression

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Distributive Property

• Simplify the expression

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Equations

• An equation is a mathematical sentence that
  contains an sign

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Equations

• An equation that contains a variable is called an
  open sentence

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Equations

• When a variable is replaced by a number the
  sentence is either true or false

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Equations

• Let y 6

This is a false equation
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Equations

• Let y 5

This is a true equation
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Equations

• The value for a variable that makes an equation a
  true sentence is the solution to the equation

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Equations

• Let y 5

Y 5 is the solution
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Equations

• Which of the numbers 10, 15, or 20 is a solution

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Equations

• Which of the numbers 5, 7, or 6 is a solution

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Equations

• Which of the numbers 10, 5, or 25 is a solution