Math

• What is a variable in an equation?

  A letter representing an unknown value
• In the equation $3x +$$5 =$$20$, what does *x* represent?


  *x* is the variable to solve for
• What operation is performed to isolate $3x$ in the equation?


  Subtract $5$ from both sides
• How would you solve for *x* in the equation $3x +$$5 =$$20$?


  Isolate *x* by subtracting 5
• Why do we subtract $5$ from both sides of the equation?


  To keep the equation balanced
• What is the result of the equation after subtracting $5$ from both sides?


  $3x =$$15$
• What is the first step to solve the equation $3x +$$5 =$$20$?


  Subtract 5 from both sides
• What does the equation $3x +$$5 - 5 =$$20 - 5$ demonstrate about equation manipulation?


  It shows how to isolate a variable
• What is the purpose of simplifying the equation?

  To isolate the variable $x$
• What is the initial equation given in the material?

  $3x +$$5 =$$20$
• How does subtracting 5 from both sides maintain balance in an equation?

  • It keeps both sides equal
  • Similar to removing items from both sides
  • Example: 2 apples and 3 oranges
• What is the result of dividing $3x$ by $3$?


  $x$
• How many bags of candies are mentioned in the analogy?

  3 bags
• What does dividing by $3$ in the analogy represent?


  Giving 1 bag of candies per person
• What is the equation used to isolate $x$?


  $3x =$$15$
• What analogy is used to explain division in the context of the equation?

  Sharing candy among people
• What is the value of $x$ after solving $3x =$$15$?


  $5$
• What is the result of dividing $15$ by $3$?


  $5$
• How many candies are in each bag in the analogy?

  5 candies
• How does dividing by $3$ affect the equation $3x =$$15$?


  • Coefficient of $x$ becomes 1
  • Right side simplifies to $5$
  • Equation becomes $x =$$5$
• What equation do we refer to when solving for $x$?


  $3x =$$15$
• What is the final solution for $x$ in the equation?


  $x =$$5$