Translating Sentences into Equations

Translating Sentences into Equations

• When translating sentences into equations, identify keywords indicating mathematical operations.
• "More than" or "sum" signify addition.
• "Less than" or "difference" indicate subtraction.
• "Times" or "product" represent multiplication.
• "Quotient" denotes division.
• "Is" or "equals" are replaced with an equal sign (=).

Example Sentences:

• "Five more than three times a number is 26"

  • "Five more" translates to + 5.
  • "Three times a number" translates to 3 * x (where x represents the unknown number).
  • "Is" translates to =.
  • The equation is 3x + 5 = 26.

• "Six less than five times the number is nine"

  • "Five times the number" translates to 5 * x.
  • "Six less than" translates to - 6.
  • "Is" translates to =.
  • The equation is 5x - 6 = 9.

• "The difference between four times a number and seven is five"

  • "Four times a number" translates to 4 * x.
  • "The difference between... and seven" translates to 4x - 7.
  • "Is" translates to =.
  • The equation is 4x - 7 = 5.

• "Seven more than the quotient of a number and three is ten"

  • "The quotient of a number and three" translates to x / 3.
  • "Seven more than" translates to + 7.
  • "Is" translates to =.
  • The equation is x / 3 + 7 = 10.

• "Five less than three times the sum of a number and four is twenty-two"

  • "The sum of a number and four" translates to (x + 4).
  • "Three times the sum of a number and four" translates to 3 * (x + 4).
  • "Five less than" translates to - 5.
  • "Is" translates to =.
  • The equation is 3(x + 4) - 5 = 22.

Solving Equations

• Use the order of operations (PEMDAS/BODMAS) to solve equations.
• Combine like terms on each side of the equation.
• Employ inverse operations to isolate the variable (x).
• Addition and subtraction are inverse operations.
• Multiplication and division are inverse operations.

Practice Makes Perfect

• Consistent practice is crucial for confidently translating sentences into equations.
• Working through numerous examples improves proficiency.

This quiz focuses on converting verbal phrases into mathematical equations. By recognizing keywords that signify operations like addition, subtraction, multiplication, and division, students will learn how to express sentences as equations. Test your skills in sentence translation and enhance your algebraic understanding.