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1.5:  Literal Equations ,[object Object],[object Object],[object Object]
Review What it means to solve equations: ,[object Object],[object Object],[object Object],[object Object],[object Object]
What are Literal Equations? ,[object Object],AREA BASE HEIGHT
Rules to Solving Literal Equations Solving equations for a specific variable involve the same rules as solving an equation. ,[object Object],[object Object],[object Object],[object Object],[object Object]
Example:  Solve the following for y In other words, isolate the variable “ y ” by itself Undo the subtracting 5x by adding 5x to both sides. Undo the multiplying by 2, by dividing both sides by 2 Remember, all numbers on the other side get divided by 2. Since you have “ y = “, you have now solved for y
Example:  Solve the same equation for x In other words, isolate the variable “ x ” by itself Undo the positive 2y by subtracting 2y from both sides. Undo the multiplying by -5, by dividing both sides by -5 Remember, all numbers on the other side get divided by -5. Since you have “ x = “, you have now solved for x Move the negative to the numerator by changing all the signs.
Formula Examples: ,[object Object],Solve the following formula for “ r ”
Formula Examples: ,[object Object],Solve the following formula for “ r ”
Formula Examples: ,[object Object],[object Object],[object Object],Solve the following formula for “ r ”
Solve the following formula, the perimeter of a rectangle for “ w ” In other words, isolate the variable “ w ” by itself Undo the positive “2 l ” by subtracting “2 l ”  Undo the multiplication by dividing both sides by 2 Remember, all the numbers get divided by 2
Examples: On Your Own 1) ; Solve for  b 2) ; Solve for  y 3) ; Solve for  y
Examples: On Your Own ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Examples: On Your Own ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Examples: On Your Own ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Solving Literal Equations

  • 1.
  • 2.
  • 3.
  • 4.
  • 5. Example: Solve the following for y In other words, isolate the variable “ y ” by itself Undo the subtracting 5x by adding 5x to both sides. Undo the multiplying by 2, by dividing both sides by 2 Remember, all numbers on the other side get divided by 2. Since you have “ y = “, you have now solved for y
  • 6. Example: Solve the same equation for x In other words, isolate the variable “ x ” by itself Undo the positive 2y by subtracting 2y from both sides. Undo the multiplying by -5, by dividing both sides by -5 Remember, all numbers on the other side get divided by -5. Since you have “ x = “, you have now solved for x Move the negative to the numerator by changing all the signs.
  • 7.
  • 8.
  • 9.
  • 10. Solve the following formula, the perimeter of a rectangle for “ w ” In other words, isolate the variable “ w ” by itself Undo the positive “2 l ” by subtracting “2 l ” Undo the multiplication by dividing both sides by 2 Remember, all the numbers get divided by 2
  • 11. Examples: On Your Own 1) ; Solve for b 2) ; Solve for y 3) ; Solve for y
  • 12.
  • 13.
  • 14.