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Solving Equations with Transparency in Mathematics

Learn how to solve addition equations and use inverse operations to find the value of variables in true sentences. Explore examples like solving using zero pairs and the Identity Property of Addition. Brush up on your skills with interactive lessons.

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Solving Equations with Transparency in Mathematics

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  1. Transparency 2 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 2-2c Objective Solve addition equations

  4. Example 2-2c Vocabulary Inverse operations Operations which undo each other add/subtract Multiply/divide

  5. Example 2-2c Vocabulary Solve Find the value of the variable that results in a true sentence

  6. Lesson 2 Contents Example 1Solve an Equation by Subtracting Example 2Solve an Equation Using Zero Pairs

  7. Example 2-1a Write the equation. Ask “what is being done to the variable?” The variable is being added by 4 - 4 - 4 = 5 x + 4 Do the inverse on each side to “undo the addition Bring down x + 4 Subtract 4 Bring down = 5 Subtract 4 1/2

  8. Example 2-1a Bring down x Combine “like” terms Bring down = Combine “like” terms - 4 - 4 = 5 x + 4 Use the Identity Property of Addition to add x + 0 x 1 = + 0 Answer: x = 1 1/2

  9. Example 2-1c Answer: 1/2

  10. Example 2-2a Write the equation. Ask “what is being done to the variable?” The variable is being added by 11 - 11 = 7 - 11 x +11 Do the inverse on each side to “undo the addition Bring down x + 11 Subtract -11 Bring down = 7 Subtract -11 2/2

  11. Example 2-2a Bring down x Combine “like” terms Bring down = - 11 - 11 x + 11 = 7 Combine “like” terms = -4 x + 0 Use the Identity Property of Addition to add x + 0 x = -4 Answer: 2/2

  12. Example 2-2c * Answer: x = –6 2/2

  13. End of Lesson 2 Assignment

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