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Solving Equations with Algebra Tiles: A Step-by-Step Guide (Part II)

In this guide, we continue exploring how to solve linear equations using algebra tiles. We will represent various equations such as ( x + 3 = 4 ), ( 2x + 4 = 8 ), and more, visualizing the balance method. You'll learn to isolate the variable ( x ) by applying the same operation to both sides of the equation. Each example encourages you to assess if the found value is logical, fostering critical thinking as you master the concepts of equality and variable isolation.

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Solving Equations with Algebra Tiles: A Step-by-Step Guide (Part II)

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  1. Solving Equations with Algebra TilesPart II Jim Rahn www.jamesrahn.com James.rahn@verizon.net

  2. 1. Use the algebra models to represent x + 3 = 4 on the equation balance. Find the value of x by doing the same thing to both sides of the balance until you have the x (green rectangle) by itself. Does this value make sense? =

  3. 2. Use the algebra models to represent 2x+4 = 8. Find the value of x by doing the same thing to both sides of the balance until you have the x (green rectangle) by itself. Does this value make sense? =

  4. 3. Use the algebra models to represent -2x +-4 =-2 +3x on the equation balance. Find the value of x by doing the same thing to both sides of the balance until you have the x (green rectangle) by itself. Does this value make sense? =

  5. 3. Use the algebra models to represent -2x +-4 =-2 +3x on the equation balance. Find the value of x by doing the same thing to both sides of the balance until you have the x (green rectangle) by itself. Does this value make sense? =

  6. 4. Use the algebra models to represent on the equation balance. Find the value of x by doing 8 = -2 +2x the same thing to both sides of the balance until you have the x (green rectangle) by itself. Does this value make sense? =

  7. 5. Use the algebra models to represent on the equation balance. Find the value of x by doing -4+3x=x+4 the same thing to both sides of the balance until you have the x (green rectangle) by itself. Does this value make sense? =

  8. 6. Use the algebra models to represent -4 =-2x +2 on the equation balance. Find the value of x by doing the same thing to both sides of the balance until you have the x (green rectangle) by itself. Does this value make sense? =

  9. 7. Use the algebra models to represent on the equation balance. Find the value of x by x +6 = -2x +2 doing the same thing to both sides of the balance until you have the x (green rectangle) by itself. Does this value make sense? =

  10. 7. Use the algebra models to represent on the equation balance. Find the value of x by x +6 = -2x +2 doing the same thing to both sides of the balance until you have the x (green rectangle) by itself. Does this value make sense? =

  11. 8. Use the algebra models to represent on the equation balance. Find the value of x by 3x +1=-2x +6 doing the same thing to both sides of the balance until you have the x (green rectangle) by itself. Does this value make sense? =

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