MODELING ONE STEP EQUATIONS

Algebra tiles and an equation mat can be used to model and solve equations. To find the value of the variable, place or remove tiles to get the x-tile by itself on one side of the mat. You must place or remove the same number of yellow tiles or the same number of red tiles on both sides.

Activity

Use algebra tiles to model and solve x + 6 = 2.

Model x + 6 on the left side of the mat and 2 on the right side of the mat

x + 6 = 2

Place 6 red tiles on both sides of the mat. This represents adding -6 to both sides of the equation.

x + 6 + (-6) = 2 + (-6)

Remove zero pairs from both sides of the mat.

x + 0 = 0 + (-4)

One x-tile is equivalent to 4 red tiles.

x = -4

Try This

Use algebra tiles to model and solve each equation.

1)  x + 2 = 5

2)  x - 7 = 8

3)  x - 5 = 9

4)  x + 4 = 7

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