 The Equation Game. Why is an equation like a balance scale? 3 2x - 1 =

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The Equation Game

Why is an equation like a balance scale? 3 2x - 1 =

The equation game has one rule … … do the same action on both sides.

2x2x - 1 3 = 2x - 13

= Why did we add one red tile to each side? 2x - 1+ 1 3

= 2x - 1+ 1 3 2x = 4 The action on both sides is… SIMPLIFY!

2x = 4 Two groups of “x” is 4. What is one group of “x”?

2x = 4 x = 2 22

= 2x - 13 How can you check your answer?

= 2x – 1 3 3 = 3 Replace each “x” with 2 “ones”. 2(2) - 1

= -x-x 3 … what if? If two sides of an equation are equal then the opposites of the two sides are equal. x = -3

= -x-x 3 When you change the signs of both sides, how are you following the one rule of the Equation Game? x = -3

Play the Equation Game with a partner Solve each equation. Check your solution. 1.3x - 2 = 4 2.4x + 1 = -7 3.-4 = 2 + 2a 4.3 - b = -2 5.-4x + 1 = -3 6.3t + 6 = 9

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