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Algebra-Balance Scale Solve simple linear equations using a balance beam representation. R.Gallinagh September 2005 Algebra-Balance Scale . 3x + 3 = x + 7 What does x=? R.Gallinagh September 2005 Algebra-Balance Scale . 3x + 3 = x + 7 What do we need to do to make it balance? R.Gallinagh September 2005 Algebra-Balance Scale . 3x + 3 = x + 7 We need to put x +7 on other side. Now it is balance R.Gallinagh September 2005 Algebra-Balance Scale . 3x + 3 = x + 7 What happens if we move a number 1 from left hand side No longer balanced……… 3x + 2 does NOT equal x + 7 What do we need to do to make it balance? R.Gallinagh September 2005 Algebra-Balance Scale . 3x + 2 = x + 6 We need to move 1 from the other side We have balance again since 3x + 2 does EQUAL x + 6 R.Gallinagh September 2005 Algebra-Balance Scale . 3x + 2 = x + 6 Who took 1 away from the right hand side? 3x + 2 obviously does NOT equal x + 5 What must we do to get BALANCE? R.Gallinagh September 2005 Algebra-Balance Scale . 3x + 1 = x + 5 YES You are right; we must take away one from the right hand side Does 3 x + 1 = x + 5 ……………..Yes it does R.Gallinagh September 2005 Algebra-Balance Scale . 3x + 1 = x + 5 Some one has taken 1 away from the right hand side Does 3x = x + 5 ….The beam tells us it does not. What do we do for balance? R.Gallinagh September 2005 Algebra-Balance Scale . 3x = x + 4 Take 1 away from the right hand side. It means 3x = x + 4 We don’t have numbers on both sides; but we do have x’s R.Gallinagh September 2005 Algebra-Balance Scale . 3x = x + 4 Taking x just from one side caused imbalance We must take x from other side R.Gallinagh September 2005 Algebra-Balance Scale . Now we have balance with 2x on one side and 4 on the other side 2x = 4 That means x = 2 ………….wow easy R.Gallinagh September 2005 Algebra-Balance Scale 3x + 3 = x + 7 R.Gallinagh September 2005 Algebra-Balance Scale 3x + 3 = x + 7 3x + 3 - 3 = x + 7 - 3 R.Gallinagh September 2005 Algebra-Balance Scale 3x + 3 = x + 7 3x + 3 - 3 = x + 7 - 3 3x = x + 4 R.Gallinagh September 2005 Algebra-Balance Scale 3x + 3 = x + 7 3x + 3 - 3 = x + 7 - 3 3x = x + 4 3x -x = x - x + 4 R.Gallinagh September 2005 Algebra-Balance Scale 3x + 3 = x + 7 3x + 3 - 3 = x + 7 - 3 3x = x + 4 3x -x = x - x + 4 2x = 4 R.Gallinagh September 2005 Algebra-Balance Scale 3x + 3 = x + 7 3x + 3 - 3 = x + 7 - 3 3x = x + 4 3x -x = x - x + 4 2x = 4 X=2 R.Gallinagh September 2005

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Balance Scale, linear equations, how to, Solving Equations, math games, Algebra Tiles, balance beam, order of operations, whole numbers, Algebra 1

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views: | 130 |

posted: | 6/14/2011 |

language: | English |

pages: | 18 |

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