Solving Equations with Variables on Both Sides

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Presentation transcript:

Solving Equations with Variables on Both Sides Teacher Twins©2014

Warm Up x = -10 x = - 9 x = - 6

Solving Equations with Variables on Both Sides

1. Is it a subtraction problem? Solving Equations with Variables on Both Sides 3. Are there variables on the right side? 4. Is there a number not attached to the variable? 1. Is it a subtraction problem? 5. Is there a number attached to the variable? 2. Are there grouping symbols? Or like terms?

Inside - Solving Equations with Variables on Both Sides 2(x – 4) – 4x = -3x + 6

Inside Flap - 1. Is it a subtraction problem? If yes, Change to an addition sentence. (Leave, Change, Opposite). Go to step 2. If no, go to step 2.

1. Is it a subtraction problem? Under Flap - 1. Is it a subtraction problem? 2(x – 4) – 4x = -3x + 6 2(x + - 4) + - 4x = -3x +6

Inside Flap - 2. Are there grouping symbols? Or like terms? If no, go to step 3. If yes, Distribute (parentheses) and combine like terms. Go to step 3.

2(x + - 4) + - 4x = -3x +6 2x + - 8 + - 4x = -3x + 6 Under Flap 2. Are there grouping symbols? Or like terms? 2(x + - 4) + - 4x = -3x +6 2x + - 8 + - 4x = -3x + 6 -2x + - 8 = - 3x + 6

If no, go to step 4. If yes, Move them to the left side. Inside Flap - 3. Are there variables on the right side? If no, go to step 4. If yes, Move them to the left side. Combine/simplify left side. Go to step 4.

-2x + - 8 = - 3x + 6 + 3x +3x x + - 8 = 6 Under Flap 3. Are there variables on the right side? -2x + - 8 = - 3x + 6 + 3x +3x x + - 8 = 6

If no, go to step 5. If yes, Inside Flap - 4. Is there a number not attached to the variable? If yes, Move it to the right side by using the opposite sign(addition or subtraction). Go to step 5. If no, go to step 5.

Under Flap 4. Is there a number not attached to the variable? x + - 8 = 6 +8 +8 x = 14

If no, variable = # If by x then ÷ If by ÷ then x If yes, Inside Flap - 5. Is there a number attached to the variable? If yes, If by x then ÷ If by ÷ then x If no, variable = #

Under Flap - 5. Is there a number attached to the variable? x = 14

Pairs Check

5x - 4 = 3x + 12 2(x + 5) = 3x +12 4x - 12 = 7x + 18 3(2x+12) = 3x+24 A Solve 5x - 4 = 3x + 12 2(x + 5) = 3x +12 B Solve 4x - 12 = 7x + 18 3(2x+12) = 3x+24

Closure Solve. 4x + 7 - 2x = 3 + 3x + 4