Solving Equations with Variables on Both Sides Teacher

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

Solving Equations with Variables on Both Sides

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

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

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

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

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

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

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

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

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

Inside Flap - 5. Is there a number attached to the variable? If no, variable = # If yes, 1. If by x then ÷ 2. If by ÷ then x

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

Pairs Check

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

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