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One and Two Step Equations Using Opposite Operations
When working to get the variable isolated and all alone, use the opposites rule. Opposites Rule – to get rid of a term from either side of an equation, just do the opposite operation.
1. C + 3 = 5 Variable Mark the variable then leave it alone. Move everything away from the variable. - 3 C = 2 2. m - 3 = 5 +3 = 8 m Variable
3. P + (-12) = -5 “fix” double signs first P – 12 = -5 +12 P= 7 4. Y - (-6) = 3 Y + 6 = 3 - 6 Y= -3 “fix” double signs first
5. X + 2.2 = 9.2 - 2.2 X= 7 - 2.2 6. X – (-28) = - 48 X + 28 = - 48 - 28 X = - 76
7. 9x = 45 This reads 9 times x So use the opposite. Divide both sides by 9. 9 9 x= 5 8. - 4m = - 28 - 4 m = 7
This is a division Problem, use Multiplication to solve it. 9. - k (8) = 48 Now Divide By -1 - 1 k =- 48 10. (-5) = x 55
Let’s try a problem. 8x + 5 = 61 This problem has addition, so we need to subtract first. - 5 Whatever we do on one side, we have to do on the other. 8x 56=
Now, Step 2. 8x = 56 This problem has multiplication, so we need to divide now. Whatever we do on one side, we have to do on the other. 88 x = 7
Let’s try another problem. 3a - 8 = 4 This problem has subtraction, so we need to add first. + 8 Whatever we do on one side, we have to do on the other. 3a 12=
Now, Step 2. 3a = 12 This problem has multiplication, so we need to divide now. Whatever we do on one side, we have to do on the other. 33 a = 4
Let’s try another problem. z + 2 = 26 6 This problem has addition, so we need to subtract first. - 2 Whatever we do on one side, we have to do on the other. 24 = z6z6
Now, Step 2. This problem has division, so we need to multiply now. Whatever we do on one side, we have to do on the other. z = 144 z = 24 6 6 6
Let’s try one more problem. m - 10 = 15 5 This problem has subtraction, so we need to add first. +10 Whatever we do on one side, we have to do on the other. 25 = m5m5
Now, Step 2. This problem has division, so we need to multiply now. Whatever we do on one side, we have to do on the other. m = 125 m = 25 5 5 5
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