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Solving 1-Step Integer Equations
Objective: To solve one-step integer equations using addition and subtraction
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Solving One-Step Equations
Inverse Operation Operations that “undo” each other Addition “undoes” subtraction Subtraction “undoes” addition.
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Solving Equations Using Addition or Subtraction:
If a number has been added to the variable, subtract that number from both sides of the equation. If a number has been subtracted from the variable, add that number to both sides of the equation.
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Replace the variable with your answer.
Example 1: Solve m + 7 = 11 m + 7 = 11 To undo the addition of 7, subtract 7 from both sides of the equal sign. m = 4 Check the solution. m + 7 = 11 Replace the variable with your answer. (4) + 7 = 11 11 = 11
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Negative integers Example: Solve -6 = m – 4
To undo the subtraction of 4, add 4 to both sides of the equal sign. -2 = m Check the solution. -6 = m - 4 Replace the variable with your answer. -6 = (-2) - 4 -6 = -6
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Practice j - 3 = r = 26 r = 30 j = - 9
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Practice: Solve and Check
1. x+7= x= -9 3. m – 3 = c + 5 = 3
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Practice: Solve and Check
= x x +5.1 = -7.25
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