Solving 1-Step Integer Equations Objective: To solve one-step integer equations using addition and subtraction

Solving One-Step Equations Inverse Operation Operations that “undo” each other Addition “undoes” subtraction Subtraction “undoes” addition.

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.

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. - 7 -7 m = 4 Check the solution. m + 7 = 11 Replace the variable with your answer. (4) + 7 = 11 11 = 11 

Negative integers Example: Solve -6 = m – 4 To undo the subtraction of 4, add 4 to both sides of the equal sign. +4 +4 -2 = m Check the solution. -6 = m - 4 Replace the variable with your answer. -6 = (-2) - 4  -6 = -6

Practice j - 3 = -12 -4 + r = 26 +4 +4 +3 +3 r = 30 j = - 9

Practice: Solve and Check 1. x+7= -2 2. -4 +x= -9 3. m – 3 = -8 4. c + 5 = 3

Practice: Solve and Check 5. 1.9 = x + 5.2 6. x +5.1 = -7.25