Bell Ringer

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

Solve an Equation To find all values of a variable that make an equation true

A one-step equation is as straightforward as it sounds A one-step equation is as straightforward as it sounds. You will only need to perform one step in order to solve the equation.

Solving One-Step Equations Inverse Operation Operations that “undo” each other For example, addition “undoes” subtraction and subtraction “undoes” addition. Multiplication is the inverse of division

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 

 -6 = m - 4 +4 +4 -2 = m -6 = m - 4 -6 = (-2) - 4 -6 = -6 Example 2: Solve -6 = m - 4 -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

Solving Equations Using Multiplication or Division If a variable has been multiplied by a nonzero number, divide both sides by that number. If a variable has been divided by a number, multiply both sides by that number.

Replace the variable with your answer. Example 3: Solve 3y = 261 3y = 261 To undo the multiplication by 3, divide 3 from both sides of the equal sign. 3 3 y = 87 Check the solution. 3y = 261 Replace the variable with your answer. 3(87) = 261 261 = 261 

 -w = 42 -1w = 42 -1 -1 w = -42 -w = 42 -(-42) = 42 42 = 42 Example 4: Use the multiplication property of - 1 -w = 42 To undo the multiplication of -1 , divide both sides by -1. -1w = 42 -1 is being multiplied to w -1 -1 w = -42 Check the solution. -w = 42 Replace the variable with your answer. -(-42) = 42 42 = 42 

Practice -6x = -36 b = 12 (-4) (-4) -6 -6 -4 x = 6 b = -48

Practice: Solve and Check 1. x-(-8)=4 2. -5x=19 3. x/7=-12

Practice: Solve and Check 4. x+7=-2 5. -4x=6

Practice: Solve and Check 6. 9=5+x 7. -5.1+x=-7.25