Bell Ringer

S OLVING 1-S TEP I NTEGER E QUATIONS Objective: Objective: To solve one-step integer equations using addition, subtraction, multiplication, and division

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

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.

Example 1: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 

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

Practice j - 3 = r = j = r = 30

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.

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

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

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

Practice: Solve and Check 1. x-(-8)=42. -5x=19 3. x/7=-12

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

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