 # Bell Ringer. S OLVING 1-S TEP I NTEGER E QUATIONS Objective: Objective: To solve one-step integer equations using addition, subtraction, multiplication,

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

Example 2: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 +3 +3 j = - 9 +4 +4 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) = 261 261 = 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 42 = 42  Example 4:Example 4: Use the multiplication property of - 1 -w = 42 -1 is being multiplied to w

Practice -6x = -36 b = 12 -6 -6 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=-25. -4x=6

Practice: Solve and Check 6. 9=5+x7. -5.1+x=-7.25

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