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# Onestepequations

## by Nora , Teacher at Stevenson Middle School on Nov 11, 2008

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## OnestepequationsPresentation Transcript

• 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.
• 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
• 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: 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: 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.
• 3 y = 261
To undo the multiplication by 3, divide 3 from both sides of the equal sign. 3 3 y = 87 Check the solution. 3 y = 261 Replace the variable with your answer. 3(87) = 261 261 = 261  Example 3: Solve 3y = 261
• - 1 w = 42
To undo the multiplication of -1 , divide both sides by -1. -1 -1 w = -42 Check the solution. -w = 42 Replace the variable with your answer. - (-42) = 42 42 = 42  Example 4: Use the multiplication property of - 1 - w = 42 -1 is being multiplied to w
• Practice
• -6 x = -36 b = 12
-6 -6 x = 6 (-4) -4 (-4) b = -48