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# Onestepequations

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### Onestepequations

1. 1. SOLVING 1-STEP INTEGER EQUATIONS Objective: To solve one-step integer equations using addition, subtraction, multiplication, and division
2. 2. Solve an Equation <ul><li>To find all values of a variable that make an equation true </li></ul>
3. 3. <ul><li>A one-step equation is as straightforward as it sounds. </li></ul><ul><li>You will only need to perform one step in order to solve the equation. </li></ul>
4. 4. Solving One-Step Equations <ul><li>Inverse Operation </li></ul><ul><li>Operations that “undo” each other </li></ul><ul><li>For example, addition “undoes” subtraction and subtraction “undoes” addition. </li></ul><ul><li>Multiplication is the inverse of division </li></ul>
5. 5. Solving Equations Using Addition or Subtraction : <ul><li>If a number has been added to the variable, subtract that number from both sides of the equation. </li></ul><ul><li>If a number has been subtracted from the variable, add that number to both sides of the equation. </li></ul>
6. 6. Example 1: Solve m + 7 = 11 <ul><li>m + 7 = 11 </li></ul>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 
7. 7. Example 2: Solve -6 = m - 4 <ul><li>-6 = m - 4 </li></ul>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 
8. 8. Practice <ul><li>j - 3 = -12 -4 + r = 26 </li></ul>+3 +3 j = - 9 +4 +4 r = 30
9. 9. Solving Equations Using Multiplication or Division <ul><li>If a variable has been multiplied by a nonzero number, divide both sides by that number. </li></ul><ul><li>If a variable has been divided by a number, multiply both sides by that number. </li></ul>
10. 10. <ul><li>3 y = 261 </li></ul>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
11. 11. <ul><li>- 1 w = 42 </li></ul>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
12. 12. Practice <ul><li>-6 x = -36 b = 12 </li></ul>-6 -6 x = 6 (-4) -4 (-4) b = -48