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It is important to learn this process, so that you can apply it to more difficult equations! Solving One-Step Equations left side We can only have one = sign in the equation. Every equation has 2 sides, separated by the = sign. 6 + 3x = 12 right side We also use INVERSE OPERATIONS. The inverse of multiplication is division. The inverse of division is multiplication. The inverse of subtraction is addition. The inverse of addition is subtraction. Example 1 The inverse of addition is subtraction, so we need to subtract 9 from both sides of the equation. We need to UNDO the 9, which is added to p. p + 9 = 12 p - 9 = - 9 3 You must show the steps of solving your equations in this manner! Example 2 We need to UNDO the 3, which is subtracted from s. The inverse of subtraction is addition, so we need to add 3 to both sides of the equation. s s - 3 = 17 + 3 = + 3 20 You must show the steps of solving your equations! Example 3 The inverse of multiplication is division, so we need to divide both sides of the equation by 5. We need to UNDO the 5, which is multiplied by x. 5x = 35 5 x = 5 7 You must show the steps of solving your equations! So what would we do here? x is being divided by 3. What is the inverse operation? • x 3 = 6 • x= fill in blanks--solve 3x=6 3x=6 x= fill in blanks--solve • x -5 = 8 • x= fill in blanks--solve -4x = 24 -4x=24 x= fill in blanks--solve • x -9 = -7 x= • fill in blanks--solve 7x = -56 7x = -56 x= fill in blanks--solve -7x = -35 -7x = -35 x= fill in blanks--solve • x -4 = 1 6 • x= |