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Solve for variable 3x = 6 7x = -21
Do Now Solve for variable 3x = 6 7x = -21
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Solving Two Step Equations
Rules Combine like terms and simplify anything you can Add or subtract constant from both sides (do opposite) Multiply or Divide coefficient from both sides (get variable by itself, do opposite) Solve for variable Substitute answer back in to original problem to check answer
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Solving Two Step Equations
Example 1 2x – 3 = 7 (Step 2) 2x = 10 (Step 3) x = 5 (Step 4) Check 2 (5) – 3 = 7 10 – 3 = 7 7 = 7 ✔ Step 1 – Can we simplify? Step 2 – what is the constant? (-3) Add 3 to both sides of the equation Step 3 – what is the coefficient (2) Divide 2 by both sides of the equation Step 4 Solve Step 5 Check
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Solving Two Step Equations
Example 2 5x + 8 = 43 5x = 35 5 X = 7 Check 5(7) + 8 = 43 = 43 43 = 43 ✔ Step 1 – Can we simplify? Step 2 – what is the constant? (8) Subtract 8 to both sides of the equation Step 3 – what is the coefficient (5) Divide 5 by both sides of the equation Step 4 Solve Step 5 Check
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Solving Two Step Equations
Example 3 -2x + 6 = 10 Step 1 – Can we simplify? Step 2 – what is the constant? Do we add or subtract? Step 3 – what is the coefficient? Do we multiply or divide Step 4 Solve Step 5 Check
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Solving Two Step Equations
Example 4 3x + 6 = 12 Step 1 – Can we simplify? Step 2 – what is the constant? Do we add or subtract? Step 3 – what is the coefficient? Do we multiply or divide Step 4 Solve Step 5 Check
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Solving Two Step Equations
On your Own Equation Check 6x + 12 = - 24 -3x – 10 = 20 4x = 12 2x - 4 = 8
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