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Solving Two-Step Equations Objectives: …to solve two-step equations involving whole numbers Assessment Anchor: Not Available at this time. NOTES ***EQUATIONS ARE LIKE SEE-SAWS, AND MUST REMAIN BALANCED!! To solve a two step equation: 1. Locate the variable in the equation 2. Use the inverse (opposite) operation on both sides of the equation a) FIRST use addition or subtraction to isolate the variable part b) SECOND use multiplication or division to isolate the variable 3. Show your answer EXAMPLES 1) Add 7 on both sides Divide by 2 on both sides 2x – 7 = 15 3x – 12 = 18 2x – 7 = 15 +7 +7 2x = 22 2 2 3x – 12 = 18 x = 11 3x = x= Solving Two-Step Equations 2) Subtract 10 on both sides Divide by 4 on both sides 3) Subtract 19 on both sides Multiply by 7 on both sides 4) 4x + 10 = 34 5x + 13 = 33 4x + 10 = 34 – 10 – 10 4x = 24 4 4 x=6 5x + 13 = 33 x + 19 = 24 7 x + 40 = 51 2 x + 19 = 24 7 – 19 – 19 7•x=5•7 7 x = 35 9 = x – 12 3 Add 12 on both sides Multiply by 3 on both sides 9 = x – 12 3 + 12 + 12 3 • 21 = x • 3 3 63 = x 5x = x= x + 40 = 51 2 x= 2 x= 4=x–9 5 4=x–9 5 =x 5 =x MORE EXAMPLES 2x – 13 = 49 x – 10 = 2 6 18 + 5k = 73