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Warm ups - simplify 3(x - 4) + 5x +10 8x + 7(2y - 3) - 3x 5+ 2( y + 3) - 7 y +1 5(2x - 4) - 3(x +1) Math Binder 1. 2. 3. 4. 5. Current Notes Old Notes Homework Review Sheets Quizzes/Tests 3-3 Solving Multistep Equations Objective: To solve equations using add., subt., mult., and division. Examples 1 – 3 (watch & listen) 5n + 6 = -4 -6 -6 5n = -10 5 5 n = -2 17 = 7y + 87 y 9 6 5 -9 -9 y (5) 3 (5) 5 y 15 Examples 4 – 6 (do with me) 0.6n 1.5 1.8 d-4 =3 2 x 48 3 Example 7 – 9 (with a partner) 3 y 1 8 d 1 6 3 54 3 x 30 x TOO (Try on your own) p 5 9 4 m 6 31 5 Solve. 3( x 1) 5 3x 2 5 2( x 3) 7 x 1 Recap with a partner… 1) 2) Explain to your partner how to solve a multi-step equation. Explain how to solve the following equation: 3 a 8 11 2 Homework Pg. 160 # 17 – 33 odd Check your answers in the back of the book. Math Lab Review today’s lesson Homework Please finish worksheets from last week: Why did the ant run across the cracker box? What did the Spanish Farmer say to his chicken? Objective The student will be able to: solve two-step equations. Designed by Skip Tyler, Varina High School To solve two-step equations, undo the operations by working backwards. x Example: 3 7 2 Ask yourself, 1. What is the first thing we are doing to x? 2. What is the second thing? Recall the order of operations as you answer these questions. • Dividing by 2 • Subtracting 3 To undo these steps, do the opposite operations in opposite order. 1) Solve 2x - 1 = -3 1. 2. 3. 4. 5. 6. Draw “the river” Add 1 to both sides Simplify Divide both sides by 2 Simplify Check your answer +1 +1 2x = -2 2 2 x = -1 2(-1) - 1 = -3 -2 – 1 = -3 x 2) Solve 48 3 1. 2. 3. 4. 5. 6. Draw “the river” Add 4 to both sides Simplify Clear the fraction -Multiply both sides by 3 Simplify Check your answer +4 +4 x 3 · 12 · 3 3 x = 36 36 48 3 12 – 4 = 8 Try these on your own... x=3 7 4w = 16 y=8 -2 2x = 12 3 -2z = -12 3x = 9 -4 The answers... x = 21 w=4 y = -16 x = 18 z=6 x = -12