Bell Work 9/16/14 Solve the equation. 1. 4. 3x 7 5 1 2 x 7 9 2. 6 x 4 8 3. 5. 2 7x 9 6. x 5 3 12 11 13 3 x Yesterday’s Homework 1. Any questions? 2. Please pass your homework to the front. • Make sure the correct heading is on your paper. • Is your NAME on your paper? • Make sure the homework is 100% complete. • Incomplete work will NOT be accepted. Heading 4/10/2015 2 .3A Solving Multi-Step Equations (3-Step) TSWBAT: solve 3-step equations. Students solve multi-step problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step. Notes • Steps for Solving Linear Equations 1. Simplify both sides of the equation. • Distribute and/or combine like terms. 2. Collect the variables to one side of the equation. • Collect to the side with the greater variable. 3. Use inverse operations to isolate the variable. • PEMDAS backwards. • The Golden Rule (of Mathematics) What you do to one side, you must do to the other. Notes Solve the equation. Ex. 2 x 3 24 2 x 6 24 6 6 2 x 18 2 2 x9 Now you try. Ex. Distribute first. 4 x 5 8 What operation4 x 20 8 do I do next? 20 20 What operation do I do next? 4 x 28 4 4 x7 Notes Solve the equation. Ex. 3 x 4 27 3 x 12 2 7 12 12 3 x 15 3 3 x 5 Now you try. Ex. Distribute first. 2 x 6 18 What operation 2 x 12 1 8 do I do next? 12 12 What operation 2 x 30 do I do next? 2 2 x 15 Notes Solve the equation. Ex. 3 x 4 x 35 7 x 35 7 7 x 5 Ex. Combine like 20 terms first. 20 What operation do I do next? 5 4 4x 9x 5 x 5 x Now you try. Ex. Ex. 2 x 6 x 28 4 x 28 4 4 x7 32 32 4 8 2 x 2 x 4 x 4 x Notes Now you try. Solve the equation. Ex. Ex. 2 x 3 5 x 9 27 7 x 6 27 6 6 7 x 21 7 7 x 3 1like 4 terms 4 x first. 6 7x 2 Combine What operation 8 14 3 x do you 8do next? 8 Whatoperation 6 3 x do you do next? 3 3 2 x Summary To solve a 3-step equation you first have to combine like terms. After that isolate distribute and/or ________ adding or subtracting. Finally the variable term by _______ isolate the variable completely by multiplying or dividing ________. Today’s Homework #1-13 on next slide & Worksheet 2.3A Rules for Homework 1. Pencil ONLY. 2. Must show all of your work. • NO WORK = NO CREDIT 3. Must attempt EVERY problem. 4. Always check your answers. Homework 2.3A Solve the equation. 1. 2 x 5 16 2. 3 x 2 12 3. 4 x 3 32 4. 14 2 x 5 5. 30 6 x 2 6. 24 6 x 3 7. 7 x 2 x 25 8. 27 4 x 7 x 9. 3 x 5 x 40 10. 3 x 5 x 4 20 11. 3 x 2 5 x 10 12. 12 x 5 x 6 13. 20 3 x 8 7 x Ticket Out the Door Complete the Ticket Out the Door without talking!!!!! Talking = time after the bell! Put your NAME on the paper. When finished, turn your paper face DOWN. Solve the equation. 5 x 2 20