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Bell Work Evaluate the expression. 9/8/14 1. 11 8 2. 3 6 3. 5 8 4. 3 4 5. 12 5 6. 8 14 7. 6 8 8. 12 7 9. 15 6 Next Chapter Chapter 2 Equations Heading 5/24/2017 2.1A Solving One-Step Equations (add + subtract) TSWBAT: solve one-step equations using addition and subtraction. Students solve multi-step problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step. Notes • Linear Equations • the exponent of the variable(s) is one. • variable is not in the denominator, inside a square root symbol, or inside an absolute value symbol. Linear Equation x 5 14 8 3x 4 x 5 2 Not a Linear Equation x2 4 8 x 5 1 x 7 Notes • Solving Equations • Goal: to get the variable by itself on one side of the equation. This is known as isolating the variable. • This is also called solving (to solve) an equation. • When we solve an equation, we find the value that makes the equation TRUE, called the solution. 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 • Inverse Operations = Inverse means opposite The inverse of … • addition is subtraction. • subtraction is addition. • multiplication is division. • division is multiplication. Notes Solve the equation. Ex. Ex. Ex. x 4 3 What is the x 8 2 What is thex 1 9 inverse? 8 8 inverse? x 1 9 4 4 Check your Check your 1 1 x7 x 6 answer! answer! x 10 Now you try. Ex. Ex. Ex. x 6 8 6 6 x 14 x 7 3 7 7 x4 x 7 4 x 7 4 7 7 x 11 Notes Solve the equation. Ex. Ex. Ex. x 3 8 What is the x 9 2 What is the x 4 6 inverse? 9 9 inverse? 4 4 3 3 Check your Check your x 5 x 7 x 10 answer! answer! Now you try. Ex. Ex. x3 7 3 3 x4 Ex. x 8 5 8 8 x 3 x 6 3 6 6 x 9 Notes Solve the equation. Ex. Ex. 9 x 12 What is7the x 5 inverse? 9 9 5 5 Check your x 3 2 x answer! Ex. What is the 2 8 x inverse? 8 8 Check your 10 x answer! Now you try. Ex. Ex. Ex. 5 x 9 5 5 x 4 13 x 6 6 7 x 6 4 12 x 12 12 8 x Summary Write a summary about today’s lesson. To solve equations involving addition or subtraction just do the inverse operation. If the ___________ subtraction if the problem problem has addition, do ___________, addition If you ever have a double has subtraction, do ________. change change. negative do leave, _______, 9/8 Ticket Out the Door Complete the Ticket Out the Door without talking!!!!! Put your NAME & class hour on the index card. When finished, turn your index card face DOWN. Solve the equation. x9 2 Today’s Homework 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 2.1A Solve the equation. 1. x3 7 2. x7 5 3. x 4 5 4. x 5 13 5. x 6 2 6. x 4 7 7. x 3 7 8. x 4 1 9. x 2 9 10. x 2 4 11. x 5 2 12. x 7 11 13. 5 x 13 14. 8 x 3 15. 9 x 5