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Equations Lesson 6.9 Equations vs Inequalities SWS 3.1.notebook Inequalites Equations and Inequalities • Students will solve an inequality. • Students will write an inequality from realworld problem situation. Solve each equation. Then check your solution. TEKs 8.8 The student applies mathematical process standards to use onevariable equations or inequalities in problem situations. 8.8A Write onevariable equations or inequalities with variables on both sides that represent problems using rational number coefficients and constants 8.8B write a corresponding realworld problem when given a onevariable equation or inequality with variables on both sides of the equal sign using rational number coefficients and constants 1. 3a 1 = 4 2 2 2. v 6 = 14 9 answer 3. m 5m + 3 = 47 4. Mandy bought a DVD player. The sales clerk says that if she pays $80 now, her monthly payments will be $32. The total cost will be $400. Solve 80 + 32x = 400 to find how many months she will make payments. 10 15 Title Page 1. a = 3 2. v = 90 3. m = 11 4. A 12 11 Warm Up 1. a. n = 17 Practice Answers b. graph – where two lines intersect table – where y vales are the same c. 650 + 30(n – 10) is equivalent to 350 – 3n 2. 8 3. 12 Maintain Your Skills 4. x = 1 1. a. 3.6 x 104 5. n = 4 b. 2.5 x 105 6. h = 1 c. 5.08 x 106 7. x = 0, one solution 2. a. 35,200 8. 0 = 0; all real numbers b. .0000028 c. 81,020,000 3. C Practice Answers What do you call a crushed angle? Practice Worksheet Math Humor What number would make these statements true? Tonight you will have fewer than 100 problems for homework? arectangle rectangle Tomorrow the temperature is going to be greater than 10 degrees. You have at least $3.50 in your piggy bank. Math Humor Introduction 1 Equations Lesson 6.9 Equations vs Inequalities SWS 3.1.notebook equatıons ınequalıtıes Launch click here for video One Answer Many Answers Equations vs Inequalities Launch Cut and tape Labsheet in your journal Find a Friend P < 5s (100 + 2s) 1. P = _________________ 1. < Pull 5s = ________________ (100 + 2s) = __________ 2. At least many boxes to make profit of $200? 2. 3. At least many boxes to break even? _____________________ 4. Write simpler expression. __________________________ 4. P < 3s 100 5. One of the choir members wrote the following expression for profit: 5s – 2(50 + s). Explain whether the expression is equivalent to the original one. Find a friend and tell them the differences between an equation and an inequality. Labsheet Find A Friend ______ Date Be able to stop 911... or the Holocaust? Equations vs Inequalities 1. What is the • equation • one answer difference • = between • graph is dot on number line equations and • graph is line on coordinate plane inequalities ? • inequalities • many answers • >, >, <, < • graph using arrows on number line Graph of x<1 Would You Rather? • graph has shading on coordinate plane Notes 2 Equations Lesson 6.9 Equations vs Inequalities SWS 3.1.notebook 2. How to solve an inequality ? • Same as equation • Variable on one side (use adding / subtracting) • Isolate the Variable (use multiplication / division) (negative # / flip inequality) 3. What are the key phrases for inequality symbols? < • less than • is fewer than > • less than or equal to • no more than • at most ≤ Example • greater than or equal to • no less than • at least ≥ 3x > 15 3 3 x < 5 Notes • greater than • more than • exceeds Notes Write and solve the inequality. Test your answer. Practice Equations vs Inequalities Worksheet + 3; 2 > x Activity Practice Closing Questions Which graph has arrows? (inequality on number line) What happens to an inequality if multiply or divide by negative number? (flip the sign) Closing Questions 3 Attachments IIS Investigation 1.1.webm Greeting Cards ﴾equations﴿.mp4