Presentation on theme: "1-12 Multiplication and Division Equations Course 2 Review with I pads"— Presentation transcript:
11-12Multiplication and Division EquationsCourse 2Review with I padsGET YOUR IPAD – EducreationsIntroduce Solving equationswith multiplication and divisionI can: solve one-step equations by using multiplication or division.
2ReviewSolve each equation. SHOW ALL WORK and Check your answer.1. x – 9 = 42. y + 6 = 723. 21 = n – 41= w + 315. 81 = x – 102x = 13;13 – 9 = 4y = 66;= 72n = 62;21 =w = 96;127 =x = 183;81 =
3If a variable is divided by a number, you can often use multiplication to isolate the variable. Multiply both sides of the equation by the number.
4Solving an Equation by Multiplication Solve the equation = 13. Check your answer.h2h2= 13Think: h is divided by 2, somultiply both sides by 2 toisolate h.h2(2)= 13(2)h = 26Checkh2= 13262?= 13Substitute 26 for h.13 = 13?26 is a solution.
5 Check It Out: Example 1 Solve the equation = 30. Check your answer. 5Solve the equation = 30. Check your answer.x5= 30x5(5)= 30(5)Think: x is divided by 5, somultiply both sides by 5 toisolate x.x = 150Checkx5= 301505?= 30Substitute 150 for x.30 = 30?150 is a solution.
7If a variable is multiplied by a number, you can often use division to isolate the variable. Divide both sides of the equation by the number.
8Additional Example 2: Solving an Equation by Division Solve the equation 51 = 17x. Check your answer.51 = 17xThink: x is multiplied by 17,so divide both sides by 17 toisolate x.51 = 17x17173 = xCheck51 = 17x51 = 17(3)?Substitute 3 for x.51 = 51?3 is a solution.
9Check It Out: Example 2Solve the equation 76 = 19y. Check your answer.76 = 19yThink: y is multiplied by 19,so divide both sides by 19 toisolate y.76 = 19y19194 = yCheck76 = 19y76 = 19(4)?Substitute 4 for y.76 = 76?4 is a solution.
10I can: solve one-step equations by using multiplication or division. Practice – pI can: solve one-step equations by using multiplication or division.
11Additional Example 3: Health Application Trevor’s heart rate is 78 beats per minute. How many times does his heart beat in 10 seconds?Use the given information to write an equation, where b is the number of heart beats in 10 seconds.If you count your heart beats for 10 seconds andthen multiply that by 6, you can find your heart ratein beats per minute.
12Additional Example 3 Continued Beats in 10s times = beats per minutesb · =Think: b is multipliedby 6, so divide bothsides by 6 to isolate b.6b = 786b = 78b = 13Trevor’s heart beats 13 times 10 seconds.
13Check It Out: Example 3During a stock car race, one driver is able to complete 68 laps in 1 hour. How many laps would he finish in 15 minutes?Use the given information to write an equation, where n is the number of laps completed in 15 minutes.If you count the number of laps in 15 minutes andmultiply by 4, you can find the number of lapscompleted in 1 hour.
14Check It Out: Example 3 Continued Laps in 15 min times = Laps in 1 hourn · =4n = 68Think: L is multipliedby 4, so divide bothsides by 4 to isolate n.4n = 68n = 17The driver would complete 17 laps in 15 minutes.
16PracticeP 58 # 1-6, 8-19I can: solve one-step equations by using multiplication or division.
17Lesson Quiz: Part II6. The cost of each ticket at the carnival was $0.25.Li bought $7.50 worth of tickets. How manytickets did she buy?30
18Problem of the Day What 4-digit number am I? • I am greater than 4,000 and less than5,000.• The sum of my hundreds digit and my onesdigit is 9.• Twice my tens number is 2 more than mythousands digit.• The product of my hundreds digit and myones digit is 0.• I am not an even number.4,039