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2b solving real world problems equations 3day lesson

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Solving equations with word problems - 7th grade math

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2b solving real world problems equations 3day lesson

1. 1. 2b Solve equations that represent algebraic and real-world problems using multiple methods including the real number properties. (DOK 1)<br />By: Deia Sanders<br />
2. 2. Solving Equations<br />Ask yourself 2 questions<br />What operation did they use?<br />What is the inverse (opposite)?<br />Then solve the problem!<br />
3. 3. Solving One-Step Equations involves application of the Inverse Operations of Addition/Subtraction and Multiplication/Division.<br />Inverse operations are “opposite” operations.<br />Addition is the “opposite” of subtraction.<br />Subtraction is the “opposite” of addition.<br />Multiplication is the “opposite” of division.<br />Division is the “opposite” of multiplication.<br />All equations are solved using inverse operations.<br />
4. 4. Examples<br />Ask yourself 2 questions<br />What operation did they use?<br />What is the inverse (opposite)?<br />Then solve the problem!<br />X + 2 = 3<br />X + 2 – 2 = 3 – 2<br />X = 1<br />X – 2 = 3<br />X – 2 + 2 = 3 + 2<br />X = 5<br />
5. 5. More Examples<br />Ask yourself 2 questions<br />What operation did they use?<br />What is the inverse (opposite)?<br />Then solve the problem!<br />6a = 42<br />
6. 6. Additional Examples<br />Y + 3 = 7<br />a- 6 = 8<br />3x = 33<br />X + 8 = 12<br />3b = 27<br />
7. 7. Handout #1 page 117<br />Solving one-step equations<br />
8. 8. Solving Two-Step Equations<br />
9. 9. Solving Two-Step Equations<br />Strategy: A Sad Day is Monday<br />Add Subtract Divide Multiply<br />2a + 3 = 15<br />
10. 10. Examples<br />2a + 3 = 15<br />Add<br />Subtract<br />Divide<br />Multiply<br />
11. 11. Additional Examples<br />Add<br />Subtract<br />Divide<br />Multiply<br />2b – 7 = 15<br />4 + 5c = 15<br />5b – 8 = 7<br />2b + 3 = 23<br />
12. 12. Handout #2 Page 119<br />
13. 13. Word Problems<br />
14. 14. Word Problems<br />Strategies for solving word problems:<br />• Draw a picture, make a model, or act it out.<br />• Work backwards from the answer.<br />• Make a table or systematic list.<br />• Estimate, check, and revise.<br />• Look for a pattern.<br />• Solve a simpler related problem.<br />• Eliminate possibilities.<br />
15. 15. Example<br />John earned \$287 from mowing yards. He spent his money to buy 4 pair of blue jeans at a cost of b dollars each and concert tickets that cost \$95. What was the cost of each pair of jeans?<br />(K) List/underline key words.<br />(A) What is the problem asking? What do you have to find?<br />(S) What strategies could you use to answer the questions?<br />(E) What answer choices could you eliminate and why?<br />
16. 16. Example<br />Kendrick visited the Bulldog Video Store and spent a total of \$14. A membership costs m dollars. It costs \$4 to rent one video. If Kendrick rented two videos the same night that he purchased his membership, what is the cost of the membership?<br />(K) List/underline key words.<br />(A) What is the problem asking? What do you have to find?<br />(S) What strategies could you use to answer the questions?<br />(E) What answer choices could you eliminate and why?<br />
17. 17. Example<br />Sara and Ray purchased a new stove for their home. The stove cost \$388. They paid \$100 down and then paid the rest in 6 equal payments. Approximately how much is each payment?<br />(K) List/underline key words.<br />(A) What is the problem asking? What do you have to find?<br />(S) What strategies could you use to answer the questions?<br />(E) What answer choices could you eliminate and why?<br />
18. 18. Handout #3 page 121<br />