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Warm-up: Solving Equations and Proportions

This warm-up activity covers solving linear equations and proportions, as well as percentage and unit rate problems. It also includes a quiz and review of previous lessons.

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Warm-up: Solving Equations and Proportions

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  1. Warm up 8/21 • solve for x: • 1. 8(x-5) = 72 • 2. -27 = 3(x-3) • 3. 5-4c=c+20

  2. Be seated before the bell rings DESK Warm-up (in your notes) Agenda: Warmup Go over hw p. 70 Note 2.1 & 2.2 notes homework • Quiz – Tuesday 8/12

  3. Don’t forget test retakes

  4. Notebook 1 Table of content 2.1 Linear Equations/ 2.2 Proportions Page 1) 1-1 Sets of Numbers /1.2 Properties of Numbers 1 2) 1-3 Square Roots 3) 1-4 Simplify Algebra Expression 4) 1.6 Relations/1.7 functions 5) 1.9 Parent Functions 6) 2.1 Linear Equations/ 2.2 Proportions

  5. 2.1 Linear Equations/ 2.2 Proportions Learning targets • 2.1: I can solve linear equations using a variety of methods • 2.1: I can solve and graph linear inequalities in one variable • 2.2: I can solve proportions • 2.2: I can solve percentage and unit rate problems using a proportion

  6. Give one, get one • Time to look through the textbook • -Take three stick notes and answer 3 questions( one on each) . Use complete sentences • - Share it with some one around the classroom

  7. p. 90 - 99 1) What are some ways to solve a linear equation? 2) What are some things I need to know about solving inequalities? 3) What are proportions? How do you solve them? What are rates?

  8. 2.1 Linear Equations/ 2.2 Proportions • When Solving equations, these are things I should do. • Whatever I do to one side of the equation, I should to do to the other side of the equation • I should use the distributive property • Combine like-terms and put all variables on one side

  9. There might be contradictions when solving an equation. Answer: No solution Answer: All real numbers

  10. Solving Inequalities solve like a normal. EXCEPT when you multiply or divide by a negative, you have to switch the inequality sign. -2x < 8 Ex: 9x + 4 < 12x − 11

  11. Solve Proportions Cross Product also allows use to solve proportions 3(w+3) = 5(6) 3w+9 = 30 9x= 27(4) -9 -9 9x= 108 9 9 3w = 21 x = 12 3 = 3

  12. Use Cross Product to solve Proportions 5(x+1) = 3(x+2) 5x+5 = 3x + 6 -5 -5 -3x -3x 2x = 1 2 = 2

  13. Percent Problems Percent = part 100 whole At Clay High School, 434 students, or 35% of the students, play a sport. How many students does Clay High School have? 35x = 43400 434 35 = 35 35 x 100 x = 1240 Clay High School has 1240 students.

  14. Percent Problems Percent = part 100 whole A college brochure states that 11.5% of the students attending the college are majoring in engineering. If 2400 students are attending the college, how many are majoring in engineering? 27600 = 100x x 11.5 = 100 100 2400 100 x = 276 276 are majoring in engineering.

  15. Summarize: In 20 words are less summarize the what you learned this week. You may reference your notebook.

  16. Cut up your triangles Solve the problems on the ws. Match problems to solutions to form large hexagon

  17. More Examples http://www.quia.com/rr/4096.html Rations http://www.quia.com/rr/924294.html

  18. 16 24 = p 12.9 2.2 Proportions 14 c = A. B. 88132 88c =1848 206.4 = 24p 8888 2424 c = 21 8.6 = p

  19. -1 -1 -1 1 1

  20. y77 y 77 152.5 = = = = = 1284 1284 x7 924 84y 2.5x 105 = 2.5 2.5 8484 More Examples Solve each proportion. 15 2.5 A. B. x7 Set cross products equal. 924 = 84y 2.5x =105 Divide both sides. 11 = y x = 42

  21. Lesson Quiz: Part I • Solve each proportion. • 2. • 3. The results of a recent survey showed that 61.5% of those surveyed had a pet. If 738 people had pets, how many were surveyed? • 4. Gina earned $68.75 for 5 hours of tutoring. Approximately how much did she earn per minute? g = 42 k = 8 1200 $0.23

  22. Lesson Quiz: Part III 5. A 12-foot flagpole casts a 10 foot-shadow. At the same time, a nearby building casts a 48-foot shadow. How tall is the building? 57.6 ft

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