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Bellwork Take Chapter 3 Review worksheet from front of classroom, begin working the problems Present your project in Word, PowerPoint, or Visio
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Mrs. Motlow Classroom Procedures Obtaining Help: C3B4ME 1. If you need help, ask a classmate. 2. If not helped, ask another classmate. 3. If still not helped, ask the 3rd and final classmate. 4. If still in need of help, raise your hand. 5. I will come to your desk to provide assistance or ask you to come to my desk. If it is a common question, let me know so we can share the answer with the class. 6. After being helped, quietly return to your seat. You are responsible for helping other classmates when asked!
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Chapter 2 Refresh -4(p+2) + 8 = 2(p – 1) – 7p + 15 -4p - 8 + 8 = 2p – 2 – 7p + 15 -4p + 0 = -5p +13 +5p p = 13 -4(13+2)+8 = 2(13 -1) -7(13) + 15 -60 + 8 = 24 - 91 + 15 -52= -52 Present your project in Word, PowerPoint, or Visio Distribute Combine like terms Solve for p Check
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Amazing Race Review Present your project in Word, PowerPoint, or Visio
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Linear Equations – Process Section Standard Form of a Line Ax + By = C A & B are integers, both not equal to 0, Non-Linear Equation may have xy, 1/x or x 2 6. xy = 6, is this linear? 7. 2x + 3y + 7 = 3, is this linear?, standard form 2x + 3y = 3 – 7 2x + 3y = -4
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Graphing Using Intercepts Intercept, where line crosses an Axis At that point, the other variable is = zero Y Intercept where X = 0 X Intercept where Y = 0 4. Find the x-intercept of x – 2y = 9. x – 2(0) = 9 x = 9
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Graph the equation x – 4y = 2 X Intercept where Y = 0 x = 2 Y Intercept where X = 0 -4y = 2 y = 2/(-4) y = -1/2 Present your project in Word, PowerPoint, or Visio.
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Slope RISE/RUN Higher the Value of Slope Steeper the Incline Approaching Vertical Slope M=1/2 M=1 M=2 M=10
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Slope RISE/RUN Higher the Value of Slope Steeper the Incline Approaching Vertical Lower the Value of Slope Flatter the incline Approaching Horizontal Slope M=1 M=2 M=10 M=1/2 M=1/10
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Positive Slope ▫ M > 0 ▫ Rises from left to right Negative Slope ▫ M < 0 ▫ Falls from left to right Zero Slope ▫0▫0 ▫ Horizontal Undefined Slope ▫ 1/0 ▫ Vertical Slope M > 0 M < 0 M = 0 M = 1/0 Undefined
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Lines you should know y = x y = -x x = 4 y = - 4 x + y = 5 2x + y =8
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9. Graph y = –1/2x. Present your project in Word, PowerPoint, or Visio
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Slope m= rise run Y 2 –Y 1 m= X 2 –X 1 Y X B(x 2, y 2 ) A(x 1, y 1 ) 10. What is the slope of the line through (1, 9) and (-3, 16)? m= 16 - 9 -3 -1 7 -3
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Rate of Change 11. In 2005, there were 12,000 students at Beacon High. In 2010, there were 12,250. What is the rate of change in the number of students? a. 250/yr b. 50/yr c. 42/yr d. 200/yr Present your project in Word, PowerPoint, or Visio
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Direct Variation If y varies directly with x Equation y = k x k is constant of variation When Graphed, k is same as m (slope) 13. If y varies directly as x and y = 3 when x = 10, Find x when y = 8. Y = kx 3 = k(10) 3/10 = k y = 10 x 8 = 10 x 8/10 = x
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Direct Variation If y varies directly with x Equation y = k x k is constant of variation When Graphed, k is same as m (slope) 4. If a shark can swim 27 miles in 9 hours, how many miles will it swim in 12 hours? Y = kx 27= k(9) 3= k y = 3 x y = 3(12) Y = 36 miles
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Direct Variation If y varies directly with x Equation y = k x k is constant of variation When Graphed, k is same as m (slope) A driver’s distance varies directly as the amount of time traveled. After 6 hours, a driver had traveled 390 miles. How far had the driver traveled after 4 hours? Y = kx 390= k(6) 390/6 = k 65 = k y = 65 x y = 65(4) Y = 260 miles
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8 14 20 26 ? The number of seats in each row of a theater form an arithmetic sequence, n th term = a 1 +(n-1)d 14, How many seats are in the 12th row? a 12 term = 8+(12-1)6 a 12 = 8 + (11) 6 = 74 15. Which formula can be used to find the number of seats in any given row? a n = 8+(n-1)6 = 8 + 6n – 6 = 6n + 2 Common Difference = +6
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