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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 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. 6. After being helped, quietly return to your seat. If it is a common question, let me know so we can share the answer with the class. 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 Distribute Combine like terms Solve for p Check Present your project in Word, PowerPoint, or Visio Amazing Race Review Present your project in Word, PowerPoint, or Visio 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 x2 6. xy = 6 , is this linear? 7. 2x + 3y + 7 = 3, is this linear?, standard form 2x + 3y = 3 – 7 2x + 3y = -4 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 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 Slope • Slope RISE/RUN M=10 M=2 • Higher the Value of Slope • Steeper the Incline • Approaching Vertical M=1 M=1/2 Slope • Slope RISE/RUN M=10 M=2 • Higher the Value of Slope • Steeper the Incline • Approaching Vertical • Lower the Value of Slope • Flatter the incline • Approaching Horizontal M=1 M=1/2 M=1/10 Slope • Positive Slope ▫M>0 ▫ Rises from left to right • Negative Slope ▫M<0 ▫ Falls from left to right • Zero Slope ▫0 ▫ Horizontal • Undefined Slope ▫ 1/0 ▫ Vertical M>0 M=0 M<0 M = 1/0 Undefined Lines you should know 2x + y =8 x=4 y = -x y=x x+y=5 y=-4 9. Graph y = –1/2x. Present your project in Word, PowerPoint, or Visio Slope m= rise run m= Y2 –Y1 X2 –X1 A(x1, y1)Y 10. What is the slope of the line through (1, 9) and (-3, 16)? B(x2, y2) X m= 16 - 9 7 -3 -1 -3 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 Direct Variation 13. If y varies directly as x and y = 3 when x = 10, Find x when y = 8. If y varies directly with x Equation y = k x k is constant of variation When Graphed, k is same as m (slope) y = 10 x Y = kx 3 = k(10) 3/10 = k 8 = 10 x 8/10 = x Direct Variation If y varies directly with x Equation y = k x k is constant of variation 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 When Graphed, k is same as m (slope) y=3x y = 3(12) Y = 36 miles Direct Variation If y varies directly with x Equation y = k x k is constant of variation 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 When Graphed, k is 65 = k same as m (slope) y = 65 x y = 65(4) Y = 260 miles The number of seats in each row of a theater form an arithmetic sequence, 8 14 20 26 ? Common Difference = +6 nth term = a1+(n-1)d 14, How many seats are in the 12th row? a12 term = 8+(12-1)6 a12= 8 + (11) 6 = 74 15. Which formula can be used to find the number of seats in any given row? an = 8+(n-1)6 = 8 + 6n – 6 = 6n + 2