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Unit 2 Linear Function

Practice linear function problems, including midpoint and distance between points, line equations, conversions, simultaneous equations, and inequalities.

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Unit 2 Linear Function

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  1. Unit 2Linear Function

  2. 5 min 2 min 1 min 3 min 10 s 4 min 5 s 时间到 Question1 (3 points 5 minutes) Given A (3,5) B(-2,-4) 1. Find the midpoint of these two points 2. Find the distance between these two points 3. Find the line equation going through these two points

  3. 5 min 2 min 1 min 3 min 10 s 4 min 5 s 时间到 Question2 (4 points 5 minutes) Given line L y=-3x+5 1. Find an equation of the line through (0,-3) and parallel to Line L. 2. Find an equation of the line through (0,-3) and perpendicular to line l.

  4. 4 min 2 min 1 min 10 s 5 s 时间到 3 min Question3 (4 points 4 minutes) Convert Line y= -2/5 x + 3 to Standard form (ax + by=c), then find the y-int and x-int and slope

  5. 4 min 2 min 1 min 10 s 5 s 时间到 3 min Question4 (2 points 4 minutes) Given line A 3x-2y=-5 1. Find the equation of the line going through ( -2,-3) and parallel to Line a 2. Find the Equation of the line going through (-2, -3) and perpendicular to line A

  6. 8 min 7 min 6 min 2 min 1 min 5 min 3 min 10 s 4 min 5 s 时间到 Question5 (3 points 8 minutes) Solve the following simultaneous equations. 3x+5y=7 2. -2x+3y=-1 5x-2y=-1 3x-y =-3 3. 1/x+2/y = 4 2/x+3/y = 5

  7. 6 min 2 min 1 min 5 min 3 min 10 s 4 min 5 s 时间到 Question6 (4 points 6 minutes) Solve the following inequality and Graph the solution -3x + 19 < 2x – 7 -x +3 ≤ 2x – 3 < -5x -1/3

  8. 8 min 7 min 6 min 2 min 1 min 5 min 3 min 10 s 4 min 5 s 时间到 Question7 (4 points 8 minutes) Shade the region of y>3x-5 2x+3y≤4 3x-5y≥-2 2x+3y≥4 and 3x-2y≤6

  9. 4 min 2 min 1 min 10 s 5 s 时间到 3 min Question8 (4 points 4 minutes) Find the maximum value of 2x+3y such following inequalities are satisfied 4x+3y≤21 2x-y≥-2 y≥-4

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