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Worksheets12-10
Total questions: 10
Worksheet time: 3hrs 30mins
Warm Up #1: Which graph shows a system of linear equations with no solution? How do you know?
The first one because it crosses at two points.
The second one because the line is horizontal.
The third one because the graphs never cross.
Infinite
Warm Up #2: Choose the correct order of the vertices below: y = ax2 , y = ax2+ c, y = ax2 + bx + c
(0, 0), (0, 0), (0, 0)
(a, x), (a, c), (b, c)
(0, 0), (0, c), (-b/2a, y value after plugging in x = -b/2a)
(a, 0), (0, c), (a, b)
After First Essential Understanding #1: Why does this system have one solution?
It has a horizontal line.
The line and curve intersect at one point.
The quadratic function faces upwards.
Every math problem has only one solution.
Practice 1:
(-2, 5)
(2, 1)
(0, 1)
(0, 5)
Practice 2: Solve.
(0, 4), (-3, -5)
(3, 4), (-1, 4)
9
(4, 4)
After Problem 2: Why might it have been mathematically easier to subtract the equations with Pool A minus Pool B?
The negative on the x2 would turn to a positive, so we wouldn't have to factor out a negative.
The smaller numbers would be on bottom.
After GOT IT Problem 2: Why does elimination work well for solving these functions?
Since both equations equal y, subtracting quickly eliminate the y values.
Because they are in slope-intercept form.
Since quadratics have vertices and lines have slopes, they intersect.
Because I said so.
Practice 3:
(-1, -7)
(6, -13), (2, -9)
(1, -6), (3, -10)
(1, -8), (2, -9)
Practice 4:
day -4, -796 players
day 3, 541 players
day 13, 2451 players
The Day After Tomorrow
(skip practice 5) Practice 6: Solve.
(3, 4), (1, 5)
(-1, -5), (0, 0)
(-4, -41), (1/3, 7/3)
