Equations
Inequalities
Graphs of Equations
Absolute Values
Midpoints and Distance
100
2x + 1 = 4
x = 3/2
100
x + 6 < 9
x < 3
100
Find the slope of (4,-15),(7,0)
m = 3
100
|x - 4| = 10
x = 6, -14
100
What is the midpoint formula?
((x1 + x2)/2 , (y1 + y2)/2)
200
(1/4)x - 3 = 0
x = 12
200
8 - 3x >= 20
x =< -4
200
Put a line in point-slope form when: m = (5/2) and goes through (-5,2)
(y - 2) = (5/2)(x + 5)
200
|2x + 7| = 4
x = -3/2, -11/2
200
What is the distance formula?
sqrt((x1 - x2)^2 + (y1 - y2)^2)
300
-3x - 5 = 4x + 16
x= -3
300
7x - 3 > 3(x + 1)
x > (3/2)
300
Are the two lines passing through the given points parallel, perpendicular, or neither? What are their slopes? L1: (-6,12),(-3,-3) L2: (8,-4),(7,-9)
L1 = -5 L2 = 5
300
|(1/3)x - (7/3)x + 6| = 36
x = -5, 7
300
What is the midpoint of (-10,11) , (2,-7)?
(-4,2)
400
(2/3)x - 5 = 11 - (1/3)x
x=16
400
(2/3)x + 12 < (1/6)x + 18
x < 12
400
Double Jeopardy!!! Graph the inequality: x - 2y < 6
m = 1/2 y-intercept = -3
400
|x(4 - 8) + 2|= -30
No solution
400
What is the distance between the points (9,-2),(6,-18)
Distance = 5
500
4(3x - 4) + 2 = 1 - (2 - x)
x = (13/11)
500
-7 =< -5x - 2 < 8
1 >= x > -2
500
A line passes through the points (5,3) and (-1,7), put this line into slope-intercept form.
y= -(2/3)x + (19/3)
500
2|x - (7x + 5)| = 2|x - 7|
x = 2/7, -5/11
500
What is the distance between (2,-4),(-7,13)
9*sqrt(2)
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Algebra III: Jeopardy Challenge 1
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