Absolute Value Transformations
Solving Absolute Value
Solving Absolute Value Inequalities
Solving Systems of Equations
Solving Systems of Equations using Matrices
100
Determine the domain of the following absolute value function.
Domain: All real numbers
100
Solve the following absolute value equation.
35=5|x+6|
x=-15
x=3
100
Solve the inequality and graph the solution on the number line.
|6x-5|<2
(1/2)<x<(7/6)
100
Solve the systems of equations.
y=x2+10x+11
y=x-7
(-3,-10) & (-6,-13)
100
Solve the system of equations.
x=2
y=-3
z=1
200
Determine the range of the following absolute value function.
Range: [5, infinity)
200
Solve the following absolute value equation.
|-2x-5| = 3
x=-4
x=-1
200
Solve the inequality and graph the solution on the number line.
|2x-8|-1≤3
2≤x≤6
200
Solve the systems of equations.
y=x2+2x+8
y=3x+2
(-3,-7) & (2,8)
200
Solve the system of equations.
x=4
y=-2
z=3
300
Determine the vertex of the following absolute value equation.
Vertex: (0,5)
300
Solve the following absolute value equation.
3|x-2|=12
x=6
x=-2
300
Solve the inequality and graph the solution on the number line.
|3x-2|<-4
No Solution
300
Solve the systems of equations.
y=2x2+4x+3
y=4x-1
No Solution
300
Solve the systems of equations.
x=1625/4
y=175/8
z=575/8
400
Determine the equation for the absolute value function.
g(x) = f(x)+5 or g(x) = |x|+5
400
Solve the following absolute value equation.
23=|x-8|+6
x=-9
x=25
400
Solve the inequality and graph the solution on the number line.
|-5x+8| + 2<25
-3<x<6.2
400
Solve the systems of equations.
y=x2-3x-4
y=x-8
(2,-6)
400
Solve the system of equations.
x= -56/13
y=70/13
z=40/13
500
Consider the function f(x) = |x| and g(x) = |x+3| -4. Describe the following transformations that occurred.
- Left 3 units
- Down 4 units
500
Solve the following absolute value equation.
|x|+16=32
x=-16
x=16
500
Solve the inequality and graph the solution on the number line.
-12<|x-7|
All real numbers
500
Solve the system of equations.
y=x2+2x+5
y=5x+15
(-2,5) & (5,40)
500
2x+6y+12z=-6
x+3y+6z=-3
3x-2y+3z=8
Many Solutions