Compound and Absolute Value Inequalities
Absolute Value Equations
Piecewise Functions
Equation of a line
System of Equations
100
33ge4x-3ge9
3lexle9
100
2abs(x-6)=8
x=10 and x=2
100
Given this piecewise function, which equation would I use if I wanted to find f(1)
(top, middle, or bottom)
h(x)={(x+3, if, x<-2),(x^2, if, -2<=x<1),(-x+2, if, x>=1):}
bottom
100
Find the equation of the line in point-slope form. Perpendicular to y=3x+2 through the point (5,-2)
y+2=-1/3(x-5)
100
Solve the system of linear equations by graphing
3y+4x=3
x+3y=-6
(3,-3)
200
-5x+7gt47 or -5x+7le-43
x<-8 or xge10
200
3abs(x-2)=-6
NO SOLUTION
200
Use the below function to find f(6)
f(x)={(-x+2,if,x<1),(2,if,1<=x<5),(1/2x+1,if,5<x):}
4
200
Find the equation of the line in slope intercept form. Slope= opposite reciprocal of 1/2 passing through (3,4)
y=-2x+10
200
Solve the system of linear equations by elimination
12x-7y=-2
8x+11y=30
(1,2)
300
-9ge-3x-3gt-24
2lex<7
300
5-2abs(x-3)=3
x=4 and x=2
300
Given the piecewise function below, find f(-1)
g(x)={(-1,if,x<=-4),(-4x+13,if,-4<x<=-3),(x^2+6x+8,if,-3<x<=0),(8,if,0<x):}
3
300
Find the equation of a line with an undefined slope and passes through the point (2,3)
x=2
300
Solve the system of linear equations by substitution.
2x-y=23
x-9=-1
(8, -7)
400
abs( x-4)le12
-8lexle16
400
abs(5x-6)+3=4x
x=3 and x=1
400
What is the domain and range?
D: (-oo, oo)
R: [-3, 1]U(3, oo)
400
Write an equation in slope-intercept form for the line that passes through (4, -2) and (0, -4).
y=1/2x-4
400
What is the solution of
[[-6,-3],[8,4]][[x],[y]]=[[144],[-64]]
no solution
500
abs( x+4) > 9
x<-13 or x>5
500
abs(2x+3)-7=3x
x=-2
500
Given this piecewise function, find f(1) + f(2) - f(4)
f(x)={(x^2,if,x<2),(6,if,x=2),(10-x,if,x>2 and x<=6):}
1
500
Find the equation of the line in Standard Form that passes through (1/4,-2) with a slope of -6.
12x+2y=-1
500
What is the solution of the matrix equation
[[5,3],[2,1]][[x],[y]]=[[-5],[-1]]
[[2],[-5]]