Solving Equations and Inequalities
Function Notation
Linear Functions
Solving Systems
100
Solve for h.
V=1/3pir^2h
h=(3V)/(pir^2)
100
Evaluate the function.
f(x)=1/3x+7 ; f(-9)
4
100
Write the equation of the linear function.
y = -2x + 2
100
Solve the system.
{(y=-4x+3),(4x-2y=6):}
(1, -1)
200
Solve for x.
|1/4x-5|=7
x=-8 or 48
200
Find the x- and y-intercept for the line
-1/2x+4y=-20
(40, 0) and (0, -5)
200
Write an equation of the line with a slope of -4 and passing through the point (-5, 9)
y = -4x - 11
200
Solve the system.
{(x+4y=6),(x-y=1):}
(2, 1)
300
Solve.
-9>=-7x+5
x>=2
300
Write the linear function f with the values f(0) = 8 and f(4) = 20
f(x) = 3x + 8
300
Write an equation of a line that passes through the points (-4, 7) and (2, -5).
y = -2x - 1
300
Solve the system.
{(9x-2y=34),(5x+2y=-6):}
(2, -8)
400
Solve the compound inequality.
-3x+4>13 or 3/4x-7>2
x<-3 or x>12
400
Find the slope of the line containing the points (-1, 9) and (7, 2)
-7/8
400
What is the slope of the line that is perpendicular to the line -6x - 3y = 21
1/2
400
You spend $20 total on tubes of paint and disposable brushes for an art project. Tubes of paint cost $4 each and paintbrushes cost $0.50 each. You purchase twice as many brushes as tubes of paint. How many brushes and tubes of paint do you buy?
8 brushes and 4 tubes of paint
500
Solve.
-4<3x +5<=26
-3<x<=7
500
g(x)=-2/5x+9;g(x)=-3
Find the value of x so that the function has the given value.
x = 30
500
Write an equation of the line that passes through (1, 5) and (1, -9)
x=1
500
Solve the system.
{(8x-7y=-3),(6x-5y=-1):}
(4, 5)