Variation
Graphing
Simplifying
Solving
100
State whether y varies directly or inversely with x.
34xy = 2
Y varies inversely with x
100
State domain and range
y = (3x+4)/(3x-9)
D: x ≠ 3, R: y ≠ -1
100
Simplify and state any domain restrictions.
(x^2-3x-18)/(x^2-7x+6)
(x+3)/(x-1)
D: x ≠ 6, 1
100
Solve for x.
15/x+4/5 =7/x
x = -10
200
State whether y varies directly or inversely with x and then write a model for y
Inverse variation
y = (-24)/x
200
Graph and state the domain and range
y = (-5)/(x+2) -6
D: x ≠ -2, R: y ≠ -6
200
Simplify and state any domain restrictions.
(x^2(x-4))/(x-3)*((x-3)(x+6))/x^3
((x-4)(x+6))/x
D: x ≠ 3, 0
200
Solve for x, check your solutions.
(-1)/(x-3) = (x-4)/(x^2-27)
x = -3/2, 5
300
Y varies directly with x. Write a function to model y that passes through the point (5, 100)
y = 20x
300
Graph and state the domain and range
y = (10x+2)/(5x+20)
D: x ≠ -4, R: y ≠ 2
300
Simplify and state any domain restrictions.
(x^2-5)/(x^2+5x-14)-(x+3)/(x+7)
(-x+1)/((x+7)(x-2))
D: x ≠ -7, 2
300
Solve for x. Check your solutions.
10/x+3 = (x+9)/(x-4)
x = -5/2, 8