Name________________________
Date_________________ Pd_____
Algebra 2
Review for Quiz on 8.1 – 8.3
1) State whether each equation represents direct, inverse, or joint variation.
a. xy = 10
b. y = 12 x
c. y = 5 xz
2) y varies inversely as x. When x = 3, y = 12. Find y when x = 10.
3) a varies jointly as b and the square of c. When a = 56, b = 7, and c = 4. Find the constant of variation for
the problem.
4) In Chemistry, the Ideal Gas Law states the pressure (P) varies directly with temperature (T) and inversely
with volume (V). Write an equation that models this information. Let n be the constant of variation.
5) If y varies directly as x and y = 24 when x = 8 , find y when x = 12 .
6) If x varies inversely as y and y = 40 when x = 4 , find x when y = 20 .
7) Suppose x varies jointly as y and z. If x = 50 when y = 2 and z = 4 , find x when y = 6 and z = 10 .
8) The volume (V) of a box varies jointly as the length (l), width (w), and height (h). Find h if 𝑉 = 512m( ,
𝑙 = 8m, and 𝑤 = 4m.
9) If y varies inversely as x and y =
2
when x = -10 , what is y when x = 15 ?
3
10) If y varies jointly as x and z and y = 60 when x = 10 and z = -3 , find y when x = 8 and z = 15 .
Graph and fill in all of the blanks.
11) y =
x-2
x+3
Vertical asymptote(s) ______________
Horizontal asymptote _____________
Find points in
each section:
x
y
Oblique asymptote ________________
Hole(s) __________________________
x-intercept(s) _____________________
y-intercept _______________________
Domain _________________________
12) y =
x+4
x2 - 1
Vertical asymptote(s) ______________
Horizontal asymptote _____________
Oblique asymptote ________________
Hole(s) __________________________
x-intercept(s) _____________________
y-intercept _______________________
Domain _________________________
Find points in
each section:
x
y
13) y =
x 2 +8 x + 20
x+2
Vertical asymptote(s) ______________
Horizontal asymptote _____________
Find points in
each section:
x
y
Oblique asymptote ________________
Hole(s) __________________________
x-intercept(s) _____________________
y-intercept _______________________
Domain _________________________
(
14) 𝑓(𝑥) = − 2
2
Vertical asymptote(s) ______________
Horizontal asymptote _____________
Oblique asymptote ________________
Hole(s) __________________________
x-intercept(s) _____________________
y-intercept _______________________
Domain _________________________
Find points in
each section:
x
y