Mth 112 Chapter 2 Practice Test Problems Worksheet With Answers Page 7
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12x - 2
108) x < 42 - x 2
100) f(x) =
x 2 - x - 20
y
y
-14 -12 -10 -8
-14 -12 -10 -8
-6
-6
-4
-4
-2
-2
0
0
2
2
4
4
6
6
8
8
10 12 1
10 12 1
6
6
5
5
Solve the rational inequality and graph the solution set on a
4
4
3
3
real number line. Express the solution set in interval
2
2
notation.
1
1
x - 2
109)
< 0
x + 1
x
x
-12 -10 -8 -6 -4 -2
-12 -10 -8 -6 -4 -2
2
2
4
4
6
6
8 10 12
8 10 12
-1
-1
-2
-2
-3
-3
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
-4
-4
-5
-5
-x + 9
-6
-6
110)
≥ 0
x - 5
Find the slant asymptote, if any, of the graph of the rational
-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
function.
x 2 + 9
101) f(x) =
x
x
111)
> 0
x + 6
6x 2
102) f(x) =
-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
5x 2 + 3
(x - 1)(3 - x)
112)
≤ 0
x 3 + 6
(x - 2) 2
103) g(x) =
x 2 - 1
-12 -10 -8
-12 -10 -8
-6
-6
-4
-4
-2
-2
0
0
2
2
4
4
6
6
8
8
10 12
10 12
Solve the polynomial inequality and graph the solution set
on a number line. Express the solution set in interval
2
notation.
113)
< 1
x - 7
104) x 2 - 5x + 4 > 0
-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
105) x 2 - 2x - 24 ≤ 0
Solve the inequality.
12
10
114)
>
x - 5
x + 1
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
Write an equation that expresses the relationship. Use k as
106) x 2 + 3x ≤ 4
the constant of variation.
115) d varies directly as m.
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
Determine the constant of variation for the stated condition.
116) s varies directly as r, and s = 40 when r = 5.
107) 2x 2 - 5x ≥ 7
117) g varies directly as f 2 , and g = 180 when f = 6.
-7 -6 -5 -4 -3 -2 -1 0
-7 -6 -5 -4 -3 -2 -1 0
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