Math 107 Chapter 9 Practice Test
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Solve the compound inequality and graph the solution set on a number line. Except for the empty set, express the
solution set in interval notation.
1) -3x ≤ -9 or 3x > 9x - 6
1)
-1
0
1
2
3
4
5
Graph the solution set of the system of inequalities or indicate that the system has no solution.
2) -x + 4y < -4
2)
x≥1
y
10
5
-10
-5
5
x
10
-5
-10
Solve and graph the solution set on a number line.
3) |4x - 3| - 4 < 0
0
1
2
3
4
5
6
7
8
9
10
3)
11
12
Graph the solution set of the system of inequalities or indicate that the system has no solution.
4) 1 ≤ x < 10
4)
y
10
8
6
4
2
-10 -8 -6 -4 -2-2
-4
2 4
6
x
8 10
-6
-8
-10
Solve the compound inequality and graph the solution set on a number line. Except for the empty set, express the
solution set in interval notation.
5) -16 ≤ -2x - 2 < -6
5)
-2
-1
0
1
2
3
4
5
6
7
8
9
10 11 12
1
Solve and graph the solution set on a number line. Express the solution set in both set-builder and interval
notations.
6) |7x - 4| - 1 > -6
6)
0
2
4
6
8
10
12
14
Graph the inequality in a rectangular coordinate system.
7) 4x + y ≤ -4
7)
y
10
5
-10
-5
5
10
x
-5
-10
Find the solution set for the equation.
8) |2x - 4| = |x + 3|
8)
Solve the inequality. Other than ∅, graph the solution set on a number line.
9) -8x ≥ 16
9)
-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
Graph the solution set of the system of inequalities or indicate that the system has no solution.
y≥1
10) 2 ≤ x ≤ 6
10)
x - 2y ≥ -2
x+y≤6
6
y
4
2
-6
-4
-2
2
4
6 x
-2
-4
-6
2
Solve the inequality. Other than ∅, graph the solution set on a number line.
11) 18x - 6 > 3(5x - 7)
-8
-7
-6
-5
-4
-3
11)
-2
Find the intersection of the sets.
12) {-5, 0, 2, 4} ∩ {2, 4, 9}
12)
Graph the inequality.
13) y < - 4x
13)
y
10
-10
10
x
-10
Find the intersection of the sets.
14) {-5, -1, 2, 7} ∩ {-4, 1, 5, 8}
14)
Find the solution set for the equation.
15) |4x + 7| + 2 = 10
15)
Solve and graph the solution set on a number line.
16) |x - 5| + 7 ≥ 16
16)
-4
-2
0
2
4
6
8
10
12
14
16
18
20
Solve the inequality. Other than ∅, graph the solution set on a number line.
x-2 x-1
1
≥
+
17)
15
20
60
-20 -16 -12 -8 -4 0
4
8 12 16 20 24 28
3
17)
Graph the solution set of the system of inequalities or indicate that the system has no solution.
18) -3x + y > 9
18)
-3x + y < -1
y
10
8
6
4
2
-10 -8 -6 -4 -2-2
2 4
6
8 10
x
-4
-6
-8
-10
Graph the inequality.
19) x > 4
19)
y
10
5
-10
-5
5
10
x
-5
-10
20) y ≥ x - 4
20)
y
10
5
-10
-5
5
10
x
-5
-10
4
Answer Key
Testname: MATH 107 CHAPTER 9 TEST
1) (-∞, 1) ∪ [3, ∞)
-1
0
1
2
3
4
5
2)
y
10
5
-10
-5
5
x
10
-5
-10
3) -
1 7
,
4 4
0
1
2
3
4
5
6
7
8
9
10
11
12
9
10 11 12
4)
y
10
8
6
4
2
-10 -8 -6 -4 -2-2
-4
-6
-8
2
4
3
4
6
8 10
x
-10
-12
5) (2, 7]
-2
-1
0
1
2
5
6
7
8
6) (-∞, ∞)
0
2
4
6
8
10
12
14
5
Answer Key
Testname: MATH 107 CHAPTER 9 TEST
7)
y
10
5
-10
-5
5
x
10
-5
-10
8) 7,
1
3
9) (-∞, -2]
-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
10)
y
6
4
2
-6
-4
-2
2
6 x
4
-2
-4
-6
11) (-5, ∞)
-8
-7
-6
-5
-4
-3
-2
12) {2, 4}
6
Answer Key
Testname: MATH 107 CHAPTER 9 TEST
13)
y
10
-10
10
x
-10
14) ∅
1 15
15) , 4
4
16) (-∞, -4] ∪ [14, ∞)
-4
-2
0
2
4
6
8
10
12
14
16
18
20
17) [6, ∞)
-20 -16 -12 -8 -4 0
4
8 12 16 20 24 28
18) ∅
19)
y
10
5
-10
-5
5
10
x
-5
-10
7
Answer Key
Testname: MATH 107 CHAPTER 9 TEST
20)
y
10
5
-10
-5
5
10
x
-5
-10
8