C)
D)
Solve.
143)
The equation that represents the proper traffic control and emergency vehicle response availability
in a small city is 2P + 3F
23, where P is the number of police cars on active duty and F is the
number of fire trucks that have left the firehouse in response to a call. In order to comply with
staffing limitations, the equation 2P + F
17 is appropriate. The number of police cars on active
duty and the number of fire trucks that have left the firehouse in response to a call cannot be
negative, so P 0 and F
0. Graph the regions satisfying all the availability and staffing
requirements, using the horizontal axis for P and the vertical axis for F. If 6 police cars are on active
duty and 4 fire trucks have left the firehouse in response to a call, are all of the requirements
satisfied?
143)
77
A)
Yes
B)
Yes
C)
No
D)
No
Solve the compound inequality. Other than , graph the solution set on a number line.
144)
7x –86 or –x +8< – 8
144)
A)
–2
7, 16
B)
–, –2
7 (16, )
C)
( , 2] (16, )
D)
[2, 16)
Graph the inequality.
145)
y 6
145)
79
A)
B)
C)
D)
Graph the solution set of the system of inequalities or indicate that the system has no solution.
146)
2x + y <10
2x + y >1
146)
80
A)
B)
C)
D)
Graph the solution set of the system of inequalities.
147)
2x – 3y –6
3x + 2y
12
x 0, y 0
147)
81
A)
B)
C)
D)
Graph the solution set of the system of inequalities or indicate that the system has no solution.
148)
–2x + y >2
–2x + y <1
148)
82
A)
B)
C)
D)
Graph the inequality.
149)
5x + y 6
149)
83
A)
B)
C)
D)
84
Solve and graph the solution set on a number line.
150)
|x – 7| 0
150)
A)
{7}
B)
(–, 7)
C)
D)
{–7}
151)
|8x + 4| + 4 <13
151)
A)
B)
5
8, –13
8
C)
–, –13
8
D)
–13
8, 5
8
85
Solve.
152)
Claire has received scores of 85, 88, 87, and 95 on her algebra tests. What score must she receive on
the fifth test to have an overall test score average of at least 90?
152)
A)
96 or greater
B)
94 or greater
C)
93 or greater
D)
95 or greater
Solve and graph the solution set on a number line. Express the solution set in both set–builder and interval notations.
153)
|x – 9| 0
153)
A)
{9}
B)
(–9, 9)
C)
(9, )
D)
(–, )
Solve.
154)
The inequality |x–15.6| 0.7 describes the range of acceptable lengths x, in centimeters, of a
certain metal rod used in a manufacturing process. Solve the inequality and interpret the solution.
154)
A)
{ x16.3 x17 } or 16.3, 17 ; the length of the metal rod is acceptable between a low of 16.3
cm and a high of 17 cm.
B)
{ x x 14.9 or x16.3 } or ( , 14.9 16.3,); the length of the metal rod is acceptable at or
below 14.9 cm and at or above 16.3 cm.
C)
{ x x 16.3 or x17 } or ( , 16.3 17,); the length of the metal rod is acceptable at or
below 16.3 cm and at or above 17 cm.
D)
{ x14.9 x16.3 } or 14.9, 16.3 ; the length of the metal rod is acceptable between a low of
14.9 cm and a high of 16.3 cm.
155)
Find the union {–4, –2, 1, 5} {1, 5, 9}.
155)
A)
{–4, –2, 1, 5, 9}
B)
{1, 5, 9}
C)
{–4, –2, 1, 5}
D)
{1, 5}
Graph the inequality.
156)
y –1
2x
156)
A)
B)
C)
D)
D)
Solve.
157)
Marcus is planting a section of garden with tomatoes and cucumbers. The available area of the
section is 110 square feet. He wants the area planted with tomatoes to be more than 35% of the area
planted with cucumbers. Write a system of inequalities to describe the situation. Let x represent the
area (in square feet) planted in tomatoes and y represent the area (in square feet) planted in
cucumbers.
157)
A)
x + y 110, x <0.35y, x 0, y 0
B)
x + y 110, x >35y, x 0, y 0
C)
x + y 110, x >0.35y, x 0, y 0
D)
x + y =110, x 0.35y, x 0, y 0
Find the solution set for the equation.
158)
|5x + 6| = |5x –6|
158)
A)
{0}
B)
C)
{0, 5}
D)
{0, 6}
A
D)
159)
|x| =2
159)
A)
{4}
B)
{–2, 2}
C)
{2}
D)
{–2}
B
D)
C
D)
Answer Key
Testname: C4
Answer Key
Testname: C4
Answer Key
Testname: C4
Answer Key
Testname: C4