Solve the absolute value inequality. Other than , use interval notation to express the solution set and graph the solution
set on a number line.
182)
|x + 7| + 5 7
182)
A)
[–9, –5]
B)
(–, –9] [–5, )
C)
[–9, 7]
D)
(–9, –5)
The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.
183)
At what time was the temperature the highest?
183)
A)
5 p.m.
B)
2 p.m.
C)
1 p.m.
D)
11 a.m.
Solve the formula for the specified variable.
184)
V =1
3Bh for h
184)
A)
h=B
3V
B)
h=V
3B
C)
h=3B
V
D)
h=3V
B
Determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
185)
–7x + 9
7+3
7= – 2x
7
185)
A)
Identity
B)
Conditional equation
C)
Inconsistent equation
Solve the equation by making an appropriate substitution.
186)
x–2+x–1–6= 0
186)
A)
{–3, 2}
B)
1
3, –1
2
C)
–1
3, 1
2
D)
{3, –2}
Find the x–intercept(s) of the graph of the equation. Graph the equation.
187)
y =x2– 5x + 1
187)
A)
x–intercepts: none
B)
x–intercepts: –5 ±21
2
63
C)
x–intercepts: –1 and 5
D)
x–intercepts: 5 ±21
2
Solve the compound inequality. Other than , use interval notation to express the solution set and graph the solution set
on a number line.
188)
12 <3x 21
188)
A)
[4, 7)
B)
(–, 4] (7, )
C)
(–, 4) [7, )
D)
(4, 7]
Perform the indicated operations and write the result in standard form.
189)
(–10 + – 4)2
189)
A)
96 –40i
B)
104 + 40i
C)
100 –4i
D)
100 +4i
Use the graph to determine the x– and y–intercepts.
190)
190)
A)
x–intercepts: –5, 5
B)
x–intercepts: –5, 5; y–intercepts: –4, 4
C)
x–intercepts: –4, 4; y–intercepts: –5, 5
D)
y–intercepts: –4, 4
B
Find the x–intercept(s) of the graph of the equation. Graph the equation.
191)
y =x2– 6x + 9
191)
65
A
A)
x–intercept: 3
B)
x–intercept: none
C)
x–intercept: –3
D)
x–intercept: 18
Solve the equation by the method of your choice.
192)
4x2– 19x – 5 = 0
192)
A)
–1
4, 1
19
B)
–1
4, 4
C)
–1
4, 5
D)
{–4, 5}
Plot the given point in a rectangular coordinate system.
66
193)
–3
2, 0
193)
A)
B)
C)
D)
Solve the absolute value equation or indicate that the equation has no solution.
194)
x2– 4x – 4 = 8
194)
A)
{–2, 2, –6}
B)
{–2, 2, 6}
C)
{2, 6}
D)
{–2, 2}
Plot the given point in a rectangular coordinate system.
195)
–9
2, –11
2
195)
A)
B)
C)
D)
Solve the equation by completing the square.
196)
x2+ 3x – 9 = 0
196)
A)
3+ 3 5
2
B)
–3– 3 5
2
C)
–3–3 5
2 , –3+3 5
2
D)
{–3–3 5 , –3+3 5}
Solve the equation.
197)
8
y + 4 –6
y – 4 =6
y2– 16
197)
A)
{62}
B)
{31}
C)
{–31}
D)
{58}
Solve and check the equation.
198)
x3/2 =8
198)
A)
32
B)
{2}
C)
{16 2}
D)
{4}
Solve the linear inequality. Other than , use interval notation to express the solution set and graph the solution set on a
number line.
199)
4x + 4 3x + 5
199)
A)
(9, )
B)
[1, )
C)
(–, 1)
D)
(–, 1]
Solve the problem.
200)
On the first four exams, your grades are 78, 90, 65, and 79. There is still a final exam, and it counts
as two grades. You are hoping to earn a C in the course. This will occur if the average of your six
exam grades is greater than or equal to 70 and less than 80. What range of grades on the final exam
will result in earning a C?
200)
A)
[38, 88]
B)
[54, 84]
C)
[54, 84)
D)
[38, 88)
Use the graph to determine the x– and y–intercepts.
201)
201)
A)
x–intercept: 4; y–intercept: 8
B)
x–intercept: 8; y–intercepts: –2, 4
C)
x–intercepts: –2, 4; y–intercept: 8
D)
x–intercept: –2; y–intercepts: 4, 8
Solve the absolute value equation or indicate that the equation has no solution.
202)
x2– 1x= 0
202)
A)
{–1, 0}
B)
{0, 1}
C)
{–1, 0, 1}
D)