Solve the linear inequality. Other than , use interval notation to express the solution set and graph the solution set on a
number line.
203)
x –5
20 x –4
24 +1
120
203)
A)
(–, 11]
B)
(11, )
C)
(–, 11)
D)
[11, )
First, write the value(s) that make the denominator(s) zero. Then solve the equation.
204)
10
x=5
2x +30
204)
A)
x 0; 1
4
B)
x 0; {4}
C)
No restrictions; {2}
D)
x 0, 2; 25
6
Solve the formula for the specified variable.
205)
I = Prt for t
205)
A)
t=P– Ir
B)
t=P– 1
Ir
C)
t=P– I
1 +r
D)
t=I
Pr
Solve the equation by completing the square.
206)
x2+ x + 1 = 0
206)
A)
1 ±3
2
B)
–1 ±3
2
C)
–1 ±i 3
2
D)
1 ±i 3
2
Solve the equation by factoring.
207)
x2= x +30
207)
A)
{–5, 6}
B)
{1, 30}
C)
{–5, –6}
D)
{5, 6}
Use the graph to determine the x– and y–intercepts.
208)
208)
A)
x–intercept: –4; y–intercept: 4
B)
x–intercept: 2; y–intercept: 4
C)
x–intercept: –2; y–intercept: –4
D)
x–intercept: –2; y–intercept: 4
Divide and express the result in standard form.
209)
6– 5i
6+ 3i
209)
A)
7
27 –16
27 i
B)
17
5+4
5i
C)
17
9–16
27 i
D)
7
15 –16
15 i
Solve the equation.
210)
x
2=x
3+7
2
210)
A)
–7
2
B)
0
C)
1
21
D)
21
Solve the formula for the specified variable.
211)
P =s1+s2+s3for s3
211)
A)
s3=s1+s2– P
B)
s3= P +s1+s2
C)
s3= P +s1–s2
D)
s3= P –s1–s2
Solve the radical equation, and check all proposed solutions.
212)
1 +8 x = 1 +x
212)
A)
{0, 36}
B)
{0, 64}
C)
{0, 100}
D)
0, 4
7
74
Solve the problem.
213)
The formula for converting Fahrenheit temperature, F, to Celsius temperature, C, is
C =5
9(F – 32).
If Celsius temperature ranges from –85° to –10°, inclusive, what is the range for the Fahrenheit
temperature?
213)
A)
(–27°F, –19°F)
B)
(–121°F, 14°F)
C)
[–27°F, –19°F]
D)
[–121°F, 14°F]
Determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
214)
5
y + 4 –2
y – 4 =5
y2– 16
214)
A)
Identity
B)
Conditional equation
C)
Inconsistent equation
Solve the equation by the method of your choice.
215)
1
x +5+1
x=1
15
215)
A)
–25 ±537
2
B)
35 ±537
2
C)
25 ±537
2
D)
–35 ±537
2
Perform the indicated operations and write the result in standard form.
216)
(–9)( –4)
216)
A)
–6
B)
–6i
C)
6i2
D)
6
Plot the given point in a rectangular coordinate system.
75
217)
(3, 0)
217)
A)
B)
C)
D)
Solve the problem.
218)
Greg is opening a car wash. He estimates his cost equation as C =9000 +0.09x and his revenue
equation as R =1.65x, where x is the number of cars washed in a six–month period. Find the
number of cars that must be washed in a six–month period for Greg to make a profit.
218)
A)
At least 5770 cars
B)
At least 577 cars
C)
At least 4770 cars
D)
At least 57,693 cars
Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write
and factor the trinomial.
219)
x2–11x
219)
A)
11
2; x2–11x +11
2=x –11
2
2
B)
–121
4; x2–11x –121
4=x –11
2
2
C)
121
4; x2–11x +121
4=x –11
2
2
D)
121; x2–11x +121 =(x –11)2
Divide and express the result in standard form.
220)
8
7– i
220)
A)
28
25 +4
25 i
B)
7
6–1
6i
C)
28
25 –4
25 i
D)
7
6+1
6i
Answer Key
Testname: C1
Answer Key
Testname: C1
Answer Key
Testname: C1
Answer Key
Testname: C1
Answer Key
Testname: C1