Solve the problem.
209)
A bookcase is to be constructed as shown in the figure below. The height of the bookcase is 3 feet
longer than the length of a shelf. If 18 feet of lumber is available for the entire unit (including the
shelves, but NOT the back of the bookcase), find the length and height of the unit.
209)
A)
length =3 feet; height =6 feet
B)
length =2 feet; height =6 feet
C)
length =2 feet; height =5 feet
D)
length =7.5 feet; height =9.0 feet
Solve the equation by the method of your choice.
210)
(3x + 2)2=6
210)
A)
–2±6
3
B)
6±2
3
C)
2±6
3
D)
–8
3, 4
3
211)
7x2= – 12x – 2
211)
A)
–12 –22
7 , –12 +22
7
B)
–6–22
7 , –6+22
7
C)
–6–2
7 , –6+2
7
D)
–6–22
14 , –6+22
14
72
Solve the equation by making an appropriate substitution.
212)
(x – 3)2+ 3(x – 3) – 18 = 0
212)
A)
{–3, 6}
B)
{–6, 3}
C)
{–9, 0}
D)
{0, 9}
Solve and check the equation.
213)
(4x +3)1/3 =2
213)
A)
2
B)
4
3
C)
5
4
D)
1
4
Solve the radical equation, and check all proposed solutions.
214)
28x + 28 = x + 8
214)
A)
{–5}
B)
{6}
C)
{7}
D)
{–6}
Divide and express the result in standard form.
215)
2+ 7i
7– 2i
215)
A)
i
B)
–1
C)
–i
D)
1
Solve and check the equation.
216)
(4x – 5)1/3 – 6 = – 4
216)
A)
9
4
B)
13
4
C)
11
4
D)
73
Find all values of x satisfying the given conditions.
217)
y = x –3x – 2 and y = 4
217)
A)
9
B)
1, 2
C)
–1
D)
2, 9
Divide and express the result in standard form.
218)
3i
5– 4i
218)
A)
–4
3–5
3i
B)
–12
41 +15
41 i
C)
5
3–4
3i
D)
15
41 –12
41 i
Solve the equation by completing the square.
219)
x2+ x + 1 = 0
219)
A)
–1 ±3
2
B)
1 ±3
2
C)
–1 ±i 3
2
D)
1 ±i 3
2
Solve the formula for the specified variable.
220)
A = P(1 + nr) for n
220)
A)
n=A
r
B)
n=Pr
A – P
C)
n=A – P
Pr
D)
n=P – A
Pr
Solve the equation by completing the square.
221)
x2–8x –7= 0
221)
A)
{4 –7 , 4+7}
B)
{4 –23 , 4+23}
C)
{8 –71, 8+71 }
D)
{–4–23 , –4+23}
74
Solve the equation.
222)
x – 16
–8+x + 7
7= x + 5
222)
A)
–224
55
B)
–448
55
C)
–336
55
D)
–112
55
Solve and check the equation.
223)
(5x +2)1/2 =4
223)
A)
10
B)
16
5
C)
–2
5
D)
14
5
Divide and express the result in standard form.
224)
6+ 3i
5+ 2i
224)
A)
8
7+1
7i
B)
24
29 –27
29 i
C)
12
7+1
7i
D)
36
29 +3
29 i
Graph the equation.
225)
y =3x – 1
225)
75
A)
B)
C)
D)
76
Answer Key
Testname: C1
Answer Key
Testname: C1
Answer Key
Testname: C1
Answer Key
Testname: C1
Answer Key
Testname: C1
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