Solve the formula for the specified variable.
314)
r =3V
h for h
314)
A)
h =
r2
3V
B)
h =3V
r2
C)
h =3V
r
D)
h =
V
r2
Use rational exponents to simplify the radical. If rational exponents appear after simplifying, write the answer in radical
notation.
315)
10 x4y8
315)
A)
5x2y
B)
x2y4
C)
5x2y4
D)
5xy4
Divide and simplify to the form a +
bi.
316)
8– 4i
5– 6i
316)
A)
–16
11 –28
11 i
B)
16
61 +68
61 i
C)
64
61 +28
61 i
D)
–64
11 –28
11 i
Divide and, if possible, simplify.
317)
3192
33
317)
A)
3189
B)
4
33
C)
34
D)
4
Use the quotient rule to simplify. Assume all variables represent positive real numbers.
318)
25
49
318)
A)
1
B)
35
C)
5
7
D)
7
5
Rationalize the denominator and simplify.
319)
18
39x2
319)
A)
639x
x
B)
63x
x
C)
333x
x
D)
633x
x
Rationalize the denominator.
320)
2 x +y
y–2 x
320)
A)
4x + y +4xy
y –4x
B)
4x + y +4xy
y –2x
C)
4 x+ y +4xy
y –4x
D)
4x +y+4xy
y –4x
Use rational exponents to simplify the radical. If rational exponents appear after simplifying, write the answer in radical
notation.
321)
15 (10y)3
321)
A)
510y
B)
100,000y5
C)
510y3
D)
12 10y
Rationalize numerator.
322)
15
4z
322)
A)
15
16z15
B)
15
4z 15
C)
1
4z 15
D)
1
229
Simplify by factoring.
323)
18x2y
323)
A)
3xy22
B)
3xy 2
C)
3x 2y
D)
3x22y
Solve the equation.
324)
x+ 8 =7
324)
A)
{1}
B)
{–1}
C)
{225}
D)
Solve the formula for the specified variable.
325)
d =2W
k for W
325)
A)
W=2d2
k
B)
W=dk
2
2
C)
W=d2k
2
D)
W=k d
2
Simplify the expression.
326)
(–3)2
326)
A)
9
B)
3
C)
–3
D)
–3
Use radical notation to rewrite the expression. Simplify, if possible.
327)
815/4
327)
A)
19,683
B)
243
C)
2187
D)
6561
328)
(64)2/3
328)
A)
16
B)
8
C)
128
3
D)
4
Add or subtract as indicated. You will need to simplify terms to identify like radicals.
329)
4x – 12 +x – 3
329)
A)
6x – 3
B)
3x – 3
C)
2+x – 3
D)
4x – 3
Find the indicated root, or state that the expression is not a real number.
330)
–
3
–125
330)
A)
5
B)
125
C)
not a real number
D)
–5
Find the square root if it is a real number, or state that the expression is not a real number.
331)
121 –242
331)
A)
11
B)
–121
C)
not a real number
D)
–11
B
Find the indicated function value for the function.
332)
Evaluate k(x) = –
3
–5x – 140 for k(–3)
332)
A)
5
B)
not a real number
C)
35
D)
–5
Solve the problem.
333)
The formula v =2.5r models the safe maximum speed, v, in miles per hour, at which a car can
travel on a curved road with radius of curvature, r, in feet. A highway crew measures the radius of
curvature at an exit ramp as 810 feet. What is the maximum safe speed?
333)
A)
81 mph
B)
50 mph
C)
42 mph
D)
45 mph
Multiply and simplify. Assume that all variables represent positive real numbers.
334)
(x –
5y4)(5x +
5y4)
334)
A)
5x2– 4x5y4–y35y
B)
5x2– 4x5y4– y 5y3
C)
5x2+ 4x5y4– y 5y3
D)
5x2– 6x5y4
Solve the equation.
335)
3y – 4 =2y + 1
335)
A)
– 5
B)
5
C)
– 1
D)
1
5
80
A
Add or subtract as indicated. You will need to simplify terms to identify like radicals.
336)
33a+
364a
336)
A)
33a+
364a
B)
12 3a
C)
73a
D)
4364a
Find the indicated root, or state that the expression is not a real number.
337)
481
337)
A)
3
B)
12
C)
9
D)
–3
Perform the indicated operation. Write the result in the form a +
bi.
338)
6i + (–6– i)
338)
A)
–6+ 7i
B)
6– 7i
C)
6– 5i
D)
–6+ 5i
Rationalize numerator.
339)
6–5
3
339)
A)
31
18 – 3 5
B)
6
3–5
3
C)
–1
18 + 3 5
D)
31
18 + 3 5
Use rational exponents to simplify the radical. If rational exponents appear after simplifying, write the answer in radical
notation.
340)
15 216
340)
A)
1
7776
B)
656
C)
36
D)
56
Use properties of rational exponents to simplify the expression. Assume that any variables represent positive numbers.
341)
(r1/7s1/7)2
341)
A)
r2s2
B)
r2/7s2/7
C)
r1/14 s1/14
D)
r1/49 s1/49
Answer Key
Testname: C7
Answer Key
Testname: C7
Answer Key
Testname: C7
Answer Key
Testname: C7
86
Answer Key
Testname: C7
Answer Key
Testname: C7
Answer Key
Testname: C7
89