Perform the division. Write the answer with positive exponents.
83)
36x9– 30x8+ 48x6+ 36x4+ 7x3
6x6
83)
A)
6x3– 5x2+ 8
B)
36x9– 5x2+ 8 +6
x2+7
6x3
C)
6x3– 30x8+ 48x6+ 36x4+ 7x3
D)
6x3– 5x2+ 8 +6
x2+7
6x3
84)
–48x9+ 24x8+ 30x6– 12x4
–6x6
84)
A)
–8x3+ 4x2+ 5 –2
x2
B)
8x3– 2x2– 5
C)
8x3– 4x2– 5
D)
8x3– 4x2– 5 +2
x2
D
Simplify the expression. Use positive exponents. Assume variables represent nonzero real numbers.
85)
t7
t
85)
A)
1
t6
B)
t6
C)
t7
D)
t
B
Find the product.
86)
(–4+ x)(5x – 2)
86)
A)
5x2– 22x + 8
B)
5x2– 23x + 8
C)
5x2+ 8x – 22
D)
x2– 22x – 22
A
16
D
87)
5t4(t – 4)(4t – 2)
87)
A)
20t6+ 40t5– 90t4
B)
20t6+ 40t4
C)
20t6– 80t5+ 40t4
D)
20t6– 90t5+ 40t4
Perform the indicated operation.
88)
(8x3+ 6x5+ 4 – 5x4) – (–6+ 8x4+ 8x5+ 6x3)
88)
A)
14x5+ 3x4+ 14x3– 2
B)
14x5+ 3x4+ 14x3+ 10
C)
–2x5– 13x4+ 2x3+ 10
D)
–2x5+ 3x4+ 14x3– 2
Perform the indicated operation. Write the answer without exponents.
89)
(8 ×107) × (9×10–1)
18 ×102
89)
A)
40,000
B)
4000
C)
400,000,000
D)
400,000
Find the product.
90)
2y3(4y – 2)(y + 2)
90)
A)
20y4– 8y3
B)
8y5+ 12y4– 8y3
C)
8y5– 8y3
D)
12y4– 8y3
17
Perform the division. Write the answer with positive exponents.
91)
–4x8+ 4x6– 14x4
–2x6
91)
A)
2x2– 2 +7
x2
B)
2x – 2 +7
x
C)
2x2– 2 +7
x
D)
2x – 2 +7
x2
Evaluate.
92)
60
92)
A)
–1
B)
6
C)
1
D)
0
Find the product.
93)
(x – 12)(4x + 12)
93)
A)
4x2– 144x – 36
B)
4x2– 36x – 144
C)
4x2– 36x – 36
D)
4x2– 38x – 144
Evaluate.
94)
(–10)0
94)
A)
1
B)
0
C)
10
D)
–1
Write the number in scientific notation.
95)
0.0000066613
95)
A)
6.6613 ×10–7
B)
6.6613 ×106
C)
6.6613 ×10–6
D)
6.6613 ×10–5
Evaluate.
96)
05
(–5)0
96)
A)
0
B)
1
C)
–1
D)
–5
Find the product.
97)
2x2(9x + 5)
97)
A)
18x + 10
B)
18x3+ 10x2
C)
28x2
D)
18x3+ 5
Write the number without exponents.
98)
7.163 ×10–6
98)
A)
0.0000007163
B)
–7,163,000
C)
0.000007163
D)
0.00007163
Perform the division.
99)
x4– 16
x2– 4
99)
A)
x2– 4x + 2
B)
x2– 4
C)
x2+ 4
D)
x2+ 2x + 2
Write the number in scientific notation.
100)
87,000
100)
A)
8.7 ×10–5
B)
8.7 ×104
C)
8.7 ×10–4
D)
8.7 ×105
19
Use the power rules for exponents to simplify. Write the answer in exponential form.
101)
–224
101)
A)
26
B)
–26
C)
–28
D)
28
Write the number without exponents.
102)
3.0847 ×10–7
102)
A)
0.000000030847
B)
0.0000030847
C)
–308,840,000
D)
0.00000030847
D
Solve the problem.
103)
Add (5x – 9 + 5x3) to the sum of (–4+x2– 3x) and (–5x – 2 +x3).
103)
A)
7x3– 3x – 15
B)
6x3+x2– 3x – 13
C)
6x3– 4x2+ 2x – 15
D)
6x3+x2– 3x – 15
D
Find the product.
104)
(9 a + 13 c)( 9a – 13c)
104)
A)
81 a2– 169 c2
B)
81 a2– 234 ac – 169 c2
C)
9 a2– 13 c2
D)
81 a2+ 234 ac – 169 c2
A
Perform the division.
105)
(12x3y4+8x5y8–8x6y5) ÷ (4x3y4)
105)
A)
3+2x2y4–2x3y
B)
3+2xy4–2x2y
C)
3+2x2y3–2x3y2
D)
3xy +2x2y4–2x3y
A
20
D
Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
106)
–9z4– 2z3– 3z2+ 9
106)
A)
Trinomial, degree 9
B)
None, degree 4
C)
Trinomial, degree 4
D)
Binomial, degree 10
Perform the division. Write the answer with positive exponents.
107)
18x6+ 48x5+ 42x4
6x5
107)
A)
3x + 8 +7
x
B)
10x + 8
C)
3x + 8
D)
3x + 48x5+7
x
A
Find the product.
108)
(11 m – 2 w)( 11 m + 2 w)
108)
A)
121m2– 44 mw – 4 w2
B)
11 m2– 2 w2
C)
121m2+ 44 mw – 4 w2
D)
121m2– 4 w2
D
Evaluate the expression.
109)
1
3
–2
109)
A)
–9
B)
9
C)
1
6
D)
1
9
B
B
Perform the division.
110)
49m –14n
–7m
110)
A)
–2+14n
B)
4+2n
m
C)
–7+2n
m
D)
–7–2n
m
Simplify the expression. Use positive exponents. Assume variables represent nonzero real numbers.
111)
5
r–6
111)
A)
5r–6
B)
r6
5
C)
5
D)
5r6
Perform the division.
112)
20x3– 37x2+ 27x – 12
–4x + 5
112)
A)
–5x2+ 3x – 3 +6
–4x + 5
B)
x2– 3 +3
–4x + 5
C)
–5x2+ 3x – 3
D)
–5x2+ 3x – 3 +3
–4x + 5
Perform the indicated operation.
113)
(6 + 3n5+ 4n4) + (5n5+ 9n4+ 6)
113)
A)
8n5+ 13n4+ 12
B)
33n9
C)
8+ 13n5+ 12n4
D)
11n5+ 12n4+ 10
22
114)
Add.
5a4– 5a3
6a4+ 8a3
114)
A)
14a7
B)
14a14
C)
11a8+ 3a6
D)
11a4+ 3a3
115)
Add.
2
3x2–5
8x +1
5
3
4x2–3
4x +3
10
115)
A)
–1
12 x2+11
8x +1
2
B)
–1
12 x2–11
8x +1
2
C)
17
12 x2–11
8x +1
2
D)
17
12 x2+11
8x +1
2
Write the number in scientific notation.
116)
0.0000000321013
116)
A)
3.21013 ×10–8
B)
3.21013 ×10–7
C)
3.21013 ×10–9
D)
3.21013 ×108
Find the product.
117)
7x +5
11 7x –5
11
117)
A)
7x2–25
121
B)
49x2–25
121
C)
49x2–70
11 x –25
121
D)
49x2+25
121
23
Perform the division.
118)
11x3y3– 55xy +x2y2
11xy
118)
A)
x2y2– 5 +xy
11
B)
x2y2– 5 +11xy
C)
x2y2– 5 + xy
D)
xy – 5 +x2y2
11
Find the product.
119)
12x2(–9x6+ 2)
119)
A)
–84x2
B)
–108x8+ 24x2
C)
–108x6+ 24
D)
–108x8+ 2
Evaluate the polynomial.
120)
4x3+ 2x2– 12 for x =2
120)
A)
16
B)
24
C)
28
D)
18
Write the number in scientific notation.
121)
0.00003975
121)
A)
3.975×105
B)
3.975×104
C)
3.975×10–5
D)
3.975×10–4
Use a combination of rules for exponents to simplify. Write answers with only positive exponents. Assume that all
variables represent nonzero real numbers.
122)
t–6·t4·t–7
122)
A)
1
t17
B)
t17
C)
t9
D)
1
t9
24
Simplify the expression. Use positive exponents. Assume variables represent nonzero real numbers.
123)
42x9
45x3
123)
A)
4
x
B)
x6
43
C)
2
D)
43
x6
Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
124)
–15x
124)
A)
Binomial, degree 0
B)
Monomial, degree –15
C)
Monomial, degree 0
D)
Monomial, degree 1
Determine the number of terms and identify the coefficient of each term of the expression.
125)
–9w – 5z
125)
A)
2; 9 and –5
B)
2; –9 and 5
C)
2; 9 and 5
D)
2; –9 and –5
Simplify the expression. Use positive exponents. Assume variables represent nonzero real numbers.
126)
(–4p)2(–4p)8
126)
A)
410p
B)
410p10
C)
–410p10
D)
16p10
Provide an appropriate response.
127)
In scientific notation, what is the largest integer which can be multiplied by a power of 10?
127)
A)
–9
B)
10
C)
1
D)
9
25
Find the product.
128)
–3x7(11x6+ 5x5)
128)
A)
–33x13 + 5x5
B)
–33x2– 15x
C)
–33x13 + 15x12
D)
–33x13 – 15x12
Simplify the expression. Use positive exponents. Assume variables represent nonzero real numbers.
129)
t6
t9
129)
A)
t–9
B)
1
t3
C)
t6
t3
D)
t3
Provide an appropriate response.
130)
Is it true that 7×10–6 is written in scientific notation?
130)
A)
True
B)
False
131)
Determine if the expression 3–7 is positive or negative.
131)
A)
Negative
B)
Positive
Evaluate.
132)
–(80) +(–4)0
132)
A)
4
B)
–2
C)
0
D)
1
26
Answer Key
Testname: C12
27
Answer Key
Testname: C12
Answer Key
Testname: C12