Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the product.
1)
(4x + 5)(x – 6)
1)
A)
x2– 30x – 19
B)
x2– 19x – 20
C)
4x2– 20x – 30
D)
4x2– 19x – 30
Factor the polynomial completely.
2)
7x2+ 26x – 8
2)
A)
(7x + 4)(x – 2)
B)
(7x – 4)(x + 2)
C)
(7x + 2)(x – 4)
D)
(7x – 2)(x + 4)
D
Find the product.
3)
(x – 5y)(x2+ 5xy +25y2)
3)
A)
x3+ 10x2y2+ 10xy – 125y3
B)
x3– 125y3
C)
x3+ 125y3
D)
x3– 10x2y2– 10xy – 125y3
B
Simplify the expression. Write the answer using only positive exponents. Assume that all variables represent positive
real numbers.
4)
(5x6y5)4(x8y3)–5
4)
A)
625x16y5
B)
y5
625x16
C)
625
x16y5
D)
625y5
x16
D
1
D
Find the product.
5)
(9m + 10)2
5)
A)
81m2+ 180m + 100
B)
9m2+ 180m + 100
C)
9m2+ 100
D)
81m2+ 100
Factor the polynomial completely.
6)
9k2– 48kp + 64p2– 1
6)
A)
(3k + 8p + 1)(3k – 8p – 1)
B)
(3k – 8p – 1)2
C)
(3k – 8p + 1)(3k – 8p – 1)
D)
(3k + 8p + 1)(3k + 8p – 1)
C
7)
x4–256
7)
A)
(x2–16)(x +4)(x –4)
B)
(x2+16)(x +4)(x –4)
C)
Prime
D)
(x +4)2(x –4)2
B
Simplify the expression. Write the answer using only positive exponents. Assume that all variables represent positive
real numbers.
8)
a3b–3
2a–5b2
–4
8)
A)
b20
16a32
B)
16b20
a32
C)
16b20
a8
D)
a32
16b20
B
2
A
Find the product.
9)
(11y2+ 6)(11y2– 6)
9)
A)
121y2– 36
B)
121y4– 36
C)
121y4– 132y2– 36
D)
121y4+ 132y2– 36
10)
(3a + 5)(–9a + 2)
10)
A)
–27a2– 39a + 10
B)
–27a2+ 51a + 10
C)
–27a2+ 10
D)
–27a2+ 39a + 10
A
Factor the polynomial completely.
11)
16x2– 81
11)
A)
(16x + 1)(x – 81)
B)
(4x + 9)2
C)
(4x – 9)2
D)
(4x + 9)(4x – 9)
D
Find the product.
12)
(2x – 7y)2
12)
A)
4x2+ 49y2
B)
2x2– 28xy + 49y2
C)
2x2+ 49y2
D)
4x2– 28xy + 49y2
D
13)
(10p + 13)(10p – 13)
13)
A)
100p2+ 260p – 169
B)
100p2– 169
C)
100p2– 260p – 169
D)
p2– 169
B
3
B
14)
(10a – 9)2
14)
A)
100a2– 180a + 81
B)
10a2+ 81
C)
100a2+ 81
D)
10a2– 180a + 81
Add or subtract as indicated.
15)
Subtract.
5x8– 3x7+ 6x6– 8
7x8+ 9x7+ 8x6– 7
15)
A)
12x8+ 6x7+ 14x6– 15
B)
–2x8+ 6x7+ 14x6– 15
C)
–2x8– 12x7– 2x6– 1
D)
12x8+ 6x7+ 14x6– 1
16)
(6y4+ 8y3– 9y2– 1) – (4y4+ 6y2+ 3y3+ 2)
16)
A)
10y4+ 11y3– 3y2+ 1
B)
2y4+ 5y3– 15y2– 3
C)
10y4+ 11y3– 3y2– 3
D)
2y4+ 11y3– 3y2+ 1
17)
(7x4+ 3x3+ 3x2+ 4x – 7) + (–3x4+ 7x3– 8x2– 3x + 2)
17)
A)
4x4– 4x3+ 11x2+ x – 9
B)
10x4– 4x3+ 11x2– x – 5
C)
10x4– 4x3+ 11x2– x – 9
D)
4x4+ 10x3– 5x2+ x – 5
4
Simplify the expression. Write the answer using only positive exponents. Assume that all variables represent positive
real numbers.
18)
(mn–11)(m–6n6)
18)
A)
m5n5
B)
m5
n5
C)
1
m6n5
D)
1
m5n5
19)
(4x–5y8z)4(4x–3y7z)–5
19)
A)
4
x5y3z
B)
1
4x5y3z
C)
4x5z
y3
D)
4z
x5y3
Add or subtract as indicated.
20)
Add.
8ab3– 3a2b2–2b5
2ab3+ 7a2b2–2b5
20)
A)
10ab3+ 4a2b2–2b5
B)
10ab3+ 4a2b2
C)
10ab3+ 4a2b2+4b5
D)
10ab3+ 4a2b2–4b5
Find the product.
21)
(9p – 1)(81p2+ 9p + 1)
21)
A)
81p3– 1
B)
729p3+ 90p2– 1
C)
729p3– 1
D)
729p3+ 1
5
Factor the polynomial completely.
22)
81x2z + 126xyz + 49y2z
22)
A)
(9xz + 7yz)2
B)
z(9x + 7y)(9x – 7y)
C)
z(9x – 7y)2
D)
z(9x + 7y)2
23)
4x2– 14x – 8
23)
A)
(2x – 1)(2x + 8)
B)
2(2x – 1)(x + 4)
C)
2(2x + 1)(x – 4)
D)
(4x – 2)(x + 4)
24)
25x2– 60x + 36
24)
A)
(25x + 1)(x + 36)
B)
(5x + 6)2
C)
(5x – 6)(5x + 6)
D)
(5x – 6)2
25)
4z6– 49
25)
A)
(2z3+ 7)2
B)
(2z3+ 7)(2z3– 7)
C)
4z6– 49
D)
(2z3– 7)2
Find the product.
26)
(3x + 2y)2
26)
A)
3x2+ 12xy + 4y2
B)
9x2+ 12xy + 4y2
C)
3x2+ 4y2
D)
9x2+ 4y2
6
Factor the polynomial completely.
27)
2am +12mb +3an +18nb
27)
A)
(2m + n)(a +18b)
B)
(a +3n)(2m +6b)
C)
(2m +3n)(a +6b)
D)
(2m +6b)(a +3n)
28)
1000c3+ 343
28)
A)
(10c + 7)(100c2– 70c + 49)
B)
(1000c + 7)(c2– 70c + 49)
C)
(10c – 7)(100c2+ 70c + 49)
D)
(10c + 7)(100c2+ 49)
A
Find the product.
29)
(9a3+ 7c)(9a3– 7c)
29)
A)
81a6– 49c2
B)
81a6– 126a3c – 49c2
C)
81a6+ 126a3c – 49c2
D)
9a6– 7c2
A
Factor the polynomial completely.
30)
x2– x – 72
30)
A)
(x + 8)(x – 9)
B)
(x + 1)(x – 17)
C)
(x + 9)(x – 8)
D)
(x – 9)(x + 9)
A
31)
x3– 343
31)
A)
(x – 7)(x2+ 49)
B)
(x – 7)(x2+ 7x + 49)
C)
(x + 343)(x2– 1)
D)
(x + 7)(x2– 7x + 49)
B
7
C
32)
120x9y9– 84x2y6– 48x4y4
32)
A)
x2y4(120x7y5– 84y2– 48x2)
B)
12x2(10x7y9– 7y6– 4x2y4)
C)
12x2y4(10x7y5– 7y2– 4x2)
D)
12(10x9y9– 7x2y6– 4x4y4)
Simplify the expression. Write the answer using only positive exponents. Assume that all variables represent positive
real numbers.
33)
(5xy3z–2)2
(4x6yz–3)–1
33)
A)
–25x8y7
4z7
B)
–25y7
4x4z7
C)
100y7
x5z7
D)
100x8y7
z7
34)
70–(–13)0
34)
A)
–2
B)
0
C)
2
D)
20
8
Answer Key
Testname: C15
9