WorksheetsREVIEW: Laws of Indices & Factoring Quadratics
Total questions: 25
Worksheet time: 21mins
Name
Class
Date
1.
What is the correct law for multiplication? am x an =
a)
am+n
b)
am + an
c)
amxn
d)
amn
2.
What is the correct law for division? am ÷ an =
a)
am-n
b)
am - an
c)
am÷n
d)
am/n
3.
What is the correct law for powers of powers? (am)n =
a)
amxn
b)
am+n
c)
am x an
d)
amen
4.
Simplify: 35 x 37
a)
312
b)
912
c)
335
d)
935
5.
Simplify: 28 ÷ 22
a)
26
b)
24
c)
210
d)
1
6.
Simplify: (3x2y3)0
a)
1
b)
0
c)
3x2y3
d)
3
7.
Simplify: 3x3 × 6x8
a)
18x11
b)
18x24
c)
9x11
d)
9x24
8.
Simplify: 42m12 ÷ 7m6
a)
6m6
b)
6m2
c)
35m6
d)
35m2
9.
Simplify: 64x16y12 ÷ 4x8y3
a)
16x8y9
b)
16x2y4
c)
60x8y9
d)
60x2y4
10.
Simplify: (4pq3)2 ÷ (2p2q)3
a)
2p-4q3
b)
8p4q3
c)
16p4q2
d)
4p-4q2
11.
What is the factored form of x2+16x+15
a)
(x+1)(x+15)
b)
(x+3)(x+5)
c)
(x-3)(x-5)
d)
(x-1)(x+15)
12.
What is the factored form of x2-10x+24
a)
(x-4)(x-6)
b)
(x-12)(x+2)
c)
(x-8)(x-3)
d)
(x+24)(x-1)
13.
What is the factored form of 25x2-9
a)
(5x+3)(5x-3)
b)
(x+5)(x-3)
c)
(x-3)(x+5)
d)
(5x+3)(3x+5)
14.
Find the factors of 4x2-16x-9
a)
(2x-9)(2x+1)
b)
(2x+9)(2x-1)
c)
(4x-1)(x+9)
d)
(x+1)(4x-9)
15.
Find the factors of 100x2-64
a)
(10x-8)(10x+8)
b)
(x-10)(x+8)
c)
(10x+8)(10x+8)
d)
(10x-8)(10x-8)
16.
What are the factors of x2+3x-40
a)
(x+10)(x-4)
b)
(x+8)(x-5)
c)
(x+20)(x-2)
d)
(x+1)(x-3)
17.
Find the factors of 5x2+20x+20
a)
5(x+2)(x+2)
b)
5(x-2)(x-2)
c)
5(x+2)(x-2)
d)
(5x+2)(x+2)
18.
Find GCF of 22x3+11x2
a)
11x
b)
11x2
c)
22x
d)
22x2
19.
FACTOR
7w3-14w
7w3-14w
a)
7w(w2-2)
b)
7w(w2-2w)
c)
7w(w-2)
d)
7w(w+2)
20.
Factor:
24c5 - 12c3
24c5 - 12c3
a)
6(4c5 - 2c3)
b)
12c3(2c2)
c)
12c3(2c2 - 1)
d)
12c3(2c2 - 0)
21.
Factor: 4x² - 20x + 25
a)
(4x - 25) (x -1)
b)
(2x + 5) (2x - 5)
c)
(2x - 5)²
d)
(4x - 5) (x - 5)
22.
Factor:
4x2-16x-9
4x2-16x-9
a)
(2x-9)(2x+1)
b)
(2x+9)(2x-1)
c)
(4x-1)(x+9)
d)
(x+1)(4x-9)
23.
Factor
x2 + 9x - 36
x2 + 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
24.
Factor
3a2 + 4a + 1
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
25.
Factor:
5x3 - 7x2
a)
x2(5x - 7)
b)
x(5x2 - 7x)
c)
x3(5 - 7x)
d)
Prime
100 %
