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EOC Review- Radicals and Exponents (A1.11 A/B)

Total questions: 16

Worksheet time: 48mins

Name
Class
Date
1.
Simplify the following radical: √150
a)
5√15
b)
5√2
c)
5√6
d)
15√5
2.
Simplify the following radical: 2√24
a)
4√6
b)
2√6
c)
24√2
d)
4√4
3.

If a number or variable does not have an exponent, we can assume the exponent is:

a)

0

b)

1

4.

 3650=365^0=  

a)

0

b)

1

c)

365

d)

 1365\frac{1}{365}  

5.

 x5x^{-5}  =

a)

 1x5\frac{1}{x^{-5}}  

b)

 1x5\frac{1}{x^5}  

c)

 x51\frac{x^5}{1}  

d)

 x51\frac{x^{-5}}{1}  

6.

The product rule says that when you are multiplying two exponents with the different bases, you __________ the bases and ________ the exponents

a)

Multiply, Add

b)

Add, Add

c)

Multiply, Multiply

d)

Add, Multiply

7.

 x3x7x2x^{-3}\cdot x^7\cdot x^2  =

a)

 x6x^6  

b)

 x12x^{12}  

c)

 x42x^{-42}  

d)

 x12x^{-12}  

8.

The quotient rule says that when you are dividing two exponents with different bases, you _________ the bases and __________ the exponents.

a)

Subtract, Subtract

b)

Divide, Subtract

c)

Subtract, Divide

d)

Divide, Divide

9.

 9x23x=\frac{9x^2}{3x^{ }}=  

a)

 3x23x^2  

b)

 3x3x 

c)

 9x9x  

d)

 6x6x  

10.

 (x5)4\left(x^5\right)^4  

The power of a power rule says that when an exponential expression is raised to a power (as shown above), you should _________ the inner and outer exponents

a)

add

b)

subtract

c)

multiply

d)

divide

11.
-3xy3 . (4xy)2
a)
-12x3y5
b)
-48x2y4
c)
-48x3y5
d)
-12x2y6
12.
(-4r3s5)0 (3b4c2d)
a)
1
b)
-12b4c2d
c)
3b4c2d
d)
0
13.
Find the area of the triangle given: 
B = 3b2
H = 12p7b19
a)
18b21p7
b)
18b7p21
c)
36b21p7
d)
36b38p7
14.

 (8p107r3)2\left(\frac{-8p^{10}}{7r^3}\right)^{^2} 

a)

-64p20/ 49r6

b)

64p20/ 49r6

c)

-8p20/ 14r6

d)

-64p12/ 49r5

15.
IR = V
(solve for R) 
a)
R = IV
b)
R = I/V
c)
R = V/I
d)
R = V - I
16.
Solve:
C = 2πr, for r
a)
C/(2π) = r
b)
C + 2π = r
c)
C - 2π = r
d)
2πC = r