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6.1-6.4 Review

Total questions: 16

Worksheet time: 4hrs 0mins

Name
Class
Date
1.

Simplify the expression. Write your answer using only positive exponents:
 808^0  

a)

 00  

b)

 88  

c)

 −8-8  

d)

 11  

2.

Simplify the expression. Write your answer using only positive exponents:
 7−17^{-1}   

a)

 17\frac{1}{7}  

b)

 −17-\frac{1}{7}  

c)

 77  

d)

 −7-7  

3.

Simplify the expression. Write your answer using only positive exponents:
 b3⋅b8b^3\cdot b^8  

a)

 2b112b^{11}  

b)

 b5b^5  

c)

 b11b^{11}  

d)

 b24b^{24}  

4.

Simplify the expression. Write your answer using only positive exponents:
 (x2)−5\left(x^2\right)^{-5}  

a)

 1x10\frac{1}{x^{10}}  

b)

 x10x^{10}  

c)

 x−3x^{-3}  

d)

 1x3\frac{1}{x^3}  

5.

Simplify the expression. Write your answer using only positive exponents:
 (8r−4s−5)2\left(\frac{8r^{-4}}{s^{-5}}\right)^2  

a)

 16r−8s−10\frac{16r^{-8}}{s^{-10}}  

b)

 64s10r8\frac{64s^{10}}{r^8}  

c)

 64r8s10\frac{64r^8}{s^{10}}  

d)

 16s10r8\frac{16s^{10}}{r^8}  

6.

Which graph below represents the following exponential function:
 y=1(13)xy=1\left(\frac{1}{3}\right)^x  

a)
b)
c)
d)
7.

Which graph below represents the following exponential function:
 y=2(3)xy=2\left(3\right)^x  

a)
b)
c)
d)
8.

For exponential functions,  y=abxy=ab^x  , what does  aa   do? Select all that apply (3 answers).

a)

It's the amount you multiply by

b)

It's the y-intercept

c)

It stretches / shrinks the graph

d)

It reflects the graph over the x-axis

9.

Determine whether the table represents an exponential growth function, an exponential decay function, or neither:

a)

Exponential Growth

b)

Exponential Decay

c)

Neither

10.

Determine whether the table represents an exponential growth function, an exponential decay function, or neither:

a)

Exponential Growth

b)

Exponential Decay

c)

Neither

11.

Determine whether the table represents an exponential growth function, an exponential decay function, or neither:

a)

Exponential Growth

b)

Exponential Decay

c)

Neither

12.

Determine whether the function represents exponential growth or exponential decay:
 y=12(1.05)ty=12\left(1.05\right)^t  

a)

Exponential Growth

b)

Exponential Decay

13.

Determine whether the function represents exponential growth or exponential decay:
 y=7(34)ty=7\left(\frac{3}{4}\right)^t  

a)

Exponential Growth

b)

Exponential Decay

14.

Identify the initial amount and the rate of growth as a percent: y=350(1+0.75)ty=350\left(1+0.75\right)^t 

a)

 a=350, r=0.75%a=350,\ r=0.75\%  

b)

 a=0.75, r=350%a=0.75,\ r=350\%  

c)

 a=0.75, r=35.0%a=0.75,\ r=35.0\%  

d)

 a=350, r=75%a=350,\ r=75\%  

15.

Identify the initial amount and the rate of growth as a percent: y=16(0.85)ty=16\left(0.85\right)^t 

a)

 a=0.85, r=16%a=0.85,\ r=16\%  

b)

 a=16, r=85%a=16,\ r=85\%  

c)

 a=16, r=15%a=16,\ r=15\%  

d)

 a=0.85, r=0.16%a=0.85,\ r=0.16\%  

16.

A  $3,500\$3,500  deposit earns  9.2%9.2\%  annual interest compounded quarterly. Write a function that represents the balance after  tt   years.

a)

 y=3500(1.092)4ty=3500\left(1.092\right)^{4t}  

b)

 y=9.2(3500)4ty=9.2\left(3500\right)^{4t}  

c)

 y=3500(1.023)4ty=3500\left(1.023\right)^{4t}  

d)

 y=1.092(3500)4ty=1.092\left(3500\right)^{4t}