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Big Ideas Math Algebra- Chapter 6 Review

Total questions: 27

Worksheet time: 2hrs 4mins

Name
Class
Date
1.
4r-3 * 2r2
a)
8r
b)
4
--
r6
c)
16x6
d)
8
--
r
2.
(2/5)-2
a)
25/4
b)
4/25
c)
25
d)
4
3.
3m-4
--------
m3
a)
3
---
m7
b)
3
---
m1
c)
3
---
m-1
d)
3m7
4.
(x2)0
a)
1
b)
2
c)
x20
d)
x2
5.
(3x4y3z5)3
a)
12x12y9z15
b)
9x12y9z15
c)
3x12y9z15
d)
27x12y9z15
6.
(3*4)2
a)
72=49
b)
32*42=144
c)
12
d)
342
7.

You bought a Boston Whaler in 2004 for $12,500. The boat's value depreciates by 7% a year. How much is the boat worth in 2012?

a)

$11,625

b)

$6994.77

c)

$21,477

d)

$875

8.

Write an equation that models the following situation:


Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

a)

y = 6(0.14)x

b)

y = 6(1 + 14)x

c)

y = 6(1.14)x

d)

y = 6(0.86)x

9.

Since January 1980, the population of the city of Brownville has grown according to the mathematical model y = 720,500(1.022)x, where x is the number of years since January 1980. If the population continues to increase, what will it be in1995?

a)

11,045,265

b)

5,694,677

c)

998,613

d)

12,235

10.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
11.

Which graph corresponds to the exponential function y=4xy=4^x  ?

a)
b)
c)
d)
12.

For f(x)=(12)xf\left(x\right)=\left(\frac{1}{2}\right)^x  , find the correct graph, asymptote, domain and range.

a)
b)
13.

For f(x)=43xf\left(x\right)=4\cdot3^x , find the correct graph, asymptote, domain and range.

a)
b)
14.
What equation matches the graph?
a)
f(x) = 3x
b)
f(x) = (⅓)x
c)
f(x) = log₃(x)
15.

Does this data show exponential or linear behavior? What's the equation?

a)

linear, y=5x+5y=5x+5

b)

exponential, y=5xy=5^x

c)

linear, y=15x+1y=\frac{1}{5}x+1

d)

exponential, y=2x+5y=2^x+5

16.

Does the data show exponential or linear behavior? What's the equation?

a)

exponential, y=3xy=3^x

b)

linear, y=3x+3y=3x+3

c)

linear, y=9x+9y=9x+9

d)

exponential, y=9x+27y=9^{-x}+27

17.

Given the exponential function y=2(3)x+5y=-2\left(3\right)^x+5 , please find the value of y when  x=6x=6  .

a)

y=1453y=-1453  

b)

y=4.997y=4.997  

c)

y=1y=-1  

d)

y=31y=-31  

18.

Solve the Rational Exponent Equation:

a)

A

b)

B

c)

C

d)

D

19.

Rewrite the expression without using a radical:

a)

(2x + 1)3/4

b)

(2x + 1)4/3

c)

4(2x + 1)3

d)

3(2x + 1)4

20.

Solve. (3x - 5)1/4 + 3 = 4

a)

4/3

b)

2

c)

-2

d)

-4/3

21.

Solve. (6x - 3)2/3 + 6 = 15

a)

x = -5, x = 4

b)

x = 5

c)

x = 5, x = -4

d)

no solution

22.
Solve for x:
a)
3
b)
2
c)
1
d)
0
23.
Find the common ratio for the geometric sequence.
a)
10
b)
1/2
c)
2
d)
4
24.
Is the sequence -432, 72, -12, 2,...geometric?
a)
yes
b)
no
25.

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

a)

1024, 2048, 4096

b)

32, 8, 2

c)

64, 32, 16

d)

92, 66, 38

26.
Write the explicit formula for the geometric sequence.
a)
an = 4(3)n-1
b)
an = 3(4)n-1
c)
an = -4(3)n-1
d)
an = 3(-4)n-1
27.
Find the first four terms of the sequence given the rule:
an = 4(5)n-1
a)
20, 100, 500, 2500
b)
5, 20, 80, 320
c)
4, 20, 100, 500
d)
4, 9, 14, 19