Algebra Quiz

 

Question 1

1.  

Evaluate the function at the indicated value of x.  Round your result to three decimal places.

Function: f(x) = 0.5^x   Value: x = 1.7

[removed]		-0.308
[removed]		1.7
[removed]		0.308
[removed]		0.5
[removed]		-1.7

 

5 points  

Question 2

1.  

Match the graph with its exponential function.

[removed]		y = 2-x – 3
[removed]		y = -2x + 3
[removed]		y = 2x + 3
[removed]		y = 2x – 3
[removed]		y = -2x – 3

 

5 points  

Question 3

1.  

Select the graph of the function.

f(x) = 5^x-1

[removed]
[removed]
[removed]
[removed]
[removed]

 

5 points  

Question 4

1.  

Evaluate the function at the indicated value of x.  Round your result to three decimal places.

Function: f(x) = 500e^0.05x    Value: x=17

[removed]		1169.823
[removed]		1369.823
[removed]		1569.823
[removed]		1269.823
[removed]		1469.823

 

5 points  

Question 5

1.  

Use the One-to-One property to solve the equation for x.

e^3x+5 = 3⁶

[removed]		x = –1/3
[removed]		x2 = 6
[removed]		x = -3
[removed]		x = 1/3
[removed]		x = 3

 

5 points  

Question 6

1.  

Write the logarithmic equation in exponential form.

log₈ 64 = 2

[removed]		648 = 2
[removed]		82 = 16
[removed]		82 = 88
[removed]		82 = 64
[removed]		864 = 2

 

5 points  

Question 7

1.  

Write the logarithmic equation in exponential form.

log₇ 343 = 3

[removed]		7343 = 2
[removed]		73 = 77
[removed]		73 = 343
[removed]		73 = 14
[removed]		3437 = 2

 

5 points  

Question 8

1.  

Write the exponential equation in logarithmic form.

4³ = 64

[removed]		log64 4 = 3
[removed]		log4 64 = 3
[removed]		log4 64 = -3
[removed]		log4 3 = 64
[removed]		log4 64 = 1/3

 

5 points  

Question 9

1.  

Use the properties of logarithms to simplify the expression.

log₂₀ 20⁹

[removed]		0
[removed]		–1/9
[removed]		1/9
[removed]		-9
[removed]		9

 

5 points  

Question 10

1.  

Use the One-to-One property to solve the equation for x.

log₂(x+4) = log₂ 20

[removed]		19
[removed]		17
[removed]		18
[removed]		16
[removed]		20

 

5 points  

Question 11

1.  

Find the exact value of the logarithmic expression.

log₆ 36

[removed]		2
[removed]		6
[removed]		36
[removed]		-2
[removed]		none of these

 

5 points  

Question 12

1.  

Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms.  (Assume all variables are positive.)

log₃ 9x

[removed]
[removed]		log3 9 x log3 x
[removed]		log3 9 + log3 x
[removed]		log3 9 log3
[removed]		none of these

 

5 points  

Question 13

1.  

Condense the expression to a logarithm of a single quantity. 

log_x – 2log_y + 3log_z

[removed]
[removed]
[removed]
[removed]
[removed]

 

5 points  

Question 14

1.  

Evaluate the logarithm using the change-of-base formula.  Round your result to three decimal places.

log₄ 9

[removed]		1.585
[removed]		5.585
[removed]		3.585
[removed]		4.585
[removed]		2.585

 

5 points  

Question 15

1.  

Determine whether the given x-value is a solution (or an approximate solution) of the equation.

4^2x-7 = 16

x = 5

[removed]		no
[removed]		yes

 

5 points  

Question 16

1.  

Solve for x.

3^x = 81

[removed]		7
[removed]		3
[removed]		4
[removed]		-4
[removed]		-3

 

5 points  

Question 17

1.  

Solve the exponential equation algebraically.  Approximate the resulte to three decimal places.

e^5x = e^x2-14

[removed]		-7, -2
[removed]		7, -2
[removed]		5, -14
[removed]		7, 2
[removed]		-7, 2

 

5 points  

Question 18

1.  

Solve the logarithmic equation algebraically.  Approximate the result to three decimal places.

log₃(6x-8) = log₃(5x + 10)

[removed]		18
[removed]		20
[removed]		17
[removed]		19
[removed]		-2

 

5 points  

Question 19

1.  

Find the magnitude R of each earthquake of intensity I (let I₀=1).

I = 19000

[removed]		3.28
[removed]		5.28
[removed]		4.28
[removed]		2.38
[removed]		6.28

 

5 points  

Question 20

1.  

$2500 is invested in an account at interest rate r, compounded continuously.  Find the time required for the amount to double.  (Approximate the result to two decimal places.)

r = 0.0570

[removed]		13.16 years
[removed]		10.16 years
[removed]		11.16 years
[removed]		12.16 years
[removed]		14.16 years

 

5 points  

 

 

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