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# Math Quiz (Essay Sample)

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Mathematics and Economics Essay: Math Quiz source..

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Running head: Math Quiz

TEST #3 FORM C

Customer Inserts His/Her Name

Customer Inserts Grade Course

Customer Inserts Tutor`s Name

Writer Inserts Date Here (Day, Month, Year)

Solve the following equations. Give Exact Solutions.

Answer 1:

8x-3= 143x

(2)3(x-3)= ( 2)(-2)(3x)

3(x-3) = -6x

3x - 9 = -6x

3x + 6x = 9

9x = 9

x = 1

Answer 2:

log5125 =x

5x= 125

5x= ( 53 )12

x=32

Answer 3:

logx164 = -3

x- 3= 164

x- 3= 4- 3

x = 4

Answer 4:

log2x+ log2x+3= log218

Using log property, sum of logs is equal to their products,

log2x(x +3) = log218

log2x2+3x = log218

x2+3x=18

x2+3x-18=0

Factorizing the above quadratic equation, we get:

x2+6x-3x-18=0

x(x + 6) - 3( x + 6) = 0

(x + 6) (x - 3) = 0

x = - 6, x= 3.

Answer 5:

log103x+17- log102x=1

Using log property, subtraction of logs is equal to their division

log103x+172x=1

Using log property, log of same base is equal to 1.

log103x+172x = log10 10

3x+172x=10

3x + 17 = 20x

3x - 20x = - 17

-17x = - 17

x = 1

Answer 6:

logbx+ logb4- 3logby

Using log property, addition of log is equal to their product

= logb4)(x- 3logby

= logb4x - logby3

Using log property, subtraction of logs is equal to their division

= logb4xy3

Graph each function. List at least three points

f(x) = 3x

x

f(x)

10

f(10) = 310 =0.059 x 106

16

f(16) = 316 =4.3 x 107

20

f(20) = 320 =3.48 x 109

g(x) = log3x

x

f(x)

3

g(3) = log33 = 1

8

g(8) = log38 = 1.89

10

g(10) = log310 = 2.09

Solve the following inequalities and graph the solution set:

Answer 1:

(x - 4)(2x + 3) > 0

x - 4 > 0

x > 4

2x + 3 > 0

x < - 32

TEST #3 FORM C

Customer Inserts His/Her Name

Customer Inserts Grade Course

Customer Inserts Tutor`s Name

Writer Inserts Date Here (Day, Month, Year)

Solve the following equations. Give Exact Solutions.

Answer 1:

8x-3= 143x

(2)3(x-3)= ( 2)(-2)(3x)

3(x-3) = -6x

3x - 9 = -6x

3x + 6x = 9

9x = 9

x = 1

Answer 2:

log5125 =x

5x= 125

5x= ( 53 )12

x=32

Answer 3:

logx164 = -3

x- 3= 164

x- 3= 4- 3

x = 4

Answer 4:

log2x+ log2x+3= log218

Using log property, sum of logs is equal to their products,

log2x(x +3) = log218

log2x2+3x = log218

x2+3x=18

x2+3x-18=0

Factorizing the above quadratic equation, we get:

x2+6x-3x-18=0

x(x + 6) - 3( x + 6) = 0

(x + 6) (x - 3) = 0

x = - 6, x= 3.

Answer 5:

log103x+17- log102x=1

Using log property, subtraction of logs is equal to their division

log103x+172x=1

Using log property, log of same base is equal to 1.

log103x+172x = log10 10

3x+172x=10

3x + 17 = 20x

3x - 20x = - 17

-17x = - 17

x = 1

Answer 6:

logbx+ logb4- 3logby

Using log property, addition of log is equal to their product

= logb4)(x- 3logby

= logb4x - logby3

Using log property, subtraction of logs is equal to their division

= logb4xy3

Graph each function. List at least three points

f(x) = 3x

x

f(x)

10

f(10) = 310 =0.059 x 106

16

f(16) = 316 =4.3 x 107

20

f(20) = 320 =3.48 x 109

g(x) = log3x

x

f(x)

3

g(3) = log33 = 1

8

g(8) = log38 = 1.89

10

g(10) = log310 = 2.09

Solve the following inequalities and graph the solution set:

Answer 1:

(x - 4)(2x + 3) > 0

x - 4 > 0

x > 4

2x + 3 > 0

x < - 32

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