Math Quiz

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