Free Printable PreCal Semester 1 Exam

1.

convert this logarthmetic to exponetial form.

\log_28=3

a)

$\log_23=8$

b)

$2^3=8$

c)

$2\cdot3=6$

d)

$8^2=64$

2.

rewrite

\log_327\ -\ \log_381

Using the quotation rule of Logarithmic to simply the equation above to one logarithmic with the same base.

a)

$\log_32187$

b)

$3^3=27$

c)

$\log_3\left(\frac{1}{3}\right)$

d)

$3^4=81$

3.

$f\left(x\right)=2x-5$

Find the inverse function.

a)

$f^{-1}\left(x\right)=2x-5$

b)

$f^{-1}\left(x\right)=2x+5$

c)

$f^{-1}\left(x\right)=\frac{x-5}{2}$

d)

$f^{-1}\left(x\right)=\frac{x+5}{2}$

4.

Choose the interval where the graph is decreasing.

a)

$\left(2,1\right)\cup\left(-1,2\right)$

b)

$\left(-3,-1\right)\cup\left(2,4\right)$

c)

$\left(-3,-1\right)\cup\left(1,2\right)$

d)

$\left(-\infty,-3\right)\cup\left(-1,2\right)$

5.

Even functions are symmetric across

a)

The origin

b)

The X-axis

c)

Quadrant 2

d)

The Y-axis

6.

A doctor fee is based on Time: t is in minutes.

According to the piece wise function, how much will it cost if I spent 14 min.

a)

$50

b)

$100

c)

$80

d)

$105

7.

find side c using law of sines!

a)

11.8

b)

12.8

c)

9.8

d)

13.8

8.

find side c using law of cosines.

a)

5.9

b)

6.7

c)

9.7

d)

8.7

9.

Write a geometric recursive formula for the following sequence:
$\frac{1}{2},1,2,4,8$

a)

$a_n=a_{n-1}$

b)

$a_n=a_{n-1}+2$

c)

$a_n=a_{n-1}+5$

d)

$a_n=2\cdot a_{n-1}$

10.

expand the logarithmetic using the product rule:

\log_7\left(x\cdot z\right)

a)

$\log_7\left(x\right)+\log_7\left(z\right)$

b)

$\log_7\left(x\right)-\log_7\left(z\right)$

c)

$\log_7\left(\frac{x}{z}\right)$

d)

$\log_7\left(x-z\right)$

11.

what is the absolute minimum of the following graph:

a)

3

b)

7

c)

-42

d)

-5

PreCal Semester 1 Exam

Total questions: 11

Worksheet time: 3hrs 45mins

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