NAME :SCORE:

GRADE:

LOS ANGELES TRADE TECHNICAL COLLEGE

FINAL EXAM-A

SEMESTER : FALL – 2021

DATE : 12 / 16 / 2021

CLASS : INTERMEDIATE-ALGEBRA-MATH-125

START : 2:30 PM

STOP : 4:30 PM

COMPLETE UPLOAD by 4:40 PM

No Exceptions

CONDUCT FOR THIS EXAM

1. Academic integrity must be upheld and academic

dishonesty rule and consequence as outlined in Syllabus

applies here.

2. You Must only use Calculator and the information on

this Test. No Textbook or any other assignment

materials nor software should be opened or used

3. You Must Use Graph Sheets and a Straight Edge for

Graphs Or Print and Use the Graph sheets on this Exam

4. YOU MUST STAY LOGGED ON TO ZOOM BOTH VIDEO AND AUDIO

TILL THE DURATION OF EXAM and CLASS. YOU CANNOT LOG OUT

TILL YOU HAVE SUBMITTED YOUR EXAM IN THE PROPER WAY ON

CANVAS AS ONE PDF FILE

5. ITS YOUR RESPONSIBILITY TO MAKE YOUR ASSIGNMENT CLEAR

AND READABLE. NON-READABLE WORK EARNS ZERO SCORE.

6. YOU MUST SUBMIT EXAM IN ITS PROPER ASSIGNMENT SLOT ON

CANVAS, ELSE YOU GET ZERO ON THIS EXAM.

7. YOU MUST FINISH AND UPLOAD EXAM PROPERLY WITHIN THE

TIME ASSIGNED, WHETHER YOU ARE DONE OR NOT.

8. ANY LATE SUBMISSION BEYOND EXAM

STOP TIME = ZERO SCORE

Did You Read The Instruction and Direction above ?

SHOW ALL WORK CLEARLY. No credit for magically obtained answers

1. Solve and give the exact solution, not approximation: ( 17 pts )

−7 x + 1 4 − x

1

+

=−

3

2

5

Type of Equation :

( 3 pts )

2. Solve

( x + 1) ( x − 5) = 6

( 20 pts )

3. Consider the one – one function

x+6

f ( x) =

4 x − 9 . Find

a) Domain of f : D ( f ) =

b) Inverse of f :

f −1 ( x)

c) Range of f :

R( f ) =

( 5 pts )

( 15 pts )

( 5 pts )

4. Solve the absolute value inequality and graph solution on the

number line ( 20 pts )

3 − 2 + 3x 2

5. Solve and check ( 24 pts )

x+2 + x+9 = 7

6.Consider the exponential function

g ( x ) = 2 x −3 − 1

a) Find the x and y ( also called g intercept ) of

g ( x)

.

( 6 pts )

b) What is the equation of the horizontal asymptote? ( 2 pts )

c) Without plotting points, transform the basic graph of the function

h( x ) = 2 x

into the graph of

g ( x) .

Label all intercepts with ordered pairs

( 8 pts )

d) Write the domain and range , using interval notation.( 6 pts )

7. Solve by elimination ( 24 pts )

x + 2 y − 3z = −19

3x + 2 y − z = −9

−2 x − y + 3z = 26

8. Consider the linear inequality:

x +1

2

x −3

a) Solve using sign graph to determine your solution interval

( 18 pts )

b) graph your solution on the number line (3 points )

c) write solution in interval notation form ( 3 pts )

9. Solve and check

( 24 pts )

Log3 ( x + 8) + Log3 ( x + 4) = Log3 5

10. Graph the solution region of the system of linear inequalities

And pick two points in and two points out of the solution

region( 24 pts )

2x + 3 y 6

x − 2y 4

11. a) Find the equation of the line containing the points (5, −1)

and

(1,5) .

( 15 pts )

b) Write your answer in slope intercept form ( 3 pts )

c)Write the answer in function notation

( 3 pts )

f ( x) = mx + b

12. The length of a rectangular carpet is 3 feet more than its width .

If the perimeter is 28 feet, find the dimensions of the carpet by

doing the following :

a) Write algebraic expressions for the unknowns, using only one

variable and in complete sentences. ( 4 pts )

b) Draw and label the rectangular carpet. ( 4 pts )

c) write the equation , solve it and find the dimensions of the

rectangular carpet ( 15 pts )

13. Two gardeners can do the weekly yard maintenance in 8

minutes if they work together . The older gardener takes 12

minutes more than the younger gardener to finish the job lone

by himself. We want to know how long it takes each gardener

to do the weekly yard maintenance individually ? Do the

following :

1 1 1

+ =

a b c

a) Using only one variable, in complete sentences, write algebraic

expressions for the unknown(s) ( 4 pts )

b) Write the equation, solve it and find how long it will take each

person to do the weekly yard maintenance ( 25 pts )

GOOD LUCK!!!

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