Intermediate Algebra Questionnaire

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!!!