MTH 12-A National University Algebra Final Quiz

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NAME_______________________
PONTS = 100
SCORE____________
MTH 12-A
FINAL EXAM
24 – 27 SEPTEMBER 2020
READ ALL BELOW PRIOR TO OPENING THE EXAM!
1. SUBMIT THIS EXAM TO UPLOAD WITHIN BLACKBOARD AND FORWARD A DUPLICATE
COPY TO THE INSTRUCTOR’S EMAIL ADDRESS hmac771@yahoo.com.
2. ALL EXAMS ARE DUE TO THE INSTRUCTOR NO LATER THAN 11:30 P.M. SUNDAY, 27
SEPTEMBER 2020.
3. STUDENTS ARE TO INVOKE THE NATIONAL UNIVERSITY HONOR CODE SYSTEM BY
INDEPENDENTLY SOLVING THE ENCLOSED QUESTIONS AND PROBLEMS.
4. PARTIAL CREDIT SHALL BE AWARDED FOR THOSE QUESTIONS REQUIRED TO “SHOW
WORK” IF THE FINAL ANSWER IS NOT OPTIMUM.
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I. ( 1 POINT EACH) TRUE FALSE. WRITE IN THE BLANK SPACE PROVIDED, THE COMPLETE
SELECTED WORD, TRUE OR FALSE.
True / False
1. An obtuse angle is greater than ninety degrees and less than one
hundred eighty degrees.
_______
2. For two intersecting lines, adjacent angles are on a common side of
the intersection and their sum equals one-hundred eighty degrees.
_______
3. On either side of the transversal for two parallel lines, alternate
exterior angles are equal.
_______
4. The function of the domain value determines the range value.
_______
5. A scatter plot is utilized to determine whether variables have a linear
relationship.
_______
6. Correlation describes the direction and magnitude between variables. _______
7. Within a scatter plot, variable magnitude (strong or weak) may be
determined by the close or distant proximity of the variables ordered
pair to the linear representation.
_______
8. Computing a student’s test scores for 3 tests during the first 45 days
of the semester followed by computing that same student’s test
scores for the second 45 days of the semester yields the average rate
of change of that student’s Test score performance.
_______
9. Slope measures the steepness or slant of a line.
_______
10. Rate of change is illustrated by x2 – x1
Y2 – y1 .
_______
11. Within a planar surface, a line 1 has a slope m = -1/2. A line 2 has a
slope m = 1. Therefore these lines are perpendicular to each other.
_______
12. Lines, which possess equal slopes (m), are parallel lines.
_______
13. A line is computed to be x = -3. This is a vertical line with a slope of 1.
_______
2
14. A “function” is a set of ordered pairs where no two ordered pairs have
the same first coordinate.
_______
15. A “relation” of a set of ordered pairs exist when the first coordinate,
the x value, is the same for ordered pairs in the set with different y values. _______
II. PROBLEMS
1. (5 POINTS) Given below lines L1 and L2 are straight and parallel.
Angle
= 115 degrees.
*THEREFORE ANSWERS FOR: Angle β = ____ Angle E =____ Angle K =______
Show work below or give explanation for each answer.
β
L1
E

L2
K
OPTIONAL: Show Work or Explanations here for your above answers :
3
2. ( 5 POINTS) BELOW, a Right Triangle , has angle E = 35 degrees.
HOW MANY DEGREES IN
Angle G? Angle H? Angle K?
Show work or give explanations for your answers below.
E
K
WORK OR EXPLANATIONS HERE:
G____________________________
H
H____________________________
K____________________________
G
ANSWER, ANGLES
G = _____ H =________ K=_________
______________________________________________________________________________
(5 POINTS)
3. Solve for X degrees AND solve
for angle Z
ANGLE R
250
GIVEN: ANGLE R = 250
ANGLE Z
X + 20 0
ANGLE Z = X + 200
SHOW YOUR WORK OR GIVE EXPLANATIONS HERE.
ANSWER ANGLES X =______________ Z = _________
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4. (5 POINTS) On September 10, mid-state New Hampshire, the temperature at 6
a.m. was 45 degrees. At 2 p.m., on the same day, the temperature was 77
degrees. Find the average rate of change in temperature per hour.
Show work and explanations here.
Answer_____________________
5. ( 15 POINTS) Given: the standard form linear equation 2x + 3y = 6.
A.)
x
Use the below matrix. Using the standard form equation, solve and
annotate the x and y intercepts. Then solve for one additional point
2x + 3y = 6
y
Show work here for Y intercept
Show work for x intercept here
ANSWERS
X NTERCEPT=_________
Show work for selected x value here
Y INTERCEPT =________
B.) Use the data in the above matrix to compute the slope m =
Show work here.
5
Y2 – Y1
X2 – X1
ANSWER M = _________
C.)
Convert 2x + 3y = 6 to the slope intercept form. Show work here
WRITE THE CALCULATED SLOPE INTERCEPT FORM EQUATION_________________
WRITE THE SLOPE _m =________
WRITE THE Y INTERCEPT__(___,___)
D. GRAPH THE EQUATION. Ensure the slope, x & y intercepts, x & y axis, third
selected ordered pair point, the correct linear representation is present with affixed equation
appear on your graph.
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6. (5 POINTS) A.) Find the slope intercept equation of the line which passes
through the TWO POINTS, (5, -1) and (-5, 11). Show work here.
ANSWER THE SLOPE INTERCEPT EQUATION____________________
B.) Perform a check with both sets of ordered pair to determine if this is the
correct equation.
Perform Check For (5, -1) here
Perform Check for (-5, 11) here
ANSWER _______________
ANSWER______________
WRITE YOUR CONCLUSION_________________________________________________
7. ( 10 POINTS) A.) Determine if these two lines are Parallel? Show all work.
LINE 1 L1
P1 ( -2, 1 )
P2 ( -5, -1 )
LINE 2 L2
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P1 ( 1, 0 )
P2 ( 4, 2 )
B.)
GRAPH THESE TWO LINES .
8. (5 POINTS) Given the Points:
P1 ( -4, 2 ) P2 ( 3, 2 ).
CIRCLE THE BELOW CORRECT ANSWER OR ANSWERS: CIRCLE THE LETTER AND
STATEMENT.
GIVE SHORT EXPLANATION FOR YOUR ANSWER OR SHOW WORK
-a. The slope is undefined
-b. The slope is equal to zero
-c. The line is horizontal to the x axis
-d. The line is vertical to the y axis
9. (5 POINTS) Is the line containing the points (5, -2) and (-1, 3) perpendicular to
the line that contains the points (3, 4) and (-2, -2)? Show all work.
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10. (5 POINTS) Does the graph X = 4 represent a slope of 0? Explain your answer.
11. ( 5 POINTS ) Given the following relation { (-4, 4), (-2, 2), (0, 0), (-2, -2) }
A.) Identify the set of Domain Values {
}
B.) Identify the set of Range Values {
}
C.) Is this relation a Function? _______________yes or no Explain your answer here.
12. ( 5 POINTS ) Given the following relation { (-4, 4 ), (-2, 2), (0, 0), (-2, -2) }
A.) Identify the set of Domain Values {
}
B.) Identify the set of Range Values {
}
C.) Is this relation a function? ___________yes or no Explain your answer here.
13. ( 10 POINTS )Given : f(X) = 1 x + 3. The domain is { -4, -2, 0, 2, 4 }
2
A.) Calculate the Range. Show work by using the scheme shown below.
f(x) = 1 x + 3
2
f(x) =
f(x) =
f(x) =
f(x) =
f(x) =
B.) The set of Range Values is (
}
C.) The Relation is {
}
D.) IS THIS RELATION A FUNCTION? YES OR NO. EXPLAIN WHY OR WHY NOT?
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FOR THE ABOVE PROBLEM GRAPH YOUR RELATION HERE
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