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Below the final exam is attached please complete itIf you need any other information please feel free to contact me.I need it done ASAP and show all working on how you got to the answer
final_exam_part_ii.pdf

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Intermediate Algebra
Final Exam Part II
Prof. Hanson
Date ________________________
Class________________________
Name___________________________________
There are 13 questions on this part of your final exam. You are required to complete only 10 for grading. Each question
is worth 6 points. You must clearly write “OMIT” on the 3 questions you do not want graded.
Answer the following questions. Show all work necessary to receive partial credit.
Determine the solution to the system of linear equations graphically. If the system is dependent or inconsistent, so
state.
1)
y=x-3
y = -2x + 6
Find the solution to the system of equations by the substitution or addition method.
2)
x + 6y = 6
2x – 7y = -7
1
3)
5x – 4 = 4
Find the equation of a line with the properties given. Write the equation in slope intercept form and then graph the
NEW LINE only on the axes below.
4)
Through (2, 1) and perpendicular to the line whose equation is y =
1
x + 4;
2
Hint: Start by using the point slope form of an equation, given by y – y1 = m(x – x 1 )
2
Factor both parts of this question completely. Hint: factor the first one by grouping.
5) a)
b)
ax + x – am – m
x3 + 27
Add or subtract. Be sure to simplify if possible.
6)
3x
4
6
+
x + 1 x – 1 x2 – 1
Divide and simplify if possible.
x 2 + 11x + 30
x 2 + 6x
7)
÷
x 2 + 12x + 35 x 2 + 15x + 56
3
Solve the equation and check your solution.
8)
-2x
x
2x – 3
=
+
2x + 2 4x + 4
x+1
Solve the equation by the quadratic formula. x =
-b ± b2 – 4ac
2a
9) x 2 + 7x + 7 = 0
Divide using long division.
8m 3 + 12m 2 – 4m + 8
10)
m+2
4
Simplify the complex fraction.
4+
11)
2
x
x 1
+
4 8
Solve the quadratic equation by factoring the left hand side completely.
12)
2x 2 – 16x + 30 = 0
Subtract the following expressions. Hint: first convert each of the radicals to its simplest form.
13)
3 20 – 2 45
5