Directions: Please show all of your work for each problem. If applicable, you may find Microsoft Word’s equation editor helpful in creating mathematical expressions in Word. The option of hand writing your work and scanning it is acceptable.
1. List all the factors of 88.
2. List all the prime numbers between 25 and 60.
3. Find the GCF for 16 and 17.
4. Find the LCM for 13 and 39.
5. Write the fraction in simplest form.
6. Multiply. Be sure to simplify the product.
7. Divide. Write the result in simplest form.
8. Add.
9. Perform the indicated operation. Write the result in simplest form. –
10. Perform the indicated operation. Write the result in simplest form. ÷
11. Find the decimal equivalent of rounded to the hundredths place.
12. Write 0.12 as a fraction and simplify.
13. Perform the indicated operation. 8.50 – 1.72
14. Divide.
15. Write 255% as a decimal.
16. Write 0.037 as a percent.
17. Evaluate. 56 ÷ 7 – 28 ÷ 7
18. Evaluate. 9 42
19. Multiply: (-1/4)(8/13)
20. Translate to an algebraic expression: Twice x, plus 5, is the same as -14.
21. Identify the property that is illustrated by the following statement. 5 + 15 = 15 + 5
22. Identify the property that is illustrated by the following statement.
(6 · 13) 10 = 6 · (13 · 10)
23. Identify the property that is illustrated by the following statement.
10 (3 + 11) = 10 3 + 10 11
24. Use the distributive property to remove the parentheses in the following expression. Then simplify your result where possible. 3.1(3 + 7)
25. Add. 14 + (–6)
26. Subtract. –17 – 6
27. Evaluate. 3 – (–3) – 13 – (–5)
28. Multiply.
29. Divide.
30. Evaluate. (–6)2 – 52
31. Evaluate. (–9)(0) + 13
32. A man lost 36 pounds (lb) while dieting. If he lost 3 pounds each week, how long has he been dieting?
33. Write the following phrase using symbols: 2 times the sum of v and p
34. Write the following phrase using symbols. Use the variable x to represent the number: The quotient of a number and 4
35. Dora puts 50 cents in her piggy bank every night before she goes to bed. If M represents the money (in dollars) in her piggy bank this morning, how much money (in dollars) is in her piggy bank when she goes to bed tonight?
36. Write the following geometric expression using the given symbols.
times the Area of the base (A) times the height(h)
37. Evaluate if x = 12, y = , and z = .
38. A formula that relates Fahrenheit and Celsius temperature is . If the current temperature is 59°F, what is the Celsius temperature?
39. If the circumference of a circle whose radius is r is given by C = 2πr, in which π ≈ 3.14, find the circumference when r = 15 meters (m).
40. Combine like terms: 9v + 6w + 4v
41. A rectangle has sides of 3x – 4 and 7x + 10. Provide a simplified expression for its perimeter.
42. Subtract 4ab3 from the sum of 10ab3 and 2ab3.
43. Use the distributive property to remove the p.
Directions Please show all of your work for each problem. If app.docx
1. Directions: Please show all of your work for each problem. If
applicable, you may find Microsoft Word’s equation editor
helpful in creating mathematical expressions in Word. The
option of hand writing your work and scanning it is acceptable.
1. List all the factors of 88.
2. List all the prime numbers between 25 and 60.
3. Find the GCF for 16 and 17.
4. Find the LCM for 13 and 39.
5. Write the fraction in simplest form.
6. Multiply. Be sure to simplify the product.
7. Divide. Write the result in simplest form.
8. Add.
2. 9. Perform the indicated operation. Write the result in
simplest form. –
10. Perform the indicated operation. Write the result in
simplest form. ÷
11. Find the decimal equivalent of rounded to the hundredths
place.
12. Write 0.12 as a fraction and simplify.
13. Perform the indicated operation. 8.50 – 1.72
14. Divide.
15. Write 255% as a decimal.
16. Write 0.037 as a percent.
17. Evaluate. 56 ÷ 7 – 28 ÷ 7
18. Evaluate. 9 42
3. 19. Multiply: (-1/4)(8/13)
20. Translate to an algebraic expression: Twice x, plus 5, is
the same as -14.
21. Identify the property that is illustrated by the following
statement. 5 + 15 = 15 + 5
22. Identify the property that is illustrated by the following
statement.
(6 · 13) 10 = 6 · (13 · 10)
23. Identify the property that is illustrated by the following
statement.
10 (3 + 11) = 10 3 + 10 11
24. Use the distributive property to remove the parentheses in
the following expression. Then simplify your result where
possible. 3.1(3 + 7)
25. Add. 14 + (–6)
26. Subtract. –17 – 6
27. Evaluate. 3 – (–3) – 13 – (–5)
28. Multiply.
29. Divide.
4. 30. Evaluate. (–6)2 – 52
31. Evaluate. (–9)(0) + 13
32. A man lost 36 pounds (lb) while dieting. If he lost 3
pounds each week, how long has he been dieting?
33. Write the following phrase using symbols: 2 times the sum
of v and p
34. Write the following phrase using symbols. Use the
variable x to represent the number: The quotient of a number
and 4
35. Dora puts 50 cents in her piggy bank every night before
she goes to bed. If M represents the money (in dollars) in her
piggy bank this morning, how much money (in dollars) is in her
piggy bank when she goes to bed tonight?
36. Write the following geometric expression using the given
symbols.
times the Area of the base (A) times the height(h)
37. Evaluate if x = 12, y = , and z = .
38. A formula that relates Fahrenheit and Celsius temperature
is . If the current temperature is 59°F, what is the Celsius
5. temperature?
39. If the circumference of a circle whose radius is r is given
by C = 2πr, in which π ≈ 3.14, find the circumference when r =
15 meters (m).
40. Combine like terms: 9v + 6w + 4v
41. A rectangle has sides of 3x – 4 and 7x + 10. Provide a
simplified expression for its perimeter.
42. Subtract 4ab3 from the sum of 10ab3 and 2ab3.
43. Use the distributive property to remove the parentheses,
then simplify by combining like terms: 7(4s – 5) + 9
44. Multiply: 8u6 3u3
45. Simplify the expression, if possible:
1. Is 12 a solution to the equation 7 – x = 5?
2. Is –9 a solution to the equation 9 – 8x = 81?
3. Solve -2x+7>=9
4. Solve 3(x-5)<2(2x-1)
5. Solve. 8x + 2 = 7x
6. 6. Solve. 7x – 0.96 = 6(x – 0.67)
7. Solve for x. 4x = –8
8. A company estimates that 5% of the parts they
manufacture are defective. If 8 defective parts are found one
week by the quality assurance testers, how many parts were
manufactured that week?
9. Solve for x. 35 – 7x = 35
10. Solve for x. – 5 = 5
11. Solve for x. 4(x – 2) + 4x = 5x + 4
12. Solve for x. 7x – 3 + 3x = 10x – 3
13. Solve for x. –10x + 1 – 7x = –17x + 7
14. Solve the literal equation for y. x + 5y = 25
15. A rectangular solid has a base with length 5 cm and width
2 cm. If the volume of the solid is 100 cm3, find the height of
the solid. [Hint: The volume of a rectangular solid is given by
V = LWH.]
16. Translate the following statement into an algebraic
equation. Let x represent the number. 1 less than 15 times a
number is 9 times that same number.
17. The sum of three consecutive odd integers is 201. Find the
integers.
7. 18. At 9:00 a.m. a truck leaves the truck yard and travels west
at a rate of 35 mi/hr. Two hours later, a second truck leaves
along the same route, traveling at 70 mi/hr. When will the
second truck catch up to the first?
19. The base of an isosceles triangle is 1 in. less than the
length of one of the equal sides. If the perimeter of the triangle
is 20 in., find the length of each of the sides.
20. Identify the amount in the statement "318 is 53% of 600."
21. Elaine was charged $126 interest for 1 month on a $1800
credit card balance. What was the monthly interest rate?
22. A broach was marked up $150 from cost, which amounts to
a 50% increase. Find the original cost of the broach.
23. Solve the solution set. 8x + 3 < 4x – 13
24. Solve the solution set. 5x + 12 > 10x – 8
25. An arithmetic student needs an average of 70 or more to
receive credit for the course. She scored 76, 69, and 84 on the
first three exams. Write a simplified inequality representing the
score she must get on the last test to receive credit for the
course.
26. The length of a rectangle is 2 in. more than twice its width.
If the perimeter of the rectangle is 28 in., find the width of the
rectangle.
27. Solve and check: 6x=4(x-5)
28. Solve 1/4x<=3/8
8. 29. Solve 8x-7<=7x-5
30. Solve -5x>23.5
1. Simplify. (a6b7)6
2. Simplify.
3. Classify the following as a monomial, binomial or
trinomial, where possible.
4. Classify the following as a monomial, binomial or
trinomial, where possible.
4x2 – 3xy + y2
5. Classify the following as a monomial, binomial or
trinomial, where possible.
y7 + y6 + 8y5+ 2
6. Write in descending order and give the degree. 7x3 +
10x4 + 10
7. Evaluate –x2 – 10x – 6 for x = 3.
8. True or False? The degree of a trinomial is never 4.
9. Evaluate (assume x does not equal 0). 8x0
9. 10. Write using positive exponents and simplify, if possible.
5–3
11. Simplify and write your answer with only positive
exponents.
12. Simplify. Write your answer with only positive exponents.
13. Express the number in scientific notation. The diameter of
Neptune: 49,600,000 m
14. Perform the indicated calculations. Write your result in
scientific notation.
15. The distance from a star to a planet is 7.4 1018 m. How
long does it take light, traveling at 1016 m/year, to travel from
the star to the planet?
16. Add 6m2 – 2m – 4 and 10m2 + 3m – 6.
17. Remove the parentheses and simplify. 7y – (–10y – 9x)
18. Subtract 4d2 + 9d – 10 from 10d2 – 3d + 7.
19. Perform the indicated operations. [(6y2 + 2y – 2) – (–y2 –
10. 10y + 2)] – (–4y2 + 3y + 3)
20. A census study shows that the population from 1990 to
1998 of the only large town in a certain county can be modeled
by the formula 102t2 – 225t + 3090 where t = 0 represents the
year 1990 and that over the same years, the population of the
surrounding county (not including the town) can be modeled by
the formula 125t2 + 72t + 4978 where t = 0 represents the year
1990. Find a model for the total population of the county
during the years 1990 to 1997.
21. Multiply. –6x(–4x – 7)
22. Multiply. (5m – 3)(4m + 7)
23. Multiply. (–4x – 2)2
24. Divide.
25. Divide.
26. Write 7.7x10^8 in standard notation.
27. Evaluate 4x^0+5
28. Simplify and write using positive exponents. (-6)^-2
29. Simplify x^-7/y^-2
30. Multiply (x-9)(x+9)
11. 1. Find the greatest common factor. 4, 6, 12.
2. Factor. 24x3 + 30x2
3. Factor out the GCF with a negative coefficient. –
24m2n6 – 8mn5 – 32n4
4. Factor completely by factoring out any common factors
and then factoring by grouping.
6x2 – 5xy + 6x – 5y
5. The GCF of 15y + 20 is 5. The GCF of 15y + 21 is 3.
Find the GCF of the product (15y + 20)(15y + 21).
6. The area of a rectangle of length x is given by 15x – x2.
Find the width of the rectangle in terms of x.
7. Factor the trinomial completely. x2 + 8x – 9
8. Factor the trinomial completely. 2x2 + 16x + 32
9. Complete the following statement. 6a2 – 5a + 1 = (3a –
1)(__?__)
10. State whether the following is true or false. x2 – 7x – 30
= (x + 3)(x – 10)
11. Factor completely. x2 + 11x + 28
12. Factor completely. 15x2 + 23x + 4
12. 13. Factor completely. 6z3 – 27z2 + 12z
14. The number of hot dogs sold at the concession stand
during each hour iih after opening at a soccer tournament is
given by the polynomial 2h2 – 19h + 24. Write this polynomial
in factored form.
15. Find a positive value for k for which the polynomial can be
factored. x2 – kx + 29
16. Factor completely. 9x2 + 4
17. Determine whether the following trinomial is a perfect
square. If it is, factor the binomial.x2 – 12x + 36
18. Factor completely. 25x2 + 40xy + 16y2
19. Factor. s2(t – u) – 9t2(t – u)
20. State which method should be applied as the first step for
factoring the polynomial. 6x3 + 9x
21. State which method should be applied as the first step for
factoring the polynomial. 2a2 + 9a + 10
22. Solve the quadratic equation. 5x2 + 17x = –6
23. Solve the quadratic equation. 3x(2x – 15) = –84
24. The sum of an integer and its square is 30. Find the
integer.
25. If the sides of a square are decreased by 3 cm, the area is
decreased by 81 cm2. What were the dimensions of the original
square?
13. 26. Write in simplest form.
27. Write in simplest form.
28. Write the expression in simplest form.
29. The area of the rectangle is represented by 5x2 + 19x + 12.
What is the length?
5x + 4
30. Multiply.
31. Multiply.
32. Divide.
14. 33. Divide.
34. Perform the indicated operations.
35. Find the area of the rectangle shown.
36. Subtract. Express your answer in simplest form.
37. Subtract. Express your answer in simplest form.
38. Add. Express your answer in simplest form.
39. Add. Express your answer in simplest form.
40. Add or subtract as indicated.
15. 41. One number is 8 less than another. Let x represent the
larger number and use a rational expression to represent the sum
of the reciprocals of the two numbers.
42. Simplify.
43. Simplify.
44. What values for x, if any, must be excluded in the
following algebraic fraction?
45. What values for x, if any, must be excluded in the
following algebraic fraction?
46. Solve for x. + 6 = 1
47. Solve for x.
16. 48. Solve for x.
49. One number is 3 times another. If the sum of their
reciprocals is , find the two numbers.
50. A 5-foot pole casts a shadow of 4 feet. How tall is a tree
with a shadow of 16 feet?
1. Determine which of the ordered pairs (0, 1), (2, 0), (0, –
1), (–8, 5) are solutions for the equation x + 2y = 2.
2. Complete the ordered pairs so that each is a solution for
the equation 2x + y = 10.
(5,__?__), (__?__, 10), (__?__, –2), (7, __?__)
3. Give the coordinates of the point graph:
4. Give the coordinates of the point graphed below.
5. Find the slope of the line through the points (10, 7) and (8,
–10).
6. Find the slope of the line through the points (–3, –2) and
(–3, 0).
17. 7. Find the slope of the line through the points (–6, 3) and (5,
3).
8. Find the slope of the graphed line.
9. Find the slope of the graphed line.
(Gridlines are spaced one unit apart.)
10. Find the slope of the graphed line.
11. Find the slope of the line that passes through (3, 2) and (8,
11).
12. Find the slope of a line that passes through (3, 7) and (-2,
11).
13. Find the slope of a line that passes through (3, -2) and (-1,
-6).
14. Graph 3x + 2y = 6.
A)
(Gridlines are spaced one unit apart.)
C)
(Gridlines are spaced one unit apart.)
B)
(Gridlines are spaced one unit apart.)
D)
18. (Gridlines are spaced one unit apart.)
15 Determine whether (0, 5) is a solution for y=3x-5.
16. Determine whether (-2, 3) is a solution for y=-2x+7.
17. Determine whether (1, 0) is a solution for -6x+5y=-6
18. Determine whether (12/5, -1) is a solution for 5x-3y=9
19. Determine whether (1, 5) is a solution for y=-2x+7.
20. Determine whether (-1, -8) is a solution for y=x-5.
1. Find the y-intercept of the line represented by the
following equation. –2x + 2y = 16
2. Write the equation of the line with slope –4 and y-intercept
(0, –9).
3. Write the equation of the line with slope and y-intercept
(0, 3).
4. One day, the temperature at 9:00 A.M. was 49°F, and by
3:00 P.M. the temperature was 61°F. What was the hourly rate
of temperature change?
19. 5. Determine which two equations represent parallel lines.
(a) y = –7x + 3 (b) y = 7x + 3 (c) y = x + 3 (d) y = –7x
+ 6
6. Determine which two equations represent perpendicular
lines.
(a) y = x – 5 (b) y = 5x – (c) y = x + (d) y = x –
7. Are the following lines parallel, perpendicular, or neither?
L1 through (–4, –7) and (1, 3)
L2 through (2, 6) and (4, 10)
8. Are the following lines parallel, perpendicular, or neither?
L1 with equation x – 5y = 25
L2 with equation 5x + y = 5
9. Find the slope of any line perpendicular to the line through
points (8, 4) and (9, 7).
10. A line passing through (6, –10) and (–1, y) is
perpendicular to a line with slope . Find the value of y.
20. 11. Use the concept of slope to determine whether the given
figure is a right triangle (i.e., does the triangle contain a right
angle?).
12. Write the equation of the line that passes through point (0,
9) with a slope of 6.
13. Write the equation of the line passing through (1, –8) and
(1, 3). Write your results in slope-intercept form, if possible.
14. Write the equation of the line with x-intercept (–9, 0) and
undefined slope. Write your results in slope-intercept form, if
possible.
15. A copier was purchased by a company for $7,500. After 5
years it is estimated that the value of the copier will be $4,500.
If the value in dollars V and the time the copier has been in use
t are related by a linear equation, find the equation that relates
V and t.
16. You have at least $60 in change in your piggy bank,
consisting of quarters and pennies. Write an inequality that
shows the different number of coins in your piggy bank.
17. If f(x) = –x3 – x2 + 2x + 6, find f(–2), f(0), and f(3)
18. Rewrite the equation y = 2x + 2 as a function of x.
19. The inventor of a new product believes that the cost of
producing the product is given by the function: C(x) = 2.75x +
2,000. How much does it cost to produce 6,000 units of his
invention?
20. Given f(x) = –5x + 3, find f(a + 1).
21. 21. Write the equation of a line that passes through (0, 4) and
has a slope of -1/5.
22. Write the equation of a horizontal line with a y-intercept
of 7.
23. What is the slope and the y-intercept of y=3x+1?
24. What is the slope and y-intercept of y=-3?
25. What is the slope and y-intercept of 6x+y=10?
26. Determine whether the lines are parallel, perpendicular, or
neither.
Y=-3x+1
Y=-3x-8
27. Determine whether the lines are parallel, perpendicular, or
neither.
2x-y=-10
2x+4y=2
28. Determine whether the lines are parallel, perpendicular, or
neither.
Line 1 passes through (0, 3) and (2, 5)
Line 2 passes through (5, -4) and (-3, 3)
29. Write the equation of a line that passes through (4, 0) and
(-4, -5). Write your answer in slope-intercept form.
30. Write the equation of a line that passes through (-1, 2) and
(3, 5). Write your answer in slope-intercept form.
31. Write the equation of a line that passes through (1, -45)
with a slope of -3. Write your answer in slope-intercept form.
22. 32. Write the equation of a line that passes through (-2, 5)
with a slope of -4. Write your answer in slope-intercept form.
33. Write the equation of a line that passes through (-2, 5) and
(-6, 13). Write your answer in slope-intercept form.
34. f(x)=1/2x Find f(0)
35. f(x) = 4x^2+3x Find f(-2)
36. f(x)=3x+3 Find f(-1)
37. f(x)=5x^2-7 Find f(0)
1. Solve the system by addition.
x + 4y = 2
3x – 2y = –22
2. Solve the system by addition.
x + y = 8
x – y = 8
3. Solve the system by addition.
5x – 3y = 13
4x – 3y = 11
4. The sum of two numbers is 33. Their difference is 7.
What are the two numbers?
5. Sally bought three chocolate bars and a pack of gum and
paid $1.75. Jake bought two chocolate bars and four packs of
gum and paid $2.00. Find the cost of a chocolate bar and the
cost of a pack of gum.
23. 6. Adult tickets for a play cost $16 and child tickets cost $6.
If there were 25 people at a performance and the theater
collected $260 from ticket sales, how many adults and how
many children attended the play?
7. Solve the system by substitution.
x + 3y = –4
2x + 2y = –8
8. The difference of two numbers is 36. The larger is 6 less
than 4 times the smaller. What are the two numbers?
9. The base of a ladder is 6 feet away from the wall. The top
of the ladder is 7 feet from the floor. Find the length of the
ladder to the nearest thousandth.
10. A company produces doll houses and sets of doll furniture.
The doll houses take 3 hours of labor to produce, and the
furniture sets take 8 hours. The labor available is limited to
400 hours per week, and the total production capacity is 100
items per week. Existing orders require that at least 20 doll
houses and 10 sets of furniture be produced per week. Write a
system of inequalities representing this situation, where x is the
number of doll houses and y is the number of furniture sets.
11. Evaluate , if possible.
12. Evaluate , if possible.
24. 13. State whether is rational or irrational.
14. State whether is rational or irrational.
15. The area of a square is 83 cm2. Find the length of a side
to the nearest hundredth.
16. The time in seconds that it takes for an object to fall from
rest is given by , in which s is the distance fallen (in feet). Find
the time required for an object to fall from the ground from a
building that is 800 feet high. Round your answer to the nearest
hundredth of a second.
17. Simplify.
18. Simplify. Assume x represents a positive real number.
19. Simplify.
25. 20. Decide whether the following is written in simplest form.
21. Simplify by combining like terms.
22. Simplify by combining like terms.
23. Find the perimeter of the triangle shown in the figure.
Write your answer in reduced radical form.
24. Perform the indicated multiplication. Then simplify.
25. Perform the indicated multiplication. Then simplify the
radical expression.
26. Perform the indicated multiplication. Then simplify the
radical expression.
26. 27. Perform the indicated division. Rationalize the
denominator, if necessary. Then, simplify.
28. Solve.
1. Solve for x. x2 + 2 = 6
2. Solve for x. (x + 4)2 = 3
3. Solve for x. –9(x – 3)2 = –7
4. The base of a 19-ft ladder is 6 feet away from the wall.
How far above the floor is the top of the ladder? Give your
answer to the nearest thousandth.
5. Solve the equation for x. (2x – 1)2 – 9 = 0
6. The square of 3 more than a number is 36. Find the
number.
7. Determine whether the following trinomial is a perfect
square. x2 + 4x + 4
8. Find the constant term that should be added to make the
following expression a perfect-square trinomial. x2 + 7x
27. 9. Solve by completing the square. x2 – 4x – 60 = 0
10. The length of a rectangle is 5 cm more than 4 times its
width. If the area of the rectangle is 60 cm2, find the
dimensions of the rectangle to the nearest thousandth.
11. Find two consecutive positive integers such that the sum of
their squares is 61.
12. Use the quadratic formula to solve the following equation.
x2 = –x + 7
13. Use the quadratic formula to solve the following equation.
2x2 + 3x – 3 = 0
14. The height h in feet of an object after t seconds is given by
the function:
h = –16t2 + 40t + 8. How long will it take the object to hit the
ground? Round your answer to the nearest thousandth.
15. Solve for x.
16. Solve. (x – 3)2 = 6 Solve a quadratic equation by
completing the square
17. Solve. 2x2 – 5x – 10 = 0 Solve a quadratic question
using the quadratic formula
18. Find the constant term that should be added to make the
following expression a perfect-square trinomial. X^2+16x
19. Find the constant term that should be added to make the
28. following expression a perfect-square trinomial. X^2-12x
20. Find the constant term that should be added to make the
following expression a perfect-square trinomial. X^2+2x
21. Find the constant term that should be added to make the
following expression a perfect-square trinomial. X^2-8x
22. Find the constant term that should be added to make the
following expression a perfect-square trinomial. X^2+x
23. Find the constant term that should be added to make the
following expression a perfect-square trinomial. X^2+9x
24. Solve by completing the square. X^2+8x=-15
25. Solve by completing the square. X^2+6x+2=0
26. Solve by completing the square. X^2+x-1=0
27. Solve by using the quadratic formula. X^2+11x-12=0
28. Solve by using the quadratic formula. X^2-6x+9=0
29. Solve by using the quadratic formula. 3x^2-7x=3
30. An entry in the Apple Festival Poster Contest must be
rectangular and have an area of 1200 square inches. Also, its
length must be 20 inches longer than its width. Find the
dimensions each entry must have.
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General Description:
Tax research is the method used to determine the best available
solution to a situation that possesses tax consequences. The tax
research process is concerned with finding the possible
alternatives to a tax situation and becomes a key in tax
planning. This process involves establishing the facts,
identifying the issues, locating and evaluating the appropriate
authority, developing conclusions and recommendations and
communicating the recommendations.
Question
Aaron, a resident of Minnesota, has been a driver for Green
Delivery Service for the past six years. For this purpose, he
leases a truck from Green, and his compensation is based on a
percentage of the income resulting from his pickup and delivery
services. Green allows its drivers to choose their 10-hour shifts
and does not exercise any control on how these services are
carried out. Under Green's operating agreement with its drivers,
Green can terminate the arrangement after 30 days' notice. In
practice, however, Green allows its truckers to quit immediately
without giving advance notice. The agreement also labels the
drivers as independent contractors. Green maintains no health or
retirement plans for its drivers, and each year it reports their
income by issuing Forms 1099-Misc. Green requires its drivers
to maintain a commercial driver's license and be in good
standing with the state highway law enforcement division.
Citing the employment tax regulations in Sections 31.3121(d)-
1(c)(2) and 31.3306(i)-1(b), an IRS agent contends that Aaron is
an independent contractor and, therefore, is subject to the self-
38. employment tax. Based on Peno Trucking, Inc. (93TCM 1027,
T.C. Memo. 2007-66), Aaron disagrees and contends that he is
an employee (i.e. not self-employed).
Who is correct and why?
Specific Requirements:
Students are required to research the issue and provide
communication of the results in (1) a tax memorandum and (2) a
letter to the client.
The paper should consist of a title page identifying the case, the
student author, and the course, using APA style.
The paper must be prepared in WORD. Arial Font size 12.
The last page should cite your resources and/or references,
using APA citation style. A minimum of four references should
be used, with at least one reference from a tax court memo, IRS
regulation, T.C. summary opinion or court case.
A minimum of four pages is required including the title page
and references page. The letter and tax memorandum should be
at least one page each and not exceed two pages each.
Assessment: Objectives
Low Performance
Average
Exemplary Performance
REFERENCES & QUALITY OF RESEARCH 1. At least 4
references, textbook may be included in this total. 2.
Appropriate source information is used to support the opinion.
3. The source information is integrated into the writing.
0 points No references used or listed
20 points 1-2 references, one is the textbook. No websites from
IRS tax court cases, T.C. memos or regulations are used.
Weak use of source information and is not integrated well into
the writing.
40 points 4 or more sources effectively used to analyze issue.
39. Appropriate source information is used to support opinion and
excellent integration into writing.
CONTENT & DEVELOPMENT 1. Consideration of all taxation
aspects of topic 2. Pro and Con decisions 3. Must be current tax
law. 4. Include all pertinent issues 5. Information is on topic
20 points 1. Does not discuss the pros and cons 2. Is not on
topic 3. Does not consider legal aspects of topic.
60 points 1. Discusses pros and cons 2. Uses pertinent cases
100 points 1. Discusses all sides of the issue thoroughly 2.
Pertinent, current law cases are included. 3. Provides the client
with a conclusive answer to the issue.
CORRECT GRAMMAR , SPELLING AND FORMAT: 1. Tax
Memo a. Issue identification b. Explanation of code sections c.
Explanations of regulations d. Analysis is complete and
appropriate e. Format 2. Client letter a. Clarity b. Business
language appropriate for client. c. Format d.
5 points Does not check for spelling and grammar errors. Hard
to understand the paper.
25 points A few grammatical or spelling errors, but overall very
readable. The tax memo and client letter meet most of the listed
criteria.
50 points No errors in spelling or grammar and reads very well.
The paper is coherent and clear with excellent use of business
language appropriate for the client. Both the memo and the
letter meet the proper format and all listed criteria.
FORMAT OF CASE STUDY - 1. Separate References page 2.
Separate Title page with course, name and case. 3. Page
numbers 4. Sources on References page are properly formatted
using APS style. 5. 12 pt. Arial style font
5 points Met 1-2 of the 5 objectives of this section
5 points Met 3-4 of the objectives of this section
10 points Met all objectives of this section. The proper formats
are used for the title page, the references page, each reference
and the client letter and tax memo.