Math 121, Some Practice Questions for Test 4 Name: Hints and Answers
1 0 1. The augmented matrix 0 ables x, y, z.
2 0 3 1 3 0 represents a system of equations in the vari0 k 4
(a) For what values of k is there no solution? Answer. k = 0 (b) For what val
Math 121, Test 4, 7 March 2U
Name: Hi-Iiil (Mei .th'jéto-rui
Instructions. Do each of the following 14 questions. The rst six question are worth 2 points
est-h, and the last eight questions are worth 5 points eaeh. You nmst shoar all appropriate
work to
Math 121, Quiz 5, November 5, 2004 Name: Answers and Hints
1. An investment of $3000 is placed in stocks and bonds. The annual rate of return on the stocks is 4.5%, the annual rate of return on the bonds is 8%. The annual return from the stocks and bonds
Math 121, Quiz 8, December 2, 2004 Name. Hints and Answers
Instuctions. Do all questions. This is a closed book quiz. 1. (a) Solve the equation log2 1 =x 8
(b) Find the domain of f (x) = log5 (x2 - 4) 1 Answer. (a) 2x = , so 2x = 2-3 , and so x = -3. 8 (b
Math 121, Quiz 6, November 12, 2004 Name: Hints and Answers 4 2x + 3y 6z = 3x 2y 9z = 7 2x + 5y 6z = 8 as an augmented
1. Write the linear system of equations matrix.
2 3 6 4 Answer. The augmented matrix is 3 2 9 7 2 5 6 8
1 2. The augmented matrix 1 1 a
Math 121, Test 4, 16 November 2004 Name. Hints and Answers
Instructions. Do each of the following 11 questions. Each question is worth 5pts. Please show all appropriate work in order to obtain maximal credit. Good Luck. 1. A broker invests $30,000 of a cl
Math 121, Test 3, 29 October 2004 Name: Instructions. Do each of the following 12 problems. Each problem is worth 5pts. Show all appropriate details in your solutions. Calculators are not allowed on questions 1 through 6. Good Luck! 1. Use synthetic divis
Math 121, Test 2, October 19, 2004 Name: Hints and Answers
Instructions. Part I: Do each of the following 10 problems. Each problem is worth 5pts. Show all appropriate details in your solutions. Calculators are not allowed. Good Luck! When you turn this i
Math 121, Quiz 3, October 15, 2004 Name: Hints and Answers
Instructions. Do all problems, and show all of your work. Calculators are not allowed. 1. (a) Find the equation of the line through the points (-2, 5) and (3, -5). Write your answer in y = mx + b
Math 121, Quiz 2, October 1, 2004 Name: Hints and Answers
Instructions. Do all problems, and show all of your work. Calculators are not allowed. 1. (2 pts) A worker can build a fence in 11 hours. With the help of an assistant, the fence can be built in 7
Math 121, Test 1, October 5, 2004 Name: Instructions. Part I: Do each of the following 8 problems. Each problem is worth 5pts. Show all appropriate details in your solutions. Calculators are not allowed. Good Luck! When you turn this in, please pick up Pa
Math 121, Test 3, 29 October 2004 Name: Answers and Hints 1. Use c = -1, in synthetic division is as follows: -1 1 0 0 0 1 -1 1 -1 1 1 -1 1 -1 2 2 . x+1
Thus the answer is x3 - x2 + x - 1 +
2. (a) The polynomial P (x) has n odd, with an > 0, thus it goes
Math 29
Conic Sections: Parabolas, Circles, Ellipses, and Hyperbolas
General Equation of a Shifted Conic
The graph of the equation Ax Cy Dx Ey F 0 , where A and C are not both 0, is a
2
2
conic section. The graph is
1. a parabola if A or C is 0.
2. a circ
Math 29
Solving Trigonometric Equations
Find all solutions for each of the following.
1. csc x 2
3. cos2 x cos x 0
2. tan x 1 0
4. 2sin 2 x sin x 1
Solve each equation for solutions in the interval specified. When possible, state exact solutions.
Otherwis
Math 29
Factoring
Factor the expression completely.
1. 9 x 4 4 y 2
2. x3 1
3. 3 x 2 10 xy + 8 y 2
4. 10 x 2 250
5. x3 4 x 2 9 x + 36
6. 4 x 3 + 32
7. x 23 y x 21 y
8. 3 x 2 18 x 21
9. 4 x 8 x 2 5 x 3
10. x 4 4 x 2 45
11.
13. 8 x 6 + 14 x 5 4 x 4
14. 45 x3
Math 121, Practice Questions for Chapter 3
1. Use long division to nd (6x4 + 8x3 47x2 + 19x + 5) (2x2 + 6x 5).
2. Use synthetic division to nd (x4 + 9x3 5x + 10) (x + 3)
3. Let P (x) = 6x4 + 8x3 8x2 31x + 4, use the remainder theorem to nd P (6).
4. Deter
Math 121, Test 2, October 25, 2006 Name: Instructions. Do each of the following 12 problems. Each problem is worth 5pts. Show all appropriate details in your solutions. No calculators are not allowed on the first 6 problems. 1. (a) Find the midpoint of (1
Math 121, Test 4, 30 November 2006 Name: Hints and Answers Instructions. Do each of the following questions. The first five question are worth 2 points each, and the last eight questions are worth 5 points each. You must show all appropriate work to obtai
Math 121, Test 4, 30 November 2006 Name: Instructions. Do each of the following questions. The rst ve question are worth 2 points each, and the last eight questions are worth 5 points each. You must show all appropriate work to obtain full credit. Good Lu
Math 121, Quiz 6, 16 November 2006 Name: Hints and Answers
1. Let A =
2 -1 4 1 3 ,B= . Find the following, if possible, if an operation -3 1 0 2 -1 is not possible, state why it is not possible. (a) AB (b) BA
Answer. (a) Not possible because the number of
Math 121, Test 2, February 7, 2006 Name: Instructions. Do each of the following 12 problems. Each problem is worth 5pts. Show all appropriate details in your solutions. No calculators are not allowed on the rst 9 problems. 1. (a) Find the midpoint of (3,
Math 121, Test 3, 17 February 2006 Name: Instructions. Do each of the following eleven questions. Show all of your work. Do not use a calculator on the first part. Good luck. 1. Use synthetic division to find (5x5 + 10x4 - 5x + 2) (x + 2).
2. Let P (x) =