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Penn State | MATH 021
COLLEGE ALGEBRA I
Professors
• Ackerman, Neill Ho,
• ,
• Day, Curtis Alan,
• Weirich,
• Zhao,
• Roberts,
• Thin Le,
• Skinner,
• Hair

#### 77 sample documents related to MATH 021

• Penn State MATH 021
MATH 021 EXAM I, SAMPLE A 6. What is the solution set of |2 3x| 8? 1. Solve the following equation for x : x1 x4 5 + = 2 3 6 a) 2, a) x = 19 5 b) b) x = 16 5 c) 2, d) c) x = 5 d) The equation is an identity. 10 3 10 ,2 3 10 3 10 ,2 3 7. What is the soluti

• Penn State MATH 021
MATH 021 SAMPLE EXAM B, 1. Solve the equation 4(m 6) 3m = 5(m 9) 3. a) m = 6. Marta practiced for a kayak race on a local river. On one trip she traveled 10 miles upstream in 2 hours. If her speed in still water is 7.5 miles per hour, nd the speed of the

• Penn State MATH 021
MATH 021 EXAM I, VERSION A SP 2011 6. Solve for d. a = 2bc + 2bd 2cd 1. Solve the inequality. Write the solution set in interval notation. 2(x + 1) 7x 4 a) a) b) , , b) c) [1, ) h5 , d) 9 2. Find an equation of the line that passes through the point (5,

• Penn State MATH 021
MATH 021 EXAM II, SAMPLE A 2 2a3 using the rules for exponents. Use only positive b4 exponents in your answer. 6. Divide 1. Simplify a) a) 4a5 b6 b) 4a6 b8 a6 b7 m + 18a3 b4 m6 36a5 b5 m3 9a4 b4 m 1 23 2m5 ab + 4abm2 9 a b) 9a3 b2 + 2am5 + 4abm2 c) d) 4a

• Penn State MATH 021
MATH 021 EXAM II, SAMPLE B 1. Find the greatest common factor (GCF) of the polynomial 18x6 y 4 z 48x2 y 3 z 3 . 5. Factor the perfect square trinomial: 16x2 + 40xy + 25y 2 . a) 3x6 y 4 z a) (4x 5y )2 b) 6x2 y 3 z 3 b) (4x + 5y )2 c) 6x2 y 3 z c) (16x 25y

• Penn State MATH 021
MATH 021 EXAM III, SAMPLE A 1. Find the domain of the rational function f (x) = x2 3x2 + 3x 18 6. Perform the indicated operations and simplify. 3 x 5y 2 x+y x y2 a) cfw_x | x = 3, 6 a) 2 xy b) 2 x+y c) 2 (x y )(x + y ) d) b) cfw_x | x = 18, 1 2x 8y (x y

• Penn State MATH 021
MATH 021 FINAL EXAM, SAMPLE D 6. Find an equation of the line passing through the points (9, 4) and (4, 8). 1. Solve the following equation. 1 1 y (y 1) = 4y. 2 3 a) 12x 13y + 56 = 0 4 a) y = 3 b) y = 5 2 c) y = 8 9 d) y = b) 4x + 5y 56 = 0 2 23 c) 4x + 5

• Penn State MATH 021
MATH 021 FINAL EXAM, SAMPLE E 1. Solve for x: 6 7 5x 1. 3 6. Simplify the following using the rules for exponents. x3 y 7 7x3 y 10 a) [2, 5] b) [1, 6] a) 49y 34 x12 b) 49 y 34 c) x12 49y 34 d) 49x12 y 34 c) [6, 1] d) [5, 2] 2x + 1 7 2. Which one of the

• Penn State MATH 021
Sample Exam 3 information As this is the first semester that we have had three midterm exams in MATH 021, there are no old Midterm 3 exams available for practice. Please look at the following problems on the posted exams. Exam 2 Sample A: #17-20 Exam 2 Sa

• Penn State MATH 021
MATH 021 EXAM I, SAMPLE A 6. What is the solution set of |2 3x| 8? 1. Solve the following equation for x : x1 x4 5 + = 2 3 6 a) 2, a) x = 19 5 b) b) x = 16 5 c) 2, d) c) x = 5 d) The equation is an identity. 10 3 10 ,2 3 10 3 10 ,2 3 7. What is the soluti

• Penn State MATH 021
MATH 021 SAMPLE EXAM B, 1. Solve the equation 4(m 6) 3m = 5(m 9) 3. a) m = 6. Marta practiced for a kayak race on a local river. On one trip she traveled 10 miles upstream in 2 hours. If her speed in still water is 7.5 miles per hour, nd the speed of the

• Penn State MATH 021
MATH 021 EXAM II, SAMPLE A 2 2a3 using the rules for exponents. Use only positive b4 exponents in your answer. 6. Divide 1. Simplify a) a) 4a5 b6 b) 4a6 b8 a6 b7 m + 18a3 b4 m6 36a5 b5 m3 9a4 b4 m 1 23 2m5 ab + 4abm2 9 a b) 9a3 b2 + 2am5 + 4abm2 c) d) 4a

• Penn State MATH 021
MATH 021 EXAM I, VERSION A SP 2011 6. Solve for d. a = 2bc + 2bd 2cd 1. Solve the inequality. Write the solution set in interval notation. 2(x + 1) 7x 4 a) a) b) , , b) c) [1, ) h5 , d) 9 2. Find an equation of the line that passes through the point (5,

• Penn State MATH 021
MATH 021 EXAM II, SAMPLE B 1. Find the greatest common factor (GCF) of the polynomial 18x6 y 4 z 48x2 y 3 z 3 . 5. Factor the perfect square trinomial: 16x2 + 40xy + 25y 2 . a) 3x6 y 4 z a) (4x 5y )2 b) 6x2 y 3 z 3 b) (4x + 5y )2 c) 6x2 y 3 z c) (16x 25y

• Penn State MATH 021
MATH 021 EXAM II, VERSION A SPRING 2011 6. Calculate i13 . 1. Simplify. 5x2 p 128x5 y 3 a) i b) 1 a) 48x2 y xy p b) 40x4 y 2xy p c) 13x4 y 2xy p d) 40x2 y 2 2xy c) i d) 1 7. Perform the indicated operation. 6x 3x 2 3x2 + 4xy 4y 2 x + xy 2y 2 2. Multiply a

• Penn State MATH 021
MATH 021 EXAM III, SAMPLE A 1. Find the domain of the rational function f (x) = x2 3x2 + 3x 18 6. Perform the indicated operations and simplify. 3 x 5y 2 x+y x y2 a) cfw_x | x = 3, 6 a) 2 xy b) 2 x+y c) 2 (x y )(x + y ) d) b) cfw_x | x = 18, 1 2x 8y (x y

• Penn State MATH 021
Sample Exam 3 information As this is the first semester that we have had three midterm exams in MATH 021, there are no old Midterm 3 exams available for practice. Please look at the following problems on the posted exams. Exam 2 Sample A: #17-20 Exam 2 Sa

• Penn State MATH 021
MATH 021 FINAL, SAMPLE A 5. Amy can do a job in 5 hours, while it takes Mark 4 hours and Julie 6 hours each to do the same job alone. How long would it take them to do the job if the three of them worked together? 1. Divide and simplify. (x 3) a) x2 + 3x

• Penn State MATH 021
MATH 021 FINAL EXAM, SAMPLE D 6. Find an equation of the line passing through the points (9, 4) and (4, 8). 1. Solve the following equation. 1 1 y (y 1) = 4y. 2 3 a) 12x 13y + 56 = 0 4 a) y = 3 b) y = 5 2 c) y = 8 9 d) y = b) 4x + 5y 56 = 0 2 23 c) 4x + 5

• Penn State MATH 021
MATH 021 FINAL EXAM, SAMPLE E 1. Solve for x: 6 7 5x 1. 3 6. Simplify the following using the rules for exponents. x3 y 7 7x3 y 10 a) [2, 5] b) [1, 6] a) 49y 34 x12 b) 49 y 34 c) x12 49y 34 d) 49x12 y 34 c) [6, 1] d) [5, 2] 2x + 1 7 2. Which one of the

• Penn State MATH 021

• Penn State MATH 021

• Penn State MATH 021

• Penn State MATH 021

• Penn State MATH 021

• Penn State MATH 021

• Penn State MATH 021

• Penn State MATH 021

• Penn State MATH 021
MATH 021 Spring 2008 Quiz 6 Type : Practice Name: Show all work clearly and in order. You have 15 minutes to complete the three questions on this quiz. I. Find the following quotient expressing the answer in the standard form of a complex number 1
http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz6C.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz4BKey.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz5CKey.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/inequality1.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz1AKey.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/extraProblems3.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/extraProblems4.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz1CKey.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz7BKey.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz5BKey.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz2AKey.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz6BKey.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/HyperProblem.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz3AKey.pdf

• Penn State MATH 021
MATH 021 Spring 2008 Homework 1 Due date: Monday, Feb 18 in class. III. Solve each equation: 4.6.24) 4.6.26) x x-2 a a-3 +1 = - 3 2 8 x-1 3 a-3 = 1 1 1 Solve the following problems. To get full credit 4.7.38) R = S + T , solve for R you need to
http://www.personal.psu.edu/users/j/d/jdr234/Math021/Homework1.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz2BKey.pdf

• Penn State MATH 021
MATH 021 College Algebra I Spring 2008 Section 13 Meeting time/Classroom: MWF 8:00am 8:50am / 105 Osmond Instructor: Juan Daniel Reyes email: jdr234@psu.edu Office: 322 Whitmore Lab Phone: 8653201 Office hours: Monday 10:10am11:00am,
http://www.personal.psu.edu/users/j/d/jdr234/Math021/Syllabus13.pdf

• Penn State MATH 021
MATH 021 Spring 2008 Quiz 2 Type: Practice Name: Add or subtract the rational expressions as indicated. Express your answers in reduced form. Show all work clearly and in order. You have 15 minutes to complete this quiz. 1. 5 7t (2 points) 3 1 +
http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz2C.pdf

• Penn State MATH 021
MATH 021 Spring 2008 Quiz 7 Type : Practice Name: Show all work clearly and in order. You have 15 minutes to complete the four questions on this quiz. 1. (2 points) Find the graph of the equation x2 + y 2 = 16 2. (2 points) Find the vertex o
http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz7C.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz8CKey.pdf

• Penn State MATH 021
MATH 021 Spring 2008 Homework 2 Due date: Monday, March 31st in class. VI. Perform the indicated operations using complex numbers and simplify 6.1.26) 3 8 Solve the following problems. To get full credit you need to show all the steps involved in a
http://www.personal.psu.edu/users/j/d/jdr234/Math021/Homework2.pdf

• Penn State MATH 021
Math 21, Chapter 5 Sections 5.2-5.3 1 Simplifying roots and radicals Remember that the square root of a number b is a number a which multiplied by itself gives b: a= b if and only if a2 = b so: 3= 9 12 = 144 1 = 2 1 4 since since since 1 2 32 =
http://www.personal.psu.edu/users/j/d/jdr234/Math021/Lecture_notes5_2.pdf

• Penn State MATH 021
Penn State University - University Park MATH 21, College Algebra I Spring 2009 CATALOG DESCRIPTION: College Algebra I (3:3:0). Quadratic equations; equations in quadratic form; word problems, graphing; algebraic fractions; negative and rational expon
http://www.math.psu.edu/ug/Courses/Math021/Syllabi/21sylsp09.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz7CKey.pdf

• Penn State MATH 021
MATH 021 Spring 2008 Quiz 1 Type: Practice Name: Simplify the following rational expressions. Show all work clearly and in order. You have 15 minutes to complete this quiz. 1. (2 points) 54p2q 2 r3 78p5r2 = 2. (2 points) x3121x 11x = 3. (
http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz1C.pdf

• Penn State MATH 021
MATH 021 Spring 2008 Quiz 3 Type : Practice Name: Find the products and express the results in simplest radical form. Show all work clearly and in order. You have 15 minutes to complete this quiz. 1. (2 points) 2 2ab( 2a + + 18a - 2b) = 2. (2
http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz3C.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz1BKey.pdf

• Penn State MATH 021
MATH 021 Spring 2008 Quiz 5 Type : Practice Name: Show all work clearly and in order. You have 15 minutes to complete the four questions on this quiz. Simplify the following expressions: 1. (2 points) 4 1 4x 3 1 4 = 6y 2. (2 points) 27
http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz5C.pdf

• Penn State MATH 021
MATH 021 Spring 2008 Homework 3 Due date: Monday, April 28th in class. 10.1.34) 2x + 3y = 3 4x - 9y = -4 10.2.12) Solve the following problems. To get full credit you need to show all the steps involved in a clear and well organized way. 5x - y =
http://www.personal.psu.edu/users/j/d/jdr234/Math021/Homework3.pdf

• Penn State MATH 021
MATH 021 College Algebra I Spring 2008 Section 8 Meeting time/Classroom: MWF 9:05am 9:55am / 323E Health & Human Dev. Instructor: Juan Daniel Reyes email: jdr234@psu.edu Office: 322 Whitmore Lab Phone: 8653201 Office hours: Monday 10:1
http://www.personal.psu.edu/users/j/d/jdr234/Math021/Syllabus08.pdf

• Penn State MATH 021
MATH 021 Spring 2008 Quiz 4 Type : Practice Name: Show all work clearly and in order. You have 15 minutes to complete the three questions on this quiz. I. Solve the following equations: 1. (2 points) 1+ 3y - 1 = 4 2. (2 points) x+4- x-1=1
http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz4C.pdf

• Penn State MATH 021
J- = J R 5 + -!. L C D =RST -t one o f -the n v ~ E r . r s be 7 h e h the. o t h e r number ; s Let n. \$0-M
http://www.personal.psu.edu/users/j/d/jdr234/Math021/HWK1Solution.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz6CKey.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz6AKey.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz2CKey.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz4AKey.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/inequality2.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz8BKey.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz3BKey.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/extraProblems2.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz3CKey.pdf

• Penn State MATH 021

http://www.personal.psu.edu/users/j/d/jdr234/Math021/Quiz7AKey.pdf

• Penn State MATH 021
Math21(sec12), Lecture 24, Mar. 14, Monday. 1 1.1 Complex Number Introduction Complex numbers have two parts, a real part (being any real number that youre used to dealing with) and an imaginary part times the imaginary unit i. The standard format
http://www.math.psu.edu/zheng/math021/lec021_24.pdf

• Penn State MATH 021

http://ftp.math.psu.edu/UG/sampleexams/math021/Fall2003/Exam2.pdf

• Penn State MATH 021
Math 21 Spring 05 FINAL EXAM 1. (5 pts.) Simplify a) a + 2 b) a+3 a-2 a) 4 b) 3 c) 2 d) 1 e) 0 a2 + 5a + 6 . a2 - 5a - 14 5. (5 pts.) Solve the equation solutions. n 7 = and find the sum of the 6 n-1 a+3 c) a-7 d) a+3 a+2 e) a - 7 6. (5 pts.) Solve
http://www.math.psu.edu/ug/Courses/Math021/Exams/SampleExams/Sp05/21efsp05.pdf

• Penn State MATH 021
Math 21 (section 12), Lecture 3 1 Review of the last lecture Success in algebra depends on having a good understanding of the concepts as well as on being able to perform the various computations. Like polynomials, rational expressions appear freque
http://www.math.psu.edu/zheng/math021/lec021_03.pdf

• Penn State MATH 021
Math 21 (section 12), Lecture 1 1 Review Factoring Factoring plays a big part of simplifying rational expressions. So we first give a short review of factoring. When two integers are multiplied together, the answer is called a product. The integers
http://www.math.psu.edu/zheng/math021/lec021_01.pdf

• Penn State MATH 021
Math21(sec12), Lecture 16, Feb. 16, Wednesday. This is the last week they can file for conflict exams for their finals. The deadline is Sunday, February 20, 2005 No requests for a conflict exam will be accepted after February 20. Students file for th
http://www.math.psu.edu/zheng/math021/lec021_16.pdf

• Penn State MATH 021
First let me clarify the two geometry concept: The complement of an angle A is 90-A; the supplement of an angle A is 180-A. Next let me discuss some problems in your homework, since some of you have trouble with them. Section 4.2 (29) 3n2 + 15n 18 6
http://www.math.psu.edu/zheng/math021/lec021_10.pdf