BOROUGH OF MANHATTAN COMMUNITY COLLEGE DEPARTMENT OF MATHEMATICS MAT 012/051 Final Examination Review Form H. Multiple Choice Problems
|
|
- Kelly Horn
- 5 years ago
- Views:
Transcription
1 BOROUGH OF MANHATTAN COMMUNITY COLLEGE DEPARTMENT OF MATHEMATICS MAT 012/051 Final Examination Review Form H Multiple Choice Problems 1. If a = -1 and b = -2, find the value of!3a2 b + 2b 3 a. a) -2 b) 22 c) -22 d) If x = 2 and y = -2, find the value of x 2! 2y 2. a) 0 b) 2 c) 4 d) Subtract!4x 2! 4x! 5 from 2x 2! x + 3. a)!6x 2 + 5x!8 b) 6x 2 + 3x! 2 c) 6x 2! 5x +8 d) 6x 2 + 3x Solve the equation x 3 +1= x 6 for x. a) 0 b) 1 c) -3 d) Solve the equation 2(3x!1)! (4x! 5) = 4x! 7 for x. a) -5 b) 0 c) 5 d) Solve the inequality 7(y + 4) > 3(y!8) for y. a) y < 13 b) y < -13 c) y > 13 d) y > Solve the inequality 4(x + 5)! 4(2x +1) for x. a) x! 4 b) x! "4 c) x! 4 d) x! "4 8. Solve the equation w = 4x + 4y for y. a) y = w! x b) y = w! 4x c) y = w! 4x 4 d) y = w + 4x 4 9. What is the slope of the line given by the equation 6x! y = 5? 6 a) 6 b) -6 c) -1 d) 5 Updated: 11/12/2012 1
2 10. Find the equation of the line passing through the points (-3,0) and (1,-2), in slope-intercept form. a) y =! 1 2 x! 3 2 b) y =! 1 2 x c) y = 1 2 x! 3 2 d) y = 1 2 x Find the equation of the line passing through the points (0,1) and (-1,0), in slope-intercept form. a) y = x +1 b) y = x!1 c) y =!x +1 d) y =!x!1 12. Find the equation of the line passing through the points (0,2) and (3,-6), in slope-intercept form. a) y =!x + 2 b) y = 2x!1 c) y =! 8 3 x + 2 d) y =! 4 3 x Solve the system of equations for x and y. 3x! y = 4 x + 2y = 6 a) (-14, 20) b) (2, 2) c) (-2, -2) d) (4, -8) 14. Solve the system of equations for x and y. 4x + 3y =11 3x! 7y =!1 a) (-14, 20) b) (-2, -1) c) (2, 1) d) (4, -8) 15. Simplify the expression and write the answer with positive exponents. " 1 % 3 $ 2 x!1 y 2 ' # & a) 1 8 x3 y 6 b) 1 8 x2 y 5 c) y 6 8x 3 d) y 5 8x 2 Updated: 11/12/2012 2
3 16. Simplify the expression and write the answer with positive exponents. ( 3x!2 c 3 ) 3 a) 27c 9 b) 27c6 x 6 x 4 c) 27c 6 x d) 27c 9 x Simplify the expression and write the answer with positive exponents. x 3 y!4 w 3 x 4 y!5 w 3 a) xy b) 1 xy c) y x d) xyw 18. Find the product and simplify. (2x + 2)(3x 2! x!1) a) 6x 3! 2 b) 6x 3 + 6x 2! 4x! 2 c) 6x 3 + 6x 2! 4x! 2 d) 6x 3 + 4x 2! 4x! Find the product and simplify. (2x! 2) 2 a) 4x 2! 4 b) 4x c) 4x 2! 4x! 9 d) 4x 2!8x Find the product and simplify. (4x! 2)(x 2! 2x + 3) a) 4x 3 +10x 2 +8x! 6 b) 4x 3!10x 2 +16x! 6 c) 4x 3!10x 2! 6x! 6 d) 4x 3 +10x 2!16x! 6 Updated: 11/12/2012 3
4 21. Factor Completely. 5x x x a) 5x(x 2 + 5x + 6) b) x 2 + 5x + 6 c) (x + 3)(x + 2) d) 5x(x + 3)(x + 2) 22. What is the sum of the solutions to the equation x 2!8x +15 = 0? a) 8 b) - 2 c) 15 2 d) Reduce to lowest terms. x 2! 9 x 2 + 6x + 9 a) x + 3 x! 3 b) x! 3 x + 3 c) - 1 d) 1 6x 24. Simplify. 24b5! 36b 3 6b 3 a) 24b 5! 6 b) 4b 2! 36b 3 c) 4b 2! 6 d) 4b 2! 6b 25. Simplify. 20x5 + 30x 8! 40x 9 10x 7 a)! 2 x 2 + 3x + 4 x 2 b) 2x2 + 3x! 4x 2 c) 2 x!2 + 3x! 4x2 d) 2 + 3x! 4x2 2 x 26. Simplify. 3c 12c 5 a) 6c 3 3c b) 36c 3 c c) 12c 6 3 d) 3c Simplify. 6x 3 9x 7 a) 36x 10 b) 18x 6 x c) 54x 9 x d) 6x 5 9x Updated: 11/12/2012 4
5 28. Maria received $150 in simple annual interest at a rate of 5% on her CD. How much did she invest in the CD? a) $300 b) $30,000 c) $3000 d) $ To enter a museum, adult visitors pay $7 each and children pay $3 each. In one day the museum collected a total of $348 from 60 visitors. How many visitors were adults and how many were children? a) 42 adults, 18 children b) 27 adults, 33 children c) 28 adults, 32 children d) 30 adults, 30 children Short Answer Problems 1. Perform the indicated operations and simplify: a. (!4) 3 + 3"(!5) = b.! 2 $ # " 3% &! 6 $ # " 7 & = % c.!7+ 20 (!10)+ 5 = 2. Evaluate:!a 2 + a 3 b 2, when a = -3 and b = Translate each phrase into an expression in terms of x: a. 6 less than the number x b. 10 more than the product of 4 and x c. Five times the difference of twice x and 8 4. Find the sum of!y! 3x and 4 x + y. 5. Simplify the expression 9! 3( 5x! 4) Simplify: 6( 2x + y)! 3( 2x! 4y) 7. Solve for y : 4(2y +1)! (y! 3) = 2y Solve the inequality for, x and graph the solution on the real number line. 8 6( x 3) 4x Solve the inequality for!, and graph the solution on the number line: 3(x!8) " 6(x! 5) 10. Solve the inequality for!, and graph the solution on the number line.!!! 2 >!!! +!! 11. The length of a rectangle is 5 inches less than 3 times the width. If the perimeter is 54 inches, find the length and width. Updated: 11/12/2012 5
6 12. One number is four more than three times another. If their sum is increased by five, the result is twenty nine. Find the numbers. 13. If 4! 5 = 23, then 4! =? 14. The sum of three consecutive even integers is 108. Find the numbers. 15. The sum of two consecutive integers is 93. Find the numbers. 16. Michael has $2.35 in dimes and nickels. He has a total of 29 coins. How many of each does he have? 17. Shahin is twice as old as his sister. In 10 year s time the sum of their ages will be 44 years. How old is each of them now? 18. Using the formula,!" =!"#, solve for r. 19. Find the x- and y-intercepts for 4x! 2y =!8, and then use them to draw the graph. 20. Sketch the graph of the equation!8x + 6y = 24 on the rectangular coordinate system using the grid below. Updated: 11/12/2012 6
7 21. Sketch the graph of the equation y =! 2 x + 2 on the rectangular coordinate system using the grid below Sketch the graph of the equation y = 1 x! 4 on the rectangular coordinate system using the grid below Sketch the graph of the equation y = 3on the rectangular coordinate system using the grid below. Updated: 11/12/2012 7
8 24. Sketch the graph of the equation x =!2 on the rectangular coordinate system using the grid below. 25. Given the equation!3x + 4y =!12, determine the slope and y-intercept. 26. Find the slope of a line which is parallel to 2! + 4! = Find y if the line through ( 2, 4) and (6, y) has a slope of Find y if the line through (3, 6) and (6, y) has a slope of Find the equation of the line through ( 2, 1) with slope. Write the answer in slope-intercept form Find the slope of a line which is perpendicular to! = 2! Given f (x) = 2 + x 2, evaluate f (7). 32. Given g(x) = 1 + 4, evaluate and simplify g(3). x! Given h(x) = x, evaluate and simplify h(5). x Given t(x) = 2x 2 + 2x!10, evaluate t(!1). 35. Is the ordered pair (4,5) a solution to the system? 2! 3! = 7 4!! = Is the ordered pair ( 2,1) a solution to the system? 2! + 3! = 1 3!! = Solve the system of equation by any convenient method. 5x 4y = 7 6x + 8y = 2 Updated: 11/12/2012 8
9 38. Solve by elimination. 2x + 3y = 4 5x + 4y = Solve by substitution. 3x! 3y = 7 y =!1+ 2x 40. Simplify the expression and write the answer with positive exponents only. 41. What is the product of 8!!!! and 5!!!? ( 3y ) ( 2y ) Perform the indicated operations and simplify: 2x 2 y 3xy( x 1) 43. Express in scientific notation: a. 3,460,000 b Express in standard notation: a !10 "6 b Multiply or divide as indicated. Reduce all answers to lowest terms. a.!!!!!!!!!!!!!!!!! b.!!!!!!!"!!!!!!!! 46. Simplify the radicals. a b. 5 12! 2 75 c d. e. 5m 640m9!6y 50y3 47. If a right triangle has base equal to 5 feet and height equal to 3 feet, find the hypotenuse. Simplify your answer. 48. If a right triangle has base equal to 6 feet and hypotenuse equal to 11 feet, find the height. Simplify your answer. Updated: 11/12/2012 9
10 MAT 012/051 Practice Final Answer Key Multiple Choice Answers 1. b 2. d 3. d 4. d 5. c 6. d 7. c 8. c 9. a 10. a 11. a 12. c 13. b 14. c 15. c 16. a 17. c 18. d 19. d 20. b 21. d 22. a 23. b 24. c 25. d 26. a 27. b 28. c 29. a Short Answer Solutions 1. a. 79 b.!! c a.! 6 b. 4! + 10 c. 5 2! 8 4.! 5. 15! ! + 18! 7. y =! x! 7 9. x! x > L = 19 inches, W = 8 inches and x = , - 36, and and nickels and 18 dimes 17. Shahin is 16 years old and his Sister is 8 years old. 18. r = Pv nt (0,4) (0,4) (-2,0) (-3,0) Updated: 11/12/
11 (0,2) (0,3) (3,0) (-2,0) (0,-4) (2,-3) 25. m = 3 4,b = m =! y = y = y = 1 2 x m = f(7) = g(3) = 5 42.!x 2 y + 3xy 33. h(5) = t(-1) = No 36. Yes 37. x = -3, y = x =-1, y = x = 4 3, y = y p 3 q 7 Updated: 11/12/
12 43. a. 3.46!10 6 b. 5.68!10 "3 44. a b. 700, a. x x + 3 b. x! 5 2x 2 (x! 3) 46. a. 5 2 b. 0 c d. 40m 5 10m e.!30y 2 2y Updated: 11/12/
BOROUGH OF MANHATTAN COMMUNITY COLLEGE DEPARTMENT OF MATHEMATICS MAT 051 Midterm Examination Review
BOROUGH OF MANHATTAN COMMUNITY COLLEGE DEPARTMENT OF MATHEMATICS MAT 051 Midterm Examination Review Do ONLY 4 CHAPTERS. Your instructor will tell you which 4 chapters to complete. Everyone is required
More informationIntermediate Algebra Semester Summary Exercises. 1 Ah C. b = h
. Solve: 3x + 8 = 3 + 8x + 3x A. x = B. x = 4 C. x = 8 8 D. x =. Solve: w 3 w 5 6 8 A. w = 4 B. w = C. w = 4 D. w = 60 3. Solve: 3(x ) + 4 = 4(x + ) A. x = 7 B. x = 5 C. x = D. x = 4. The perimeter of
More informationAlgebra I Review **You may use a calculator throughout the review with the exception of Part A and Part B.
Algebra I Review **You may use a calculator throughout the review with the exception of Part A and Part B. Part A Find the value of each expression below No calculator! 1) ( 7) ) 7 3) 4 1 8 6 3 4 4) 459
More informationBasic Fraction and Integer Operations (No calculators please!)
P1 Summer Math Review Packet For Students entering Geometry The problems in this packet are designed to help you review topics from previous mathematics courses that are important to your success in Geometry.
More informationMy Math Plan Assessment #1 Study Guide
My Math Plan Assessment #1 Study Guide 1. Find the x-intercept and the y-intercept of the linear equation. 8x y = 4. Use factoring to solve the quadratic equation. x + 9x + 1 = 17. Find the difference.
More informationIn order to prepare for the final exam, you need to understand and be able to work problems involving the following topics:
MATH 080: Review for the Final Exam In order to prepare for the final exam, you need to understand and be able to work problems involving the following topics: I. Simplifying Expressions: Do you know how
More informationBRONX COMMUNITY COLLEGE of the City University of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE. MTH 05 Review Sheet
BRONX COMMUNITY COLLEGE of the Cit Universit of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE MTH 05 Review Sheet Go to http://www.cun.edu/testing for more information on the CUNY Elementar Algebra
More informationMath 0308 Final Exam Review(answers) Solve the given equations. 1. 3x 14 8x 1
Math 8 Final Eam Review(answers) Solve the given equations.. 8.. 9.. 9 9 8 8.. 8 8 all real numbers 8. 9. all real numbers no solution 8 8 9 9 9 Solve the following inequalities. Graph our solution on
More informationMAT 1033 Final Review for Intermediate Algebra (Revised April 2013)
1 This review corresponds to the Charles McKeague textbook. Answers will be posted separately. Section 2.1: Solve a Linear Equation in One Variable 1. Solve: " = " 2. Solve: "# = " 3. Solve: " " = " Section
More informationRemember, you may not use a calculator when you take the assessment test.
Elementary Algebra problems you can use for practice. Remember, you may not use a calculator when you take the assessment test. Use these problems to help you get up to speed. Perform the indicated operation.
More informationMATH 080 Final-Exam Review
MATH 080 Final-Exam Review Can you simplify an expression using the order of operations? 1) Simplify 32(11-8) - 18 3 2-3 2) Simplify 5-3 3-3 6 + 3 A) 5 9 B) 19 9 C) - 25 9 D) 25 9 Can you evaluate an algebraic
More information0-2. 2) Plot the points and connect them. X
1) Pam s Pie Pantry had 2 backorders for cherry pies. Pam can bake 3 pies every hour. Fill in the blanks. Hours 0-2 Pies Practice 6C 2) Plot the points and connect them. 3) Write an equation for the line.
More informationALGEBRA 1 FINAL EXAM TOPICS
ALGEBRA 1 FINAL EXAM TOPICS Chapter 2 2-1 Writing Equations 2-2 Solving One Step Equations 2-3 Solving Multi-Step Equations 2-4 Solving Equations with the Variable on Each Side 2-5 Solving Equations Involving
More information2014 Summer Review for Students Entering Algebra 2. TI-84 Plus Graphing Calculator is required for this course.
1. Solving Linear Equations 2. Solving Linear Systems of Equations 3. Multiplying Polynomials and Solving Quadratics 4. Writing the Equation of a Line 5. Laws of Exponents and Scientific Notation 6. Solving
More informationASU Mathematics Placement Test Sample Problems June, 2000
ASU Mathematics Placement Test Sample Problems June, 000. Evaluate (.5)(0.06). Evaluate (.06) (0.08). Evaluate ( ) 5. Evaluate [ 8 + ( 9) ] 5. Evaluate 7 + ( ) 6. Evaluate ( 8) 7. Evaluate 5 ( 8. Evaluate
More informationAnswer Key. Solve each equation x - 9 = (n + 2) = b - 6 = -3b + 48
Solve each equation. 1. -3x - 9 = -27 2. 25 + 2(n + 2) = 30 3. -9b - 6 = -3b + 48 x = 6 n = 1 / 2 b = -9 4. 5 - (m - 4) = 2m + 3(m - 1) 5. -24-10k = -8(k + 4) - 2k 6. f - (-19) = 11f + 23-20f m = 2 no
More informationWhich one of the following is the solution to the equation? 1) 4(x - 2) + 6 = 2x ) A) x = 5 B) x = -6 C) x = -5 D) x = 6
Review for Final Exam Math 124A (Flatley) Name Which one of the following is the solution to the equation? 1) 4(x - 2) + 6 = 2x - 14 1) A) x = 5 B) x = -6 C) x = -5 D) x = 6 Solve the linear equation.
More informationCP Algebra 2 Midterm Review Multiple Choice (40 questions)
CP Algebra 2 Midterm Review Multiple Choice (40 questions) Evaluate each expression if r = -1, n = 3, t = 12, and w = 1 2. 1. w[t + (t r)] 2. 9r 2 + (n 2 1)t Solve each equation. Check your solution. 3.
More informationFinal Exam Review for DMAT 0310
Final Exam Review for DMAT 010 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Factor the polynomial completely. What is one of the factors? 1) x
More informationMAT 135. In Class Assignments
MAT 15 In Class Assignments 1 Chapter 1 1. Simplify each expression: a) 5 b) (5 ) c) 4 d )0 6 4. a)factor 4,56 into the product of prime factors b) Reduce 4,56 5,148 to lowest terms.. Translate each statement
More information8, x 2. 4and. 4, y 1. y 2. x 1. Name. Part 1: (Skills) Each question is worth 2 points. SHOW ALL WORK IN THE SPACE PROVIDED. 1.
MATH 099 PRACTICE FINAL EXAMINATION Fall 2016 Name Part 1: (Skills) Each question is worth 2 points. SHOW ALL WORK IN THE SPACE PROVIDED. 1. Determine whether 4, 3 is a solution to the equation 3x 3y 21
More informationChapter 7 Quadratic Equations
Chapter 7 Quadratic Equations We have worked with trinomials of the form ax 2 + bx + c. Now we are going to work with equations of this form ax 2 + bx + c = 0 quadratic equations. When we write a quadratic
More informationReview for the Final Exam MAT 0024 College Prep Algebra Class
Review for the Final Eam Name MAT 00 College Prep Algebra Class Chapter 1 1) Simplify: 6 ( ) + ( ) 1 1 11 ) Simplify: 8 + ( ) ) Simplify: 7 + ( 1) 16 17 10 ) Simplify: () + 1 ) Simplify: + + ( ) ( ) 1
More informationCumulative Test 1. Evaluate the expression Answers [32 (17 12) 2 ] [(5 + 3)2 31]
Name Date Cumulative Test 1 Evaluate the expression. 1. 7 + 6 3. 4 5 18 3. 4[3 (17 1) ] 4. 3 [(5 + 3) 31] 5. 3(5m 4) when m = 6. 9x 4 when x = 3 Write an algebraic expression, an equation, or an inequality.
More informationSolve. Label any contradictions or identities. 1) -4x + 2(3x - 3) = 5-9x. 2) 7x - (3x - 1) = 2. 3) 2x 5 - x 3 = 2 4) 15. 5) -4.2q =
Spring 2011 Name Math 115 Elementary Algebra Review Wednesday, June 1, 2011 All problems must me done on 8.5" x 11" lined paper. Solve. Label any contradictions or identities. 1) -4x + 2(3x - 3) = 5-9x
More informationSolve for the variable by transforming equations:
Cantwell Sacred Heart of Mary High School Math Department Study Guide for the Algebra 1 (or higher) Placement Test Name: Date: School: Solve for the variable by transforming equations: 1. y + 3 = 9. 1
More information3 Inequalities Absolute Values Inequalities and Intervals... 18
Contents 1 Real Numbers, Exponents, and Radicals 1.1 Rationalizing the Denominator................................... 1. Factoring Polynomials........................................ 1. Algebraic and Fractional
More informationNorth Seattle Community College Math 084 Chapter 1 Review. Perform the operation. Write the product using exponents.
North Seattle Community College Math 084 Chapter 1 Review For the test, be sure to show all work! Turn off cell phones. Perform the operation. Perform the operation. Write the product using exponents.
More informationSpring 06/MAT 140/Worksheet 1 Name: Show all your work.
Spring 06/MAT 140/Worksheet 1 Name: Show all your work. 1. (4pts) Write two examples of each kind of number: natural integer rational irrational 2. (12pts) Simplify: ( a) 3 4 2 + 4 2 ) = 3 b) 3 20 7 15
More informationAlgebra I Semester 2 Practice Exam DRAFT
Algebra I Semester Practice Eam 1. What is the -coordinate of the point of intersection for the two lines below? 6 7 y y 640 8 13 4 13. What is the y-coordinate of the point of intersection for the two
More informationAnswers to Sample Exam Problems
Math Answers to Sample Exam Problems () Find the absolute value, reciprocal, opposite of a if a = 9; a = ; Absolute value: 9 = 9; = ; Reciprocal: 9 ; ; Opposite: 9; () Commutative law; Associative law;
More informationCP Algebra 2 Midterm Review Multiple Choice (40 questions)
CP Algebra 2 Midterm Review Multiple Choice (40 questions) Evaluate each expression if r = -1, n = 3, t = 12, and w = 1 2. 1. w[t + (t r)] 2. 9r 2 + (n 2 1)t Solve each equation. Check your solution. 3.
More informationSolving Multi-Step Equations
1. Clear parentheses using the distributive property. 2. Combine like terms within each side of the equal sign. Solving Multi-Step Equations 3. Add/subtract terms to both sides of the equation to get the
More informationVILLA VICTORIA ACADEMY (2017) PREPARATION AND STUDY GUIDE ENTRANCE TO HONORS PRECALCULUS PART 1 FROM HONORS ALGEBRA II. a) 2ab b) d a. h) 2x.
VILLA VICTORIA ACADEMY (07) PREPARATION AND STUDY GUIDE ENTRANCE TO HONORS PRECALCULUS PART FROM HONORS ALGEBRA II ) Simplify. 8 4 ) Evaluate the expression if a ; b ; c 6; d ) Translate each statement
More informationEvaluate and simplify.
Math 52 Midterm Practice Exam The following exercises are taken from the book s end-of-chapter Practice Tests. The exercise numbers here correspond to the numbers in those tests. The answers to these exercises
More informationVILLA VICTORIA ACADEMY (2016) PREPARATION AND STUDY GUIDE ENTRANCE TO HONORS ALGEBRA 2 FROM ALGEBRA I. h) 2x. 18x
VILLA VICTORIA ACADEMY (06) PREPARATION AND STUDY GUIDE ENTRANCE TO HONORS ALGEBRA FROM ALGEBRA I ) Simplify. 8 43 ) Evaluate the expression if a ; b 3; c 6; d 3) Translate each statement into symbols,
More informationGeometry - Summer 2016
Geometry - Summer 2016 Introduction PLEASE READ! The purpose of providing summer work is to keep your skills fresh and strengthen your base knowledge so we can build on that foundation in Geometry. All
More informationAlgebra 1. Math Review Packet. Equations, Inequalities, Linear Functions, Linear Systems, Exponents, Polynomials, Factoring, Quadratics, Radicals
Algebra 1 Math Review Packet Equations, Inequalities, Linear Functions, Linear Systems, Exponents, Polynomials, Factoring, Quadratics, Radicals 2017 Math in the Middle 1. Clear parentheses using the distributive
More informationLines and Systems Review
Lines and Systems Review SET 1 Question 1 Identify all points that are solutions to the system of equations represented by the graph: Question 2 Create a system of equations for each situation. Problem
More information[1] [2.3 b,c] [2] [2.3b] 3. Solve for x: 3x 4 2x. [3] [2.7 c] [4] [2.7 d] 5. Solve for h : [5] [2.4 b] 6. Solve for k: 3 x = 4k
1. Solve for x: 4( x 5) = (4 x) [1] [. b,c]. Solve for x: x 1.6 =.4 +. 8x [] [.b]. Solve for x: x 4 x 14 [] [.7 c] 4. Solve for x:.x. 4 [4] [.7 d] 5. Solve for h : 1 V = Ah [5] [.4 b] 6. Solve for k: x
More informationMath 46 Final Exam Review Packet
Math 46 Final Exam Review Packet Question 1. Perform the indicated operation. Simplify if possible. 7 x x 2 2x + 3 2 x Question 2. The sum of a number and its square is 72. Find the number. Question 3.
More informationNOTES. [Type the document subtitle] Math 0310
NOTES [Type the document subtitle] Math 010 Cartesian Coordinate System We use a rectangular coordinate system to help us map out relations. The coordinate grid has a horizontal axis and a vertical axis.
More informationQUESTIONS 1-46 REVIEW THE OBJECTIVES OF CHAPTER 2.
MAT 101 Course Review Questions Valid for Fall 2014, Spring 2015 and Summer 2015 MIDTERM EXAM FINAL EXAM Questions 1-86 are covered on the Midterm. There are 25 questions on the midterm, all multiple choice,
More information1. Graph the system of equations and tell the solution. 1. Solution
Algebra Reporting Strand 4: Systems of Equations & Inequalities Subunit 4a: Solving Systems of Equations Review Name: Period: Date: Read all the directions carefully, put your answers in the blanks provided,
More information4. Solve for x: 5. Use the FOIL pattern to multiply (4x 2)(x + 3). 6. Simplify using exponent rules: (6x 3 )(2x) 3
SUMMER REVIEW FOR STUDENTS COMPLETING ALGEBRA I WEEK 1 1. Write the slope-intercept form of an equation of a. Write a definition of slope. 7 line with a slope of, and a y-intercept of 3. 11 3. You want
More informationReview Math for Students Entering Geometry
Review Math for Students Entering Geometry Solving Equations Write answers in Simplified Radical Form. ( 5) ( ). 5 0. 5 5 7. 48. 5 4. ( )() 0 8. 9. 8 = 5 + 5. 0 0. 5 5 5 Simplifying Epressions Perform
More informationMath 10 - Unit 8 REVIEW WORKSHEET - Systems of Linear Equations
Class: Date: Math 10 - Unit 8 REVIEW WORKSHEET - Systems of Linear Equations Multiple Choice Identify the choice that best answers the question. 1. Without graphing, determine the equation whose graph
More informationI. ORDER OF OPERATIONS
ALGEBRA II HONORS REVIEW PACKET NAME This packet contains all of the material that you should have mastered in Algebra I. You are responsible for reviewing this material over the summer and expect an assessment
More information2. If the discriminant of a quadratic equation is zero, then there (A) are 2 imaginary roots (B) is 1 rational root
Academic Algebra II 1 st Semester Exam Mr. Pleacher Name I. Multiple Choice 1. Which is the solution of x 1 3x + 7? (A) x -4 (B) x 4 (C) x -4 (D) x 4. If the discriminant of a quadratic equation is zero,
More informationName Date College Prep Mid-Term Review
Name Date Chapter 4 College Prep Mid-Term Review Define the following terms, and provide an example: Domain: Range: Slope Intercept form: Point Slope Form: Standard Form of a linear equation: Function:
More information1.) Suppose the graph of f(x) looks like this (each tick mark denotes 1 unit). x y
College Algebra Summer 2014 Exam File Exam #1 1.) Suppose the graph of f(x) looks like this (each tick mark denotes 1 unit). Graph g(x) = -0.5 f(x + 1) - 3 2.) Consider the following table of values. x
More information[Type the document subtitle] Math 0310
[Typethe document subtitle] Math 010 [Typethe document subtitle] Cartesian Coordinate System, Domain and Range, Function Notation, Lines, Linear Inequalities Notes-- Cartesian Coordinate System Page
More information2 The scatter plot below represents the relationship between the number of peanuts a student eats and the student's bowling score.
1 The number of calories burned while jogging varies directly with the number of minutes spent jogging. If George burns 10 calories by jogging for 0 minutes, how many calories does he burn by jogging for
More informationFinal Exam C Name i D) 2. Solve the equation by factoring. 4) x2 = x + 72 A) {1, 72} B) {-8, 9} C) {-8, -9} D) {8, 9} 9 ± i
Final Exam C Name First, write the value(s) that make the denominator(s) zero. Then solve the equation. 7 ) x + + 3 x - = 6 (x + )(x - ) ) A) No restrictions; {} B) x -, ; C) x -; {} D) x -, ; {2} Add
More informationTest 4 also includes review problems from earlier sections so study test reviews 1, 2, and 3 also.
MATD 0370 ELEMENTARY ALGEBRA REVIEW FOR TEST 4 (1.1-10.1, not including 8.2) Test 4 also includes review problems from earlier sections so study test reviews 1, 2, and 3 also. 1. Factor completely: a 2
More informationApplications Using Factoring Polynomials
Applications Using Factoring Polynomials This section will discuss applications involving the area of a rectangle, consecutive integers, and right triangles. Recall the steps that will help to translate
More informationMinnesota State Colleges and Universities Intermediate Algebra Sample Questions
Minnesota State Colleges and Universities Intermediate Algebra Sample Questions 013 The College Board. College Board, ACCUPLACER, WritePlacer and the acorn logo are registered trademarks of the College
More informationMock Final Exam Name. Solve and check the linear equation. 1) (-8x + 8) + 1 = -7(x + 3) A) {- 30} B) {- 6} C) {30} D) {- 28}
Mock Final Exam Name Solve and check the linear equation. 1) (-8x + 8) + 1 = -7(x + 3) 1) A) {- 30} B) {- 6} C) {30} D) {- 28} First, write the value(s) that make the denominator(s) zero. Then solve the
More informationAdvanced Algebra II 1 st Semester Exam Review
dname Advanced Algebra II 1 st Semester Exam Review Chapter 1A: Number Sets & Solving Equations Name the sets of numbers to which each number belongs. 1. 34 2. 525 3. 0.875 4. Solve each equation. Check
More informationThe ACCUPLACER (Elementary Algebra) is a 12 question placement exam. Its purpose is to make sure you are put in the appropriate math course.
About the ACCUPLACER Test The ACCUPLACER (Elementary Algebra) is a 12 question placement exam. Its purpose is to make sure you are put in the appropriate math course. A student whose score is 67 or higher
More informationThe P/Q Mathematics Study Guide
The P/Q Mathematics Study Guide Copyright 007 by Lawrence Perez and Patrick Quigley All Rights Reserved Table of Contents Ch. Numerical Operations - Integers... - Fractions... - Proportion and Percent...
More informationFall 09/MAT 140/Worksheet 1 Name: Show all your work. 1. (6pts) Simplify and write the answer so all exponents are positive:
Fall 09/MAT 140/Worksheet 1 Name: Show all your work. 1. (6pts) Simplify and write the answer so all exponents are positive: a) (x 3 y 6 ) 3 x 4 y 5 = b) 4x 2 (3y) 2 (6x 3 y 4 ) 2 = 2. (2pts) Convert to
More informationAlgebra I Midterm Exam Review
Chapter 1: Expressions, Equations, and Functions Lesson 1.1 Variables and Expressions Write a verbal expression for each algebraic expression. 23f 5m 2 + 2c 3 4n 1 7 Write an algebraic expression for each
More informationIntermediate Algebra Study Guide
Chapter 1 Intermediate Algebra Study Guide 1. Simplify the following. (a) ( 6) + ( 4) ( 9) (b) ( 7) ( 6)( )( ) (c) 8 5 9 (d) 6x(xy x ) x (y 6x ) (e) 7x {6 [8 (x ) (6 x)]} (f) Evaluate x y for x =, y =.
More informationIn #1 and 2, use inverse operations to solve each equation. 2.
In #1 and 2, use inverse operations to solve each equation. 1. 3x + 12 + 5x = 7 2. 1 (4x + 10) = x 5 2 3. Alex and Alyssa both have savings accounts. Alex has $515 and saves $23 per month. Alyssa has $725
More information4.2 SOLVING A LINEAR INEQUALITY
Algebra - II UNIT 4 INEQUALITIES Structure 4.0 Introduction 4.1 Objectives 4. Solving a Linear Inequality 4.3 Inequalities and Absolute Value 4.4 Linear Inequalities in two Variables 4.5 Procedure to Graph
More informationA) y = -5x + 3 B) y = 5x 3 C) y = -5x 3 D) y = 5x + 3
For problems #1-4, use the following equation: 5.4 a.) b.) c.) 5.4 d.) none 1. What is the initial value?. What is the growth/decay factor?. What is the decay rate? 4. What is the growth rate? NAME Algebra
More informationMath 101, Basic Algebra. Solving Linear Equations and Inequalities
Math 101, Basic Algebra Author: Debra Griffin Name Chapter 2 Solving Linear Equations and Inequalities 2.1 Simplifying Algebraic Expressions 2 Terms, coefficients, like terms, combining like terms, simplifying
More informationMath 0310 Final Exam Review
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the linear equation and check the solution. 1) 13(x - 52) = 26 1) A) {26} B) {52} C) {50} D)
More informationChapter 7: Exponents
Chapter : Exponents Algebra Chapter Notes Name: Notes #: Sections.. Section.: Review Simplify; leave all answers in positive exponents:.) m -.) y -.) m 0.) -.) -.) - -.) (m ) 0.) 0 x y Evaluate if a =
More informationSample Math 22 Exam Questions No Calculators Allowed
No Calculators Allowed REVIEW 1. Write the expression as a power of x. (a) x x (b) x m+1 (x 2m+1 ) 2 (c) (x2 ) n x 5 x n 2. Simplify the expression. (a) (x1/2 y 3/2 ) 4 y 2 (b) (x 3 y) 2 y 4 (c) x 2 +
More informationAlgebra I H Semester 2 Practice Exam DRAFT
Algebra I H Semester Practice Eam 1. What is the -coordinate of the point of intersection for the two lines below? 6 7 y y 640 8 13 4 13. What is the y-coordinate of the point of intersection for the two
More informationMATH 60 Course Notebook Chapter #1
MATH 60 Course Notebook Chapter #1 Integers and Real Numbers Before we start the journey into Algebra, we need to understand more about the numbers and number concepts, which form the foundation of Algebra.
More informationCollege Algebra Joysheet 1 MAT 140, Fall 2015 D. Ivanšić. Name: Simplify and write the answer so all exponents are positive:
College Algebra Joysheet 1 MAT 140, Fall 2015 D. Ivanšić Name: Covers: R.1 R.4 Show all your work! Simplify and write the answer so all exponents are positive: 1. (5pts) (3x 4 y 2 ) 2 (5x 2 y 6 ) 3 = 2.
More informationPractice Problems for Borough of Manhattan Community College Math 56 Departmental Final Exam FORM A
Page of 5 NAME: Practice Problems for Borough of Manhattan Community College Math 56 Departmental Final Exam FORM A The actual final examination will have 0 questions. Please do not assume that the content
More informationReview Problems for the Final
Review Problems for the Final Math 0-08 008 These problems are provided to help you study The presence of a problem on this handout does not imply that there will be a similar problem on the test And the
More information2. A man has a pocket full of change, but cannot make change for a dollar. What is the greatest value of coins he could have?
1 Let a, b be the two solutions to the equation x 2 3x + 1 = 0 Find a 3 + b 3 (A) 12 (B) 14 (C) 16 (D) 18 (E) 24 (D) The sum of the roots of ax 2 + bx + c = 0 is b/a and the product is c/a Therefore a
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Math 1 Final Eam Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve. 1) - - 6 = - + 7 1) ) 6 + 7(- - ) = -8 - ) ) - t + t = 6 t + 1 ) Solve
More informationAccuplacer Elementary Algebra Review
Accuplacer Elementary Algebra Review Hennepin Technical College Placement Testing for Success Page 1 Overview The Elementary Algebra section of ACCUPLACER contains 1 multiple choice Algebra questions that
More informationFinal Exam A Name. 20 i C) Solve the equation by factoring. 4) x2 = x + 30 A) {-5, 6} B) {5, 6} C) {1, 30} D) {-5, -6} -9 ± i 3 14
Final Exam A Name First, write the value(s) that make the denominator(s) zero. Then solve the equation. 1 1) x + 3 + 5 x - 3 = 30 (x + 3)(x - 3) 1) A) x -3, 3; B) x -3, 3; {4} C) No restrictions; {3} D)
More informationChapter 6 review. 1. Which statement is true about the graphs of these equations?
Name: Date: 1. Which statement is true about the graphs of these equations? y = 6x + 4 y = 5x 2 A. The lines intersect, but are not perpendicular. B. The lines are parallel. 4. Members of a senior class
More informationFinal Exam Review Calculators Not Allowed
Math 35 Final Exam Review Calculators Not Allowed From the Chapter 2 and 3 Test: (Refer to the White Ch. 2/3 Test answer key.) Solve this literal equation for the variable requested. 4. y = mx + b (solve
More informationMath 030 Review for Final Exam Revised Fall 2010 RH/ DM 1
Math 00 Review for Final Eam Revised Fall 010 RH/ DM 1 1. Solve the equations: (-1) (7) (-) (-1) () 1 1 1 1 f. 1 g. h. 1 11 i. 9. Solve the following equations for the given variable: 1 Solve for. D ab
More informationAnswers of the MATH97 Practice Test Form A
Answers of the MATH97 Practice Test Form A A1) Answer B Section 1.2: concepts of solution of the equations. Pick the pair which satisfies the equation 4x+y=10. x= 1 and y=6 A2) Answer A Section 1.3: select
More informationRising 8th Grade Math. Algebra 1 Summer Review Packet
Rising 8th Grade Math Algebra 1 Summer Review Packet 1. Clear parentheses using the distributive property. 2. Combine like terms within each side of the equal sign. Solving Multi-Step Equations 3. Add/subtract
More informationAlgebra 2 Honors Summer Review
Algebra Honors Summer Review 07-08 Label each problem and do all work on separate paper. All steps in your work must be shown in order to receive credit. No Calculators Allowed. Topic : Fractions A. Perform
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. B) 6x + 4
Math1420 Review Comprehesive Final Assessment Test Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Add or subtract as indicated. x + 5 1) x2
More information6-A2 Problem Solving Using Inequalities Alg 1H
6-A Problem Solving Using Inequalities Alg H Solve by using a variable to write an inequality based on the given information. All work must be shown neatly on notebook paper.. The sum of two consecutive
More informationMAT 0022C/0028C Final Exam Review. BY: West Campus Math Center
MAT 0022C/0028C Final Exam Review BY: West Campus Math Center Factoring Topics #1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 Problem Solving (Word Problems) #19, 20, 21, 22, 23, 24, 25,
More informationIntermediate Algebra Math 097. Evaluates/Practice Tests. For solutions, refer to the back of the PAN.
Intermediate Algebra Math 097 Evaluates/Practice Tests For solutions, refer to the back of the PAN. Page of 8 Take this practice test to be sure that ou are prepared for the final quiz in Evaluate.. Solve
More informationPRACTICE FINAL , FALL What will NOT be on the final
PRACTICE FINAL - 1010-004, FALL 2013 If you are completing this practice final for bonus points, please use separate sheets of paper to do your work and circle your answers. Turn in all work you did to
More informationElementary Algebra Review for Exam 4
Elementary Algebra Review for Exam 4 List all numbers for which the rational expression is undefined. 9 ) a - 7 2) 3) x2-25 x2 + 2x + 32 x2-49 x2-3x - 40 Simplify, if possible. 4) 2m 6p2 4m9p 5) 6) x +
More informationFranklin Math Bowl 2010 Group Problem Solving Test Grade 6
Group Problem Solving Test Grade 6 1. Carrie lives 10 miles from work. She leaves in the morning before traffic is heavy and averages 30 miles per hour. When she goes home at the end of the day, traffic
More informationMath 40 Chapter 2 Lecture Notes. Professor Miguel Ornelas
Math 40 Chapter 2 Lecture Notes Professor Miguel Ornelas 1 M. Ornelas Math 40 Lecture Notes Section 2.1 Section 2.1 Addition and Multiplication Properties of Equality Addition Property of Equality If A
More informationAlgebra I EOC Review (Part 2)
1. Let x = total miles the car can travel Answer: x 22 = 18 or x 18 = 22 2. A = 1 2 ah 1 2 bh A = 1 h(a b) 2 2A = h(a b) 2A = h a b Note that when solving for a variable that appears more than once, consider
More informationPre-IB Geometry Summer Assignment
Pre-IB Geometry Summer Assignment This summer assignment is for all incoming freshman in the IB program, whom will begin their math course of study with Pre-IB Geometry. All work must be completed in pencil,
More informationMath 75 Mini-Mod Due Dates Spring 2016
Mini-Mod 1 Whole Numbers Due: 4/3 1.1 Whole Numbers 1.2 Rounding 1.3 Adding Whole Numbers; Estimation 1.4 Subtracting Whole Numbers 1.5 Basic Problem Solving 1.6 Multiplying Whole Numbers 1.7 Dividing
More information1) (-3) + (-6) = 2) (2) + (-5) = 3) (-7) + (-1) = 4) (-3) - (-6) = 5) (+2) - (+5) = 6) (-7) - (-4) = 7) (5)(-4) = 8) (-3)(-6) = 9) (-1)(2) =
Extra Practice for Lesson Add or subtract. ) (-3) + (-6) = 2) (2) + (-5) = 3) (-7) + (-) = 4) (-3) - (-6) = 5) (+2) - (+5) = 6) (-7) - (-4) = Multiply. 7) (5)(-4) = 8) (-3)(-6) = 9) (-)(2) = Division is
More informationMy Math Plan Assessment #2 Study Guide
My Math Plan Assessment #2 Study Guide 1. Find the x-intercept and the y-intercept of the linear equation. 8x y = 4 2. Use factoring to solve the quadratic equation. x 2 + 9x + 1 = 17. Multiply and simplify
More informationAlgebra I Study Topics
This Algebra I Study Guide contains clear, straight-forward problems that represent the topics covered in a complete Algebra I course. After completing the study guide without a calculator, correct it
More information