Math Intermediate Algebra


 Kristopher Dean
 3 years ago
 Views:
Transcription
1 Math Intermediate Algebra Final Eam Review Objective 1: Determine whether a relation is a function. Given a graphical, tabular, or algebraic representation for a function, evaluate the function and find its domain and range. 1. The graph of a function is shown below. Which one of the following choices represents the domain of the function? (Followup question: What is the range of the function?) (a) (,1] (b) (, ) (c) (,1) (d) [,] . Which of the following tables describes a function? (a) f() (b) f() (c) f() (d) None of the tables represents a function. 1
2 3. Given the function f() = ++, which of the following represents f( 1)? (a) (b) + (c) (d) 0 Objective : Given the graph of a line, an equation of a line, or two points on a line, find the slope and intercept of the line.. Find the slope and intercept of the line described b the equation 5 = 10. (a) slope is 5/, intercept is (0, 5) (b) slope is 5/, intercept is (0, 5) (c) slope is 5/, intercept is (0, 5) (d) slope is 5/, intercept is (0, 5) 5. A line passes through the points (,0) and (,). Find the slope and intercept of the line. (a) slope is, intercept is (0, ) (b) slope is, intercept is (,0) (c) slope is 1/, intercept is (0, ) (d) slope is 1/, intercept is (, 0). Find the slope and intercept of the line shown below. (a) slope is, intercept is (0, ) (b) slope is, intercept is (1,0) (c) slope is, intercept is (0, ) (d) slope is 1/, intercept is (0, )
3 Objective 3: Find equations of lines in slopeintercept or pointslope form. Find equations of horizontal or vertical lines. Determine whether lines are parallel, perpendicular, or neither. 7. A line passes through the points (, ) and (,1). Find an equation of the line in slopeintercept form. (a) = 3 (b) = (c) = 3 5 (d) = +1. Find an equation of the horizontal line passing through the point ( 3, ). (a) 3 = 0 (b) = (c) 3 = (d) = 3 9. Two linear equations are given below. Which one of the following is true of the graphs of the equations? = = 10 (a) The graphs are parallel lines. (b) The graphs are perpendicular lines. (c) The graphs intersect at the point (0, 1). (d) The graphs are parabolas. Objective : Determine whether a sstem of two linear equations in two variables has no solution, eactl one solution, or infinitel man solutions. Solve sstems of two linear equations in two variables b using substitution, elimination, or graphical methods. 10. Solve the following sstem of linear equations. What is the coordinate of our solution? = + (a) = (b) = 1 (c) There are infinitel man solutions. (d) There is no solution. 3 = 1 3
4 11. Solve the following sstem of linear equations. What is the coordinate of our solution? +3 = 1 (a) = (b) = (c) There are infinitel man solutions. (d) There is no solution. = + 1. Solve the following sstem of linear equations. What is the coordinate of our solution? + = (a) = 1 (b) = (c) There are infinitel man solutions. (d) There is no solution. 3+ = 7 Objective 5: Solve application problems that require setting up and solving a sstem of two linear equations in two variables. 13. A parking meter contains onl nickels and dimes worth $.05. If there are eightnine coins in all, what is the value of the nickels alone? (a) $57.00 (b) $3.5 (c) $5.55 (d) $.5 1. A chemist has two concentrations of hdrochloric acid in stock: a 50% solution and an 0% solution. How much of each should she mi to obtain 100 milliliters of a % solution? (a) 0 milliliters of 50% solution and 0 milliliters of 0% solution (b) 0 milliliters of 50% solution and 0 milliliters of 0% solution (c) milliliters of 50% solution and 3 milliliters of 0% solution (d) 3 milliliters of 50% solution and milliliters of 0% solution
5 Objective : Find unions and intersections of intervals. Sketch the graph of an interval. Convert between interval notation and inequalit notation. 15. Find the union and the intersection of the intervals (,] and ( 3, ). (a) union: ( 3, ), intersection: (, ) (b) union: (, ), intersection: ( 3, ] (c) union: (, 3), intersection: [, ) (d) union: (, ), intersection: ( 3, ) 1. Which one of the following intervals is described b the inequalit < 17? (a) (,17] (b) (, ] (17, ) (c) [,17) (d) (, ] (17, ) 17. Sketch the graph of the interval described b the inequalit 5 < 1. (a) 5 1 (b) 5 1 (c) 5 1 (d) 5 1 Objective 7: Solve compound linear inequalities in one variable. Solve application problems that require setting up and solving linear inequalities in one variable. 1. Solve the following compound inequalit. Write our solution in interval notation. (a) (,1] (b) ( 1,] (c) [ 1,) (d) ( 11,1] 11 < 5 1 5
6 19. Solve the following compound inequalit. Write our solution in interval notation. (a) (, 1) [1, ) (b) ( 1,1] (c) (,] (d) (, ) [, ) +1 < 3 or Tess has $30 and she wants to go to the fair. It costs $10 for admission and $1.50 per ride. How man rides can she afford? (a) 11 rides (b) 0 rides (c) 13 rides (d) 1 rides Objective : Solve linear absolutevalue equations. 1. Solve for p: p = (a) p = 1 (b) p = 5 or p = 1 (c) p = 5 or p = 1 (d) p = 5 or p = 1. Solve for z: 3z +5 3 = (a) z = 0 3 or z = 1 3 (b) z = 39 3 or z = 39 3 (c) z = or z = 5 (d) z = 59 3 or z = 9 3
7 3. Solve for m: 3 m+ +7 = 5 (a) There is no solution. (b) All real numbers are solutions. (c) m = or m = 0/3 (d) m = 0/3 Objective 9: Solve linear absolutevalue inequalities. Graph solutions on the number line, write solutions as inequalities, write solutions in interval notation, and write solutions in setbuilder notation.. Solve the following inequalit: (a) > /5 (b) < or > (c) There is no solution. (d) All real numbers are solutions. 5. Solve the following inequalit. Graph our solution on a number line > (a) 10 (b) (c) 1 (d) 1. Solve the following inequalit. Write our solution in interval notation. (a) (,/3) (b) (, ) (/3, ) (c) There is no solution. (d) All real numbers are solutions. 3+ > 10 7
8 Objective 10: Solve inequalities and sstems of inequalities in two variables. Sketch the graphs of the solution sets. 7. Which one of the graphs shown below illustrates the solution set of the following sstem of inequalities? + < +3 (a) (b) (c) (d)
9 . Which one of the graphs shown below illustrates the solution set of the following sstem of inequalities? 1 < (a) (b) (c) (d)
10 Objective 11: Convert epressions involving rational eponents to radical epressions and vice versa. 9. Rewrite with rational eponents: ( 5 ) 15 (a) ( ) 3/5 (b) ( 5 ) 1/3 (c) ( ) 5 (d) ( ) Rewrite in radical form: (9 3 ) 7/ 7 (a) 9 (b) 9 3 (c) ( 9 3 ) 7 (d) ( ) Objective 1: Simplif radical epressions where the radicand is a monomial. 31. Assuming and represent positive numbers, simplif the following epression. (a) 3 (b) 1 1 (c) (d) 3 3. Simplif: 3 5a b c (a) 5a b c 3 a c (b) a b c 3 5a c (c) a b c 3 5a c (d) 5a b c 3 a c 10
11 Objective 13: Add, subtract, and multipl radical epressions. Simplif the results. [The epressions ma consist of sums or differences of radicals. Onl monomial radicands are considered.] 33. Epand and simplif the following epression. (a) (b) 1 (c) (d) 1 (+ )( 3) 3. Epand and simplif the following epression. (a) +9 (b) +3 (c) + (d) + +9 ( +3) 35. Simplif and combine like radicals (a) 3+ 3 (b) + 3 (c) 3 3 (d) Simplif and combine like radicals (a) (b) (c) 3 3 (d)
12 Objective 1: Divide radical epressions and rationalize denominators. [Onl monomial radicands are considered.] 37. Rationalize the denominator and simplif: n 1n (a) 1 9 (b) (c) n 3 n 3 (d) 3n n 3. Rationalize the denominator and simplif: (a) + (b) + (c) 1+ 1 (d) + Objective 15: Solve radical equations where the radicand is a linear epression. 39. Solve for : 3+ = (a) = 0 (b) = /3 (c) = /3 (d) There is no real solution. 0. Solve for : 3 = 10 (a) = /3 (b) = /3 (c) = 1/3 (d) There is no real solution. 1
13 Objective 1: Simplif comple numbers and write in standard form a + bi. [Students must be prepared to add, subtract, multipl, and divide comple numbers, as well as write square roots of negative numbers in comple form.] 1. Epand and simplif. Write our result in standard form. (a) 7i +i (b) 1i +i (c) 1+i (d) 7+i (+i)(3i 1). Epand and simplif. Write our result as a comple number in standard form. 9( 9+1) (a) 9+3i (b) 9+3i (c) 9+ 9 (d) Simplif and write in standard form: (a) 3/ (b) i (c) 5i (d) i +5i+ i + 1+i i Objective 17: Solve all tpes of quadratic equations, including those with comple solutions. Solve rational equations that reduce to quadratic equations.. Solve for : 3 = (a) = 1+i or = 1 i (b) = 1+i or = 1 i (c) = +i or = i (d) = +i or = i 13
14 5. Solve for : +5 3 = 0 (a) = or = 1/ (b) = 3 or = (c) = 1 or = 1/ (d) = 3 or = 1/. Solve for, and then find the sum of the two solutions. (a) (b) 3 (c) + 3 (d) 0 = Objective 1: Solve application problems that require setting up and solving quadratic equations. [Students should be prepared to use simple geometric formulas such as those giving the areas of rectangles and triangles.] 7. The product of two consecutive numbers is 5. If is the smaller of the two numbers, then which quadratic equation represents the problem situation? (a) +1 = 5 (b) (+1) = 5 (c) +(+1) = 5 (d) +( 1) = 5. The length of a room is ft less than twice its width. The area of the room is 0ft. Find the length of the room. (a) The length is ft. (b) The length is 10ft. (c) The length is ft. (d) The length is 15ft. 9. A garden is twice as long as it is wide. Its perimeter is ft. Find the width of the garden. (a) The width is ft. (b) The width is 1ft. (c) The width is ft. (d) The width is 11ft. 1
15 Objective 19: Graph quadratic functions. Find vertices and  and intercepts of parabolas. 50. The function f is written below in two different, but equivalent, forms: f() = ( ) +3 f() = +11 Using either one of the forms for f, sketch the graph of f. (a) (b) (c) (d) Which of the following is an equation for a parabola that opens up and has verte (, 5)? (Each equation is written in two different, but equivalent, forms.) (a) = ( ) +5 or = +1 (b) = (+) +5 or = ++1 (c) = (+) 5 or = 1 (d) = ( ) 5 or =
16 5. Which quadratic function shown below has the given graph? (Each function is written in two different, but equivalent, forms.) (a) f() = ( 3) + or f() = +1 1 (b) f() = (+3) + or f() = 7 (c) f() = ( 3) or f() = +7 (d) None of the above Objective 0: Solve application problems involving the Pthagorean theorem. 53. The triangle shown below has the given dimensions, some of which depend on the unknown quantit. Use the Pthagorean theorem to set up and solve an equation for. 17 (a) =.5155 (b) = 1 (c) = 7 (d) = The length of one leg of a right triangle is two inches more than twice the length of the other leg. Find the perimeter of the triangle if the hpotenuse measures 13 inches. (a) 33in (b) 3in (c) 31in (d) 30in 1
17 Objective 1: Solve application problems involving direct and inverse variation. 55. When a car travels at a constant speed, the distance it travels varies directl as the time of travel. If a car travels 7 miles in hours, then how man miles does it travel in 7 hours? (a) 09mi (b) 30.5mi (c) 07.3mi (d).mi 5. The quantities and var inversel so that = 10 when =. Find when = 0. (a) = 50 (b) = 100 (c) = 5 (d) = Objective : Use substitution to solve polnomial equations that reduce to quadratic equations. 57. Solve for, and then find the sum of the two solutions. (a) (b) 1 (c) (d) 3/1 (+1) 1(+1)+15 = 0 5. In order to solve for, which is the most appropriate substitution? (a) let u = (b) let u = 3 (c) let u = 3 (d) let u = = 17
18 Free Response Problems: On our final eam ou must show all work to receive full credit for the free response problems. 59. A medieval alchemist s love potion calls for a number of ees of newt and toes of frog, the total being 1, but with twice as man newt ees as frog toes. How man of each are required? Set up a sstem of linear equations that corresponds to the problem situation and use an method to solve the sstem. 0. Graph the parabola given b the equation = ++3. Find the coordinates of the verte and the intercepts. 1
19 1. Simplif: Solve and write our solution in interval notation. <
20 Answer Ke 1. b, Followup: Range is (,1] 1. b 1. c. a. d. a 3. c 3. a 3. b. a. d. b 5. a 5. a 5. d. c. b. a 7. c 7. a 7. b. b. b. b 9. b 9. d 9. d 10. d 30. c 50. d 11. c 31. a 51. b 1. b 3. c 5. a 13. d 33. c 53. b 1. a 3. d 5. d 15. b 35. b 55. b 1. c 3. a 5. d 17. a 37. b 57. b 1. a 3. b 5. d 19. d 39. d 0. c 0. a For problems 59, see our instructor for help and evaluation of our work ees of newt and 7 toes of frog 0. verte: (, 1), intercepts: ( 3, 0), ( 1, 0) [ ), 1 Prairie State College, Department of Mathematics April 1,
BRONX 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 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 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 informationAlgebra 2 Semester Exam Review
Algebra Semester Eam Review 7 Graph the numbers,,,, and 0 on a number line Identif the propert shown rs rs r when r and s Evaluate What is the value of k k when k? Simplif the epression 7 7 Solve the equation
More informationLearning Goals. College of Charleston Department of Mathematics Math 101: College Algebra Final Exam Review Problems 1
College of Charleston Department of Mathematics Math 0: College Algebra Final Eam Review Problems Learning Goals (AL) Arithmetic of Real and Comple Numbers: I can classif numbers as natural, integer,
More informationMATH 0312 FINAL EXAM REVIEW ITEMS
MATH 012 FINAL EXAM REVIEW ITEMS Name The items on this review are representative of the items that ou might see on our course final eam. No formul sheets are allowed and calculators are not allowed on
More informationEam Name algebra final eam review147 aam032020181t4highschool www.alvarezmathhelp.com MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation.
More information(2.5) 1. Solve the following compound inequality and graph the solution set.
Intermediate Algebra Practice Final Math 0 (7 th ed.) (Ch. ) (.5). Solve the following compound inequalit and graph the solution set. 0 and and > or or (.7). Solve the following absolute value inequalities.
More informationMath 100 Final Exam Review
Math 0 Final Eam Review Name The problems included in this review involve the important concepts covered this semester. Work in groups of 4. If our group gets stuck on a problem, let our instructor know.
More informationreview math0410 (1174) and math 0320 ( ) aafinm mg
Eam Name review math04 (1174) and math 0320 (17243) 03201700aafinm0424300 mg MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplif. 1) 7 23 A)
More informationName Period Date. Practice FINAL EXAM Intro to Calculus (50 points) Show all work on separate sheet of paper for full credit!
Name Period Date Practice FINAL EXAM Intro to Calculus (0 points) Show all work on separate sheet of paper for full credit! ) Evaluate the algebraic epression for the given value or values of the variable(s).
More informationC) x m A) 260 sq. m B) 26 sq. m C) 40 sq. m D) 364 sq. m. 7) x x  (6x + 24) = 4 A) 0 B) all real numbers C) 4 D) no solution
Sample Departmental Final  Math 46 Perform the indicated operation. Simplif if possible. 1) 7   22 + 3 2  A) +  2 B)  + 42 C) + 42 D)  +  2 Solve the problem. 2) The sum of a number and its
More informationmath FALL developmental mathematics sullivan 1e
TSIpractice eam review 1 131 180 plus 34 TSI questions for elementar and intermediate algebra m0300004301 aaa Name www.alvarezmathhelp.com math0300004301 FALL 01 100 interactmath developmental mathematics
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 informationAlgebra II Notes Unit Five: Quadratic Functions. Syllabus Objectives: 5.1 The student will graph quadratic functions with and without technology.
Sllabus Objectives:.1 The student will graph quadratic functions with and without technolog. Quadratic Function: a function that can be written in the form are real numbers Parabola: the Ushaped graph
More information[B] 2. Which of these numbers is a solution for 12 x 7? [A] 5 [B] 1 [C] 2 [D] 3
. Which graph shows the solution of + 7? 9 6 0 6 9 9 6 0 6 9 9 6 0 6 9 9 6 0 6 9. Which of these numbers is a solution for 7? 5. Which graph shows the solution to +
More informationMATH 115: Final Exam Review. Can you find the distance between two points and the midpoint of a line segment? (1.1)
MATH : Final Eam Review Can ou find the distance between two points and the midpoint of a line segment? (.) () Consider the points A (,) and ( 6, ) B. (a) Find the distance between A and B. (b) Find the
More informationFINAL EXAM REVIEW ITEMS Math 0312: Intermediate Algebra Name
FINAL EXAM REVIEW ITEMS Math 0312: Intermediate Algebra Name 1) Find the SUM of the solutions of the equation. 82 + 0 = 16 Use the quadratic formula to solve the equation. (All solutions are real numbers.)
More informationDiagnostic Tests Study Guide
California State Universit, Sacramento Department of Mathematics and Statistics Diagnostic Tests Stud Guide Descriptions Stud Guides Sample Tests & Answers Table of Contents: Introduction Elementar Algebra
More informationMATH College Algebra Review for Test 2
MATH 34  College Algebra Review for Test 2 Sections 3. and 3.2. For f (x) = x 2 + 4x + 5, give (a) the xintercept(s), (b) the intercept, (c) both coordinates of the vertex, and (d) the equation of the
More information9 (0, 3) and solve equations to earn full credit.
Math 0 Intermediate Algebra II Final Eam Review Page of Instructions: (6, ) Use our own paper for the review questions. For the final eam, show all work on the eam. (6, ) This is an algebra class do not
More informationReview for Intermediate Algebra (MATD 0390) Final Exam Oct 2009
Review for Intermediate Algebra (MATD 090) Final Eam Oct 009 Students are epected to know all relevant formulas, including: All special factoring formulas Equation of a circle All formulas for linear equations
More informationMath 100 Final Exam Review
Math 0 Final Eam Review Name The problems included in this review involve the important concepts covered this semester. Work in groups of 4. If our group gets stuck on a problem, let our instructor know.
More informationMATH College Algebra Review for Test 2
MATH 4  College Algebra Review for Test Sections. and.. For f (x) = x + 4x + 5, give (a) the xintercept(s), (b) the intercept, (c) both coordinates of the vertex, and (d) the equation of the axis of
More informationLos Angeles Mission College
Los Angeles Mission College Math : Elementar Algebra Common Final Practice Set This practice set is a compilation of 0 questions that are similar in content to those on the common final. Since the content
More information[ ] 4. Math 70 Intermediate Algebra II Final Exam Review Page 1 of 19. Instructions:
Math Intermediate Algebra II Final Eam Review Page of 9 Instructions: Use our own paper for the review questions. For the final eam, show all work on the eam. This is an algebra class do not guess! Write
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Final Eam Review MAC 1 Spring 0 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve and check the linear equation. 1) ( + )  = (  7) {
More informationmath0320 FALL interactmath sections developmental mathematics sullivan 1e
Eam final eam review 180 plus 234 TSI questions for intermediate algebra m032000 013014 NEW Name www.alvarezmathhelp.com math0320 FALL 201 1400 interactmath sections developmental mathematics sullivan
More informationMath 115 Spring Break Homework Package Name. . List all
Math Spring Break Homework Package Name Show all work neatl and sstematicall for full credit. Total points: 00 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the
More informationGlossary. Also available at BigIdeasMath.com: multilanguage glossary vocabulary flash cards. An equation that contains an absolute value expression
Glossar This student friendl glossar is designed to be a reference for ke vocabular, properties, and mathematical terms. Several of the entries include a short eample to aid our understanding of important
More informationUse the slopeintercept form to graph the equation. 8) 6x + y = 0
03 Review Solve the inequalit. Graph the solution set and write it in interval notation. 1) 2(49) <  + 2 Use the slopeintercept form to graph the equation. 8) 6 + = 0 Objective: (2.8) Solve Linear
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Final Eam Review MAC 1 Fall 011 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve and check the linear equation. 1) ( + )  = (  7) A)
More informationreview for math TSI 182 practice aafm m
Eam TSI 182 Name review for math TSI 182 practice 01704041700aafm042430m www.alvarezmathhelp.com MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplif.
More informationMath 0210 Common Final Review Questions (2 5 i)(2 5 i )
Math 0 Common Final Review Questions In problems 1 6, perform the indicated operations and simplif if necessar. 1. ( 8)(4) ( )(9) 4 7 4 6( ). 18 6 8. ( i) ( 1 4 i ) 4. (8 i ). ( 9 i)( 7 i) 6. ( i)( i )
More informationALGEBRA I. * The crossedout portion of this standard is not assessed on the CAHSEE, but is still included in gradelevel standards.
Mathematics Released Test Questions LGER I The following ten alifornia mathematics academic content standards from the strand are assessed on the HSEE b test questions and are represented in this booklet
More information1. Simplify each expression and write all answers without negative exponents. for variable L.
MATH 0: PRACTICE FINAL Spring, 007 Chapter # :. Simplif each epression and write all answers without negative eponents. ( ab ) Ans. b 9 7a 6 Ans.. Solve each equation. 5( ) = 5 5 Ans. man solutions + 7
More informationChapter 8 Vocabulary Check
28 CHAPTER 8 Quadratic Equations and Functions d. What is the level of methane emissions for that ear? (Use our rounded answer from part (c).) (Round this answer to 2 decimals places.) Use a graphing calculator
More informationHCCSE MATH DEPT. 1 Revised Fall 2008
FINAL EXAM REVIEW ITEMS Math : College Algebra Find the intercepts and an intercepts. ) f() = + 70 ) = Name ) Select the equation that describes the graph. Solve the equation and epress the solution
More informationreview for math TSI 55 practice aafm m
Eam TSI Name review for math TSI practice 01704041700aafm042430m www.alvarezmathhelp.com MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the
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 ycoordinate of the point of intersection for the two
More informationCalifornia State University, Northridge
California State Universit, Northridge MATH 09 HYBRID WORKBOOKS Spring 00 Chapter Equations, Inequalities and Applications. The Addition Propert of Equalit Learning Objectives:. Use the Addition Propert
More informationMATH 60 Review Problems for Final Exam
MATH 60 Review Problems for Final Eam Scientific Calculators Onl  Graphing Calculators Not Allowed NO CLASS NOTES PERMITTED Evaluate the epression for the given values. m 1) m + 3 for m = 3 2) m 2  n2
More informationMath 50  Elementary Algebra Final Exam, Fall 2010
Math  Elementar Algebra Final Eam, Fall Name: Date: Score: / Show the necessar work on the test cop. For an of the graphs use a straightedge to receive full credit. Place our answers in the blanks provided
More informationAdvanced Algebra Scope and Sequence First Semester. Second Semester
Last update: April 03 Advanced Algebra Scope and Sequence 034 First Semester Unit Name Unit : Review of Basic Concepts and Polynomials Unit : Rational and Radical Epressions Sections in Book 0308 SLOs
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Math 03 CFair College Departmental Final Eamination Review SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Graph the linear equation b the method of
More informationMATH 103 Sample Final Exam Review
MATH 0 Sample Final Eam Review This review is a collection of sample questions used b instructors of this course at Missouri State Universit. It contains a sampling of problems representing the material
More informationMAT 1050 GROUP FINAL EXAM HOMEWORK
MAT 00 GROUP FINAL EXAM HOMEWORK SHOW ALL WORK DO NOT USE A CALCULATOR The problems come from the following final eams: W0, F, F0, W, W, F, W, f Adding/Subtracting Algebraic Epressions Simplif b adding
More informationREVIEW PACKET FOR END OF COURSE EXAM
Math H REVIEW PACKET FOR END OF COURSE EXAM DO NOT WRITE ON PACKET! Do on binder paper, show support work. On this packet leave all fractional answers in improper fractional form (ecept where appropriate
More informationIdentify the domain and the range of the relation from the graph. 8)
INTERMEDIATE ALGEBRA REVIEW FOR TEST Use the given conditions to write an equation for the line. 1) a) Passing through (, ) and parallel to =  +. b) Passing through (, 7) and parallel to  3 = 10 c)
More informationa 2 x y 1 y SOL AII.1a
SOL AII.a The student, given rational, radical, or polnomial epressions, will a) add, subtract, multipl, divide, and simplif rational algebraic epressions; Hints and Notes Rules for fractions: ) Alwas
More informationPreCalculus. Ocean Township High School Mathematics Department
PreCalculus Summer Assignment Name Period Date Ocean Township High School Mathematics Department These are important topics from previous courses that ou must be comfortable doing before ou can be successful
More informationLecture Guide. Math 90  Intermediate Algebra. Stephen Toner. Intermediate Algebra, 2nd edition. Miller, O'Neill, & Hyde. Victor Valley College
Lecture Guide Math 90  Intermediate Algebra to accompan Intermediate Algebra, 2nd edition Miller, O'Neill, & Hde Prepared b Stephen Toner Victor Valle College Last updated: 11/24/10 0 1.1 Sets of Numbers
More informationSelf assessment 1010 (Intermediate Algebra)
Self assessment (Intermediate Algebra) If ou can work these problems using a scientific calculator, ou should have sufficient knowledge to demonstrate master of Intermediate Algebra and to succeed in
More informationMATH 110: FINAL EXAM REVIEW
MATH 0: FINAL EXAM REVIEW Can you solve linear equations algebraically and check your answer on a graphing calculator? (.) () y y= y + = 7 + 8 ( ) ( ) ( ) ( ) y+ 7 7 y = 9 (d) ( ) ( ) 6 = + + Can you set
More informationALGEBRA 1 CP FINAL EXAM REVIEW
ALGEBRA CP FINAL EXAM REVIEW Alg CP Sem Eam Review 0 () Page of 8 Chapter 8: Eponents. Write in rational eponent notation. 7. Write in radical notation. Simplif the epression.. 00.. 6 6. 7 7. 6 6 8. 8
More information118 Intermediate Algebra Fall Intermediate Algebra FNMT Time: 6:309:35 pm, Thursday. Room 228
118 Intermediate Algebra Fall 2018 Intermediate Algebra  40428  FNMT 118122 Time: 6:309:3 pm, Thursda Room 228 SYLLABUS Catalog description. Real numbers, polnomials, rational epressions, algebraic
More informationMath 154A Elementary Algebra Fall 2014 Final Exam Study Guide
Math A Elementar Algebra Fall 0 Final Eam Stud Guide The eam is on Tuesda, December 6 th from 6:00pm 8:0pm. You are allowed a scientific calculator and a " b 6" inde card for notes. On our inde card be
More informationMath 0240 Final Exam Review Questions 11 ( 9) 6(10 4)
Math 040 Final Eam Review Questions 11 ( 9) 6(10 4) 1. Simplif: 4 8 3 + 8 ( 7). Simplif: 34 3. Simplif ( 5 7) 3( ) 8 6 4. Simplif: (4 3 ) 9 5. Simplif: 6. Evaluate 4 7 3 3 4 5 when and 3 Write each of
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 ycoordinate of the point of intersection for the two
More informationMath 103 Intermediate Algebra Final Exam Review Practice Problems
Math 10 Intermediate Algebra Final Eam Review Practice Problems The final eam covers Chapter, Chapter, Sections 4.1 4., Chapter 5, Sections 6.16.4, 6.66.7, Chapter 7, Chapter 8, and Chapter 9. The list
More informationLast modified Spring 2016
Math 00 Final Review Questions In problems 6, perform the indicated operations and simplif if necessar.. 8 6 8. 7 6. ( i) ( 4 i) 4. (8 i). ( 9 i)( 7 i) 6. ( i)( i) In problems 7, solve the following applications.
More informationFind the distance between the pair of points. 2) (7, 7) and (3, 5) A) 12 3 units B) 2 5 units C) 6 units D) 12 units B) 8 C) 63 2
Sample Departmental Final  Math 9 Write the first five terms of the sequence whose general term is given. 1) a n = n 2  n 0, 2,, 12, 20 B) 2,, 12, 20, 30 C) 0, 3, 8, 1, 2 D) 1,, 9, 1, 2 Find the distance
More informationClasswork #40: Final Review: Solving Equations, Word Problems, Linear Equations, Systems of Linear Equations
Classwork #0: Final Review: Solving Equations, Word Problems, Linear Equations, Sstems of Linear Equations Solving Equations: Isolate the variable! Things to watch for: when ou have parentheses the inequalit
More informationa 2 x y 1 x 1 y SOL AII.1a
SOL AII.a The student, given rational, radical, or polnomial epressions, will a) add, subtract, multipl, divide, and simplif rational algebraic epressions; Hints and Notes Rules for fractions: ) Alwas
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 informationAlgebra 2 Honors Summer Packet 2018
Algebra Honors Summer Packet 018 Solving Linear Equations with Fractional Coefficients For these problems, ou should be able to: A) determine the LCD when given two or more fractions B) solve a linear
More informationAlgebra 2 CPA Summer Assignment 2018
Algebra CPA Summer Assignment 018 This assignment is designed for ou to practice topics learned in Algebra 1 that will be relevant in the Algebra CPA curriculum. This review is especiall important as ou
More informationAlgebra 1 Skills Needed for Success in Math
Algebra 1 Skills Needed for Success in Math A. Simplifing Polnomial Epressions Objectives: The student will be able to: Appl the appropriate arithmetic operations and algebraic properties needed to simplif
More informationName Please print your name as it appears on the class roster.
Berkele Cit College Practice Problems Math 1 Precalculus  Final Eam Preparation Name Please print our name as it appears on the class roster. SHORT ANSWER. Write the word or phrase that best completes
More informationIntermediate Algebra / MAT 135 Spring 2017 Master ( Master Templates) $6.70 $9.90 $
Midterm Review #1 Intermediate Algebra / MAT 135 Spring 2017 Master ( Master Templates) Student Name/ID: 1. Solve for. 6 + k = C 2. Solve for. 2 = M 3. At the cit museum, child admission is and adult admission
More informationMath Review Part C Advanced Level (Up to end of MAT 053)
Math Review Part C Advanced Level (Up to end of MAT 05) A scientific calculator is allowed. Answers provided in the final section. Math Review Part C Advanced Level Advanced Level Algebra ALGEBRAIC EXPRESSIONS
More informationBasic Pr actice Final Exam #3 Page 1 / 20
Basic Practice Final Eam #3 Class Name : M Test Retake Instructor Name : Mr. Becke Student Name : Instructor Note : 1. Graph the inequalit. < 3 + 1        . Graph the sstem below and write its
More informationSummer Math Packet (revised 2017)
Summer Math Packet (revised 07) In preparation for Honors Math III, we have prepared a packet of concepts that students should know how to do as these concepts have been taught in previous math classes.
More informationAdvanced Algebra 2 Final Review Packet KG Page 1 of Find the slope of the line passing through (3, 1) and (6, 4).
Advanced Algebra Final Review Packet KG 0 Page of 8. Evaluate (7 ) 0 when and. 7 7. Solve the equation.. Solve the equation.. Solve the equation. 6. An awards dinner costs $ plus $ for each person making
More information12x y (4) 2x y (4) 5x y is the same as
Name: Unit #6 Review Quadratic Algebra Date: 1. When 6 is multiplied b the result is 0 1 () 9 1 () 9 1 () 1 0. When is multiplied b the result is 10 6 1 () 7 1 () 7 () 10 6. Written without negative eponents
More informationIntermediate Algebra 100A Final Exam Review Fall 2007
1 Basic Concepts 1. Sets and Other Basic Concepts Words/Concepts to Know: roster form, set builder notation, union, intersection, real numbers, natural numbers, whole numbers, integers, rational numbers,
More informationSolve the equation for the specified variable. Use the distributive property to factor as necessary. 2) 9s + 8p = tp  8 for p
College Readiness Math Final Eam Review Sheet Solve the equation. 1) r + 6 = r + 8 3 6 Solve the equation for the specified variable. Use the distributive propert to factor as necessar. 2) 9s + 8p = tp
More informationMATH Spring 2010 Topics per Section
MATH 101  Spring 2010 Topics per Section Chapter 1 : These are the topics in ALEKS covered by each Section of the book. Section 1.1 : Section 1.2 : Ordering integers Plotting integers on a number line
More informationAPPLIED ALGEBRA II SEMESTER 1 EXAM ITEM SPECIFICATION SHEET & KEY
APPLIED ALGEBRA II SEMESTER 1 EXAM ITEM SPECIFICATION SHEET & KEY Constructed Response # Objective Sllabus Objective NV State Standard 1 Graph a polnomial function. 1.1.7.1 Analze graphs of polnomial functions
More informationIntermediate Algebra with Applications
Lakeshore Technical College 10804118 Intermediate Algebra with Applications Course Outcome Summary Course Information Alternate Title Description Total Credits 4 Total Hours 72 Pre/Corequisites Prerequisite
More informationMath 025 Review Exercises for the Final Exam
Math 05 Review Eercises for the Final Eam The following are review eercises for the Math 05 final eam. These eercises are provided for ou to practice or test ourself for readiness for the final eam. There
More informationMath 90 Final Exam Review ( )
Math 90 Final Eam Review (01 015) Course Learning Outcome 1: Model, interpret and justif mathematical ideas and concepts using multiple representations, and use multiple strands in mathematics, such as
More information2. Which of the following expressions represents the product of four less than three times x and two more than x?
Algebra Topics COMPASS Review You will be allowed to use a calculator on the COMPASS test. Acceptable calculators are: basic calculators, scientific calculators, and graphing calculators up through the
More informationCourse 15 Numbers and Their Properties
Course Numbers and Their Properties KEY Module: Objective: Rules for Eponents and Radicals To practice appling rules for eponents when the eponents are rational numbers Name: Date: Fill in the blanks.
More informationPart I: No Calculators Allowed
Name of Math lover: m favorite student Math 60: ELEMENTARY ALGEBRA Xtra Practice for the Last Eam Question : What s going to be on the final eam? Answer : Material from Chapter 1 to Chapter 9. Date: To
More informationModule 3, Section 4 Analytic Geometry II
Principles of Mathematics 11 Section, Introduction 01 Introduction, Section Analtic Geometr II As the lesson titles show, this section etends what ou have learned about Analtic Geometr to several related
More informationReview of Elementary Algebra Content
Review of Elementar Algebra Content 0 1 Table of Contents Fractions...1 Integers...5 Order of Operations...9 Eponents...11 Polnomials...18 Factoring... Solving Linear Equations...1 Solving Linear Inequalities...
More informationReview of Exponent Rules
Page Review of Eponent Rules Math : Unit Radical and Rational Functions Rule : Multipling Powers With the Same Base Multipl Coefficients, Add Eponents. h h h. ( )( ). (6 )(6 ). (m n )(m n ). ( 8ab)( a
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Math 2 Stud GuideChapters 8 and 9 Name Date: Time: MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find all square roots of the number. ) 600 9,
More informationFirst Semester Final Review NONGraphing Calculator
Algebra First Semester Final Review NONGraphing Calculator Name:. 1. Find the slope of the line passing through the points ( 5, ) and ( 3, 7).. Find the slopeintercept equation of the line passing through
More informationMourning Sr. High. PreCalculus 2017 Summer Assignment. 2. Write the final answer on the line provided.
Mourning Sr. High Directions: 1. Show all of our work. PreCalculus 017 Summer Assignment. Write the final answer on the line provided. This assignment will be collected the first da of school. You will
More informationMATH 115: Review for Chapter 6
MATH 115: Review for Chapter 6 In order to prepare for our test on Chapter 6, ou need to understand and be able to work problems involving the following topics: I SYSTEMS OF LINEAR EQUATIONS CONTAINING
More informationUnit 2: Rational Expressions
Rational Epressions Pure Math 0 Notes Unit : Rational Epressions : Simplifing Rational Epressions Rational Epressions:  fractions with polnomials as numerator and / or denominator. To Simplif (Reduce)
More informationMATH 125 MATH EXIT TEST (MET) SAMPLE (Version 4/18/08) The actual test will have 25 questions. that passes through the point (4, 2)
MATH MATH EXIT TEST (MET) SAMPLE (Version /8/08) The actual test will have questions. ) Find the slope of the line passing through the two points. (, ) and (, 6) A) 0 C)  D) ) Sketch the line with
More informationMath Analysis Chapter 2 Notes: Polynomial and Rational Functions
Math Analysis Chapter Notes: Polynomial and Rational Functions Day 13: Section 1 Comple Numbers; Sections  Quadratic Functions 1: Comple Numbers After completing section 1 you should be able to do
More informationAccuplacer College Level Math Study Guide
Testing Center Student Success Center Accuplacer Study Guide The following sample questions are similar to the format and content of questions on the Accuplacer College Level Math test. Reviewing these
More informationMath 0240 Final Exam Review Questions 11 ( 9) 6(10 4)
11 ( 9) 6(10 4) 1. Simplif: 4 8 3 + 8 ( 7). Simplif: 34 3. Simplif ( 5 7) 3( ) 8 6 4. Simplif: (4 3 ) 9 5. Simplif: 4 7 3 6. Evaluate 3 4 5 when and 3 Write each of the values below in decimal or standard
More informationSolutions to the Math 1051 Sample Final Exam (from Spring 2003) Page 1
Solutions to the Math 0 Sample Final Eam (from Spring 00) Page Part : Multiple Choice Questions. Here ou work out the problems and then select the answer that matches our answer. No partial credit is given
More informationEOC Review. Algebra I
EOC Review Algebra I Order of Operations PEMDAS Parentheses, Eponents, Multiplication/Division, Add/Subtract from left to right. A. Simplif each epression using appropriate Order of Operations.. 5 6 +.
More informationSystems of Linear Equations: Solving by Graphing
8.1 Sstems of Linear Equations: Solving b Graphing 8.1 OBJECTIVE 1. Find the solution(s) for a set of linear equations b graphing NOTE There is no other ordered pair that satisfies both equations. From
More information