MATH FOR LIBERAL ARTS FINAL REVIEW

Size: px
Start display at page:

Transcription

1 MATH FOR LIBERAL ARTS FINAL REVIEW Find the value of the annuity. Round to the nearest cent. A = P 1 + r n r n nt - 1 P = A r n 1 + r n nt - 1 1) Periodic Deposit: \$100 at the end of each year Rate: 5% compounded annually Time: 9 years Determine the periodic deposit. Round to the nearest cent. A = P 1 + r n r n nt - 1 P = A r n 1 + r n nt - 1 2) Periodic Deposit: \$? at the end of every six months Rate: 10% compounded semiannually Time: 8 years Financial Goal: \$310,000 Solve the problem. 3) A real estate company borrowed \$415,000 to develop some condos. It amortized the loan to pay monthly for 4 years at 7% interest. Find the amount of each monthly payment. Provide the following information. a. Name the vertex of the angle. b. Name the sides of the angle. c. Name the angle in three different ways. 4) Solve the problem. 5) The hour hand of a clock moves from 12 to 10 o'clock. Through how many degrees does it move? 6) The hour hand of a clock moves from 12 to 1 o'clock. Through how many degrees does it move? 1

2 Find the measure of the angle in which? appears. 7) 13 8) 71 Find the measure of the complement of the angle. 9) Find the complement of 40. Find the measure of the supplement of the angle. 10) Find the supplement of 127. Find the measures of angles 1, 2, and 3. 11) 113 Find the measure of angle A for the triangle shown. 12)

3 Find the measure of the angle. 13) Find the measure of angle 2 in the figure shown. Use similar triangles and the fact that corresponding sides are proportional to find the length of the side marked with an x. 14) 15 m 3 m 5 m 12 m 4 m Use similar triangles and the fact that corresponding sides are proportional to find the length of the segment marked with an x. 15) 10 in. 8 in. 10 in. Use the Pythagorean Theorem to find the missing length in the right triangle. Use a calculator to find square roots, rounding, if necessary, to the nearest tenth. 16) c 6 in. 9 in. 17) a 20 m 10 m Use the Pythagorean Theorem to solve the problem. Use your calculator to find square roots, rounding, if necessary, to the nearest tenth. 18) If you drive 16 miles south, then make a left turn and drive 12 miles east, how far are you, in a straight line, from your starting point? 3

4 Find the perimeter of the figure shown. Express the perimeter in the same unit of measure that appears on the given side or sides. 19) 27 in. 9 in. 12 in. 3.5 in. 15 in. 5.5 in. Solve the problem. 20) Find the sum of the measures of the angles of a 6-sided polygon. Use formulas to find the area of the figure. 21) 14 in in. 17 in. 22) 6 ft 10 ft 10 ft 9 ft Solve the problem. 23) What will it cost to tile a rectangular floor measuring 296 feet by by 36 feet if the tile costs \$13 per square foot? Solve the problem. Round all circumference and area calculations to the nearest whole number. 24) How much fencing is required to enclose a circular garden whose radius is 70 m? 4

5 Use the given right triangle to find the trigonometric function. 25) cos B 26) sin A Find the measure of the side of the right triangle whose length is designated by the lowercase letter. Round your answer to the nearest whole number. 27) 129 in. 40 Use the inverse trigonometric keys on a calculator to find the measure of angle A, rounded to the nearest whole degree. 28) 12 m 27 m 5

6 Find the measures of the parts of the right triangle that are not given. Round your answers to the nearest whole number. 29) c a 31 b = 59 yd Solve the problem. 30) To find the distance across a large pond, a surveyor took the measurements in the figure shown. Use these measurements to determine how far it is across the lake. Round to the nearest foot feet Graph the equation. Select integers for x, -3 x 3. 31) y = -4x - 2 Evaluate the function at the given values of the variable. 32) f(x) = 5x a. f(-1) b. f(-7) 6

7 Evaluate f(x) for the given values for x. Then use the ordered pairs (x, f(x)) from your table to graph the function. 33) f(x) = x x f(x) Use the x- and y-intercepts to graph the linear equation. 34) x - 3y = -9 Calculate the slope of the line passing through the given points. If the slope is undefined, so state. Then indicate whether the line rises, falls, is horizontal, or is vertical. 35) (7, 3), (-16, -7) Graph the linear function using the slope and y-intercept. 36) y = 1 2 x - 3 7

8 In the following problem: a. Put the equation in slope-intercept form. b. Identify the slope and y-intercept. c. Graph the line. 37) 3x + 8y = 24 Graph the horizontal or vertical line. 38) x = 2 39) y = 5 8

9 The graph shows that the cost of the average college mathematics textbook has been rising steadily since ) a. What is the y-intercept? b. What is the slope? c. What is the equation of this line, in slope-intercept form? d. Predict the cost of an average college mathematics textbook in Solve the system by graphing. Check the coordinates of the intersection point in both equations. 41) 3x + y = -11 3x + 5y = 5 Solve the system by the substitution method. Be sure to check all proposed solutions. 42) x - 5y = 7 2x - 4y = 14 Solve the system by the addition method. Be sure to check all proposed solutions. 43) x + 2y = 25-7x + 2y = -31 9

10 Solve the problem. 44) A couple have bought a new house and are comparing quotes from two moving companies for moving their furniture. Company A charges \$80 for the truck and \$55 per hour for the movers. Company B charges \$70 for the truck and \$65 per hour for the movers. Create a cost equation for each company where y is the total cost and x is the number of hours of labor. Write a system of equations. Graph the linear inequality. 45) 2x + 4y 8 Graph the system of inequalities. 46) x - 2y 2 x + y 0 Express the set using the roster method. 47) the set of odd natural numbers less than 19 Write or in the blank so that the resulting statement is true. 48) {red, blue, green} {blue, green, yellow, black} Use,,, or both and to make a true statement. 49) {9, 10, 11} {9, 10, 11} 50) {11, 12, 13} {11, 12, 13} 10

11 Calculate the number of subsets and the number of proper subsets for the set. 51) {1, 3, 5, 7, 9, 11} Consider below the branching tree diagram based on the number per 3000 American adults. Let T = the set of Americans who like classical music R = the set of Republicans who like classical music D = the set of Democrats who like classical music I = the set of Independents who like classical music Determine whether the statement is true or false. 52) Let M = the set of Democratic men who like classical music W = the set of Democratic women who like classical music M T 53) Let M = the set of Republican men who like classical music W = the set of Republican women who like classical music If x M, then x R. Use the Venn diagram to list the elements of the set in roster form. 54) List the elements of B. 11

12 Use the Venn diagram to list the elements of the set in roster form. 55) The set of students who studied Saturday and not Sunday Let U = {21, 22, 23,..., 40}, A = {21, 22, 23, 24, 25}, B = {26, 27, 28, 29}, C = {21, 23, 25, 27,..., 39}, and D = {22, 24, 26, 28,..., 40}. Use the roster method to write the following set. 56) A' Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z}. List the elements in the set. 57) C' A' 58) (A B)' 59) A B' 60) C' A' 61) A' 62) A (B C) Solve the problem by applying the Fundamental Counting Principle with two groups of items. 63) In how many ways can a girl choose a two-piece outfit from 5 blouses and 6 skirts? 64) How many different four-letter secret codes can be formed if the first letter must be an S or a T? Use the Fundamental Counting Principle to solve the problem. 65) There are 7 performers who are to present their acts at a variety show. One of them insists on being the first act of the evening. If this request is granted, how many different ways are there to schedule the appearances? Evaluate the factorial expression. 66) 5! 3! 12

13 67) 6! (6-2)! Use the formula for n P r to evaluate the expression. 68) 10 P 7 Use the formula for n P r to solve. 69) A club elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible if there are 13 members and any member can be elected to each position? No person can hold more than one office. In the following exercises, does the problem involve permutations or combinations? Explain your answer. It is not necessary to solve the problem. 70) How many different user ID's can be formed from the letters W, X, Y, Z if no repetition of letters is allowed? 71) A record club offers a choice of 7 records from a list of 45. In how many ways can a member make a selection? Use the formula for n C r to evaluate the expression. 72) 5 C 4 Solve the problem. 73) To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 55 numbers (one through 55). The order in which the selections is made does not matter. How many different selections are possible? Use the theoretical probability formula to solve the problem. Express the probability as a fraction reduced to lowest terms. 74) A die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6}. Find the probability of getting a 6. 75) You are dealt one card from a standard 52-card deck. Find the probability of being dealt an ace or a 7. 76) Use the spinner below to answer the question. Assume that it is equally probable that the pointer will land on any one of the five numbered spaces. If the pointer lands on a borderline, spin again. Find the probability that the arrow will land on 3 or 4. 13

14 Solve the problem. 77) The government of a town needs to determine if the city's residents will support the construction of a new town hall. The government decides to conduct a survey of a sample of the city's residents. Which one of the following procedures would be most appropriate for obtaining a sample of the town's residents? A) Survey every 6th person who walks into city hall on a given day. B) Survey a random sample of persons within each geographic region of the city. C) Survey the first 200 people listed in the town's telephone directory. D) Survey a random sample of employees at the old city hall. 78) A random sample of 30 high school students is selected. Each student is asked how much time he or she spent watching television during the previous week. The following times (in hours) are obtained: 6, 14, 8, 11, 8, 6, 8, 7, 5, 11, 9, 7, 7, 6, 9, 8, 5, 5, 10, 7, 5, 7, 14, 9, 6, 10, 6, 9, 8, 7 Construct a frequency distribution for the data. 79) Which one of the following is true according to the graph? A) The graph is based on a sample of approximately 62 thousand people. B) The percent of people with years of higher education greater than those shown by any rectangular bar is equal to the percent of people with years of education less than those shown by that bar. C) If the sample is truly representative, then for a group of 50 people, we can expect about 32 of them to have one year of education beyond high school. D) More people had 4 years of education beyond high school than 3 years. Find the mean for the group of data items. Round to the nearest hundredth, if necessary. 80) 78, 78, 87, 71, 91, 78 Find the median for the group of data items. 81) 97, 97, 91, 47, 72, 97 Find the mode for the group of data items.if there is no mode, so state. 82) 1.3, 2.3, 1.5, 2.9, 1.3, 2.3, 1.3, 8.1, 8.1,

15 Find the midrange for the group of data items. 83) 96, 96, 93, 44, 71, 96 Find the range for the group of data items. 84) 11, 11, 11, 19, 23, 23, 23 A group of data items and their mean are given. Find a. the deviation from the mean for each of the data items and b. the sum of the deviations in part a. 85) 46, 46, 48, 51, 51, 51, 52, 53, 56, 56; Mean = 51 Find the standard deviation for the group of data items (to the nearest hundredth). 86) 15, 16, 17, 18, 19 Solve the problem. 87) 25% of 28 is what number? 88) What number is 22% of 17? 89) 22 is 5% of what number? 90) Jeans with an original price of \$44 are on sale at 25% off. What is the sale price of the jeans? (Round to the nearest cent, if necessary.) 91) A dress regularly sells for \$130. The sale price is \$84. Find the percent decrease of the sale price from the regular price. The principal P is borrowed at simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year and round answer to the nearest cent. 92) P = \$6700 r = 4.5% t = 21 months The principal P is borrowed at simple interest rate r for a period of time t. Find the loan's future value, A, or the total amount due at time t. Round answer to the nearest cent. 93) P = \$ r = 5% t = 9 months The principal P is borrowed and the loan's future value, A, at time t is given. Determine the loan's simple interest rate, r, to the nearest tenth of a percent. 94) P = \$170 A = \$ t = 3 years 15

16 Determine the present value, P, you must invest to have the future value, A, at simple interest rate r after time t. Round answer to the nearest dollar. 95) A = \$5500 r = 10% t = 1 year Solve the problem. 96) Lonnie needs extra money to buy a truck to start up a delivery service. He takes out a simple interest loan for \$ for 6 months at a rate of 7.25%. How much interest must he pay, and what is the future value of the loan? Solve the problem. A = P 1 + r n nt P = A 1 + r n nt A = Pe rt Y = 1 + r n n ) How much money should be deposited today in an account that earns 10% compounded semiannually so that it will accumulate to \$1000 in 12 years? 98) James and Susan wish to have \$10,000 available for their wedding in 2 years. How much money should they set aside now at 6% compounded monthly in order to reach their financial goal? 99) A passbook savings account has a rate of 7%. Find the effective annual yield if the interest is compounded monthly. 16

17 Answer Key Testname: SPR2015 FINALREVIEW 1) \$ ) \$13, ) \$ ) a. point A b. AB and AC c. A, BAC, CAB 5) 300 6) 30 7) 77 8) 109 9) 50 10) 53 11) m 1 = 67, m 2 = 113, m 3 = 67 12) 41 13) ) 9 m 15) 2.5 in. 16) 10.8 in. 17) 17.3 m 18) 20 mi 19) 72 in. 20) ) in. 2 22) 240 ft 2 23) \$138,528 24) 440 m 25) ) ) 99 in. 28) 24 29) a = 35 yd; c = 69 yd; B = 59 30) 167 feet 31) 32) 10, ) x f(x) ) 36) 37) a. y = x + 3 b. slope = - 3 8, y-intercept = 3 c. 38) 35) 10 23, rises 17

18 Answer Key Testname: SPR2015 FINALREVIEW 39) 40) a. 46 b. 6 c. y = 6x + 46 d ) {(-5, 4)} 42) {(7, 0)} 43) {(7, 9)} 44) y = 55x + 80 y = 65x ) 47) {1, 3, 5,..., 17} 48) 49) 50) 51) 64; 63 52) True 53) True 54) {12, 13, 15, 16, 17} 55) {Karen, Charly} 56) A' = {26, 27, 28,..., 40} 57) {r, t} 58) {r, t, v, x} 59) {u, w} 60) {q, r, s, t, u, v, x, z} 61) {r, t, v, x, z} 62) {q, s, u, w, y, z} 63) 30 64) 35,152 65) ) 20 67) 30 68) 604,800 69) ) Permutations, because the order of the letters matters. 71) Combinations, because the order of the records selected does not matter. 72) 5 73) 28,989,675 74) ) ) ) 94 82) ) 70 84) 12 85) -5, -5, -3, 0, 0, 0, 1, 2, 5, 5; 0 86) ) 7 88) ) ) \$ ) 35.4% 92) \$ ) \$ ) 7% 95) \$ ) interest: \$ ; future value: \$ ) \$ ) \$ ) 7.2% 46) 76) ) B 78) Hours Number of of TV HS Students ) D 18

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Math 1332 Exam Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the cardinal number for the set. 1) {8, 10, 12,..., 66} 1) Are the sets

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Math 1332 Exam Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the cardinal number for the set. 1) {10, 12, 14,..., 68} 1) Are the sets

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write a word description of the set. 1) {January, February, March, April, May, June, July,

11) 12) ) ) ) )

Math 155 Course Review Questions 1-38 can be used as a study plan for the midterm. All questions should be studied for the final exam. Use the order of operations to find the value of the expression. 1)

MATH 1310 (College Mathematics for Liberal Arts) - Final Exam Review (Revised: Fall 2016)

MATH 30 (College Mathematics for Liberal Arts) - Final Exam Review (Revised: Fall 206) This Review is comprehensive but should not be the only material used to study for the Final Exam. It should not be

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MGF 1106 Math for Liberal Arts I Summer 2008 - Practice Final Exam Dr. Schnackenberg If you do not agree with the given answers, answer "E" for "None of the above". MULTIPLE CHOICE. Choose the one alternative

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Express the set using the roster method. 1) {x x N and x is greater than 7} 1) A) {8,9,10,...}

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Math 1332 Chapter 10 Review Name Solve the problem. 1) The hour hand of a clock moves from 12 to 4 oʹclock. Through how many degrees does it move? 1) Find the measure of the angle in which? appears. 2)

A spinner has a pointer which can land on one of three regions labelled 1, 2, and 3 respectively.

Math For Liberal Arts Spring 2011 Final Exam. Practice Version Name A spinner has a pointer which can land on one of three regions labelled 1, 2, and 3 respectively. 1) Compute the expected value for the

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Final Review MGF 06 MDC Kendall MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the measure of the complement of the angle. ) Find the complement

MAT 121: Mathematics for Business and Information Science Final Exam Review Packet

MAT 121: Mathematics for Business and Information Science Final Exam Review Packet A. Calculate the exact distance (i.e., simplified radicals where appropriate, not decimal approximations using a calculator)

My Math Plan Assessment #3 Study Guide

My Math Plan Assessment # Study Guide 1. Identify the vertex of the parabola with the given equation. f(x) = (x 5) 2 7 2. Find the value of the function. Find f( 6) for f(x) = 2x + 11. Graph the linear

Grade 11 Mathematics Page 1 of 6 Final Exam Review (updated 2013)

Grade Mathematics Page of Final Eam Review (updated 0) REVIEW CHAPTER Algebraic Tools for Operating With Functions. Simplify ( 9 ) (7 ).. Epand and simplify. ( ) ( ) ( ) ( 0 )( ). Simplify each of the

MATH 1710 College Algebra Final Exam Review

MATH 1710 College Algebra Final Exam Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) There were 480 people at a play.

Summer Math Packet for Students Entering Algebra 2 1. Percentages. a. What is 15% of 250 b. 150 is what percent of 750?

Summer Math Packet for Students Entering Algebra 2 1. Percentages a. What is 15% of 250 b. 150 is what percent of 750? c. Last week the stock market went down from 15,235 to 13,784. What was the percent

Math: Question 1 A. 4 B. 5 C. 6 D. 7

Math: Question 1 Abigail can read 200 words in one minute. If she were to read at this rate for 30 minutes each day, how many days would Abigail take to read 30,000 words of a book? A. 4 B. 5 C. 6 D. 7

algebraic expression angle exponent equation Vocabulary Flash Cards Review Review Review Review Review Review Big Ideas Math Red

algebraic expression angle base (of a power) coordinate plane equation exponent expression factor A figure formed by two rays with the same endpoint An expression that contains numbers, operations, and

MTH 201 Applied Mathematics Sample Final Exam Questions. 1. The augmented matrix of a system of equations (in two variables) is:

MTH 201 Applied Mathematics Sample Final Exam Questions 1. The augmented matrix of a system of equations (in two variables) is: 2 1 6 4 2 12 Which of the following is true about the system of equations?

ALGEBRA I SEMESTER EXAMS PRACTICE MATERIALS SEMESTER (1.1) Examine the dotplots below from three sets of data Set A

1. (1.1) Examine the dotplots below from three sets of data. 0 2 4 6 8 10 Set A 0 2 4 6 8 10 Set 0 2 4 6 8 10 Set C The mean of each set is 5. The standard deviations of the sets are 1.3, 2.0, and 2.9.

Math Literacy. Curriculum (457 topics additional topics)

Math Literacy This course covers the topics outlined below, and can be used to support a non STEM pathways course. You can customize the scope and sequence of this course to meet your curricular needs.

Math Literacy. Curriculum (457 topics)

Math Literacy This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular

(MATH 1203, 1204, 1204R)

College Algebra (MATH 1203, 1204, 1204R) Departmental Review Problems For all questions that ask for an approximate answer, round to two decimal places (unless otherwise specified). The most closely related

Unit 1: Introduction to Variables

Section 1.1: Writing Algebraic Expressions Section 1.2: The Story of x Section 1.3: Evaluating Algebraic Expressions Section 1.4: Applications Section 1.5: Geometric Formulas KEY TERMS AND CONCEPTS Look

ACCUPLACER Sample Questions for Students

ACCUPLACER Sample Questions for Students Math Sample Questions for Students (ANSWER KEYS ARE FOUND AT THE END OF THIS DOCUMENT) 0 The College Board. College Board, ACCUPLACER, WritePlacer and the acorn

Solve the equation. 1) x + 1 = 2 x. Use a method of your choice to solve the equation. 2) x2 + 3x - 28 = 0

Precalculus Final Exam Review Sheet Solve the equation. 1) x + 1 = 2 x Use a method of your choice to solve the equation. 2) x2 + 3x - 28 = 0 Write the sum or difference in the standard form a + bi. 3)

Middle School Math Course 2

Middle School Math Course 2 This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet

ACCUPLACER Sample Questions for Students

ACCUPLACER Sample Questions for Students 0 The College Board. College Board, ACCUPLACER, WritePlacer and the acorn logo are registered trademarks of the College Board. All other products and services may

Directions: This is a final exam review which covers all of the topics of the course. Please use this as a guide to assist you in your studies.

MATH 1113 Precalculus FINAL EXAM REVIEW irections: This is a final exam review which covers all of the topics of the course. Please use this as a guide to assist you in your studies. Question: 1 QI: 758

Algebra II/Trig Final Review

Class: Date: Algebra II/Trig Final Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which is the graph of y = 2(x 2) 2 4? a. c. b. d. Short Answer

Be prepared to find the volume, area, and volume of any of the shapes covered in lecture and/or homework. A rhombus is also a square.

Math 254SI Practice Problem Set 5 (Chapter 8&9) Do these problems on a separate piece of paper(s). Remember that the quiz is closed book and closed notes except for the Geometry handout that I will provide.

Graduation-Required Assessment for Diploma Mathematics Test Book 18pt Item Sampler Student responses in this test book must be entered by a scribe into an accommodated test form in the Data Entry Interface.

Course Readiness and Skills Review Handbook (Topics 1-10, 17) (240 topics, due. on 09/11/2015) Course Readiness (55 topics)

Course Name: Gr. 8 Fall 2015 Course Code: C6HNH-TEK9E ALEKS Course: Middle School Math Course 3 Instructor: Mr. Fernando Course Dates: Begin: 08/31/2015 End: 06/17/2016 Course Content: 642 Topics (637

Math 101: Final Exam Review Sheet

Math 101: Final Exam Review Sheet (Answers are at the end.) Exam Coverage: Everything we learned in the course. Exam Date: Friday, December 11, 2015 Exam Time: 10:30 am 12:30 pm (Arrive at least 10 minutes

0813ia. Integrated Algebra Regents Exam

081ia 1 Which situation describes a negative correlation? 1) the amount of gas left in a car's tank and the amount of gas used from it the number of gallons of gas purchased and the amount paid for the

Contents CONTENTS 1. 1 Straight Lines and Linear Equations 1. 2 Systems of Equations 6. 3 Applications to Business Analysis 11.

CONTENTS 1 Contents 1 Straight Lines and Linear Equations 1 2 Systems of Equations 6 3 Applications to Business Analysis 11 4 Functions 16 5 Quadratic Functions and Parabolas 21 6 More Simple Functions

7) 24% of the lawyers in a firm are female. If there are 150 lawyers altogether, how many lawyers are female?

Math 110 Sample Final Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the perimeter (or circumference) and area of the figure. 1) Give the exact

THANK YOU FOR YOUR PURCHASE! The resources included in this purchase were designed and created by me. I hope that you find this resource helpful in your classroom. Please feel free to contact me with any

MA Practice Questions for the Final Exam 07/10 .! 2! 7. 18! 7.! 30! 12 " 2! 3. A x y B x y C x xy x y D.! 2x! 5 y E.

MA 00 Practice Questions for the Final Eam 07/0 ) Simplify:! y " [! (y " )].!! 7. 8! 7.! 0! "! A y B y C y y D.!! y E. None of these ) Which number is irrational? A.! B..4848... C. 7 D.. E.! ) The slope

1. Graph each of the given equations, state the domain and range, and specify all intercepts and symmetry. a) y 3x

MATH 94 Final Exam Review. Graph each of the given equations, state the domain and range, and specify all intercepts and symmetry. a) y x b) y x 4 c) y x 4. Determine whether or not each of the following

Corequisite Support for Liberal Arts Mathematics/Quantitative Reasoning

Corequisite Support for Liberal Arts Mathematics/Quantitative Reasoning This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users

Semester Final Exam Review

Semester Final Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What is the volume of the right triangular prism shown? 9 yd 21 yd a. b. c.

QUESTIONS 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,

The point is located eight units to the right of the y-axis and two units above the x-axis. A) ( 8, 2) B) (8, 2) C) ( 2, 8) D) (2, 8) E) ( 2, 8)

Name: Date: 1. Find the coordinates of the point. The point is located eight units to the right of the y-axis and two units above the x-axis. A) ( 8, ) B) (8, ) C) (, 8) D) (, 8) E) (, 8). Find the coordinates

1. Circle the letter that correctly lists the factors for the number given? 2. Write 5.08 as a mixed number in lowest terms: 5 8 / 100 = 5 2 /

. Circle the letter that correctly lists the factors for the number given? these are multiples (more than or = to the number) a) 4: 4, 8,, 6, 0, b) 8:,, 4, 7, 4, 8 c) 4:,, 4, 6, 8,, 4 d) 6: 6,, 8, 4, 0,

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 5) ) A) 1 B) 14 C) 0 D) 16

Review Final Exam MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the order of operations to find the value of the expression. 1) -7(-9) - 4(-2)

Questions # 1-53 Provide review for the Mid-Term Questions # Provide review for the Final

Central Carolina Technical College MAT 031 - Developmental Math Exam Review Questions # 1-53 Provide review for the Mid-Term Questions # 1-105 Provide review for the Final SHORT ANSWER. Write the word

Name: Geometry & Intermediate Algebra Summer Assignment

Name: Geometry & Intermediate Algebra Summer Assignment Instructions: This packet contains material that you have seen in your previous math courses (Pre- Algebra and/or Algebra 1). We understand that

Pre Algebra. Curriculum (634 topics)

Pre Algebra This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.

ALGEBRA I SEMESTER EXAMS PRACTICE MATERIALS SEMESTER Use the diagram below. 9.3 cm. A = (9.3 cm) (6.2 cm) = cm 2. 6.

1. Use the diagram below. 9.3 cm A = (9.3 cm) (6.2 cm) = 57.66 cm 2 6.2 cm A rectangle s sides are measured to be 6.2 cm and 9.3 cm. What is the rectangle s area rounded to the correct number of significant

St. Michael s Episcopal School. Summer Math

St. Michael s Episcopal School Summer Math for rising 7th & 8 th grade Algebra students 2017 Eighth Grade students should know the formulas for the perimeter and area of triangles and rectangles, the circumference

ALGEBRA 1 SEMESTER 1 INSTRUCTIONAL MATERIALS Courses: Algebra 1 S1 (#2201) and Foundations in Algebra 1 S1 (#7769)

Multiple Choice: Identify the choice that best completes the statement or answers the question. 1. Ramal goes to the grocery store and buys pounds of apples and pounds of bananas. Apples cost dollars per

Math Workshop Prealgebra/Numerical Skills

Math Workshop Prealgebra/Numerical Skills Workshop Objective: Once a student successfully completes the Prealgebra Math Workshop, s/he will achieve a basic understanding the material taught in a MAT 060

Diagnostic Test. Month Balance Change February \$ March \$ \$13.10 April \$1, \$ May \$ \$ June \$ \$163.

Diagnostic Test Select the best answer for questions 1 60. Fill in the correct bubble on your answer sheet. 1. The chart shows the balance in Neil s savings account and the change from the previous month.

MATH 410 Notes Simplifying Algebraic Expressions

MATH 410 Notes 2016 1.9 - Simplifying Algebraic Expressions Commutative Property: a + b = b + a and a b = b a Associative Property: a + (b + c) = (a + b) + c and a (b c) = (a b) c Distributive Property:

Math 074 Final Exam Review. REVIEW FOR NO CALCULATOR PART OF THE EXAM (Questions 1-14)

Math 074 Final Exam Review REVIEW FOR NO CALCULATOR PART OF THE EXAM (Questions -4) I. Can you add, subtract, multiply and divide fractions and mixed numbers?. Perform the indicated operations. Be sure

2004 Washington State Math Championship. Individual Test - Grade 5

004 Washington State Math Championship Unless a particular problem directs otherwise, give an exact answer or one rounded to the nearest thousandth. Individual Test - Grade 5 The first 0 problems are multiple

Algebra 1. Statistics and the Number System Day 3

Algebra 1 Statistics and the Number System Day 3 MAFS.912. N-RN.1.2 Which expression is equivalent to 5 m A. m 1 5 B. m 5 C. m 1 5 D. m 5 A MAFS.912. N-RN.1.2 Which expression is equivalent to 5 3 g A.

My 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.

Name Date Class A 3.12, B 3.12, 10, 3.24, C 10, 3.12, 3.24, D 3.12, 3.24,

. Which label or labels could replace A In the diagram below? A Rational Numbers only B Rational Numbers or Integers C Integers only D Irrational Numbers. Between which two integers does the value of 88

Instructor: TODD CONKLIN Course: 3rd hour Math

Student: Date: Instructor: TODD CONKLIN Course: 3rd hour Math Assignment: Samples and Populations Practice/ End of Year Review 1. You ask 8 classmates how many pencils they have in their bags. The mean

Math 101 Final Exam Review Solutions. Eric Schmutz

Math 101 Final Exam Review Solutions Eric Schmutz Problem 1. Write an equation of the line passing through (,7) and (-1,1). Let (x 1, y 1 ) = (, 7) and (x, y ) = ( 1, 1). The slope is m = y y 1 x x 1 =

Benchmark Test Second Quarter

Benchmark Test Second Quarter 1. The table shows the prices of different sized jars of peanut butter. Which of the jars has the least unit price? A. 1-oz jar B. 1-oz jar Prices of Peanut Butter Size Price

Algebra Readiness This course covers the topics shown below; new topics have been highlighted. Students navigate learning paths based on their level of readiness. Institutional users may customize the

Final Exam Review. Name: Class: Date: Short Answer

Name: Class: Date: ID: A Final Exam Review Short Answer. Use x, 2, 0,, 2 to graph the function f( x) 2 x. Then graph its inverse. Describe the domain and range of the inverse function. 2. Graph the inverse

3. If a coordinate is zero the point must be on an axis. If the x-coordinate is zero, where will the point be?

Chapter 2: Equations and Inequalities Section 1: The Rectangular Coordinate Systems and Graphs 1. Cartesian Coordinate System. 2. Plot the points ( 3, 5), (4, 3), (3, 4), ( 3, 0) 3. If a coordinate is

Finding a Percent of a Number (page 216)

LESSON Name 1 Finding a Percent of a Number (page 216) You already know how to change a percent to a fraction. Rewrite the percent as a fraction with a denominator of 100 and reduce. 25% = 25 100 = 1 5%

G.C.E.(O.L.) Support Seminar

- 1 - G..E.(O.L.) Support Seminar - 2014 Mathematics I Two Hours 1. Simplify : 1.2 + 0.35 Part nswer all questions on this question paper itself. 2. Find the balance when a Rs. 100 note is tendered to

Please print the following information in case your scan sheet is misplaced:

MATH 1100 Common Final Exam FALL 010 December 10, 010 Please print the following information in case your scan sheet is misplaced: Name: Instructor: Student ID: Section/Time: The exam consists of 40 multiple

hs assessment Name: Simplify: 7. Find the quotient ËÁ ( 3 + 4) 2 a. 25 b. 196 c. 198 d. 100 a b c. 4 d.

Name: hs assessment Simplify:. 2 + 2( 3 + 4) 2 2 96 98 00 x + 0 2. Simplify x + 0 x + 2 x + x + 2 3. Simplify 0 3 + 4 0. 4.8 27 32 28.8 4. Evaluate. ( 4) ( ) + 6 3 3. Find the product. ( 8)(2)() 80 80

Algebra 1 Honors EOC Review #4 Calculator Portion

Algebra 1 Honors EOC Review #4 Calculator Portion 1. Given the data set : 9, 16, 35, 7, 1, 3, 11, 4, 6, 0, 8, 415, 30,, 18, 3, Find the following values : a) Mean b) Median c) Lower Quartile d) Upper Quartile

Pre Algebra. Curriculum (634 topics additional topics)

Pre Algebra This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.

NEW ENGLAND COMMON ASSESSMENT PROGRAM

NEW ENGLAND COMMON ASSESSMENT PROGRAM Released Items Support Materials 2009 Grade 11 Mathematics N&O 10.2 Demonstrates understanding of the relative magnitude of real numbers by solving problems involving

4 and m 3m. 2 b 2ab is equivalent to... (3 x + 2 xy + 7) - (6x - 4 xy + 3) is equivalent to...

NAME: SCORE: Find the answer choice that best answers the question. Write your answer choice in the blank provided beside each question. You must show all work necessary to solve the problem to receive

MATH 106 FINAL EXAMINATION This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator. You must complete the exam individually.

MATH 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

Name: Date: Period: Study Guide: Final Exam Wednesday, June 19th

Part A: Multiple Choice (1 point) * Directions: Circle the correct answer choice for the following multiple choice problems. 1. 5. The graph below shows the relationship between velocity and time for a

addend angle composite number capacity Vocabulary Flash Cards Review Review Review Review Review Review

addend angle area bar graph capacity composite number cubic units difference A figure formed by two rays with the same endpoint A number to be added to another number. 2 or 3 in the sum 2 + 3. A graph

Chinle USD CURRICULUM GUIDE SUBJECT: MATH GRADE: 8th TIMELINE: 3 rd quarter

*Strand 2: Data Analysis, Probability, and Discrete Concept 1: Data Analysis (Statistics) data collection, organization, and representation to analyze and sort data. PO 1. Solve problems by selecting,

Middle School Math Course 3

Middle School Math Course 3 This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet

1 of 30 2/6/2019, 10:15 AM

1 of 30 2/6/2019, 10:15 AM Student: Date: Instructor: Alfredo Alvarez Course: Math 0410 / 0320 Alvarez Assignment: MATH5THGRADEWARMUP105j 1. Write the whole number in expanded form. 6620 6620 = (Type your

Chapter 8 Sequences, Series, and Probability

Chapter 8 Sequences, Series, and Probability Overview 8.1 Sequences and Series 8.2 Arithmetic Sequences and Partial Sums 8.3 Geometric Sequences and Partial Sums 8.5 The Binomial Theorem 8.6 Counting Principles

Algebra 2. Curriculum (524 topics additional topics)

Algebra 2 This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.

Semester 1 Final Review. c. 7 d.

Solve the equation in questions 1-4. 1. 7 x + 5 = 8 a. 7 b. 1 7 c. 7 d. 7. 7 = d + 0 a. 10 b. 0 c. 1 d. 1. p 1 = 5(p 1) (7 p) a. b. 0 c. 9 d. 10 4. 5x 5 = x 9 a. b. 1 c. 1 d. 5. A customer went to a garden

Math 0312 Intermediate Algebra Chapter 1 and 2 Test Review

Math 0312 Intermediate Algebra Chapter 1 and 2 Test Review Name Date MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation for y. 1)

Math 120 Final Exam Practice Problems, Form: A

Math 120 Final Exam Practice Problems, Form: A Name: While every attempt was made to be complete in the types of problems given below, we make no guarantees about the completeness of the problems. Specifically,

WESTMORELAND COUNTY PUBLIC SCHOOLS Integrated Instructional Pacing Guide and Checklist Foundations of Algebra

WESTMORELAND COUNTY PUBLIC SCHOOLS 2011 2012 Integrated Instructional Pacing Guide and Checklist Foundations of Algebra FIRST QUARTER Units 1 2 3 4 6 7 8 9 (s) Integers 7.3 Polynomials Operations A.2 Perfect

Practice Questions for Math 131 Exam # 1

Practice Questions for Math 131 Exam # 1 1) A company produces a product for which the variable cost per unit is \$3.50 and fixed cost 1) is \$20,000 per year. Next year, the company wants the total cost

General Mathematics 2001 HIGHER SCHOOL CERTIFICATE EXAMINATION. General Instructions Reading time 5 minutes. Total marks 100

00 HIGHER SCHOOL CERTIFICATE EXAMINATION General Mathematics General Instructions Reading time 5 minutes Working time hours Write using black or blue pen Calculators may be used A formulae sheet is provided

ACP Semester 2 Review

lass: Date: P Semester 2 Review Multiple hoice Identify the choice that best completes the statement or answers the question. 1. n airplane flight has 228 seats. The probability that a person who buys

2007 First-Class Mail Rates for Flats* Weight (oz) Rate (dollars) Weight (oz) Rate (dollars)

Lesson 3-9 Step Functions BIG IDEA Step functions have applications in many situations that involve rounding. In 2007, the U.S. postage rate for first class flats (certain large envelopes) was \$0.70 for

Student Name P Grade Test Booklet Practice Test TEST BOOKLET SECURITY BARCODE Unit 1 Unit 1 Directions: Today, you will take Unit 1 of the Grade Practice Test. Unit 1 has two sections. In the first section,

ALGEBRA GRADES 7-8. Do not open this booklet until instructed to do so. Mark your answer on the answer sheet by FILLING in the oval.

Kansas City Area Teachers of Mathematics 2013 KCATM Math Competition ALGEBRA GRADES 7-8 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 20 minutes You may NOT use calculators.

Chapter 14: Basics of Functions

Math 91 Final Exam Study Guide Name Chapter 14: Basics of Functions Find the domain and range. 1) {(5,1), (5,-4), (6,7), (3,4), (-9,-6)} Find the indicated function value. 2) Find f(3) when f(x) = x2 +

Re: January 27, 2015 Math 080: Final Exam Review Page 1 of 6

Re: January 7, 015 Math 080: Final Exam Review Page 1 of 6 Note: If you have difficulty with any of these problems, get help, then go back to the appropriate sections and work more problems! 1. Solve for

3 2 (C) 1 (D) 2 (E) 2. Math 112 Fall 2017 Midterm 2 Review Problems Page 1. Let. . Use these functions to answer the next two questions.

Math Fall 07 Midterm Review Problems Page Let f and g. Evaluate and simplify f g. Use these functions to answer the net two questions.. (B) (E) None of these f g. Evaluate and simplify. (B) (E). Consider

Algebra 1. Functions and Modeling Day 2

Algebra 1 Functions and Modeling Day 2 MAFS.912. F-BF.2.3 Which statement BEST describes the graph of f x 6? A. The graph of f(x) is shifted up 6 units. B. The graph of f(x) is shifted left 6 units. C.

Geometry Review 1. a. What is the median of the data displayed on the line plot? How many people participated in the contest?

Name: ate: 1 The numbers below represent the ages of the first ten people in line at the movie theater. Which line plot correctly displays the data? 22, 30, 23, 22, 27, 27, 29, 23, 30, 22 2 There was a

Chapter 2 Polynomial and Rational Functions

SECTION.1 Linear and Quadratic Functions Chapter Polynomial and Rational Functions Section.1: Linear and Quadratic Functions Linear Functions Quadratic Functions Linear Functions Definition of a Linear