Chapter 12 Final Review
|
|
|
- Juliana Hill
- 6 years ago
- Views:
Transcription
1 Chapter 12 Final Review Simplify the rational expression Multiply Divide Add or subtract Find the LCD of the pair of expressions.
2 Solve the equation. Check your solution A group of college students is volunteering for Homes for the Community during their spring break. They are putting the finishing touches on a house they built. Working alone, Wade can paint a certain room in 7 hours. Rhonda can paint the same room in 5 hours. How long will it take them working together to paint the room? Round your answer to the nearest hundredth if necessary. 38. Write and simplify the rational expression that represents the probability of randomly hitting the unshaded region of the rectangle. Show all of your work. 39. Simplify the following expression. Show your work.
3 Chapter 12 Review Answer Section SHORT ANSWER 1. ANS: TOP: 12-2 Example 1 2. ANS: TOP: 12-2 Example 1 3. ANS: TOP: 12-2 Example 2 4. ANS: TOP: 12-2 Example 2 5. ANS: x 5 TOP: 12-2 Example 3 6. ANS:
4 TOP: 12-2 Example 2 7. ANS: TOP: 12-2 Example 2 8. ANS: NAT: NAEP 2005 A3b NAEP 2005 A3c ADP J.1.5 TOP: 12-3 Example 1 9. ANS: PTS: 1 DIF: L3 REF: 12-3 Multiplying and Dividing Rational Expressions NAT: NAEP 2005 A3b NAEP 2005 A3c ADP J.1.5 TOP: 12-3 Example ANS: NAT: NAEP 2005 A3b NAEP 2005 A3c ADP J.1.5 TOP: 12-3 Example ANS: NAT: NAEP 2005 A3b NAEP 2005 A3c ADP J.1.5 TOP: 12-3 Example ANS: PTS: 1 DIF: L3 REF: 12-3 Multiplying and Dividing Rational Expressions
5 NAT: NAEP 2005 A3b NAEP 2005 A3c ADP J.1.5 TOP: 12-3 Example ANS: OBJ: Dividing Rational Expressions NAT: NAEP 2005 A3b NAEP 2005 A3c ADP J.1.5 TOP: 12-3 Example ANS: OBJ: Dividing Rational Expressions NAT: NAEP 2005 A3b NAEP 2005 A3c ADP J.1.5 TOP: 12-3 Example ANS: OBJ: Dividing Rational Expressions NAT: NAEP 2005 A3b NAEP 2005 A3c ADP J.1.5 TOP: 12-3 Example ANS: TOP: 12-4 Example ANS: TOP: 12-4 Example ANS: TOP: 12-4 Example ANS:
6 TOP: 12-4 Example ANS: TOP: 12-4 Example ANS: PTS: 1 DIF: L3 REF: 12-4 Dividing Polynomials TOP: 12-4 Example ANS: TOP: 12-4 Example ANS: TOP: 12-4 Example ANS: OBJ: Adding and Subtracting Rational Expressions With Like Denominators TOP: 12-5 Example ANS: OBJ: Adding and Subtracting Rational Expressions With Like Denominators
7 TOP: 12-5 Example ANS: OBJ: Adding and Subtracting Rational Expressions With Like Denominators TOP: 12-5 Example ANS: PTS: 1 DIF: L3 REF: 12-5 Adding and Subtracting Rational Expressions OBJ: Adding and Subtracting Rational Expressions With Like Denominators TOP: 12-5 Example ANS: OBJ: Adding and Subtracting Rational Expressions With Unlike Denominators TOP: 12-5 Example ANS: 6x 7 y 4 OBJ: Adding and Subtracting Rational Expressions With Unlike Denominators TOP: 12-5 Example ANS: x 6 or 1 PTS: 1 DIF: L2 REF: 12-6 Solving Rational Equations OBJ: Solving Rational Equations NAT: NAEP 2005 A4a STA: PA M11.A TOP: 12-6 Example 2 rational equation 31. ANS: x 2 PTS: 1 DIF: L2 REF: 12-6 Solving Rational Equations OBJ: Solving Rational Equations NAT: NAEP 2005 A4a STA: PA M11.A TOP: 12-6 Example 1 rational equation 32. ANS: x 3 10
8 PTS: 1 DIF: L2 REF: 12-6 Solving Rational Equations OBJ: Solving Rational Equations NAT: NAEP 2005 A4a STA: PA M11.A TOP: 12-6 Example 1 rational equation 33. ANS: x 8 PTS: 1 DIF: L2 REF: 12-6 Solving Rational Equations OBJ: Solving Proportions NAT: NAEP 2005 A4a STA: PA M11.A TOP: 12-6 Example 4 rational equation 34. ANS: x 2 PTS: 1 DIF: L3 REF: 12-6 Solving Rational Equations OBJ: Solving Proportions NAT: NAEP 2005 A4a STA: PA M11.A TOP: 12-6 Example 5 rational equation 35. ANS: x PTS: 1 DIF: L3 REF: 12-6 Solving Rational Equations OBJ: Solving Proportions NAT: NAEP 2005 A4a STA: PA M11.A rational equation 36. ANS: x 2 PTS: 1 DIF: L3 REF: 12-6 Solving Rational Equations OBJ: Solving Proportions NAT: NAEP 2005 A4a STA: PA M11.A TOP: 12-6 Example 4 rational equation 37. ANS: 2.92 hours PTS: 1 DIF: L3 REF: 12-6 Solving Rational Equations OBJ: Solving Rational Equations NAT: NAEP 2005 A4a STA: PA M11.A TOP: 12-6 Example 3 KEY: word problem problem solving rational expression rational equation ESSAY 38. ANS: [4] P
9 [3] one error in computation [2] two computational errors [1] correct answer without work shown PTS: 1 DIF: L3 REF: 12-2 Simplifying Rational Functions KEY: extended response rubric-based question rational expression 39. ANS: [4] [3] one error in computation [2] two computational errors [1] correct answer without work shown PTS: 1 DIF: L4 REF: 12-5 Adding and Subtracting Rational Expressions OBJ: Adding and Subtracting Rational Expressions With Unlike Denominators KEY: extended response rubric-based question rational expression
POlynomials. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: Class: Date: POlynomials Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Write 4x 2 ( 2x 2 + 5x 3 ) in standard form. Then classify it by degree
Exponents Unit Assessment Review
Name: Class: Date: ID: A Exponents Unit Assessment Review Multiple Choice Identify the choice that best completes the statement or answers the question. Simplify the expression.. 7x 8 6x 3 a. 42 x 5 b.
Algebra 2 Matrices. Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find.
Algebra 2 Matrices Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find. Evaluate the determinant of the matrix. 2. 3. A matrix contains 48 elements.
Sequences and Series Review
Sequences and Series Review 1. Consider the sequence 1,,,,... a. Describe the pattern formed in the sequence. b. Find the next three terms. 2. i.) Write a formula for the arithmetic sequence 6, 0, 6, 12,
Distributive Property, Expressions, and Equations Study Guide
Distributive Property, Expressions, and Equations Study Guide Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which word phrase could represent the variable
Alg 1B Chapter 7 Final Exam Review
Name: Class: Date: ID: A Alg B Chapter 7 Final Exam Review Please answer all questions and show your work. Simplify ( 2) 4. 2. Simplify ( 4) 4. 3. Simplify 5 2. 4. Simplify 9x0 y 3 z 8. 5. Simplify 7w0
Algebra 1 Final Exam Review
Algebra 1 Final Exam Review 2016-2017 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Katalin drove 230 miles on her vacation. She drove an average of
Review Algebra Test
Name: Class: Date: Review Algebra Test.4-2.3 Multiple Choice Identify the choice that best completes the statement or answers the question. Solve the equation.. 5y 9 (y ) a. 2 b. 2 2 c. 2 d. 2 5 Use an
Trigonometric Identity Practice
Trigonometric Identity Practice Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Identify the expression that completes the equation so that it is an identity.
AFM Review Test Review
Name: Class: Date: AFM Review Test Review Multiple Choice Identify the choice that best completes the statement or answers the question. What are the solutions of the inequality?. q + (q ) > 0 q < 3 q
Final Exam Review: Study Guide Math 3
Final Exam Review: Study Guide Math 3 Name: Day 1 Functions, Graphing, Regression Relation: Function: Domain: Range: Asymptote: Hole: Graphs of Functions f(x) = x f(x) = f(x) = x f(x) = x 3 Key Ideas Key
Algebra 1, Absolute Value Functions Review
Name: Class: Date: ID: A Algebra 1, Absolute Value Functions Review 3.7.1: I can solve absolute value equations. 1. (1 point) x + 10 = 1 2. (1 point) Starting from 1.5 miles away, a car drives towards
Polynomials Practice Test
Name: Class: Date: Polynomials Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. From the list, which terms are like 7x? 7x 2, 6x, 5, 8x, 7x,
PERT Practice Test #2
Class: Date: PERT Practice Test #2 Multiple Choice Identify the choice that best completes the statement or answers the question. Ê 1. What is the quotient of 6y 6 9y 4 + 12y 2 ˆ Ê 3y 2 ˆ? a. 2y 4 + 3y
Chapter 7 Review. Name: Class: Date: = = log log log log b. 7. log log x 6 log (x + 2)
Name: Class: Date: ID: A Chapter 7 Review Write the equation in logarithmic form. 1. 2 5 = 32 4 3 2. 125 = 625 Evaluate the logarithm. 3. log 5 1 625 4. log 3 243 5. log 0.01 Write the expression as a
ALGEBRA 1(A) Final Exam REVIEW
ALGEBRA 1(A) Final Exam REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. Write an algebraic expression for the phrase. 1. times the quantity q minus
AFM Unit 2A Review Sheet
AFM Unit A Review Sheet Multiple Choice Identif the choice that best completes the statement or answers the question. 1. Write the ordered pairs for the relation. Find the domain and range. O x {(, 5),
Name: Class: Date: Rationals Multiple Choice Pre-Test. Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: _ Class: _ Date: Rationals Multiple Choice Pre-Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1 Solve the equation for g: 3 2g + 1 6g = 3. - 5
Alg 1 Systems. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Class: Date: Alg 1 Systems Multiple Choice Identify the choice that best completes the statement or answers the question. What is the solution of the system? Use a graph. 1. y = x + 2 y = 3x 1 a. c. b.
Algebra 1 Chapter 3 Practice Test
Name: Class: Date: ID: A Algebra 1 Chapter 3 Practice Test Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. Which number is a solution of the
1. Simplify. 2. Simplify. 3. Simplify. 4. Solve the following equation for x.
Assignment 2 Unit 4 Rational Expressions Name: Multiple Choice Identify the choice that best completes the statement or answers the question. BE SURE TO SHOW ALL WORKINGS FOR MULTIPLE CHOICE. NO MARKS
Quadratics Unit Review
Name: Class: Date: Quadratics Unit Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. (2 points) Consider the graph of the equation y = ax 2 + bx +
Algebra 2 Spring 2015 Test 1
Name: Class: Date: Algebra 2 Spring 2015 Test 1 Multiple Choice (23 questions) Identify the choice that best completes the statement or answers the question on your scantron sheet. Do any scratch work
ALGEBRA 2 FINAL EXAM REVIEW
Class: Date: ALGEBRA 2 FINAL EXAM REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question.. Classify 6x 5 + x + x 2 + by degree. quintic c. quartic cubic d.
Pre-Algebra Unit 8 Practice Test: Ratios, Rates, & Proportions Answer Section
Pre-Algebra Unit 8 Practice Test: Ratios, Rates, & Proportions Answer Section MULTIPLE CHOICE 1. ANS: B PTS: 1 DIF: L2 REF: -1 Ratios and Unit Rates STA: CA 7.MG.1.1 CA 7.MG.1.3 CA 7.AF.4.2 TOP: -1 Example
Name: Class: Date: A. 70 B. 62 C. 38 D. 46
Class: Date: Test 2 REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Divide: (4x 2 49y 2 ) (2x 7y) A. 2x 7y B. 2x 7y C. 2x 7y D. 2x 7y 2. What is
Algebra II: Chapter 5 Review
Name: Class: Date: ID: A Algebra II: Chapter 5 Review Simplify the expression. Give your answer in exponential form. 1. 7 3 8 6 6 ˆ a. 56 54 b. 7 9 8 12 c. 56 15 36 d. 7 18 8 Simplify the expression. 2.
loose-leaf paper Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Class: Date: Algebra 2 Trig Midterm Exam Review 2014 loose-leaf paper Do all work in a neat and organzied manner on Multiple Choice Identify the choice that best completes the statement or answers the
Algebra 1a Final Exam Review
Algebra 1a Final Exam 2016-2017 Review Short Answer Graph the inequality. 1. x < 1 2. Solve the inequality. Then graph your solution. 3. 4. 5. 5 8 v < 7 5 6. 7. 8. 10 < 3x 7 < 17 9. Solve the inequality.
Exponential and Logarithmic Modeling
Exponential and Logarithmic Modeling Multiple Choice Identify the choice that best completes the statement or answers the question. 1. An initial population of 505 quail increases at an annual rate of
Honors Algebra 2 Quarterly #3 Review
Name: Class: Date: ID: A Honors Algebra Quarterly #3 Review Mr. Barr Multiple Choice Identify the choice that best completes the statement or answers the question. Simplify the expression. 1. (3 + i) +
Algebra 1 First Semester Exam Answer Section
Algebra 1 First Semester Exam Answer Section MULTIPLE CHOICE 1. ANS: D PTS: 1 DIF: Level B REF: MALG0086 TOP: Lesson 1.2 Apply Order of Operations KEY: whole variable evaluate substitute rational expression
Review Unit Multiple Choice Identify the choice that best completes the statement or answers the question.
Review Unit 3 1201 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which of the following numbers is not both a perfect square and a perfect cube? a. 531
Chapter 3 Algebra (pearson)
Class: Date: Chapter 3 Algebra (pearson) What inequality represents the verbal expression? 1. 8 less than a number n is less than 13 a. 8 n < 13 c. n 8 < 13 b. 13 8 < n d. 13 < 8 n Which number is a solution
Answer to chapter 1-4
Answer to chapter 1-4 MULTIPLE CHOICE 1. ANS: C Substitute each value for y into the equation. 22 = y 6 22 = 28 6? Substitute 28 for y. 22 = 22 So 28 is a solution. A B C D Feedback Check the sign of your
Chapter 6 Quiz. Name: Class: Date: Numeric Response
Name: Class: Date: Chapter 6 Quiz Numeric Response 1 Gridded Response Thomas has been offered two jobs. The first job pays $880.00 per week. The second job pays $790.00 per week plus 12% commission on
Math 521B Chapter 4 Test (33 marks) Name:
Math 521B Chapter 4 Test (33 marks) Name: Multiple Choice Identify the choice that best completes the statement or answers the question. (10 marks) 1. What are the x-intercepts of the quadratic function
Adding and Subtracting Rational Expressions. Add and subtract rational expressions with the same denominator.
Chapter 7 Section 7. Objectives Adding and Subtracting Rational Expressions 1 3 Add and subtract rational expressions with the same denominator. Find a least common denominator. Add and subtract rational
Moving Straight Ahead - Unit Test Review Sheet
Name: Class: Date: ID: A Moving Straight Ahead - Unit Test Review Sheet Short Answer 1. Use the graph at the right. a. Find the slope of the line. b. Find the equation of the line. 2. Does the table below
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
Algebra 2 Chapter 6 and 7 Test Review (part 1)
Name: Class: Date: Algebra 2 Chapter 6 and 7 Test Review (part ). Find the annual percent increase or decrease that y = 0.35(2.3) x models. a. 230% increase c. 35% decrease b. 35% increase d. 65% decrease
Midterm Review. Name: Class: Date: ID: A. Short Answer. 1. For each graph, write the equation of a radical function of the form y = a b(x h) + k.
Name: Class: Date: ID: A Midterm Review Short Answer 1. For each graph, write the equation of a radical function of the form y = a b(x h) + k. a) b) c) 2. Determine the domain and range of each function.
Divide and simplify. Assume that all variables are positive. Rationalize the denominator of the expression if necessary. pg.
Spring 011 Final Exam Review Show all work and answers on SEPARATE PAPER The review for the final must be completed b the date of the original final exam in order to be eligible for a reassessment in the
Moving Straight Ahead - Unit Test Review Sheet
Name: Class: Date: ID: A Moving Straight Ahead - Unit Test Review Sheet Short Answer 1. Brent's Video Shack charges $1.50 to rent a video game for a night. Mr. Buck's Entertainments opens a new store in
Say it with Symbols - Unit Test Review Shet
Name: Class: Date: ID: A Say it with Symbols - Unit Test Review Shet Short Answer 1. What does it mean to say that two algebraic expressions are equivalent? Evaluate the expression for the given value
Algebra 1 Chapter 8 Practice Test
Name: Class: Date: ID: A Algebra Chapter 8 Practice Test Simplify the expression.. ( 2.7) 0 a. 0 b. c. d. 2.7 2. (4) 2 a. 6. 2 2 0 2 0 4. 2k 8 k 5. (k 2 ) 4 6. 7. b. 6 c. 6 d. 8 a. 6 7 b. 728 7 c. d. 2
9-8 Completing the Square
In the previous lesson, you solved quadratic equations by isolating x 2 and then using square roots. This method works if the quadratic equation, when written in standard form, is a perfect square. When
Accentuate the Negative - Unit Test Review Sheet
Name: Class: _ Date: _ Accentuate the Negative - Unit Test Review Sheet Short Answer 1. A football team loses an average of 3 yards per play. How many yards have they lost after 4 plays? Write a number
Algebra 2 Summer Math Answer Section
Algebra 2 Summer Math Answer Section 1. ANS: A PTS: 1 DIF: Level B REF: MALG0064 STA: SC.HSCS.MTH.00.AL1.A1.I.C.4 TOP: Lesson 1.1 Evaluate Expressions KEY: word volume cube area solid 2. ANS: C PTS: 1
MATH 2413 TEST ON CHAPTER 4 ANSWER ALL QUESTIONS. TIME 1.5 HRS.
MATH 1 TEST ON CHAPTER ANSWER ALL QUESTIONS. TIME 1. HRS. M1c Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Use the summation formulas to rewrite the
ACCURACY AND PRECISION
Science, Measurement, and Uncertainty: Accuracy and Precision Name Period Date ACCURACY AND PRECISION Definitions: Accuracy how close a measurement is to Precision how close a measurement is to Precision
Algebra 2 Final Exam Review 2017
Algebra Final Exam Review 017 Multiple Choice Identif the choice that best completes the statement or answers the question. Suppose Q and R are independent events. Find P(Q and R). 1. P(Q) = 1, P(R) =
Chapter 1 Test Review
Name Per ID: A Chapter 1 Test Review Short Answer Insert , or = to make the sentence true. 1. 7 12 2. 5 9 1 8 3. 16 + 6 8 + 7 Name the property of real numbers illustrated by the equation. 4. 2(x +
Unit four review. Name: Class: Date: Short Answer
Name: Class: Date: ID: A Unit four review Short Answer 1. Graph the quadratic function y = 3x 2 6x + 5. Use the graph to determine the zeros of the function if they exist. 2. For what values of k does
Geometry Chapter 1-2 Exam
Name: Class: Date: ID: A Geometry Chapter 1-2 Exam Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Based on the pattern, what is the next figure in the
ID: A MATCHING MULTIPLE CHOICE
Chemistry-575 Semester-1 Review Practice Test (General review with an emphasis on the types of questions missed most frequently by students.) Answer Section MATCHING 1. ANS: B PTS: 1 DIF: L1 REF: p. 808
INTERMEDIATE ALGEBRA REVIEW FOR TEST 3
INTERMEDIATE ALGEBRA REVIEW FOR TEST 3 Evaluate the epression. ) a) 73 (-4)2-44 d) 4-3 e) (-)0 f) -90 g) 23 2-4 h) (-2)4 80 i) (-2)5 (-2)-7 j) 5-6 k) 3-2 l) 5-2 Simplify the epression. Write your answer
Chapter 1 Review - Challenge Pre-algebra
Name: Class: Date: ID: A Chapter 1 Review - Challenge Pre-algebra Evaluate the expression. 1. 12 8 + 20 8 2 a. 112 b. 102 c. 98 d. 54 2. 14 + 30 13 2 3. ( 6 7) 3 6 + 6 Add parentheses to make the statement
Algebra 2 Trig Final Exam Review
Name: Class: Date: Algebra Trig Final Exam Review 06-07 Multiple Choice Identify the choice that best completes the statement or answers the question.. 5 0 0 7 0 0 5 7 0 0 0 0 È 5 7 none of these. In May,
Abs.Value Equations/Inequalities, Direct Variation, and Parallel/Perpendicular Lines - QUIZ
Abs.Value Equations/Inequalities, Direct Variation, and Parallel/Perpendicular Lines - QUIZ Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which equation
Name: Class: Date: ID: A
Name: Class: Date: ID: A 6A Short Answer Solve the equation. 1.!5d! 24 =!4(d + 6)! d Write the inequality for the graph. 2. 3. 4. 5. Solve the inequality. 6. p + 7
Percent Problems. Percent problems can be solved using proportions. Use the following formula when solving percent problems with a proportion.
Percent Problems Percent problems can be solved using proportions. Use the following formula when solving percent problems with a proportion. The whole is the number after the word of. The percent is the
7th Grade Advanced Topic I Operations with Rational Numbers, MA.7.A.3.1, MA.7.A.3.2, MA.7.A.5.1
Name: Class: Date: ID: A 7th Grade Advanced Topic I Operations with Rational Numbers, MA.7.A.3.1, MA.7.A.3.2, MA.7.A.5.1 Multiple Choice Identify the choice that best completes the statement or answers
North Caroline Math 2 Transition Edition Unit 3 Assessment: Radical and Rational Functions
Class: Date: North Caroline Math 2 Transition Edition Unit 3 Assessment: Radical and Rational Functions Multiple Choice Identify the choice that best completes the statement or answers the question.. Evalue
0615a2. Algebra 2/Trigonometry Regents Exam x 2 y? 4 x. y 2. x 3 y
Algebra /Trigonometry Regents Exam 065 www.jmap.org 065a Which list of ordered pairs does not represent a one-to-one function? ) (, ),(,0),(,),(4,) ) (,),(,),(,4),(4,6) ) (,),(,4),(,),(4,) 4) (,5),(,4),(,),(4,0)
8th Grade Final Test - Review Sheet
Class: Date: 8th Grade Final Test - Review Sheet 1. Which equation has a slope of 2 and passes through the point (5, 0)? A. y = 2x + 5 B. y = 2x + 10 C. y = 2x + 5 D. y = 2x + 10 2. Which of the following
Algebra II Final Exam Semester II Practice Test
Name: Class: Date: Algebra II Final Exam Semester II Practice Test 1. (10 points) A bacteria population starts at,03 and decreases at about 15% per day. Write a function representing the number of bacteria
7.3 Adding and Subtracting Rational Expressions
7.3 Adding and Subtracting Rational Epressions LEARNING OBJECTIVES. Add and subtract rational epressions with common denominators. 2. Add and subtract rational epressions with unlike denominators. 3. Add
Algebra II - Chapter 2 Practice Test Answer Section
Algebra II - Chapter Practice Test Answer Section SHORT ANSWER 1. ANS: g(x) is f(x) translated 3 units left and units up. Because h = + 3, the graph is translated 3 units left. Because k = +, the graph
Unit 3: Review for Final Exam
Unit 3: Review for Final Exam Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Write the prime factorization of 1386. a. b. c. d. 2. Determine the greatest
Seminar Alg Basics. Name: Class: Date: ID: A. Multiple Choice Identify the choice that best completes the statement or answers the question.
Class: Date: Seminar Alg Basics Multiple Choice Identify the choice that best completes the statement or answers the question. Use a pattern to answer each question. 1. How many line segments are in figure
Name: Class: Date: Multiple Choice Identify the letter of the choice that best completes the statement or answers the question.
Class: Date: Ch 9a On-Line Test Multiple Choice Identif the letter of the choice that best completes the statement or answers the question. 1. Is the relationship between the variables in the table a direct
Sect Least Common Denominator
4 Sect.3 - Least Common Denominator Concept #1 Writing Equivalent Rational Expressions Two fractions are equivalent if they are equal. In other words, they are equivalent if they both reduce to the same
0613ia. Integrated Algebra Regents Exam Which expression represents 5 less than twice x? 1) 2) 3) 4)
0613ia 1 Which expression represents 5 less than twice x? 2 Gabriella has 20 quarters, 15 dimes, 7 nickels, and 8 pennies in a jar. After taking 6 quarters out of the jar, what will be the probability
Intermediate Mathematics Assessment. Sampler
Intermediate Mathematics Assessment Sampler Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which of the following is closest to the value of 0.82? a.
Final 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
Algebra II B Review 5
Algebra II B Review 5 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the measure of the angle below. y x 40 ο a. 135º b. 50º c. 310º d. 270º Sketch
m2413f 4. Suppose that and . Find the following limit b. 10 c. 3 d Determine the limit (if it exists). 2. Find the lmit. a. 1 b. 0 c. d.
m2413f Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find an equation of the line that passes through the point and has the slope. 4. Suppose that and
Adding and Subtracting Rational Expressions
Adding and Subtracting Rational Epressions As a review, adding and subtracting fractions requires the fractions to have the same denominator. If they already have the same denominator, combine the numerators
0113a2. Algebra 2/Trigonometry Regents Exam 0113
Algebra /Trigonometry Regents Exam 011 www.jmap.org 011a 1 What is the equation of the graph shown below? 4 What is the common ratio of the geometric sequence shown below?, 4, 8,16,... 1) 1 ) ) 4) 6 1)
Math 20-1 Functions and Equations Multiple Choice Questions
Math 0-1 Functions and Equations Multiple Choice Questions 1 7 18 simplifies to: A. 9 B. 10 C. 90 D. 4 ( x)(4 x) simplifies to: A. 1 x B. 1x 1 4 C. 1x D. 1 x 18 4 simplifies to: 6 A. 9 B. 4 C. D. 7 4 The
Math 9 Practice Test. Problem
Math 9 Practice Test Problem 1. The surface area of a metal tube must be coated with lubricant. Determine the total surface area that must be covered, to the nearest tenth of a square centimetre. 2. Bonnie
2.3 Solving Equations Containing Fractions and Decimals
2. Solving Equations Containing Fractions and Decimals Objectives In this section, you will learn to: To successfully complete this section, you need to understand: Solve equations containing fractions
Chapters 1 and 2 Test
Class: Date: Chapters 1 and 2 Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. 2r 9 6 Solve the inequality. Graph the solution set. a. r 1 1 2 c. r
Review for MA Final Exam
Review for MA 00 Final Eam Date Time Room Student ID Number (This will be needed on the scantron form for the eam.) Instructions for Students to get ID# a. Go to the IPFW website at www.@ ipfw.edu b. Log
CN#5 Objectives 5/11/ I will be able to describe the effect on perimeter and area when one or more dimensions of a figure are changed.
CN#5 Objectives I will be able to describe the effect on perimeter and area when one or more dimensions of a figure are changed. When the dimensions of a figure are changed proportionally, the figure will
Geometry CP - Ch. 4 Review
Geometry CP - Ch. 4 Review 1. If, which of the following can you NOT conclude as being true? A. B. C. D. 2. A. B. C. D. 3. Given and, find the length of QS and TV. A. 7 B. 25 C. 8 D. 2 4. The two triangles
Module 5 Study Guide--Linear Functions
Module Stud Guide--Linear Functions The rate of change is constant in the table. Find the rate of change. Explain what the rate of change means for the situation.. The table shows the cost of a ski rental
Chapter 4: Radicals and Complex Numbers
Section 4.1: A Review of the Properties of Exponents #1-42: Simplify the expression. 1) x 2 x 3 2) z 4 z 2 3) a 3 a 4) b 2 b 5) 2 3 2 2 6) 3 2 3 7) x 2 x 3 x 8) y 4 y 2 y 9) 10) 11) 12) 13) 14) 15) 16)
At the end of this section, you should be able to solve equations that are convertible to equations in linear or quadratic forms:
Equations in Linear and Quadratic Forms At the end of this section, you should be able to solve equations that are convertible to equations in linear or quadratic forms: Equations involving rational expressions
Alg 2 Mid Term Review
Name: Class: Date: ID: A Alg 2 Mid Term Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Solve 4x 2 5x 2 0. A x 5 8 7 8 C x 5 8 7 8 B x 5 8 7 8 i
Name: Class: Date: a. 0.9 b. 0.7 c. 0.5 d. 0.3
Name: Class: Date: Review Ch.. Suppose Q and R are independent events. Find P(Q and R). P(Q) = 0.39, P(R) = 0.85 a..24 b. 0.335 c. 0.46 d. 0.794 2. Two urns contain white balls and yellow balls. The first
Section 2.4: Add and Subtract Rational Expressions
CHAPTER Section.: Add and Subtract Rational Expressions Section.: Add and Subtract Rational Expressions Objective: Add and subtract rational expressions with like and different denominators. You will recall
Chapter 6: Rational Expr., Eq., and Functions Lecture notes Math 1010
Section 6.1: Rational Expressions and Functions Definition of a rational expression Let u and v be polynomials. The algebraic expression u v is a rational expression. The domain of this rational expression
MA 180 Lecture. Chapter 0. College Algebra and Calculus by Larson/Hodgkins. Fundamental Concepts of Algebra
0.) Real Numbers: Order and Absolute Value Definitions: Set: is a collection of objections in mathematics Real Numbers: set of numbers used in arithmetic MA 80 Lecture Chapter 0 College Algebra and Calculus
MATH 1314 Test 2 Review
Name: Class: Date: MATH 1314 Test 2 Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find ( f + g)(x). f ( x) = 2x 2 2x + 7 g ( x) = 4x 2 2x + 9
Sect Addition and Subtraction of Polynomials
Sect 5.5 - Addition and Subtraction of Polynomials Concept #1 Introduction to Polynomials Before we begin discussing polynomials, let s review some items from chapter 1 with the following example: Complete
Chapter 4: Rational Expressions and Equations
Chapter 4: Rational Expressions and Equations Section 4.1 Chapter 4: Rational Expressions and Equations Section 4.1: Equivalent Rational Expressions Terminology: Rational Expression: An algebraic fraction
0810a2. Algebra 2/Trigonometry Regents Exam In which graph is θ coterminal with an angle of 70?
Algebra /Trigonometry Regents Eam 080 www.jmap.org 080a The product of ( + 5 ) and ( 5 ) is 6 5 6 5 What is the radian measure of an angle whose measure is 0? 7π 5 In which graph is θ coterminal with an
Lesson
Lesson 28 Zeros of a function: - the inputs that make the function equal to zero (same values as the x- coordinates of the x-intercepts) o if ( ), ( ) when o zeros are 2 and - when a function is graphed,