Warm-Up Exercises. Daily Ho ework Quiz for use after Lesson 5.2, pages x = 0. Solve the equation.
|
|
- Terence Campbell
- 5 years ago
- Views:
Transcription
1 ! Date Warm-Up Exercises For use before Lesson 5.3, pages Availa le as a tran parency Solve the equation. 1. 5x - 3 = = ? Find the value of y when = 0,1, and y = -16* y = - ISx Daily Ho ework Quiz for use after Lesson 5.2, pages actor the quadra ic expression * x2 + 4.x * lo + 1 Solve x = x2 + llx + 3 = 2x2-3x Find the zeros of y = 8x2 18x. Chapters -Resource Book Copyright McOougal Utteiitac. A rights reserved.
2 Date Application Lesson Opener For use with pages Available as a transparency A number r is called a square root of s if r2 s. The notation 5 represents the positive s uare root of s. According to the Vickers scale, the hardness H of a mineral is determined by the formula Hd2 = 1.89, whe e d is the, de th. (in millimeters) of an indentation formed by hitting the ineral with a yra id-sha ed di nond. If you know H, you can use a square root to solve the equation for d. Here is how to find the de th of indentation for a mineral whose hardness is 131: Hd2 = d2= 1.89 d2=~ 131 d = ± Write the formula. Substitute 131 fo H. Divide each side by 131. Take square roots of each side. Use a calculator to find the positive square root. The depth of an indentation is about 0.12 millimeter. Use a calculator to find the depth of an indentation for each mineral. Round to the nearest hundredth of a millimeter. Lesson Co per: H = Galena: fl = 80. _ 3. Platinum: H = Gold: H Hematite: H = Graphite: H = 12 Copyright McOougal Littell Inc. Chapters Resource Book
3 * Practice A For use with pages Date Si plify the expression Vn loo 9. vf 8- Vir l 7? >" i /f Solve he equation ? x2 ~ 36 = = = xz *? = N)N> I U> II -* 3. a:2 + 2 = Jt S 2 1 = ~ il = *2 + 5 Find the time i takes an object to hit the ground when it is ropped from a height of $ feet. Use the falling-object mo el ft s-let2 + s = j = 160 * 30. s = 320 Use the Pythagorean theorem to fin x. Roun your ans er to the nearest hun redth. 33. Cost of a New Car From 1970 to 1990, the average cost of a new c r, C (in dollars), can be approximated by the model C = 30.5{2-4192, here t is the number of years since During which year was the average cost of a new car $12,000? Copyright McOougal Littel!!nc. Chapters Resource Book 41
4 < -: j i i t. f oirnpmy p ify fhe tneexpression. 4 g, 2 jg Solve the e uation. Practice B For use with pages VfSO 5. s IS * 5 / / 3 * V x2-81 == x = fx2-~ 8 =* = 3x (x2 + 4) = {x -f 3) (x--2)2 + 4 = 22. (2x -- 3)2 = f(x--4)2 = 8 3. V63 Date 6. lo B Sx1-180 = j 2 ~ 5 = (jc2-1) = (3 c + l)2 36 = l)'z-16 0 c w V) ".5» 25. Falling Object Use the falling-object model A = -16/2 + j where? is measured in seconds and h is measured in feet to find die time required for an object to reach the ground from a height of s = 100 feet and s feet. Does an object that is dropped from twice as high take twice as long to reach the ground? Explain your answer. 26. Track Registrations From 1990 to 1993, the number of truck registra tions (m millions) in the Unite States can be ap roximated by the model R = 0.29/2-45 ere t is t e u ber of ye rs si ce During, hich year were ap roximately million trucks re istered? Short Cut Suppose your house s on a large comer lot. The children i the neighbor ood cut across our la n, as shown in the figure at the right. The distance across the lawn is 35 feet. 27. Use t e Pythagorea theorem to find x. 28. Fin the distance the children would ave to travel if they did not cut across our la n. 29. How ma y feet do the children save by ta ing the short cut? Chapter s Resource Book Copyrigh McDougai Utteii Inc. All right reserved.
5 » - ' Reteaching with Practice DATE:,Yl ll i H : For use with pages \ Solve quadratic equations by finding square roots and use qua ratic e uations to solve real-life problems fcv Vocabulary If &2 = a, then bis a. square root of a. A positive number a has two square roots, and - a The symbol r- is a radical sign, a is the radic n, and Ja is a radical. Rationalizing the denominator is the rocess of eliminating square roots in the denominator of a fraction. Using Properties of Square Roots Simplify the expression. a. V99 = V9 VTT = 3 TT V 25 5 b. 6* 8 = 48 yi6*v = 4V3 d _ 6 5 _ 6V5 S 5 * Vs 5 Exercises forjexample 1 Simplify the expression. 1. V60 2. V2 * IS Solving a Quadratic Equation to w Solve 4 6 So ution ;C.. 0 V) Write original equation. r - ; 6 14 Add 4 to each side. 2 = 84 X = ±V84 X= ±2'V2l Multiply both sides by 6. Take square roots of both si es. Simplify. The solutions are 2V2T and 2V2T. ExercisesforJE 2 Solve the equation. 4. 4x2 5 = V ~ = 33 Cha ters Res urce Book Copyright McDoufial UttplHne
6 LESSON 0.0 Reteaching with Practice CONTINUED» For use with pages Date Solving a Quadratic Equation Solve 5(x-7)2 = ( 7)2 = 135 Write original equation. (x - 7)2-27 Divide both sides by 5. x-1 - ±V! Take the square roots of both sides. x l~± 3>/3 limplif. x l± 3 /3 Add 7 to both sides. The sol tions are 7-3-v/3 nd 7 3 /3. Exercises for Examftle 3 Solve the equation. 7. (y - 3) (r - 8) (w - l)2 = (x 3)2 = (x 3)2 = {z 4-3)2 5 Modeling a Falli g Objects Height with a Quadratic Functio A person is trapped in a building 120 feet above the ground a d wants to land on a rescue team s air cushon. How long before the person reaches safety? Solution Use the falling object model h~ - 16t2 + h0, where A is the height (in feet) of the object after t seconds and h0 is the object s initial height. 0 = -16*2-120 Substitute 1 0 for h0 and 0 for h. 120 = 16 2 Subtract 120 from each side. 120 = r2 Divide each side by -16, 16 Lesson 5-3 Take positive square root. 2,7 *= t Use a calc lator. The person will reach safety in about 2.7 seconds. misesfyrgantgled 13. A coyote is sta ding on a cliff 254 feet above a roadrunner. If the coyote drops a boulder from the cliff, how much time oes the roa runner have to move out of its way? 14. An apple falls from a branch on a tree 30 feet abov a man sleeping un e eath. When will the apple strike the man? Copyright McDougal Littell Inc.. Chapter ResqurceBook
Holt Algebra 1 Lesson 5 4
HOLT ALGEBRA 1 LESSON 5 4 PDF - Are you looking for holt algebra 1 lesson 5 4 Books? Now, you will be happy that at this time holt algebra 1 lesson 5 4 PDF is available at our online library. With our
More informationQuadratic Functions and Equations
Quadratic Functions and Equations Quadratic Graphs and Their Properties Objective: To graph quadratic functions of the form y = ax 2 and y = ax 2 + c. Objectives I can identify a vertex. I can grapy y
More information5-7 The Pythagorean Theorem
5-7 The Pythagorean Theorem Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up Classify each triangle by its angle measures. 1. 2. acute right 3. Simplify 12 4. If a = 6, b = 7, and c = 12, find
More informationWarm Up Lesson Presentation Lesson Quiz. Holt McDougal Algebra 1
8-7 Warm Up Lesson Presentation Lesson Quiz Algebra 1 Warm Up Find each square root. 1. 6 2. 11 3. 25 4. Solve each equation. x = 10 5. 6x = 60 6. 7. 2x 40 = 0 8. 5x = 3 x = 20 x = 80 Objective Solve quadratic
More information3.4 Solve Equations with Variables
3.4 Solve Equations with Variables on Both Sides Goal p Solve equations with variables on both sides. Your Notes VOCABULARY Identity Example 1 Solve 15 1 4a 5 9a 2 5. Solve an equation with variables on
More informationChapter 1.6. Perform Operations with Complex Numbers
Chapter 1.6 Perform Operations with Complex Numbers EXAMPLE Warm-Up 1 Exercises Solve a quadratic equation Solve 2x 2 + 11 = 37. 2x 2 + 11 = 37 2x 2 = 48 Write original equation. Subtract 11 from each
More informationWarm Up Lesson Presentation Lesson Quiz. Holt Algebra 2 2
8-8 Warm Up Lesson Presentation Lesson Quiz 2 Warm Up Simplify each expression. Assume all variables are positive. 1. 2. 3. 4. Write each expression in radical form. 5. 6. Objective Solve radical equations
More informationChapter 8 RADICAL EXPRESSIONS AND EQUATIONS
Name: Instructor: Date: Section: Chapter 8 RADICAL EXPRESSIONS AND EQUATIONS 8.1 Introduction to Radical Expressions Learning Objectives a Find the principal square roots and their opposites of the whole
More informationIntroductory Algebra Chapter 9 Review
Introductory Algebra Chapter 9 Review Objective [9.1a] Find the principal square roots and their opposites of the whole numbers from 0 2 to 2 2. The principal square root of a number n, denoted n,is the
More informationChapter 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)
More information8.2 Solving Quadratic Equations by the Quadratic Formula
Section 8. Solving Quadratic Equations by the Quadratic Formula 85 8. Solving Quadratic Equations by the Quadratic Formula S Solve Quadratic Equations by Using the Quadratic Formula. Determine the Number
More informationSkills Practice Skills Practice for Lesson 3.1
Skills Practice Skills Practice for Lesson.1 Name Date Get Radical or (Be)! Radicals and the Pythagorean Theorem Vocabulary Write the term that best completes each statement. 1. An expression that includes
More informationControlling the Population
Lesson.1 Skills Practice Name Date Controlling the Population Adding and Subtracting Polynomials Vocabulary Match each definition with its corresponding term. 1. polynomial a. a polynomial with only 1
More informationMAT 107 College Algebra Fall 2013 Name. Final Exam, Version X
MAT 107 College Algebra Fall 013 Name Final Exam, Version X EKU ID Instructor Part 1: No calculators are allowed on this section. Show all work on your paper. Circle your answer. Each question is worth
More informationMath 2 1. Lesson 4-5: Completing the Square. When a=1 in a perfect square trinomial, then. On your own: a. x 2 18x + = b.
Math 1 Lesson 4-5: Completing the Square Targets: I can identify and complete perfect square trinomials. I can solve quadratic equations by Completing the Square. When a=1 in a perfect square trinomial,
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 informationB. Complex number have a Real part and an Imaginary part. 1. written as a + bi some Examples: 2+3i; 7+0i; 0+5i
Section 11.8 Complex Numbers I. The Complex Number system A. The number i = -1 1. 9 and 24 B. Complex number have a Real part and an Imaginary part II. Powers of i 1. written as a + bi some Examples: 2+3i;
More informationLadies and Gentlemen: Please Welcome the Quadratic Formula!
Lesson.1 Skills Practice Name Date Ladies and Gentlemen: Please Welcome the Quadratic Formula! The Quadratic Formula Vocabulary Complete the Quadratic Formula. Then, identify the discriminant and explain
More informationQuiz # 6 Date: Name. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Quiz # 6 Date: Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find all numbers not in the domain of the function. ) f(x) = x + None - 0 ) )
More informationPowers, Roots and Radicals. (11) Page #23 47 Column, #51, 54, #57 73 Column, #77, 80
Algebra 2/Trig Unit Notes Packet Name: Period: # Powers, Roots and Radicals () Homework Packet (2) Homework Packet () Homework Packet () Page 277 # 0 () Page 277 278 #7 6 Odd (6) Page 277 278 #8 60 Even
More informationFinal Exam Review for DMAT 0310
Final Exam Review for DMAT 010 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Factor the polynomial completely. What is one of the factors? 1) x
More informationIntegrated II: Unit 2 Study Guide 2. Find the value of s. (s - 2) 2 = 200. ~ :-!:[Uost. ~-~::~~n. '!JJori. s: ~ &:Ll()J~
Name: 1. Find the value of r., (r + 4) 2 = 48 4_ {1 1:. r l f 11i),_ == :r (t~ : t %J3 (t:; KL\J5 ~ ~ v~~f3] ntegrated : Unit 2 Study Guide 2. Find the value of s. (s 2) 2 = 200 ~ :!:[Uost ~~::~~n '!JJori
More informationHonors Pre-Calculus. Multiple Choice 1. An expression is given. Evaluate it at the given value
Honors Pre-Calculus Multiple Choice. An epression is given. Evaluate it at the given value, (A) (B) 9 (C) 9 (D) (E). Simplif the epression. (A) + (B) (C) (D) (E) 7. Simplif the epression. (A) (B) (C) (D)
More informationChapter 1 Notes: Quadratic Functions
19 Chapter 1 Notes: Quadratic Functions (Textbook Lessons 1.1 1.2) Graphing Quadratic Function A function defined by an equation of the form, The graph is a U-shape called a. Standard Form Vertex Form
More informationx (vertex is halfway between the x-intercepts)
Big Idea: A quadratic equation in the form a b c 0 has a related function f ( ) a b c. The zeros of the function are the -intercepts of its graph. These -values are the solutions or roots of the related
More informationExponents 4-1. Lesson Objectives. Vocabulary. Additional Examples. Evaluate expressions with exponents. exponential form (p. 162) exponent (p.
LESSON 4-1 Exponents Lesson Objectives Evaluate expressions with exponents Vocabulary exponential form (p. 16) exponent (p. 16) base (p. 16) power (p. 16) Additional Examples Example 1 Write in exponential
More informationProperties of Radicals
9. Properties of Radicals Essential Question How can you multiply and divide square roots? Operations with Square Roots Work with a partner. For each operation with square roots, compare the results obtained
More informationSection 5.5 Complex Numbers
Name: Period: Section 5.5 Comple Numbers Objective(s): Perform operations with comple numbers. Essential Question: Tell whether the statement is true or false, and justify your answer. Every comple number
More informationThe Quadratic Formula
- The Quadratic Formula Content Standard Reviews A.REI..b Solve quadratic equations by... the quadratic formula... Objectives To solve quadratic equations using the Quadratic Formula To determine the number
More informationExercise Set 6.2: Double-Angle and Half-Angle Formulas
Exercise Set : Double-Angle and Half-Angle Formulas Answer the following π 1 (a Evaluate sin π (b Evaluate π π (c Is sin = (d Graph f ( x = sin ( x and g ( x = sin ( x on the same set of axes (e Is sin
More informationMath 110 Final Exam Review Revised December 2015
Math 110 Final Exam Review Revised December 2015 Factor out the GCF from each polynomial. 1) 60x - 15 2) 7x 8 y + 42x 6 3) x 9 y 5 - x 9 y 4 + x 7 y 2 - x 6 y 2 Factor each four-term polynomial by grouping.
More information9-8 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
More informationAlgebra 1B Final Review
Name: Class: Date: ID: A Algebra 1B Final Review Short Answer 1. Originally a rectangle was twice as long as it was wide. When 5 m was subtracted from its length and 3 m subtracted from its width, the
More informationDue for this week. Slide 2. Copyright 2009 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
MTH 09 Week 3 Due for this week Homework 3 (on MyMathLab via the Materials Link) The fifth night after class at 11:59pm. Read Chapter 6.6, 8.4 and 11.1-11.5 Do the MyMathLab Self-Check for week 3. Learning
More informationWhat You ll Learn. or irrational. New Vocabulary perfect square, square root, irrational numbers, real numbers. Why Learn This?
-. Plan - Exploring Square Roots and Irrational Numbers Objective To find and estimate square roots and to classify numbers as rational or irrational Examples Finding Square Roots of Perfect Squares Estimating
More informationSection 7.1 Rational Functions and Simplifying Rational Expressions
Beginning & Intermediate Algebra, 6 th ed., Elayn Martin-Gay Sec. 7.1 Section 7.1 Rational Functions and Simplifying Rational Expressions Complete the outline as you view Video Lecture 7.1. Pause the video
More informationRadical Zeros. Lesson #5 of Unit 1: Quadratic Functions and Factoring Methods (Textbook Ch1.5)
Radical Zeros Lesson #5 of Unit 1: Quadratic Functions and Factoring Methods (Textbook Ch1.5) Learner Goals 1. Evaluate and approximate square roots 2. Solve quadratic equations by finding square roots.
More informationObjectives To solve quadratic equations using the quadratic formula To find the number of solutions of a quadratic equation
9-6 The Quadratic Formula and the Discriminant Content Standards A.REI..a Use the method of completing the square to transform an quadratic equation in into an equation of the form ( p) 5 q... Derive the
More informationThe Quadratic Formula VOCABULARY
- The Quadratic Formula TEKS FOCUS TEKS ()(F) Solve quadratic and square root equations. TEKS ()(G) Display, eplain, and justify mathematical ideas and arguments using precise mathematical language in
More informationSolving Equations with the Quadratic Formula
0 Solving Equations with the Quadratic Formula In this chapter, you will have the opportunity to practice solving equations using the quadratic formula. In Chapter 17, you practiced using factoring to
More informationMaintaining Mathematical Proficiency
Chapter Maintaining Mathematical Proficiency Simplify the expression. 1. 8x 9x 2. 25r 5 7r r + 3. 3 ( 3x 5) + + x. 3y ( 2y 5) + 11 5. 3( h 7) 7( 10 h) 2 2 +. 5 8x + 5x + 8x Find the volume or surface area
More information4.1 Solving Systems of Equations Graphically. Draw pictures to represent the possible number of solutions that a linear-quadratic system can have:
4.1 Solving Systems of Equations Graphically Linear- Quadratic A Linear-Quadratic System of Equations is a linear equation and a quadratic equation involving the same two variables. The solution(s) to
More informationMAT Intermediate Algebra - Final Exam Review Textbook: Beginning & Intermediate Algebra, 5th Ed., by Martin-Gay
MAT0 - Intermediate Algebra - Final Eam Review Tetbook: Beginning & Intermediate Algebra, 5th Ed., by Martin-Gay Section 2. Solve the equation. ) 9 - ( - ) = 2 Section 2.8 Solve the inequality. Graph the
More informationMath 110 Final Exam Review Revised October 2018
Math 110 Final Exam Review Revised October 2018 Factor out the GCF from each polynomial. 1) 60x - 15 2) 7x 8 y + 42x 6 3) x 9 y 5 - x 9 y 4 + x 7 y 2 - x 6 y 2 Factor each four-term polynomial by grouping.
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Algebraic Concepts Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the inequality. ) - - 0x - -x - ) A) x > -0 B) x < -0 C) x 0 D) x
More informationSolve Quadratic Equations by Completing the Square
10.5 Solve Quadratic Equations by Completing the Square Before You solved quadratic equations by finding square roots. Now You will solve quadratic equations by completing the square. Why? So you can solve
More information1. Simplify by performing the indicated operation: (4 + 8i)(8 + i).
WSU CE Math 1010 REAL Final Review Read each question carefully and show all your work to receive full credit for your answers. The use of a scientific calculator is allowed. 1. Simplify by performing
More informationAlgebra 1. Unit 3: Quadratic Functions. Romeo High School
Algebra 1 Unit 3: Quadratic Functions Romeo High School Contributors: Jennifer Boggio Jennifer Burnham Jim Cali Danielle Hart Robert Leitzel Kelly McNamara Mary Tarnowski Josh Tebeau RHS Mathematics Department
More informationSystems of Linear and Quadratic Equations. Check Skills You ll Need. y x. Solve by Graphing. Solve the following system by graphing.
NY- Learning Standards for Mathematics A.A. Solve a sstem of one linear and one quadratic equation in two variables, where onl factoring is required. A.G.9 Solve sstems of linear and quadratic equations
More informationLesson 2: Introduction to Variables
In this lesson we begin our study of algebra by introducing the concept of a variable as an unknown or varying quantity in an algebraic expression. We then take a closer look at algebraic expressions to
More informationSkills Practice Skills Practice for Lesson 4.1
Skills Practice Skills Practice for Lesson.1 Name Date Thinking About Numbers Counting Numbers, Whole Numbers, Integers, Rational and Irrational Numbers Vocabulary Define each term in your own words. 1.
More informationHolt Mcdougal Algebra 1 Answer Key Prbonn
HOLT MCDOUGAL ALGEBRA 1 ANSWER KEY PRBONN PDF - Are you looking for holt mcdougal algebra 1 answer key prbonn Books? Now, you will be happy that at this time holt mcdougal algebra 1 answer key prbonn PDF
More informationSolve. Label any contradictions or identities. 1) -4x + 2(3x - 3) = 5-9x. 2) 7x - (3x - 1) = 2. 3) 2x 5 - x 3 = 2 4) 15. 5) -4.2q =
Spring 2011 Name Math 115 Elementary Algebra Review Wednesday, June 1, 2011 All problems must me done on 8.5" x 11" lined paper. Solve. Label any contradictions or identities. 1) -4x + 2(3x - 3) = 5-9x
More informationLesson 2: Introduction to Variables
In this lesson we begin our study of algebra by introducing the concept of a variable as an unknown or varying quantity in an algebraic expression. We then take a closer look at algebraic expressions to
More information12-1 Graphing Linear Equations. Warm Up Problem of the Day Lesson Presentation. Course 3
Warm Up Problem of the Day Lesson Presentation Warm Up Solve each equation for y. 1. 6y 1x = 4. y 4x = 0 3. y 5x = 16 4. 3y + 6x = 18 y = x + 4 y = x 10 y = 5 x + 8 y = x + 6 Problem of the Day The same
More informationNOTES: Chapter 11. Radicals & Radical Equations. Algebra 1B COLYER Fall Student Name:
NOTES: Chapter 11 Radicals & Radical Equations Algebra 1B COLYER Fall 2016 Student Name: Page 2 Section 3.8 ~ Finding and Estimating Square Roots Radical: A symbol use to represent a. Radicand: The number
More informationChapter 12 Final Review
Chapter 12 Final Review Simplify the rational expression. 1. 2. 3. 4. 5. 6. 7. Multiply. 8. 9. 10. 11. 12. Divide. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. Add or subtract. 24. 25. 26. 27. 28. 29. Find
More informationChapter 4: Radicals and Complex Numbers
Chapter : Radicals and Complex Numbers Section.1: A Review of the Properties of Exponents #1-: Simplify the expression. 1) x x ) z z ) a a ) b b ) 6) 7) x x x 8) y y y 9) x x y 10) y 8 b 11) b 7 y 1) y
More informationIntermediate Algebra Final Exam Review
Intermediate Algebra Final Exam Review Note to students: The final exam for MAT10, MAT 11 and MAT1 will consist of 30 multiple-choice questions and a few open-ended questions. The exam itself will cover
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 U-shaped graph
More informationx 2 20x x 10 0 x 10 2x 2 5x 12 2 x x x x Lesson 6.1 Activity (p. 323) 1. 7; 2. a. b. c. d.
CHAPTER Think & Discuss (p. ). about seconds Speed (ft/sec) Shuttle Speed After Launch Time (sec). A quadratic function would be a good model because the data lies on a curve... ± ± or Skill Review (p.
More informationMATH 125 ELAC SPRING 2018 TEST 2 REVIEW SHEET NAME: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
MATH 125 ELAC SPRING 2018 TEST 2 REVIEW SHEET NAME: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve. 1) 5x + 5 + 3 = 12 1) 2) 3 5x + 4 + 5 = 0 2)
More information150. a. Clear fractions in the following equation and write in. b. For the equation you wrote in part (a), compute. The Quadratic Formula
75 CHAPTER Quadratic Equations and Functions Preview Eercises Eercises 8 50 will help you prepare for the material covered in the net section. 8. a. Solve by factoring: 8 + - 0. b. The quadratic equation
More informationLesson
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,
More information4.1 Graphical Solutions of Quadratic Equations Date:
4.1 Graphical Solutions of Quadratic Equations Date: Key Ideas: Quadratic functions are written as f(x) = x 2 x 6 OR y = x 2 x 6. f(x) is f of x and means that the y value is dependent upon the value of
More informationy = 5 x. Which statement is true? x 2 6x 25 = 0 by completing the square?
Algebra /Trigonometry Regents Exam 064 www.jmap.org 064a Which survey is least likely to contain bias? ) surveying a sample of people leaving a movie theater to determine which flavor of ice cream is the
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 informationAlgebra 2-2nd Semester Exam Review 11
Algebra 2-2nd Semester Eam Review 11 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Determine which binomial is a factor of. a. 14 b. + 4 c. 4 d. + 8
More informationWarm Up Lesson Presentation Lesson Quiz. Holt Algebra McDougal 1 Algebra 1
1-3 Warm Up Lesson Presentation Lesson Quiz Holt Algebra McDougal 1 Algebra 1 Warm Up Evaluate each expression. 1. ( 7)(2.8) 19. 2. 0.9 3. ( 9)( 9) 0.1 81 4. 5.. 1 2 3 1.8 Objective Solve one-step equations
More informationNote-Taking Guides. How to use these documents for success
1 Note-Taking Guides How to use these documents for success Print all the pages for the module. Open the first lesson on the computer. Fill in the guide as you read. Do the practice problems on notebook
More information= 9 = x + 8 = = -5x 19. For today: 2.5 (Review) and. 4.4a (also review) Objectives:
Math 65 / Notes & Practice #1 / 20 points / Due. / Name: Home Work Practice: Simplify the following expressions by reducing the fractions: 16 = 4 = 8xy =? = 9 40 32 38x 64 16 Solve the following equations
More informationWrite an equation for each relationship. Then make a table of input-output pairs and tell whether the function is proportional.
Functions Reteaching 41 Math Course, Lesson 41 A function is a rule that identifies a relationship between a set of input numbers and a set of output numbers. A function rule can be described in words,
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 informationLesson 2: Introduction to Variables
Lesson 2: Introduction to Variables Topics and Objectives: Evaluating Algebraic Expressions Some Vocabulary o Variable o Term o Coefficient o Constant o Factor Like Terms o Identifying Like Terms o Combining
More informationChapter 7 Review Sections labeled at the start of the related problems
Chapter 7 Review Sections labeled at the start of the related problems.6 State whether the equation is an example of the product rule, the quotient rule, the power rule, raising a product to a power, or
More informationIrrational Numbers Study Guide
Square Roots and Cube Roots Positive Square Roots A positive number whose square is equal to a positive number b is denoted by the symbol b. The symbol b is automatically denotes a positive number. The
More information7.4 Adding, Subtracting, and Multiplying Radical Expressions. OBJECTIVES 1 Add or Subtract Radical Expressions. 2 Multiply Radical Expressions.
CHAPTER 7 Rational Exponents, Radicals, and Complex Numbers Find and correct the error. See the Concept Check in this section. 11. 116. 6 6 = 6 A6 = 1 = 1 16 = 16 A = Simplify. See a Concept Check in this
More informationNew Vocabulary equivalent inequalities. x 1 4, 7 and x, 3 are equivalent inequalities.
-. Plan - Solving Inequalities Using Addition and Subtraction Objectives To use addition to solve To use subtraction to solve Eamples Using the Addition Property of Inequality Solving and Checking Solutions
More informationcorrelated to the Idaho Content Standards Algebra II
correlated to the Idaho Content Standards Algebra II McDougal Littell Algebra and Trigonometry: Structure and Method, Book 2 2000 correlated to the Idaho Content Standards Algebra 2 STANDARD 1: NUMBER
More informationIntroduction. km s. min
1 Introduction ANSWERS TO WARM-UP EXERCISES 1. (a) The number given, 568 017, has six significant figures, which we will retain in converting the number to scientific notation. Moving the decimal five
More informationWhy? 2 3 times a week. daily equals + 8_. Thus, _ 38 or 38% eat takeout more than once a week. c + _ b c = _ a + b. Factor the numerator. 1B.
Then You added and subtracted polynomials. (Lesson 7-5) Now Add and subtract rational epressions with like denominators. 2Add and subtract rational epressions with unlike denominators. Adding and Subtracting
More informationSolving Quadratics by Factoring and Taking Square Roots Worksheet
Algebra 1 10.3 and 10.4 Part 3 Worksheet Name: Hour: Solving Quadratics by Factoring and Taking Square Roots Worksheet 1. Match each graph n,ith its function. A. ftx) =.v2 I B. AO x2 A- 4 C. Pa') = x2
More informationNAME DATE PERIOD. A negative exponent is the result of repeated division. Extending the pattern below shows that 4 1 = 1 4 or 1. Example: 6 4 = 1 6 4
Lesson 4.1 Reteach Powers and Exponents A number that is expressed using an exponent is called a power. The base is the number that is multiplied. The exponent tells how many times the base is used as
More informationIntermediate Algebra Sample Final Exam Fall 2016
Intermediate Algebra Sample Final Exam Fall 2016 You will have 2 hours to complete this exam. You may use a calculator (TI-84 or lower, no cell phones) but must show all algebraic work in the space provided
More informationPERT 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
More informationAdditional Exercises 10.1 Form I Solving Quadratic Equations by the Square Root Property
Additional Exercises 10.1 Form I Solving Quadratic Equations by the Square Root Property Solve the quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators.
More informationEXAMPLE EXAMPLE. Simplify. Simplify each expression. See left. EXAMPLE Real-World Problem Solving EXAMPLE. Write = xa1 1!5 B = 162 Cross multiply.
-. Plan Lesson Preview Check Skills You ll Need Operations With Radical Epressions Lesson -: Eamples,, 7 Eercises, Etra Practice, p. 7 Lesson Preview What You ll Learn - To simplify sums and differences
More informationSimplifying Radicals. multiplication and division properties of square roots. Property Multiplication Property of Square Roots
10-2 Simplifying Radicals Content Standard Prepares for A.REI.2 Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise. Objective To simplify
More informationName: Period: Unit 3 Modeling with Radical and Rational Functions
Name: Period: Unit Modeling with Radical and Rational Functions 1 Equivalent Forms of Exponential Expressions Before we begin today s lesson, how much do you remember about exponents? Use expanded form
More information7.2 Rational Exponents
Section 7.2 Rational Exponents 49 7.2 Rational Exponents S Understand the Meaning of a /n. 2 Understand the Meaning of a m/n. 3 Understand the Meaning of a -m/n. 4 Use Rules for Exponents to Simplify Expressions
More informationALGEBRA. COPYRIGHT 1996 Mark Twain Media, Inc. ISBN Printing No EB
ALGEBRA By Don Blattner and Myrl Shireman COPYRIGHT 1996 Mark Twain Media, Inc. ISBN 978-1-58037-826-0 Printing No. 1874-EB Mark Twain Media, Inc., Publishers Distributed by Carson-Dellosa Publishing Company,
More informationSection 1.7: Solving Equations by Factoring
Objective: Solve equations by factoring and using the zero product rule. When solving linear equations such as x 5 1, we can solve for the variable directly by adding 5 and dividing by to get 1. However,
More informationALGEBRA 1B GOALS. 1. The student should be able to use mathematical properties to simplify algebraic expressions.
GOALS 1. The student should be able to use mathematical properties to simplify algebraic expressions. 2. The student should be able to add, subtract, multiply, divide, and compare real numbers. 3. The
More informationRadical Equations and Inequalities
16 LESSON Radical Equations and Inequalities Solving Radical Equations UNDERSTAND In a radical equation, there is a variable in the radicand. The radicand is the expression inside the radical symbol (
More information9.4 Start Thinking. 9.4 Warm Up. 9.4 Cumulative Review Warm Up. Use a graphing calculator to graph ( )
9.4 Start Thinking Use a graphing calculator to graph ( ) f x = x + 4x 1. Find the minimum of the function using the CALC feature on the graphing calculator. Explain the relationship between the minimum
More informationSAMPLE. The SSAT Course Book MIDDLE & UPPER LEVEL QUANTITATIVE. Focusing on the Individual Student
The SSAT Course Book MIDDLE & UPPER LEVEL QUANTITATIVE Focusing on the Individual Student Copyright Statement The SSAT Course Book, along with all Summit Educational Group Course Materials, is protected
More informationHonors Math 2 Unit 5 Exponential Functions. *Quiz* Common Logs Solving for Exponents Review and Practice
Honors Math 2 Unit 5 Exponential Functions Notes and Activities Name: Date: Pd: Unit Objectives: Objectives: N-RN.2 Rewrite expressions involving radicals and rational exponents using the properties of
More information1a States correct answer: 5.3 (m s 1 ) B1 2.2a 4th Understand the difference between a scalar and a vector. Notes
1a States correct answer: 5.3 (m s 1 ) B1.a 4th Understand the difference between a scalar and a vector. 1b States correct answer: 4.8 (m s 1 ) B1.a 4th Understand the difference between a scalar and a
More informationConstant acceleration, Mixed Exercise 9
Constant acceleration, Mixed Exercise 9 a 45 000 45 km h = m s 3600 =.5 m s 3 min = 80 s b s= ( a+ bh ) = (60 + 80).5 = 5 a The distance from A to B is 5 m. b s= ( a+ bh ) 5 570 = (3 + 3 + T ) 5 ( T +
More informationUnit #6 Basic Integration and Applications Homework Packet
Unit #6 Basic Integration and Applications Homework Packet For problems, find the indefinite integrals below.. x 3 3. x 3x 3. x x 3x 4. 3 / x x 5. x 6. 3x x3 x 3 x w w 7. y 3 y dy 8. dw Daily Lessons and
More information