Semester 2 Review Problems will be sectioned by chapters. The chapters will be in the order by which we covered them.
|
|
- Clemence Walton
- 5 years ago
- Views:
Transcription
1 Semester 2 Review Problems will be sectioned by chapters. The chapters will be in the order by which we covered them. Chapter 9 and 10: Right Triangles and Trigonometric Ratios 1. The hypotenuse of a right triangle measures 8.4 meters. One leg measures 6 meters. To the nearest tenth of a meter, what is the length of the other leg? 2. The measures of the side lengths of a triangle are 15, 32, and 34. Classify the triangle as acute, right, or obtuse Find the unknown side length Find the missing side. Are they a Pythagorean Triple? 8. Draw a triangle with the relationship of the side lengths. 9. Draw a triangle with the relationship of the side lengths. 10. The hypotenuse of an isosceles right triangle is 54 units. To the nearest tenth, what is the length of one of the legs? 11. The longest side of a triangle measures 8. What is the length of the longer leg? Leave your answer in simplest radical form. 12. Use a special right triangle to write sin 60⁰ as a fraction. 13. Use your calculator to find the trigonometric ratios sin(79 ), cos(47 ), tan(77 ). Round to the nearest tenth. 14. Use your calculator to find the angle measures sin -1 (0.7), cos -1 (0.3), tan -1 (38.4). Round to the nearest tenth. 15. Find the values of x and y in simplest radical form. 16. Find the value of x in simplest radical form. 17. Write the trigonometric ratios as a fraction and as a decimal rounded to the nearest hundredth. sin A = cos B = tan A = 18. Find the length of x and y. Round to the nearest hundredth.
2 19. Find the length of x for each triangle. Round to the nearest hundredth for side lengths and nearest degree for angles. Chapter 12: Circles 20. Find the area of circle E in terms of pi. 21. Identify the chords, tangent, radii, secant, and diameter in the circle below. 22. Find the length of each radius. Identify the point of tangency and write the equation of the tangent line at that point. 23. Segments LM and NM are tangent to circle K. 24. Find each measure. Find LM. a) mcde b) mbcd
3 27. Segment QR is tangent to circle P. QR = 18 and PS = 11. a) Find m PRQ b) Find SR. Round your answer to the nearest tenths place. 28. Find NP. 29. Find the area of the shaded sector. Give your answer in terms of pi and rounded to the nearest hundredths place. 30. Find the area of the shaded segment to the nearest hundredth. 31. Find the area of a segment of a circle, if the central angle is 60 and the radius is 8 cm. Round your answer to the nearest hundredths place. 32. Find the arc length of an arc with measure 44 degrees in a circle with diameter 10 in. Give your answer in terms of pi and rounded to the nearest hundredth. 33. Find each measure. a) b) c) Chapter 15: Quadratic Functions For each function (on the next page): - state what form the function is in - convert to the other two forms - determine whether the graph opens upward or downward - find the vertex - find the axis of symmetry - find the minimum or maximum - find the y-intercept - find the x-intercept(s) - find the domain and range - increasing and decreasing interval - graph the function on a piece of graph paper
4 34. f(x) = -x 2 + 2x h(x) = -3(x - 6) f(x) = (x + 4)(x 3) 37. g(x) = 2x 2 8x 38. h(x) = x x t(x) = 2x 2-16x j(x) = x 2 6x g(x) = (x + 3) f(x) = -3(x + 5)(x + 1) 43. Name the following polynomials by their name and their degree. (a) 4x 5 + 7x 2 (b) -3x 3 + 5x (c) 15 (d) 0.5x + 4x A shot-put throw can be modeled using the equation f(x) = x x + 5.5, where x is distance traveled (in feet) and f(x) is the height (also in feet). Graph the function using your graphing calculator. How long was the throw? What height is the shot (the metal ball) at right when the thrower releases it? A soccer ball bounces straight up into the air off of the head of a soccer player at a height of 4 feet with an initial velocity of 36 feet per second. The height of the ball can be represented by: h(t) = -16t t + 4 Graph the function using your graphing calculator. When does the soccer ball hit the ground? At what time does the soccer ball reach its highest point? What is the maximum height of the soccer ball? Chapter 14: Factoring 45. Factor x 2 + 8x Factor 6x 2-11x Factor x 2-13x Factor -3x x Factor x 2-2x Factor 2x x Factor x Factor 5x x 2-100x 53. Determine if the trinomial is a perfect square. If so, factor it. If not, explain why. 9x x Determine if the trinomial is a perfect square. If so, factor it. If not, explain why. 25x x Determine whether the binomial is a difference of two squares. If so, factor it. If not, explain why. x Determine whether the binomial is a difference of two squares. If so, factor it. If not, explain why x The area of a rectangle is 12x 2 8x 15. The width is (2x 3). What is the length of the rectangle?
5 Chapter 16: Solving Quadratic Functions 58. Find the zeros of f(x) = x 2 + 2x 3 by graphing. 59. Find the zeros of f(x) = x 2-8x + 12 by factoring. 60. Find the zeros of g(x) = 3x x by factoring. 61. A toy rocket is launched from ground level with an initial vertical velocity of 80 ft/s. When will the rocket hit the ground? 62. Another toy rocket is launched. However, this time the toy rocket is launched from the roof of a building that is 20 feet tall. The toy rocket s initial velocity is 76 ft/s. 63. Write a quadratic function in standard form with zeros 4 and Write a quadratic function in standard form with zeros 3 and Find the roots of 16x 2 = 1 by factoring. 66. Find the roots of 40x = 8x by factoring. 67. Find the roots of x 2-4x = -4 by factoring. 68. Solve 6x 2 = 96 by square roots. 69. Solve x 2 10x + 25 = 27 by square roots. 70. Solve 2x = -31 by square roots. 71. Solve x 2-2 = 9x by completing the square. 72. Solve x 2 6x = 40 by completing the square. 73. Solve g(x) = x 2 + 7x + 15 by quadratic formula. 74. Solve g(x) = 2x 2-10x + 18 by quadratic formula. 75. Find the number and type of solutions for 2x = 2x. 76. Find the number and type of solutions for 4x 2 28x = One leg of a right triangle is 6 inches longer than the other leg. The hypotenuse of the triangle is 25 inches. What is the length of each leg to the nearest inch? 78. A pebble is tossed from the top of a cliff. The pebble s height is given by y(t) = 16t , where t is the time in seconds. Its horizontal distance in feet from the base of the cliff is given by d(t) = 7t. How far will the pebble be from the base of the cliff when it hits the ground? Chapter 13: Complex Numbers 79. Express 3 16 number in terms of i. 80. Express 8 84 number in terms of i. 81. Solve for x: 2x = 0
6 82. Solve for x: x 2 + 2x = Write the complex conjugate of i. 84. Write the complex conjugate of 15 - i. 85. Write the complex conjugate of 13i. 86. Find the values of x and y that make the equation true. -2x + 6i = -14 (24y)i 87. Add (-2 + 4i) + (3-11i). Write in the form a + bi. 88. Subtract (4 - i) - (5 + 8i). Write in the form a + bi. 89. Add (6-2i) + (-6 + 2i). Write in the form a + bi. 90. Subtract (10 + 3i) - (10-4i). Write in the form a + bi. 91. Find the absolute value of -9 + i 92. Find the absolute value of -4i 93. Multiply 2i(3-5i). Write the result in the form a + bi. 94. Multiply (5-6i)(4-3i). Write the result in the form a + bi. 95. Divide 6+i. Write the result in the form a + bi. 4 i 96. Divide 10+22i. Write the result in the form a + bi. 2+3i 97. Simplify -4i Simplify 6i i Sketch a graph of the complex plane. Label your axes. Then, plot the following points. A. 3i B. -5i C. 4 + i D. 2 6i E i F. -6 3i 100. Find the sum of the following complex numbers by graphing: (5 + 4i) + (-1 + 2i)
Semester 2 Review Problems will be sectioned by chapters. The chapters will be in the order by which we covered them.
Semester 2 Review Problems will be sectioned by chapters. The chapters will be in the order by which we covered them. Chapter 9 and 10: Right Triangles and Trigonometric Ratios 1. The hypotenuse of a right
More informationGeometry- Unit 6 Notes. Simplifying Radicals
Geometry- Unit 6 Notes Name: Review: Evaluate the following WITHOUT a calculator. a) 2 2 b) 3 2 c) 4 2 d) 5 2 e) 6 2 f) 7 2 g) 8 2 h) 9 2 i) 10 2 j) 2 2 k) ( 2) 2 l) 2 0 Simplifying Radicals n r Example
More informationEXERCISE SET 10.2 MATD 0390 DUE DATE: INSTRUCTOR
EXERCISE SET 10. STUDENT MATD 090 DUE DATE: INSTRUCTOR You have studied the method known as "completing the square" to solve quadratic equations. Another use for this method is in transforming the equation
More informationDo you need a worksheet or a copy of the teacher notes? Go to
Name Period Day Date Assignment (Due the next class meeting) Wednesday Thursday Friday Monday Tuesday Wednesday Thursday Friday Monday Tuesday Wednesday Thursday Friday Monday Tuesday Wednesday Thursday
More informationUnit 6 Quadratic Functions
Unit 6 Quadratic Functions 12.1 & 12.2 Introduction to Quadratic Functions What is A Quadratic Function? How do I tell if a Function is Quadratic? From a Graph The shape of a quadratic function is called
More informationYou ll use the six trigonometric functions of an angle to do this. In some cases, you will be able to use properties of the = 46
Math 1330 Section 6.2 Section 7.1: Right-Triangle Applications In this section, we ll solve right triangles. In some problems you will be asked to find one or two specific pieces of information, but often
More informationChapter 3 Practice Test
1. Complete parts a c for each quadratic function. a. Find the y-intercept, the equation of the axis of symmetry, and the x-coordinate of the vertex. b. Make a table of values that includes the vertex.
More informationStudy Guide and Review
Choose the term that best matches the statement or phrase. a square of a whole number A perfect square is a square of a whole number. a triangle with no congruent sides A scalene triangle has no congruent
More informationGeometry First Semester Practice Final (cont)
49. Determine the width of the river, AE, if A. 6.6 yards. 10 yards C. 12.8 yards D. 15 yards Geometry First Semester Practice Final (cont) 50. In the similar triangles shown below, what is the value of
More information3. Solve the following. Round to the nearest thousandth.
This review does NOT cover everything! Be sure to go over all notes, homework, and tests that were given throughout the semester. 1. Given g ( x) i, h( x) x 4x x, f ( x) x, evaluate the following: a) f
More information4. Describe the correlation shown by the scatter plot. 8. Find the distance between the lines with the equations and.
Integrated Math III Summer Review Packet DUE THE FIRST DAY OF SCHOOL The problems in this packet are designed to help you review topics from previous mathematics courses that are essential to your success
More informationMULTIPLE 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. Convert the angle to decimal degrees and round to the nearest hundredth of a degree. 1)
More informationCollege Pre Calculus A Period. Weekly Review Sheet # 1 Assigned: Monday, 9/9/2013 Due: Friday, 9/13/2013
College Pre Calculus A Name Period Weekly Review Sheet # 1 Assigned: Monday, 9/9/013 Due: Friday, 9/13/013 YOU MUST SHOW ALL WORK FOR EVERY QUESTION IN THE BOX BELOW AND THEN RECORD YOUR ANSWERS ON THE
More informationMAC Rev.S Learning Objectives. Learning Objectives (Cont.) Module 4 Quadratic Functions and Equations
MAC 1140 Module 4 Quadratic Functions and Equations Learning Objectives Upon completing this module, you should be able to 1. understand basic concepts about quadratic functions and their graphs.. complete
More informationPre-Calculus Summer Assignment
Pre-Calculus Summer Assignment Identify the vertex and the axis of symmetry of the parabola. Identify points corresponding to P and Q. 1. 2. Find a quadratic model for the set of values. 3. x 2 0 4 f(x)
More informationUnit 1 Quadratic Functions
Unit 1 Quadratic Functions This unit extends the study of quadratic functions to include in-depth analysis of general quadratic functions in both the standard form f ( x) = ax + bx + c and in the vertex
More informationTABLE 2: Mathematics College Readiness Standards for Score Range 13 15
TABLE 2: Mathematics College Readiness Standards for Score Range 13 15 Perform one-operation computation with whole numbers and decimals Solve problems in one or two steps using whole numbers Perform common
More informationPythagorean Theorem Distance and Midpoints
Slide 1 / 78 Pythagorean Theorem Distance and Midpoints Slide 2 / 78 Table of Contents Pythagorean Theorem Distance Formula Midpoints Click on a topic to go to that section Slide 3 / 78 Slide 4 / 78 Pythagorean
More informationTrigonometry Summer Assignment
Name: Trigonometry Summer Assignment Due Date: The beginning of class on September 8, 017. The purpose of this assignment is to have you practice the mathematical skills necessary to be successful in Trigonometry.
More informationUnit 2: Functions and Graphs
AMHS Precalculus - Unit 16 Unit : Functions and Graphs Functions A function is a rule that assigns each element in the domain to exactly one element in the range. The domain is the set of all possible
More informationPractice For use with pages
9.1 For use with pages 453 457 Find the square roots of the number. 1. 36. 361 3. 79 4. 1089 5. 4900 6. 10,000 Approimate the square root to the nearest integer. 7. 39 8. 85 9. 105 10. 136 11. 17.4 1.
More information+ bx + c = 0, you can solve for x by using The Quadratic Formula. x
Math 33B Intermediate Algebra Fall 01 Name Study Guide for Exam 4 The exam will be on Friday, November 9 th. You are allowed to use one 3" by 5" index card on the exam as well as a scientific calculator.
More informationTest 3 review SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Test 3 review SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Approximate the coordinates of each turning point by graphing f(x) in the standard viewing
More information3.1 INTRODUCTION TO THE FAMILY OF QUADRATIC FUNCTIONS
3.1 INTRODUCTION TO THE FAMILY OF QUADRATIC FUNCTIONS Finding the Zeros of a Quadratic Function Examples 1 and and more Find the zeros of f(x) = x x 6. Solution by Factoring f(x) = x x 6 = (x 3)(x + )
More informationSolving Simple Quadratics 1.0 Topic: Solving Quadratics
Ns Solving Simple Quadratics 1.0 Topic: Solving Quadratics Date: Objectives: SWBAT (Solving Simple Quadratics and Application dealing with Quadratics) Main Ideas: Assignment: Square Root Property If x
More informationSM 2. Date: Section: Objective: The Pythagorean Theorem: In a triangle, or
SM 2 Date: Section: Objective: The Pythagorean Theorem: In a triangle, or. It doesn t matter which leg is a and which leg is b. The hypotenuse is the side across from the right angle. To find the length
More informationHonors Geometry Final Study Guide 2014
Honors Geometry Final Study Guide 2014 1. Find the sum of the measures of the angles of the figure. 2. What is the sum of the angle measures of a 37-gon? 3. Complete this statement: A polygon with all
More informationStudy Guide and Review - Chapter 10
State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence. 1. A triangle with sides having measures of 3, 4, and 6 is a
More informationSummer Review for Students Entering Pre-Calculus with Trigonometry. TI-84 Plus Graphing Calculator is required for this course.
1. Using Function Notation and Identifying Domain and Range 2. Multiplying Polynomials and Solving Quadratics 3. Solving with Trig Ratios and Pythagorean Theorem 4. Multiplying and Dividing Rational Expressions
More informationStudy Guide and Review - Chapter 10
State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence. 1. A triangle with sides having measures of 3, 4, and 6 is a
More informationMATH 1112 Trigonometry Final Exam Review
MATH 1112 Trigonometry Final Exam Review 1. Convert 105 to exact radian measure. 2. Convert 2 to radian measure to the nearest hundredth of a radian. 3. Find the length of the arc that subtends an central
More informationMoore Catholic High School Math Department
Moore Catholic High School Math Department Geometry Vocabulary The following is a list of terms and properties which are necessary for success in a Geometry class. You will be tested on these terms during
More information1. Solve the system by graphing: x y = 2 2. Solve the linear system using any method. 2x + y = -7 2x 6y = 12
1. Solve the system by graphing: x y =. Solve the linear system using any method. x + y = -7 x 6y = 1 x + y = 8 3. Solve the linear system using any method. 4. A total of $0,000 is invested in two funds
More informationBe sure to label all answers and leave answers in exact simplified form.
Pythagorean Theorem word problems Solve each of the following. Please draw a picture and use the Pythagorean Theorem to solve. Be sure to label all answers and leave answers in exact simplified form. 1.
More informationMAC Learning Objectives. Module 4. Quadratic Functions and Equations. - Quadratic Functions - Solving Quadratic Equations
MAC 1105 Module 4 Quadratic Functions and Equations Learning Objectives Upon completing this module, you should be able to: 1. Understand basic concepts about quadratic functions and their graphs. 2. Complete
More informationG.8 Right Triangles STUDY GUIDE
G.8 Right Triangles STUDY GUIDE Name Date Block Chapter 7 Right Triangles Review and Study Guide Things to Know (use your notes, homework, quizzes, textbook as well as flashcards at quizlet.com (http://quizlet.com/4216735/geometry-chapter-7-right-triangles-flashcardsflash-cards/)).
More informationGeometry Final Exam - Study Guide
Geometry Final Exam - Study Guide 1. Solve for x. True or False? (questions 2-5) 2. All rectangles are rhombuses. 3. If a quadrilateral is a kite, then it is a parallelogram. 4. If two parallel lines are
More informationHonors Geometry Review Packet ) List all pairs of congruent angles.
Honors Geometry Review Packet 2015 Note: Exam will include problems from 11.5-11.8 that are not included on this packet PQR ~ CDE. 1) List all pairs of congruent angles. 2) Write the ratios of the corresponding
More information6. If QRSTU is a regular pentagon, what is the measure of T? 1. If STUV is a parallelogram, what are the coordinates of point U?
1. If UV is a parallelogram, what are the coordinates of point U?. If RU is a regular pentagon, what is the measure of? (0, y) U(?,?) (, 0) V( + z, 0) 7. hree siblings are to share an inheritance of $1,0
More informationGeometry Second Semester Final Exam Review
Name: Class: Date: ID: A Geometry Second Semester Final Exam Review 1. Find the length of the leg of this right triangle. Give an approximation to 3 decimal places. 2. Find the length of the leg of this
More informationand the radius is The perimeter of Preparing for Assessment - Cumulative, Chapters 1-10
Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper. 1. is tangent to circle Q at point R. Which of the following is the best estimate
More informationPrentice Hall Algebra Correlated to: ACT College Readiness Standards for Mathematics
Score Range 1 12 Students who score in the 1 12 range are most likely beginning to develop the knowledge and skills assessed in the other score ranges. Score Range 13-15 Perform one-operation computation
More informationTexas High School Geometry
Texas High School Geometry 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
More informationHigh School Geometry
High School Geometry 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
More informationCC Geometry. Curriculum (431 topics additional topics)
CC Geometry 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.
More informationSummer Review for Students Entering Pre-Calculus with Trigonometry. TI-84 Plus Graphing Calculator is required for this course.
Summer Review for Students Entering Pre-Calculus with Trigonometry 1. Using Function Notation and Identifying Domain and Range 2. Multiplying Polynomials and Solving Quadratics 3. Solving with Trig Ratios
More informationLesson 8 Introduction to Quadratic Functions
Lesson 8 Introduction to Quadratic Functions We are leaving exponential and logarithmic functions behind and entering an entirely different world. As you work through this lesson, you will learn to identify
More informationA I only B II only C II and IV D I and III B. 5 C. -8
1. (7A) Points (3, 2) and (7, 2) are on the graphs of both quadratic functions f and g. The graph of f opens downward, and the graph of g opens upward. Which of these statements are true? I. The graphs
More informationThe scale factor between the blue diamond and the green diamond is, so the ratio of their areas is.
For each pair of similar figures, find the area of the green figure. 1. The scale factor between the blue diamond and the green diamond is, so the ratio of their areas is. The area of the green diamond
More informationFactor Quadratic Expressions
Factor Quadratic Expressions BLM 6... BLM 6 Factor Quadratic Expressions Get Ready BLM 6... Graph Quadratic Relations of the Form y = a(x h) + k. Sketch each parabola. Label the vertex, the axis of symmetry,
More informationHigh School Geometry
High School Geometry 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
More information2 nd Semester Geometry Review Packet. In the diagram, ABCDE ~ FGHJK. 1) Find the value of x. 2) Find the perimeter of ABCDE.
In the diagram, ABCDE ~ FGHJK. 1) Find the value of x. 2) Find the perimeter of ABCDE. Determine whether the triangles are similar. If so, write a similarity statement and the postulate or theorem that
More informationPCTI Geometry. Summer Packet
PCTI Geometry Summer Packet 2017 1 This packet has been designed to help you review various mathematical topics that will be necessary for your success in Geometry. INSTRUCTIONS: Do all problems without
More informationIntroduction to Geometry
Introduction to Geometry This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (211 topics + 6 additional topics)
More informationMid-Chapter Quiz: Lessons 4-1 through 4-4
1. Find the y-intercept, the equation of the axis of symmetry, and the x-coordinate of the vertex for f (x) = 2x 2 + 8x 3. Then graph the function by making a table of values. 2. Determine whether f (x)
More informationSolving Right Triangles. How do you solve right triangles?
Solving Right Triangles How do you solve right triangles? The Trigonometric Functions we will be looking at SINE COSINE TANGENT The Trigonometric Functions SINE COSINE TANGENT SINE Pronounced sign TANGENT
More informationFinal Exam Review Algebra Semester 1
Final Exam Review Algebra 015-016 Semester 1 Name: Module 1 Find the inverse of each function. 1. f x 10 4x. g x 15x 10 Use compositions to check if the two functions are inverses. 3. s x 7 x and t(x)
More informationAlgebra II Quadratic Functions and Equations - Extrema Unit 05b
Big Idea: Quadratic Functions can be used to find the maximum or minimum that relates to real world application such as determining the maximum height of a ball thrown into the air or solving problems
More informationSmarter Balanced Vocabulary (from the SBAC test/item specifications)
Example: Smarter Balanced Vocabulary (from the SBAC test/item specifications) Notes: Most terms area used in multiple grade levels. You should look at your grade level and all of the previous grade levels.
More informationLesson 8 Practice Problems
Name: Date: Lesson 8 Section 8.1: Characteristics of Quadratic Functions 1. For each of the following quadratic functions: Identify the coefficients a, b, c Determine if the parabola opens up or down and
More informationPre-calculus Chapter 4 Part 1 NAME: P.
Pre-calculus NAME: P. Date Day Lesson Assigned Due 2/12 Tuesday 4.3 Pg. 284: Vocab: 1-3. Ex: 1, 2, 7-13, 27-32, 43, 44, 47 a-c, 57, 58, 63-66 (degrees only), 69, 72, 74, 75, 78, 79, 81, 82, 86, 90, 94,
More informationName: Date: Class: Honors Geometry Advancement Practice (Part 2)
Name: Date: lass: Honors Geometry Advancement Practice (Part 2) Part 1 Multiple hoice: Identify the choice that best completes the statement or answers the question. Place your answer on the Scantron sheet
More informationGeometry Second Semester Review
Class: Date: Geometry Second Semester Review Short Answer 1. Identify the pairs of congruent angles and corresponding sides. 2. Determine whether the rectangles are similar. If so, write the similarity
More information7.1A Investigating Quadratic Functions in Vertex (Standard) Form: y = a(x±p) 2 ±q. Parabolas have a, a middle point. For
7.1A Investigating Quadratic Functions in Vertex (Standard) Form: y = a(x±p) ±q y x Graph y x using a table of values x -3 - -1 0 1 3 Graph Shape: the graph shape is called a and occurs when the equation
More informationReview for Quarter 3 Cumulative Test
Review for Quarter 3 Cumulative Test I. Solving quadratic equations (LT 4.2, 4.3, 4.4) Key Facts To factor a polynomial, first factor out any common factors, then use the box method to factor the quadratic.
More informationProperties of a Circle Diagram Source:
Properties of a Circle Diagram Source: http://www.ricksmath.com/circles.html Definitions: Circumference (c): The perimeter of a circle is called its circumference Diameter (d): Any straight line drawn
More information2 nd Semester Final Exam Review
2 nd Semester Final xam Review I. Vocabulary hapter 7 cross products proportion scale factor dilation ratio similar extremes scale similar polygons indirect measurements scale drawing similarity ratio
More informationHigh School Geometry
High School Geometry 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
More informationName: Unit 8 Right Triangles and Trigonometry Unit 8 Similarity and Trigonometry. Date Target Assignment Done!
Unit 8 Similarity and Trigonometry Date Target Assignment Done! M 1-22 8.1a 8.1a Worksheet T 1-23 8.1b 8.1b Worksheet W 1-24 8.2a 8.2a Worksheet R 1-25 8.2b 8.2b Worksheet F 1-26 Quiz Quiz 8.1-8.2 M 1-29
More informationReview: What is the definition of a parallelogram? What are the properties of a parallelogram? o o o o o o
Geometry CP Lesson 11-1: Areas of Parallelograms Page 1 of 2 Objectives: Find perimeters and areas of parallelograms Determine whether points on a coordinate plane define a parallelogram CA Geometry Standard:
More information7.1/7.2 Apply the Pythagorean Theorem and its Converse
7.1/7.2 Apply the Pythagorean Theorem and its Converse Remember what we know about a right triangle: In a right triangle, the square of the length of the is equal to the sum of the squares of the lengths
More information8-4 Transforming Quadratic Functions
8-4 Transforming Quadratic Functions Warm Up Lesson Presentation Lesson Quiz Algebra 1 Warm Up For each quadratic function, find the axis of symmetry and vertex, and state whether the function opens upward
More informationChapter 6 Practice Test
MPM2D Mr. Jensen Chapter 6 Practice Test Name: Standard Form 2 y= ax + bx+ c Factored Form y= a( x r)( x s) Vertex Form 2 y= a( x h) + k Quadratic Formula ± x = 2 b b 4ac 2a Section 1: Multiply Choice
More informationQUADRATICS Graphing Quadratic Functions Common Core Standard
H Quadratics, Lesson 6, Graphing Quadratic Functions (r. 2018) QUADRATICS Graphing Quadratic Functions Common Core Standard Next Generation Standard F-IF.B.4 For a function that models a relationship between
More informationGeometry SIA #3. Name: Class: Date: Short Answer. 1. Find the perimeter of parallelogram ABCD with vertices A( 2, 2), B(4, 2), C( 6, 1), and D(0, 1).
Name: Class: Date: ID: A Geometry SIA #3 Short Answer 1. Find the perimeter of parallelogram ABCD with vertices A( 2, 2), B(4, 2), C( 6, 1), and D(0, 1). 2. If the perimeter of a square is 72 inches, what
More informationTrigonometry Final Review Exercises
1 The exam will last 2 hours and will be entirely short answer. Be sure to provide adequate written work to justify your answers in order to receive full credit. You will be provided with a basic trig
More informationG r a d e 1 0 I n t r o d u c t i o n t o A p p l i e d a n d P r e - C a l c u l u s M a t h e m a t i c s ( 2 0 S )
G r a d e 0 I n t r o d u c t i o n t o A p p l i e d a n d P r e - C a l c u l u s M a t h e m a t i c s ( 0 S ) Midterm Practice Exam Answer Key G r a d e 0 I n t r o d u c t i o n t o A p p l i e d
More informationLesson 6 - Practice Problems
Lesson 6 - Practice Problems Section 6.1: Characteristics of Quadratic Functions 1. For each of the following quadratic functions: Identify the coefficients a, b and c. Determine if the parabola opens
More informationObjective. 9-4 Transforming Quadratic Functions. Graph and transform quadratic functions.
Warm Up Lesson Presentation Lesson Quiz Warm Up For each quadratic function, find the axis of symmetry and vertex, and state whether the function opens upward or downward. 1. y = x 2 + 3 2. y = 2x 2 x
More informationReview for Spring Final Exam Geometry 1. Classify the figure. Name the vertices, edges, and base.
Name lass ue date Review for Spring Final Exam Geometry 1. lassify the figure. Name the vertices, edges, and base. 4. raw all 6 orthographic views from the given object. ssume there are no hidden cubes.
More informationRight Triangles CHAPTER. 3.3 Drafting Equipment Properties of 45º 45º 90º Triangles p. 189
CHAPTER Right Triangles Hiking is the most popular outdoor activity in the United States, with almost 40% of Americans hiking every year. Hikers should track their location and movements on a map so they
More informationWHAT ARE THE PARTS OF A QUADRATIC?
4.1 Introduction to Quadratics and their Graphs Standard Form of a Quadratic: y ax bx c or f x ax bx c. ex. y x. Every function/graph in the Quadratic family originates from the parent function: While
More informationStation 1: Translations. 1. Translate the figure below J K L
Station 1: Translations 1. Translate the figure below J K L 2. 3. 4. Station 2: Rotations *Assume counterclowise; clockwise is opposite 1. Rotate the figure 90 degrees according to the directions. List
More informationThe equation of the axis of symmetry is. Therefore, the x-coordinate of the vertex is 2.
1. Find the y-intercept, the equation of the axis of symmetry, and the x-coordinate of the vertex for f (x) = 2x 2 + 8x 3. Then graph the function by making a table of values. Here, a = 2, b = 8, and c
More informationMR. JIMENEZ FINAL EXAM REVIEW GEOMETRY 2011
PAGE 1 1. The area of a circle is 25.5 in. 2. Find the circumference of the circle. Round your answers to the nearest tenth. 2. The circumference of a circle is 13.1 in. Find the area of the circle. Round
More informationAccelerated Geometry/Algebra 2 Final Exam Review 2015
Name: lass: ate: I: ccelerated Geometry/lgebra 2 Final Exam Review 2015 Multiple hoice Identify the choice that best completes the statement or answers the question. Solve the following system of equations
More informationSecond Semester Exam Review Packet
Geometry Name Second Semester Exam Review Packet CHAPTER 7 THE PYTHAGOREAN THEOREM. This theorem is used to find the lengths of the sides of a right triangle. Label the parts of the right triangle. What
More informationMission 1 Graph Quadratic Functions in Standard Form
Algebra Unit 4 Graphing Quadratics Name Quest Mission 1 Graph Quadratic Functions in Standard Form Objectives: Graph functions expressed symbolically by hand and show key features of the graph, including
More information2. A circle is inscribed in a square of diagonal length 12 inches. What is the area of the circle?
March 24, 2011 1. When a square is cut into two congruent rectangles, each has a perimeter of P feet. When the square is cut into three congruent rectangles, each has a perimeter of P 6 feet. Determine
More informationLesson 3.1 Vertices and Intercepts. Important Features of Parabolas
Lesson 3.1 Vertices and Intercepts Name: _ Learning Objective: Students will be able to identify the vertex and intercepts of a parabola from its equation. CCSS.MATH.CONTENT.HSF.IF.C.7.A Graph linear and
More information2. Find the measure of exterior angle. 3. Find the measures of angles A, B, and C. 4. Solve for x. 5. Find the measure of
INTEGRATED MATH III SUMMER PACKET DUE THE FIRST DAY OF SCHOOL The problems in this packet are designed to help you review topics from previous mathematics courses that are essential to your success in
More information[B] hours b, P.I. A2.N.9 When simplified,
Math B Regents Exam 0804 Page 1 1. 080401b, P.I. G.G.8 Which condition does not prove that two triangles are congruent? [A] SAS SAS [B] SSA SSA [C] ASA ASA [D] SSS SSS. 08040b, P.I. A.A.5 The speed of
More information2.10 Theorem of Pythagoras
2.10 Theorem of Pythagoras Dr. Robert J. Rapalje, Retired Central Florida, USA Before introducing the Theorem of Pythagoras, we begin with some perfect square equations. Perfect square equations (see the
More informationGrade 9 Math Terminology
Unit 1 Basic Skills Review BEDMAS a way of remembering order of operations: Brackets, Exponents, Division, Multiplication, Addition, Subtraction Collect like terms gather all like terms and simplify as
More informationChanging from Standard to Vertex Form Date: Per:
Math 2 Unit 11 Worksheet 1 Name: Changing from Standard to Vertex Form Date: Per: [1-9] Find the value of cc in the expression that completes the square, where cc =. Then write in factored form. 1. xx
More informationCollege Readiness (597 topics) Course Name: College Prep Math Spring 2014 Course Code: ARTD4-3N6XJ
Course Name: College Prep Math Spring 2014 Course Code: ARTD4-3N6XJ ALEKS Course: Math for College Readiness Instructor: Ms. Dalton Course Dates: Begin: 01/19/2015 End: 06/18/2015 Course Content: 606 Topics
More informationNumber. Number. Number. Number
Order of operations: Brackets Give the order in which operations should be carried out. Indices Divide Multiply Add 1 Subtract 1 What are the first 10 square numbers? The first 10 square numbers are: 1,
More informationSlide 2 / 222. Algebra II. Quadratic Functions
Slide 1 / 222 Slide 2 / 222 Algebra II Quadratic Functions 2014-10-14 www.njctl.org Slide 3 / 222 Table of Contents Key Terms Explain Characteristics of Quadratic Functions Combining Transformations (review)
More informationCh 8: Right Triangles and Trigonometry 8-1 The Pythagorean Theorem and Its Converse 8-2 Special Right Triangles 8-3 The Tangent Ratio
Ch 8: Right Triangles and Trigonometry 8-1 The Pythagorean Theorem and Its Converse 8- Special Right Triangles 8-3 The Tangent Ratio 8-1: The Pythagorean Theorem and Its Converse Focused Learning Target:
More informationGeometry: Angle Relationships
Geometry: Angle Relationships I. Define the following angles (in degrees) and draw an example of each. 1. Acute 3. Right 2. Obtuse 4. Straight Complementary angles: Supplementary angles: a + b = c + d
More information