Georgia Online Formative Assessment Resource (GOFAR) AG Algebra Functions Domain
|
|
|
- Marion Collins
- 5 years ago
- Views:
Transcription
1 AG Algebra Functions Domain Name: Date: Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (1 of 21 )
2 1. Which is equivalent to the expression 2. Cori drew a rectangle with expressions that give the length and width, as shown below. What is the difference between the longer side and the shorter side? 3x- 4 3x- 2 3x+ 2 3x Which of the following is equivalent tons3+ n2s? ns(s2+ 1) ns(s2+ n) ns(s2+ s) ns2(s+ n) 4. An 8-inch by 10-inch photograph is being reduced proportionally. The 10-inch side is reduced by x inches. What is the CHANGE in the area in terms of x? Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (2 of 21 )
3 5. A picture with a frame and its dimensions are shown in this diagram. What is the area, in square inches, of the frame? 6. The area, in square units, of a rectangle is represented by this polynomial. One dimension is units. What is the other dimension, in units, of the rectangle? 7. A shipping company uses cube-shaped boxes with edges that are e centimeters long. The inside of each face of the box is padded with foam that is 2 centimeters thick. What is the usable volume of the inside of the box? Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (3 of 21 )
4 8. What is the factored form of this polynomial? 2x2 + 5x + 3 (2x + 1)(x + 3) (2x - 1)(x + 3) (2x + 3)(x + 1) (2x + 1)(x + 2) 9. Two functions are graphed on this coordinate plane. For what values of xdoes it appear that is greater than or or 10. This graph shows the functions and Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (4 of 21 )
5 Based on the graph, which of the following are the best estimates of the solutions of the equation 11. The graphs of the linear function and the quadratic function are shown on this coordinate plane. Which of the following are the best approximate solutions of Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (5 of 21 )
6 12. The function represents the surface area of a cube that has side length x. This function is a transformation of Which phrase describes this transformation? stretch by a factor of 6 shrink by a factor of 6 shift up of 6 units shift down of 6 units 13. This diagram shows the length of a brace used to support a wall. The equation can be used to determine x, the base of the triangle. Which of the following is equivalent to the equation? 14. What values ofxsatisfyx2+ 2x= 24? - 6, - 4-6, 4 Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (6 of 21 )
7 6, - 4 6, A quadratic function has a root at Which equation could represent this function? 16. Which equation has no real solutions? 17. What are the solutions of the equation 18. Which of the following is a factor of 6x2-13x+ 5? x+ 1 2x - 1 3x+ 1 Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (7 of 21 )
8 6x If and what is the value of x? 20. Which expression is a factor of 4x2+ 10x+ 6? 2(x+ 3) 2x+ 3 4(x+ 3) 4x A sky diver uses this equation to determine h, her height in meters above the ground t seconds after jumping from a plane. The sky diver wants to open her parachute when she is at a height of 300 meters above the ground. Approximately how many seconds after the sky diver jumps from the plane should she open her parachute? 12 seconds 14 seconds 16 seconds 26 seconds 22. The floor of a room is rectangular in shape. Its length, x, is 2 feet greater than its width. The floor has an area of 120 square feet. Which equation can be used to determine the length of the floor? Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (8 of 21 )
9 23. This equation represents d, the distance in meters a ball rolls down a ramp in t seconds. What number of seconds will it take the ball to roll 15 meters down the ramp? 2 seconds 3 seconds 5 seconds 8 seconds 24. Two opposite sides of a square are increased 6 inches in one direction, and the other two sides are increased 4 inches. These increases cause the area to increase by 114 square inches. This equation can be used to determine x, the length of each side of the original square. Which of the following is equivalent to the equation? 25. Which expression is equivalent to Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (9 of 21 )
10 26. Which equation is equivalent to 27. Solve: x2 - x - 30 = 0 x = 3 and x = -10 x = -5 and x = 6 x = 2 and x = -15 x = 5 and x = Logan works in a factory. Logan uses the formula y = x2 + x to determine how many impurities (y) are in a sample of water at any temperature (x) in degrees Celsius. For one sample of water, Logan found 20 impurities. Which are the possible temperatures for the sample of water? 5 C or -4 C 2 C or -10 C -2 C or 10 C -5 C or 4 C 29. This table shows the relationship between n, the number of consecutive hits made in a video game, and number of points scored. Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (10 of 21 )
11 Which function best represents this relationship? 30. At a water park, a stream of water is shot into the air from the top of a pole that is 12 feet tall. The function graphed on this coordinate grid represents the path of the stream of water from the top of the pole to the ground. What is the domain of the function that represents the path of the stream of water from the top of the pole to the ground? to to Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (11 of 21 )
12 to to 31. At a water park, a stream of water is shot into the air from the top of a pole that is 12 feet tall. The fun What is the range of the function that represents the path of the stream of water from the top of the p 32. A function is described below. The function has a maximum point at The function increases at a nonconstant rate for The function decreases at a nonconstant rate for Which function could match this description? Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (12 of 21 )
13 33. Which function has zeros at 34. This coordinate plane shows the graphs of seven absolute value functions in a family of functions. Each function in the family has roots of and Which equation describes the family of absolute value functions in which k is a real number? Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (13 of 21 )
14 35. This equation describes the relationship between two quadratic functions. Which of the following could represent the graphs of the two functions? Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (14 of 21 )
15 36. These two quadratic functions are reflections of each another. Which equation describes the relationship between the two functions? Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (15 of 21 )
16 37. The graph of a quadratic function, is transformed such that its image, can be described as Which statement describes how the graph of was transformed? It was reflected across the x-axis and shifted 4 units to the right. It was reflected across the x-axis and shifted 4 units to the left. It was reflected across the y-axis and shifted 4 units down. It was reflected across the y-axis and shifted 4 units to the left. 38. This coordinate plane shows the graphs of two quadratic functions. Which equation could show the relationship between the two functions? 39. This graph shows the number of minutes a student spent bike riding during the past 7 days. Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (16 of 21 )
17 Which of the following is the domain of the graph? 40. This polynomial can be factored such that all the terms in the factors are real and rational. Which polynomial is NOT a factor? 41. Function f is defined by the expression Which function is equivalent to f? Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (17 of 21 )
18 42. This table lists the coordinates of some points on the graph of a quadratic function. Which of the following describes the location of a zero of the graph of the function? between and between and between and between and Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (18 of 21 )
19 Answer Key : x ns(s2+ n) (2x + 3)(x + 1) 9. or stretch by a factor of , x x seconds 22. Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (19 of 21 )
20 23. 3 seconds x = -5 and x = C or 4 C to It was reflected across the x-axis and shifted 4 units to the right. 38. Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (20 of 21 )
21 between and Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (21 of 21 )
ALGEBRA 2 W/ TRIGONOMETRY MIDTERM REVIEW
Name: Block: ALGEBRA W/ TRIGONOMETRY MIDTERM REVIEW Algebra 1 Review Find Slope and Rate of Change Graph Equations of Lines Write Equations of Lines Absolute Value Functions Transformations Piecewise Functions
Chapter 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.
Center #1. 3. There is a rectangular room whose length is 8 times its width. The area of the room is 32 ft 2. Find the length of the room.
Center #1 If the Income equation for the Raise the Bar Ballet Company is I(p)= 10p(52 2p) when p is the price of the tickets, what is the domain and range for this income equation? A squirrel is 24 feet
Unit 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
Algebra 2 Graphing Project. 1. You must create a picture or artistic design using the graphs of at least 10 different functions and relations.
Algebra 2 Graphing Project Directions: 1. You must create a picture or artistic design using the graphs of at least 10 different functions and relations. 2. Your picture must include at least one of each
CCBC Math 081 Geometry Section 2.2
2.2 Geometry Geometry is the study of shapes and their mathematical properties. In this section, we will learn to calculate the perimeter, area, and volume of a few basic geometric shapes. Perimeter We
Solving 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
Name. Beaumont Middle School 8th Grade, Advanced Algebra I. A = l w P = 2 l + 2w
1 Name Beaumont Middle School 8th Grade, 2015-2016 Advanced Algebra I A = l w P = 2 l + 2w Graphing Quadratic Functions, Using the Zeroes (x-intercepts) EXAMPLES 1) y = x 2 9 2 a) Standard Form: b) a =,
Let s review some things we learned earlier about the information we can gather from the graph of a quadratic.
Section 6: Quadratic Equations and Functions Part 2 Section 6 Topic 1 Observations from a Graph of a Quadratic Function Let s review some things we learned earlier about the information we can gather from
Quadratics and Their Graphs
Quadratics and Their Graphs Graph each quadratic equation to determine its vertex and x-intercepts. Determine if the vertex is a maximum or minimum value. y = 0.3x + 3x 1 vertex maximum or minimum (circle
Section 5: Quadratics
Chapter Review Applied Calculus 46 Section 5: Quadratics Quadratics Quadratics are transformations of the f ( x) x function. Quadratics commonly arise from problems involving area and projectile motion,
PART ONE: Learn About Area of a Parallelogram
13 Lesson AREA PART ONE: Learn About Area of a Parallelogram? How can you use a rectangle to find the area of a parallelogram? Area (A) tells how much surface a two-dimensional figure covers. You can use
Section 9.1 Identifying Quadratic Functions Section 9.2 Characteristics of Quadratics
1 Algebra 1, Quadratic Notes Name Learning Targets: Section 9.1 Identifying Quadratic Functions Section 9.2 Characteristics of Quadratics Identify quadratic functions and determine whether they have a
Algebra Area of Parallelograms
Lesson 10.1 Reteach Algebra Area of Parallelograms The formula for the area of a parallelogram is the product of the base and height. The formula for the area of a square is the square of one of its sides.
loose-leaf paper Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Class: Date: Algebra 2 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 question.
College 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
Houston County School System Mathematics
Student Name: Teacher Name: Grade: 6th Unit #: 5 Unit Title: Area and Volume Approximate Start Date of Unit: Approximate End Date (and Test Date) of Unit: The following Statements and examples show the
Name Class Date. Using Graphs to Relate Two Quantities
4-1 Reteaching Using Graphs to Relate Two Quantities An important life skill is to be able to a read graph. When looking at a graph, you should check the title, the labels on the axes, and the general
c. Suppose you continue adding triangles to the wheel. Which triangle will have a hypotenuse of length 5 units? 4 ft 10 in.
Applications 1. The hypotenuse of a right triangle is 15 centimeters long. One leg is centimeters long. How long is the other leg? 2. The Wheel of Theodorus in Problem 4.1 includes only the first 11 triangles
12/11/2018 Algebra II - Semester 1 Review
Name: Semester Review - Study Guide Score: 72 / 73 points (99%) Algebra II - Semester 1 Review Multiple Choice Identify the choice that best completes the statement or answers the question. Name the property
STAAR Category 3 Grade 7 Mathematics TEKS 7.9D. Student Activity 1
Student Activity 1 Work with your partner to answer the following questions. Problem 1: A triangular prism has lateral faces and faces called bases. The bases are in the shape of a. The lateral faces are
Chapter 6: Quadratic Functions
Chapter 6: Quadratic Functions Section 6.1 Chapter 6: Quadratic Functions Section 6.1 Exploring Quadratic Relations Terminology: Quadratic Relations: A relation that can be written in the standard form
The Real Number System and Pythagorean Theorem Unit 9 Part C
The Real Number System and Pythagorean Theorem Unit 9 Part C Standards: 8.NS.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion;
Math A Regents Exam 0601 Page 1
Math A Regents Exam 0601 Page 1 1. 060101a, P.I. A.A.1 A car travels 110 miles in hours. At the same rate of speed, how far will the car travel in h hours? [A] 55h [B] 0h [C]. 06010a, P.I. A.A.14 h 0 Which
Tiling And Filling The Pool Assessment Materials for Student
Tiling And Filling The Pool Assessment Materials for Student You have been hired to design the outside of a tissue box for a new company. The base of the box is 10 inches by 4 inches. The height of the
A C E. Applications. Applications Connections Extensions
A C E Applications Connections Extensions Applications 1. Suppose that the polygons below were drawn on centimeter grid paper. How many 1-centimeter cubes (some cut in pieces) would it take to cover each
NMC Sample Problems: Grade 8
NM Sample Problems: Grade 8. right triangle has side lengths of 4 and 8. What is the length of the hypotenuse (the longest side)? 4 0 4 4. n isosceles triangle has a base length of 0 and a side length.
Step 2: Find the coordinates of the vertex (h, k) Step 5: State the zeros and interpret what they mean. Step 6: Make sure you answered all questions.
Chapter 4 No Problem Word Problems! Name: Algebra 2 Period: 1 2 3 4 5 6 A. Solving from Standard Form 1. A ball is thrown so its height, h, in feet, is given by the equation h = 16t! + 10t where t is the
MATH-G P- Geometry Formulas Exam not valid for Paper Pencil Test Sessions
MATH-G P- Geometry Formulas Exam not valid for Paper Pencil Test Sessions [Exam ID:2M8EKV 1 A soda can has a diameter of 6 centimeters and a height of 13 centimeters. Which is closest to the surface area
The 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
4) Simplify 5( 6) Simplify. 8) Solve 1 x 2 4
Algebra Summer Assignment 1) Simplify x 4y 10 x ) Simplify 4y 6x 3( x y) 3) Simplify 1 3 ( x 3) 4) Simplify 5( x 9x) (3x 4) 7 5) Simplify ( x 3)( x ) 6) Simplify ( x 4) 3 7) Simplify ( 5x 8)(4x 1) 8) Solve
ALGEBRA 1 NOTES. Quarter 3. Name: Block
2016-2017 ALGEBRA 1 NOTES Quarter 3 Name: Block Table of Contents Unit 8 Exponent Rules Exponent Rules for Multiplication page 4 Negative and Zero Exponents page 8 Exponent Rules Involving Quotients page
Reteaching Transforming Linear Functions
Name Date Class Transforming Linear Functions INV 6 You have graphed linear functions on the coordinate plane. Now you will investigate transformations of the parent function for a linear function, f(x)
Factor 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,
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Algebra Midterm Review Packet # Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the set. ) E is the set of odd natural numbers between
Lesson 4.2 The Vertex
Lesson. The Vertex Activity 1 The Vertex 1. a. How do you know that the graph of C œ ÐB Ñ ' is a parabola? b. Does the parabola open up or down? Why? c. What is the smallest C-value on the graph of C œ
Course 1 Unit 5 Practice
Course Unit Practice Lesson -. Attend to precision. Use the Triangle Inequality Property to determine whether a triangle can be formed with the given side lengths in inches. If a triangle can be formed,
Slide 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)
GA Math I Formative Assessment Units 1-3 *Diagnostic Only* (2009MathI-Units1-3)
Name: Date: 1. If the graph of f(x) is, which of the following is the graph of f(x)? 1 2. Which set of statements represents an invalid argument? 3. Which trinomial is equivalent to? 4. What is the inverse
Sample: Do Not Reproduce QUAD4 STUDENT PAGES. QUADRATIC FUNCTIONS AND EQUATIONS Student Pages for Packet 4: Quadratic Functions and Applications
Name Period Date QUADRATIC FUNCTIONS AND EQUATIONS Student Pages for Packet 4: Quadratic Functions and Applications QUAD 4.1 Vertex Form of a Quadratic Function 1 Explore how changing the values of h and
Math B Regents Exam 0606 Page 1
Math B Regents Exam 0606 Page 1 1. 060601b, P.I. A.G.3 Each graph below represents a possible relationship between temperature and pressure. Which graph does not represent a function? [A] [B] 4. 060604b,
Review: Geometry. Area Composite Figures Surface Area Volume Fractional Edge Length 3-D Figures and Nets Coordinate Graphing
Review: Geometry Area Composite Figures Surface Area Volume Fractional Edge Length 3-D Figures and Nets Coordinate Graphing Perimeter: the distance around a polygon. Area: the number of square units needed
Math 4 quiz review October 27, 2016 Polynomial functions: review page 1 Quadratic and Polynomial functions: Quiz review
October 27, 2016 Polynomial functions: review page 1 Quadratic and Polynomial functions: Quiz review Topic outline Quadratic functions Quadratic function formulas: you should be able to convert between
6th Grade Math. Parent Handbook
6th Grade Math Benchmark 3 Parent Handbook This handbook will help your child review material learned this quarter, and will help them prepare for their third Benchmark Test. Please allow your child to
Lesson 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
2. 4 m. 6 in. 4 m 4 m. 5. the amount of topsoil needed to put a 2 in. thick layer on the top of a square garden
6 Find the surface area and volume.. in.. 4 m. 5 in. 6 in. 4 m 4 m 0 yd 6 yd 6 yd SA = SA = SA = Choose the most appropriate measure. Write perimeter, surface area, or volume. 4. the distance around the
Study 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
Study 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
25 Questions EOG Review #1 EOG REVIEW
Questions EOG Review # EOG REVIEW Solve each: Give the BEST Answer. Name Period 9. Represent as a percent: 8% b. 80% c..4% d..8%. A rectangle is 4 meters long. It has a diagonal that is meters. How wide
FSA Algebra I End-of-Course Review Packet. Functions and Modeling
FSA Algebra I End-of-Course Review Packet Functions and Modeling Table of Contents MAFS.912.F-BF.2.3 EOC Practice... 3 MAFS.912.F-IF.1.2 EOC Practice... 5 MAFS.912.F-IF.1.1 EOC Practice... 7 MAFS.912.F-IF.2.5
Final Exam Information. Practice Problems for Final Exam
Final Exam Information When:... What to bring: Pencil, eraser, scientific calculator, 3x5 note card with your own handwritten notes on (both sides). How to prepare: Look through all your old tests and
Algebra 1 Notes Quarter
Algebra 1 Notes Quarter 3 2014 2015 Name: ~ 1 ~ Table of Contents Unit 9 Exponent Rules Exponent Rules for Multiplication page 6 Negative and Zero Exponents page 10 Exponent Rules Involving Quotients page
Geometry Practice Questions
Geometr Practice Questions 40 Geometr. What is the surface area, in square centimeters, of a cube with each edge length of 5 cm? A. 5 B. 5 C. 5 50. What is the surface area, in square centimeters, of a
Right 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
Review 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.
Student Exploration: Quadratics in Polynomial Form
Name: Date: Student Exploration: Quadratics in Polynomial Form Vocabulary: axis of symmetry, parabola, quadratic function, vertex of a parabola Prior Knowledge Questions (Do these BEFORE using the Gizmo.)
Math 2 Plane Geometry part 1 Unit Updated January 13, 2017
Complementary angles (two angles whose sum is 90 ) and supplementary angles (two angles whose sum is 180. A straight line = 180. In the figure below and to the left, angle EFH and angle HFG form a straight
February 8 th February 12 th. Unit 6: Polynomials & Introduction to Quadratics
Algebra I February 8 th February 12 th Unit 6: Polynomials & Introduction to Quadratics Jump Start 1) Use the elimination method to solve the system of equations below. x + y = 2 3x + y = 8 2) Solve: 13
Park Forest Math Team. Meet #5. Self-study Packet. Problem Categories for this Meet (in addition to topics of earlier meets):
Park Forest Math Team Meet #5 Self-study Packet Problem Categories for this Meet (in addition to topics of earlier meets): 1. Mystery: Problem solving 2. : Solid (Volume and Surface Area) 3. Number Theory:
Common Core Algebra 2. Chapter 1: Linear Functions
Common Core Algebra 2 Chapter 1: Linear Functions 1 1.1 Parent Functions and Transformations Essential Question: What are the characteristics of some of the basic parent functions? What You Will Learn
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
Math 1 Plane Geometry Part 1
Math 1 Plane Geometry Part 1 1 Intersecting lines: When two lines intersect, adjacent angles are supplementary (they make a line and add up to 180 degrees, and vertical angles (angles across from each
7.1A 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
Quadratic Functions. Chapter Properties of Quadratic Functions... p Investigating Quadratic Functions... p. 6 in Vertex Form: Part 1
Chapter 3 Quadratic Functions 3. Properties of Quadratic Functions........... p. 1 3.1 Investigating Quadratic Functions........... p. 6 in Vertex Form: Part 1 3.1 Investigating Quadratic Functions...........
Additional Practice. Name Date Class. 1. Find the area and the perimeter of each of the four shapes below. a. b. c. d. Covering and Surrounding
Additional Practice. Find the area and the perimeter of each of the four shapes below. Investigation a. b. c. d. 52 cm 6 cm 52 cm 34 cm 93 Investigation 2. Susan is helping her father measure the living
Covering & Surrounding
Covering & Surrounding Two-Dimensional Measurement and Three-Dimensional Measurement Name: Hour: Table of Contents Investigation 1 Investigation 1.1 page 3 Investigation 1.2 page 7 Investigation 1.3 page
Unit 1. Word Definition Picture. The number s distance from 0 on the number line. The symbol that means a number is greater than the second number.
Unit 1 Word Definition Picture Absolute Value The number s distance from 0 on the number line. -3 =3 Greater Than The symbol that means a number is greater than the second number. > Greatest to Least To
2/22/ Transformations but first 1.3 Recap. Section Objectives: Students will know how to analyze graphs of functions.
1 2 3 4 1.4 Transformations but first 1.3 Recap Section Objectives: Students will know how to analyze graphs of functions. 5 Recap of Important information 1.2 Functions and their Graphs Vertical line
TN READY PRACTICE TEST DATE PERIOD Q4 TEST #1 PART 1 NO CALCULATOR
NAME TN READY PRACTICE TEST DATE PERIOD Q4 TEST #1 PART 1 NO CALCULATOR 1. Between which two consecutive rational numbers is each irrational number? Choose two consecutive rational numbers for each irrational
Algebra II Honors Combined Study Guides Units 1-4 Unit 1 Study Guide Linear Review, 3-1, 3-2 & 4-5
Algebra II Honors Combined Study Guides Units 1-4 Unit 1 Study Guide Linear Review, 3-1, 3- & 4-5 Linear Review Be able to identify the domain, range, and inverse of a function Be able to create a relation,
+ 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.
EXPLORE MATHEMATICS TEST
EXPLORE MATHEMATICS TEST Table 4: The College Readiness The describe what students who score in the specified score ranges are likely to know and to be able to do. The help teachers identify ways of enhancing
Mid-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)
Geometry 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
Name: Period: 2018 Geometry Spring Final Exam Review
2018 Geometry Spring Final Exam Review 1. Find the number of lunch combinations that can be created if you order a soup, sandwich, drink and dessert. There are 4 soup choices, 5 sandwich choices, 3 drink
Do 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
MAC 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
FSA Geometry End-of-Course Review Packet. Modeling and Geometry
FSA Geometry End-of-Course Review Packet Modeling and Geometry Table of Contents MAFS.912.G-MG.1.1 EOC Practice... 3 MAFS.912.G-MG.1.2 EOC Practice... 6 MAFS.912.G-MG.1.3 EOC Practice... 8 Modeling with
1.1. Parent Functions and Transformations Essential Question What are the characteristics of some of the basic parent functions?
1.1 Parent Functions and Transformations Essential Question What are the characteristics of some of the basic parent functions? Identifing Basic Parent Functions JUSTIFYING CONCLUSIONS To be proficient
CHAPTER 9: Quadratic Equations and Functions
CHAPTER : Quadratic Equations and Functions Notes # -: Exploring Quadratic Graphs A. Graphing ax A is a function that can be written in the form ax bx c where a, b, and c are real numbers and a 0. Examples:
Introduction to Quadratic Functions Connecting Your Knowledge
Unit 4: Frogs, Fleas, & Painted Cubes//Investigation 1//Connections Name Class Date Introduction to Quadratic Functions Connecting Your Knowledge I can write equations for quadratic functions. Math / 30
Simplifying Expressions
Unit 1 Beaumont Middle School 8th Grade, 2017-2018 Math8; Intro to Algebra Name: Simplifying Expressions I can identify expressions and write variable expressions. I can solve problems using order of operations.
Find The Volume Of A Right Rectangular Prism - Step-by-Step Lesson
Find The Volume Of A Right Rectangular Prism - Step-by-Step Lesson Lesson 1 Rectangular Prism Problem A swimming pool is 10m long, 8m wide and 4m deep. Allen wants to know the volume of the swimming pool
19.2 Surface Area of Prisms and Cylinders
Name Class Date 19. Surface Area of Prisms and Cylinders Essential Question: How can you find the surface area of a prism or cylinder? Resource Locker Explore Developing a Surface Area Formula Surface
Unit 2-2: Writing and Graphing Quadratics NOTE PACKET. 12. I can use the discriminant to determine the number and type of solutions/zeros.
Unit 2-2: Writing and Graphing Quadratics NOTE PACKET Name: Period Learning Targets: Unit 2-1 12. I can use the discriminant to determine the number and type of solutions/zeros. 1. I can identify a function
A C E. Applications. Applications Connections Extensions
A C E Applications Connections Extensions Applications 1. At an evergreen farm, the taller trees are braced by wires. A wire extends from 2 feet below the top of a tree to a stake in the ground. What is
5th Grade Mathematics Essential Standards
Standard 1 Number Sense (10-20% of ISTEP/Acuity) Students compute with whole numbers*, decimals, and fractions and understand the relationship among decimals, fractions, and percents. They understand the
Assignments for Algebra 1 Unit 9 Quadratics, Part 1
Name: Assignments for Algebra 1 Unit 9 Quadratics, Part 1 Day 1, Quadratic Transformations: p.1-2 Day 2, Vertex Form of Quadratics: p. 3 Day 3, Solving Quadratics: p. 4-5 Day 4, No Homework (be sure you
Finding the Volume of Solids
S E S S I O N 1. 5 A Finding the Volume of Solids Math Focus Points Using formulas to find the volume of rectangular prisms Finding the volume of a solid composed of two rectangular prisms Today s Plan
II. Functions. 61. Find a way to graph the line from the problem 59 on your calculator. Sketch the calculator graph here, including the window values:
II Functions Week 4 Functions: graphs, tables and formulas Problem of the Week: The Farmer s Fence A field bounded on one side by a river is to be fenced on three sides so as to form a rectangular enclosure
11.6 Start Thinking Warm Up Cumulative Review Warm Up
11.6 Start Thinking The diagrams show a cube and a pyramid. Each has a square base with an area of 25 square inches and a height of 5 inches. How do the volumes of the two figures compare? Eplain your
Quadratic Functions, Part 1
Quadratic Functions, Part 1 A2.F.BF.A.1 Write a function that describes a relationship between two quantities. A2.F.BF.A.1a Determine an explicit expression, a recursive process, or steps for calculation
Archdiocese of Washington Catholic Schools Academic Standards Mathematics
5 th GRADE Archdiocese of Washington Catholic Schools Standard 1 - Number Sense Students compute with whole numbers*, decimals, and fractions and understand the relationship among decimals, fractions,
STAAR Category 3 Grade 7 Mathematics TEKS 7.8A/7.9A. Student Activity 1. Problem 1: The height of a prism is the distance between the two.
Student Activity 1 Work with your partner to answer the following questions. Problem 1: The height of a prism is the distance between the two. The height of a pyramid is the distance from the vertex the
Unit 7. Quadratic Applications. Math 2 Spring 2017
1 Unit 7 Quadratic Applications Math 2 Spring 2017 1 Contents Graphing Key Features of Quadratic Equations...3 Vertex Form of a Quadratic...3 Practice and Closure...6 Graphing Quadratics from Standard
Surface Area and Volume of Solids
Surface Area and Volume of Solids? MODULE 5 LESSON 5. ESSENTIAL QUESTION Nets and Surface Area How can a model help you to solve surface area and volume problems? 6.G. LESSON 5. Volume of Rectangular Prisms
You may use a calculator for these practice questions. You may
660 Math Smart Practice Questions You may use a calculator for these practice questions. You may not know all the math to complete these practice questions yet, but try to think them through! 1. Eric lives
Surface Area of Solids
Lesson 24 Surface Area of Solids Name: Prerequisite: Use a Net to Find Surface Area Study the example showing how to use a net to find the surface area of a prism. Then solve problems 7. Example Kioshi
I. Function Characteristics
I. Function Characteristics Interval of possible x values for a given function. (Left,Right) Interval of possible y values for a given function. (down, up) What is happening at the far ends of the graph?
Math B Regents Exam 0607 Page b, P.I. A.G.4 Which equation is best represented by the accompanying graph?
Math B Regents Exam 0607 Page 1 1. 060701b, P.I. A.A.46 The accompanying graph represents the equation y = f( x).. 06070b, P.I. A.G.4 Which equation is best represented by the accompanying graph? Which