Multiple Choice Open-Ended Gridded Response Look at the coordinate plane below. In which quadrant is Point A located?

Size: px
Start display at page:

Download "Multiple Choice Open-Ended Gridded Response Look at the coordinate plane below. In which quadrant is Point A located?"

Transcription

1 Multiple Choice Open-Ended Gridded Response Look at the coordinate plane below. In which quadrant is Point A located? List 3 different pairs of points that are exactly 4 units apart of the Y-Axis. Explain how you know that they re only 4 units apart. What is the distance between (-6,4) and (12, 4) in units? a. Quadrant I b. Quadrant II c. Quadrant III d. Quadrant IV If Point F was reflected over the X Axis, what would be the coordinates of the new point? a. (-6,6) b. (-6, -6) c. (6, 6) d. (6, -6) This is an open response. When checking the students answers, make sure that they are ONLY using points that are 4 units apart on the Y-Axis. Point A is graphed on the coordinate grid below. If Point A was reflected over the Y Axis to make Point A what would its coordinates be? Graph the new, reflected point below. (2, -2) 18 What is the distance between (7, 3) and (7, -5) in units? 8 Point K on a graph has the coordinates (10,10). If the point was reflected over the X Axis and then over the Y Axis, what would the new coordinate be? a. (-10, -10) b. (10, 10) c. (10, -10) d. (-10, 10) Look at the coordinate plane below. Fill out the table by filling in the ordered pairs for each point on the graph. Coordinate Point Q Ordered Pair (-3, -5) Point R (5, 6) Point S (0, 4) Point T (0, 0) Point U (-5, 0) What is the distance between (0,8) and (0,2) in units? 6

2 Point R is located at (-4, 9). Which of the following statements correctly explains how to plot Point R? a. It is 4 units down, 9 units to the right. b. It is 4 units up, 9 units to the left. c. It is 4 units to the left, 9 units up. d. It is 4 units to the right, 9 units up. Pa Samba graphs the point (-3, -4) and wants to know what the ordered pair would be if he shifted the point 6 units horizontally. What are the possible points that Pa Samba could graph? (-9, -4) (3, -4) Point M is located at (1, -3). Which of the following statements correctly explains how to plot Point M? a. It is one unit to the left and three units up. b. It is one unit to the right and three units down. c. It is one unit to the left and three units down. d. It is three units to the right and one unit down. What is the distance between (9, 13) and (9, -6)? a. 7 Units b. 18 Units c. 0 Units d. 19 Units Look at the coordinate plane below. Fill out the table by filling in the ordered pairs for each point on the graph. Coordinate Point A (-1, 3) Point B (5, 2) Ordered Pair Select which of the following points are not exactly 5 units apart on the Y Axis. a. M (3, 8) and N (3, 3) b. O (-2, 1) and P (-7, 1) c. A (6, 2) and B (6, -3) d. X (11, 2) and Y (11, 7) Point C Point D Point E (0, -5) (-6, -2) (4, -6)

3 If the point above was reflected over the X-Axis, what would the ordered pair for the new point be? a. (4,0) b. (0,4) c. (-4,0) d. (0, -4) Rachel says that if you reflect (-8, 3) over the X-Axis, the ordered pair will be (-8,-3). Is Rachel correct? Explain how you know why or why not Rachel is correct. Yes. Student needs to explain how they know this. List the two points that are 6 units apart on the X Axis from the point above. (-3, 6) (9,6) Jack records the stops, Point 2 and Point 3, that he makes between home, Point 4, and school, Point 1, on his walk home from school. If each unit represents 50 feet that Jack walked, how far does Jack have to walk home? a. 20 feet b feet c. 100 feet d. 200 feet -2 ¾, 1 ½, -1, ½, 3 List the following number from least to greatest. 3 ¾, -⅞, -1, 2, 1, -¼ -1, -⅞, -¼, 2, 3 ¾ -2 ¾, -1, ½, 1 ½, 3

4 The point M was originally point M. Point M was reflects over the Y Axis and point M was formed at (10, 3) What is the ordered pair of the original Point M? a. (-10, 3) b. (10, -3) c. (-10, -3) d. (10, 3) 4, -2, 8, -½, 5 ¼ -2, -½, 4, 5 ¼, 8 Which quadrant is the point (8, 4) located? If Sam makes the X value negative, which quadrant does the point move to? If the original ordered pair is changed, so that the Y axis is negative, which quadrant does the point move to? I then to II then to IV Look at the point below. Reflect it over the Y Axis and then reflect it over the X Axis. What is the location of the new point? a. (4, -2) b. (-2, 4) c. (2, 4) d. (-4, -2) -4, -3.5, 3, 1.75, -.5,.65-4, -3.5, -.5,.65, 1.75, 3 What is the distance between (-12, 4) and (7, 4) in units? 19

5 Look at the point below. What is the distance from the point to the origin? What is the distance between (9,13) and (9, -6) in units? 19 a. 0 units b. 5 units c. 10 units d. 15 units -9/10, ¾, -1.25,.95, , -9/10, ¾,.95, 2

Extra Practice 1. Name Date. Lesson 4.1: Writing Equations to Describe Patterns

Extra Practice 1. Name Date. Lesson 4.1: Writing Equations to Describe Patterns Master 4.20 Extra Practice 1 Lesson 4.1: Writing Equations to Describe Patterns 1. In each equation, determine the value of A when n is 3. a) A = 2n + 1 b) A = 3n 2 c) A = 4n + 3 d) A = 30 2n 2. The pattern

More information

Extra Practice 1. Name Date. Lesson 4.1: Writing Equations to Describe Patterns

Extra Practice 1. Name Date. Lesson 4.1: Writing Equations to Describe Patterns Master 4.20 Extra Practice 1 Lesson 4.1: Writing Equations to Describe Patterns 1. In each equation, determine the value of A when n is 3. a) A = 2n + 1 b) A = 3n 2 c) A = 4n + 3 d) A = 30 2n 2. The pattern

More information

1)Write the integer that represents the opposite of each real-world. situation. In words, write the meaning of the opposite.

1)Write the integer that represents the opposite of each real-world. situation. In words, write the meaning of the opposite. 1) Write the integer that represents the opposite of each real-world situation. In words, write the meaning of the opposite. a. Example: An atom s positive charge of 7 Opposite: An atom s negative charge

More information

Ch 3 Exam Review. Plot the ordered pairs on the rectangular coordinate system provided. 3) A(1, 3), B(-5, 3)

Ch 3 Exam Review. Plot the ordered pairs on the rectangular coordinate system provided. 3) A(1, 3), B(-5, 3) Ch 3 Exam Review Note: These are only a sample of the type of problems that may appear on the exam. Keep in mind, anything covered in class can be covered on the exam. Solve the problem. 1) This bar graph

More information

( ). Switch x and y and solve for y:

( ). Switch x and y and solve for y: . Let y = f ( x). Switch x and y and solve for y: y! = x y = x + y = x + The inverse is f! (x) = x +.. Let y = f x y = x y = The inverse is f! (x) = 5. Let y = f x 8.2 The Inverse of a Function x x. y!

More information

Loiederman Middle School. Summer Math Packet C2.0 Algebra

Loiederman Middle School. Summer Math Packet C2.0 Algebra Loiederman Middle School Summer Math Packet C2.0 Algebra Dear Student and Parent, The purpose of this packet is to provide a review of objectives that were taught the previous school year and provide tasks

More information

RECAP!! Paul is a safe driver who always drives the speed limit. Here is a record of his driving on a straight road. Time (s)

RECAP!! Paul is a safe driver who always drives the speed limit. Here is a record of his driving on a straight road. Time (s) RECAP!! What is uniform motion? > Motion in a straight line > Moving at a constant speed Yes or No? Yes or No? Paul is a safe driver who always drives the speed limit. Here is a record of his driving on

More information

Name: Class: Date: Mini-Unit. Data & Statistics. Investigation 1: Variability & Associations in Numerical Data. Practice Problems

Name: Class: Date: Mini-Unit. Data & Statistics. Investigation 1: Variability & Associations in Numerical Data. Practice Problems Mini-Unit Data & Statistics Investigation 1: Variability & Associations in Numerical Data Practice Problems Directions: Please complete the necessary problems to earn a maximum of 5 points according to

More information

indicates that a student should be able to complete this item without a calculator.

indicates that a student should be able to complete this item without a calculator. HONORS ALGEBRA A Semester Eam Review The semester A eamination for Honors Algebra will consist of two parts. Part 1 will be selected response on which a calculator is NOT allowed. Part will be grid-in

More information

Understand Positive and Negative Numbers

Understand Positive and Negative Numbers Lesson. Understand Positive and Negative Numbers Positive integers are to the right of on the number line. Negative integers are to the left of on the number line. Opposites are the same distance from,

More information

UNIT 8: LINEAR FUNCTIONS WEEK 31: Student Packet

UNIT 8: LINEAR FUNCTIONS WEEK 31: Student Packet Name Period Date UNIT 8: LINEAR FUNCTIONS WEEK 31: Student Packet 31.1 Introduction to Systems of Equations Use variables to write equations and systems of equations. Solve problems involving rate, distance,

More information

HS Mathematics Item Specification C1 TL Task Model 1

HS Mathematics Item Specification C1 TL Task Model 1 Task Model 1 Matching Table DOK Level 1 F-IF.B.4 models a relationship quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a

More information

Assignment: Practice Exam Big Losers

Assignment: Practice Exam Big Losers Assignment: Practice Exam Big Losers AB Calculus - Hardtke Name Due Date: Tuesday, 4/30 Show all work and circle your answer. 1. A water tank contains 100 gallons of water at time t = 3 hours. Water is

More information

Kinematics 7 Solutions. 7.1 Represent and Reason a) The bike is moving at a constant velocity of 4 m/s towards the east

Kinematics 7 Solutions. 7.1 Represent and Reason a) The bike is moving at a constant velocity of 4 m/s towards the east Kinematics 7 Solutions 7.1 Represent and Reason a) The bike is moving at a constant velocity of 4 m/s towards the east b) For the same motion, a position versus time graph would be a straight line at a

More information

indicates that a student should be able to complete this item without a

indicates that a student should be able to complete this item without a The semester A eamination for Honors Algebra will consist of two parts. Part 1 will be selected response on which a calculator will NOT be allowed. Part will be short answer on which a calculator will

More information

Section 2.1. Increasing, Decreasing, and Piecewise Functions; Applications

Section 2.1. Increasing, Decreasing, and Piecewise Functions; Applications Section 2.1 Increasing, Decreasing, and Piecewise Functions; Applications Features of Graphs Intervals of Increase and Decrease A function is increasing when the graph goes up as you travel along it from

More information

Midterm Review Packet

Midterm Review Packet Algebra 1 CHAPTER 1 Midterm Review Packet Name Date Match the following with the appropriate property. 1. x y y x A. Distributive Property. 6 u v 6u 1v B. Commutative Property of Multiplication. m n 5

More information

East Greenwich Mathematics Summer Review Material for Students Entering Algebra I, Part II Directions:

East Greenwich Mathematics Summer Review Material for Students Entering Algebra I, Part II Directions: East Greenwich Mathematics Summer Review Material for Students Entering Algebra I, Part II 2016-2017 Directions: In order to earn full credit, show all work in the spaces provided. Do all work without

More information

Physics of Everyday Phenomena. Chapter 2

Physics of Everyday Phenomena. Chapter 2 Physics of Everyday Phenomena W. Thomas Griffith Juliet W. Brosing Chapter 2 Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction or display. Question 2.1 Ben leaves his home

More information

Section 2 Practice Tests

Section 2 Practice Tests Section Practice Tests This section gives 18 sample problems that mix and match concepts similar to problems on the free-response section of the AP exam. While any of these examples would be a good review

More information

2016 Grade 6 Final Review

2016 Grade 6 Final Review Name: Module 1 Integers 1. The table shows the weight losses and gains (in lbs.) for a dog over 6 months. 2016 Grade 6 Final Review 11. What is the LCM of 21 and 30? J A S O N D 3 2 4 0 3 4 Graph the losses

More information

Unit 1, Activity 1, Rational Number Line Cards - Student 1 Grade 8 Mathematics

Unit 1, Activity 1, Rational Number Line Cards - Student 1 Grade 8 Mathematics Unit, Activity, Rational Number Line Cards - Student Grade 8 Mathematics Blackline Masters, Mathematics, Grade 8 Page - Unit, Activity, Rational Number Line Cards - Student Blackline Masters, Mathematics,

More information

Ohio s State Tests PRACTICE TEST GEOMETRY. Student Name

Ohio s State Tests PRACTICE TEST GEOMETRY. Student Name Ohio s State Tests PRACTICE TEST GEOMETRY Student Name The Ohio Department of Education does not discriminate on the basis of race, color, national origin, sex, religion, age, or disability in employment

More information

M30-1: Polynomial, Radical and Rational Functions, Graphs and Equations Exam /20

M30-1: Polynomial, Radical and Rational Functions, Graphs and Equations Exam /20 Class: Date: ID: A M30-1: Polynomial, Radical and Rational Functions, Graphs and Equations Exam /20 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which

More information

Unit 2 Functions HW #1 Mrs. Dailey

Unit 2 Functions HW #1 Mrs. Dailey HW#1 Name Algebra II Unit 2 Functions HW #1 Mrs. Dailey 1) Determine for each of the following graphed relationships whether y is a function of x using the Vertical Line Test. 2) What are the outputs for

More information

+ 37,500. Discuss with your group how do you THINK you would represent 40 degrees below 0 as an integer?

+ 37,500. Discuss with your group how do you THINK you would represent 40 degrees below 0 as an integer? 6.1 Integers *I can use positive and negative numbers to show amounts in real-world situations and explain what the number 0 means in those situations. *I can recognize opposite signs of numbers as indicating

More information

112. x x 114. y x

112. x x 114. y x Section. Analyzing Graphs of Functions.. 9 9 8 8., and,. m 6 y y Slope 9 9 9 m y y y y y. 6, and, 6. m 6 9 y 6 9 9y 6 9y Slope 6 9 m 9 y 9 y 9 8 8y 8y 9 Section. Analyzing Graphs of Functions You should

More information

3C Histograms. Sample answer: The least value in the data is 1 and the greatest is 1,135. An interval of 200 would yield the frequency table below.

3C Histograms. Sample answer: The least value in the data is 1 and the greatest is 1,135. An interval of 200 would yield the frequency table below. POPULATION The list gives the approximate population density for each state. Choose intervals and make a frequency table. Then construct a histogram to represent the data. Sample answer: The least value

More information

Level 2 Mathematics and Statistics, 2015

Level 2 Mathematics and Statistics, 2015 91262 912620 2SUPERVISOR S Level 2 Mathematics and Statistics, 2015 91262 Apply calculus methods in solving problems 2.00 p.m. Tuesday 10 November 2015 Credits: Five Achievement Achievement with Merit

More information

Chapter 9: Modeling Our World Lecture notes Math 1030 Section A

Chapter 9: Modeling Our World Lecture notes Math 1030 Section A Section A.1: Functions: the Building Blocks of Mathematical Models Mathematical models The purpose of a mathematical model is to represent something real (like economic changes) and help us to understand

More information

Mathematics Sample Test Booklet Paper-Pencil Format Student Version, High School

Mathematics Sample Test Booklet Paper-Pencil Format Student Version, High School Mathematics Sample Test Booklet 2018 Paper-Pencil Format Student Version, High School This test booklet contains several different types of problems as shown below. Each sample shows what a certain type

More information

ACTM Regional Math Contest Pre-Calculus/Trigonometry 2010

ACTM Regional Math Contest Pre-Calculus/Trigonometry 2010 ACTM Regional Math Contest Pre-Calculus/Trigonometry 2010 Select the best answer for each of the following questions and mark it on the answer sheet provided. Be sure to read all of the answer choices

More information

REVIEW 2 SOLUTIONS MAT 167

REVIEW 2 SOLUTIONS MAT 167 REVIEW 2 SOLUTIONS MAT 167 p. 138 #15. Equations of tangent lines by definition (1) (a) Use definition (1) (p. 128) to find the slope of the line tangent to the graph of f (x) = x 2 5 at P = (3,4). The

More information

CALCULUS AB SECTION II, Part A

CALCULUS AB SECTION II, Part A CALCULUS AB SECTION II, Part A Time 45 minutes Number of problems 3 A graphing calculator is required for some problems or parts of problems. pt 1. The rate at which raw sewage enters a treatment tank

More information

Particle Motion Notes Position When an object moves, its position is a function of time. For its position function, we will denote the variable s(t).

Particle Motion Notes Position When an object moves, its position is a function of time. For its position function, we will denote the variable s(t). Particle Motion Notes Position When an object moves, its position is a function of time. For its position function, we will denote the variable s(t). Example 1: For s( t) t t 3, show its position on the

More information

Module 1: Basics and Background Lecture 5: Vector and Metric Spaces. The Lecture Contains: Definition of vector space.

Module 1: Basics and Background Lecture 5: Vector and Metric Spaces. The Lecture Contains: Definition of vector space. The Lecture Contains: Definition of vector space Dimensionality Definition of metric space file:///c /Documents%20and%20Settings/iitkrana1/My%20Documents/Google%20Talk%20Received%20Files/ist_data/lecture5/5_1.htm[6/14/2012

More information

AP Calculus AB 2015 Free-Response Questions

AP Calculus AB 2015 Free-Response Questions AP Calculus AB 015 Free-Response Questions College Board, Advanced Placement Program, AP, AP Central, and the acorn logo are registered trademarks of the College Board. AP Central is the official online

More information

PARTICLE MOTION: DAY 2

PARTICLE MOTION: DAY 2 PARTICLE MOTION: DAY 2 Section 3.6A Calculus AP/Dual, Revised 2018 viet.dang@humbleisd.net 7/30/2018 1:24 AM 3.6A: Particle Motion Day 2 1 WHEN YOU SEE THINK When you see Think Initially t = 0 At rest

More information

SYSTEMS OF THREE EQUATIONS

SYSTEMS OF THREE EQUATIONS SYSTEMS OF THREE EQUATIONS 11.2.1 11.2.4 This section begins with students using technology to eplore graphing in three dimensions. By using strategies that they used for graphing in two dimensions, students

More information

Algebra Readiness Practice Test

Algebra Readiness Practice Test Algebra Readiness Practice Test Short Answer Simplify. 1. 10 15 2 Write a number to represent the quantity. 2. a loss of five yards 3. The table shows the lowest point below sea level for five continents.

More information

Operations with Integers

Operations with Integers Operations with Integers Integers and Absolute Values Solve multi step real life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals),

More information

Lesson 20T ~ The Coordinate Plane

Lesson 20T ~ The Coordinate Plane Lesson 20T ~ The Coordinate Plane Name Period Date Write the ordered pair for each point on the coordinate plane below. 1. A (, ) 2. B (, ) 3. C (, ) For each ordered pair (, ): move right or left to find

More information

Math 6 Notes Integers

Math 6 Notes Integers We use positive and negative numbers dail in real life. Positive numbers are those numbers greater than zero. The can be written with a positive (+) sign in front of them, but we usuall write a positive

More information

2018 AP PHYSICS 1 FREE-RESPONSE QUESTIONS. PHYSICS 1 Section II 1 Questions Time 25 minutes

2018 AP PHYSICS 1 FREE-RESPONSE QUESTIONS. PHYSICS 1 Section II 1 Questions Time 25 minutes 2018 AP FREE-RESPONSE QUESTIONS Time 25 minutes Directions: Question 1 is a long free-response question that requires about 25 minutes to answer and is worth 12 points. Show your work for each part in

More information

Functions. Content Summary

Functions. Content Summary CHAPTER 7 Functions Content Summary In Chapter 7, students increase their understanding of linear growth and equations by looking in detail at the special kind of relation called a function. This section

More information

DOING BATTLE WITH RADICAL EQUATIONS EXAMPLES

DOING BATTLE WITH RADICAL EQUATIONS EXAMPLES DOING BATTLE WITH RADICAL EQUATIONS EXAMPLES 1. Inverse Operations Operations that undo each other, such as multiplication and division.. Warm-up Activity Ask students to rewrite each of the following

More information

Otterbein University Department of Physics Physics Laboratory Partner s Name: EXPERIMENT D FORCE VECTORS

Otterbein University Department of Physics Physics Laboratory Partner s Name: EXPERIMENT D FORCE VECTORS Name: Partner s Name: EXPERIMENT 1500-7 2D FORCE VECTORS INTRODUCTION A vector is represented by an arrow: it has a direction and a magnitude (or length). Vectors can be moved around the page without changing

More information

The Coordinate Plane and Linear Equations Algebra 1

The Coordinate Plane and Linear Equations Algebra 1 Name: The Coordinate Plane and Linear Equations Algebra Date: We use the Cartesian Coordinate plane to locate points in two-dimensional space. We can do this b measuring the directed distances the point

More information

Grade 6: Chapter 1 Practice Test & Vocabulary Review

Grade 6: Chapter 1 Practice Test & Vocabulary Review Name: Date: Class: Grade 6: Chapter 1 Practice Test & Vocabulary Review 1) One bus leaves a stop every minutes. A second bus leaves the same stop every minutes. If they both leave at PM, at what time will

More information

x

x Higher Revision Graph Plotting Grade: C. This formula gives the stopping distance, d metres, for a car travelling at x mph. d = x (0 + x) 00 (a) Complete this table. x 0 0 0 0 40 50 60 70 d 0 4 5 5 6 5

More information

AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA

AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA CALCULUS AB SECTION I, Part A Time 55 minutes Number of questions 8 A CALCULATOR MAY NOT BE USED ON THIS PART OF THE EXAM. Directions: Solve each of the following problems,

More information

8.1 The Language of Motion

8.1 The Language of Motion 8.1 The Language of Motion 1 VOCABULARY MAGNITUDE = size, amount or number (1, 15, 4..) DIRECTION = direction (east, west, left, up ) MAKE a FOLDABLE 3 Direction Makes Difference Jimmy lives 1 km from

More information

Mini Lecture 2.1 Introduction to Functions

Mini Lecture 2.1 Introduction to Functions Mini Lecture.1 Introduction to Functions 1. Find the domain and range of a relation.. Determine whether a relation is a function. 3. Evaluate a function. 1. Find the domain and range of the relation. a.

More information

MATH 099 Name (please print) FINAL EXAM - FORM A Winter 2015 Instructor Score

MATH 099 Name (please print) FINAL EXAM - FORM A Winter 2015 Instructor Score MATH 099 Name (please print) Winter 2015 Instructor Score Point-values for each problem are shown at the right in parentheses. PART I: SIMPLIFY AS MUCH AS POSSIBLE: 1. ( 16 c 12 ) 3 4 1. (2) 2. 52 m "7

More information

In #1 and 2, use inverse operations to solve each equation. 2.

In #1 and 2, use inverse operations to solve each equation. 2. In #1 and 2, use inverse operations to solve each equation. 1. 3x + 12 + 5x = 7 2. 1 (4x + 10) = x 5 2 3. Alex and Alyssa both have savings accounts. Alex has $515 and saves $23 per month. Alyssa has $725

More information

Looking Ahead to Chapter 10

Looking Ahead to Chapter 10 Looking Ahead to Chapter Focus In Chapter, you will learn about polynomials, including how to add, subtract, multiply, and divide polynomials. You will also learn about polynomial and rational functions.

More information

In this lesson, we will focus on quadratic equations and inequalities and algebraic methods to solve them.

In this lesson, we will focus on quadratic equations and inequalities and algebraic methods to solve them. Lesson 7 Quadratic Equations, Inequalities, and Factoring Lesson 7 Quadratic Equations, Inequalities and Factoring In this lesson, we will focus on quadratic equations and inequalities and algebraic methods

More information

Remember... Average rate of change slope of a secant (between two points)

Remember... Average rate of change slope of a secant (between two points) 3.7 Rates of Change in the Natural and Social Sciences Remember... Average rate of change slope of a secant (between two points) Instantaneous rate of change slope of a tangent derivative We will assume

More information

MAFS.8.F.1 Define, evaluate, and compare functions. Nonlinear functions may be included for identifying a function.

MAFS.8.F.1 Define, evaluate, and compare functions. Nonlinear functions may be included for identifying a function. Content Standard MAFS.8.F Functions Assessment Limits Calculator s Context A table of values for x and y is shown. x y 1 5 2 7 3 9 4 11 MAFS.8.F.1 Define, evaluate, and compare functions. MAFS.8.F.1.1

More information

Algebra 2 B Semester Exam Review

Algebra 2 B Semester Exam Review Algebra B Semester Exam Review 05-06 Answers Unit, Topic 3. a. y x y x. a. b. 3. a. LCM = x3x 4. Solution is x b. LCM = xx 9 A student who solves by cross multiplication will get x 0, x, with 0 being extraneous.

More information

Experiment 3. d s = 3-2 t ANALYSIS OF ONE DIMENSIONAL MOTION

Experiment 3. d s = 3-2 t ANALYSIS OF ONE DIMENSIONAL MOTION Experiment 3 ANALYSIS OF ONE DIMENSIONAL MOTION Objectives 1. To establish a mathematical relationship between the position and the velocity of an object in motion. 2. To define the velocity as the change

More information

Lesson 14: An Introduction to Domain and Range

Lesson 14: An Introduction to Domain and Range Exploratory Activity 1. Watch the Coin Counting video. What questions do you have? 2. What is the least amount of pennies that could be in the machine? Explain your thinking. 3. A. Make a guess about the

More information

Grade 6 - SBA Claim 1 Example Stems

Grade 6 - SBA Claim 1 Example Stems Grade 6 - SBA Claim 1 Example Stems This document takes publicly available information about the Smarter Balanced Assessment (SBA) in Mathematics, namely the Claim 1 Item Specifications, and combines and

More information

Algebra 2 Summer Recommendations

Algebra 2 Summer Recommendations Algebra Summer Recommendations Book section 0.1 Representing Functions Terminolog Quadrants, Relations, Functions, Domain, Range, Mapping 1. State the domain and range of each relation in set notation.

More information

8 th Grade Domain 2: Algebra and Functions (40%) Sara

8 th Grade Domain 2: Algebra and Functions (40%) Sara 8 th Grade Domain 2: Algebra and Functions (40%) 1. Tara creates a budget for her weekly expenses. The graph shows how much money is in the account at different times. Find the slope of the line and tell

More information

Free Response Questions Included in Training Module

Free Response Questions Included in Training Module Free Response Questions Included in Training Module Copyright 2011 Laying the Foundation, Inc. All right reserved. The materials included in these files are intended for noncommercial use by educators

More information

Find: sinθ. Name: Date:

Find: sinθ. Name: Date: Name: Date: 1. Find the exact value of the given trigonometric function of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.) Find: sinθ c a θ a a =

More information

( ) 0. Section 3.3 Graphs of Polynomial Functions. Chapter 3

( ) 0. Section 3.3 Graphs of Polynomial Functions. Chapter 3 76 Chapter 3 Section 3.3 Graphs of Polynomial Functions In the previous section we explored the short run behavior of quadratics, a special case of polynomials. In this section we will explore the short

More information

Northwest High School s Algebra 1. Summer Review Packet

Northwest High School s Algebra 1. Summer Review Packet Northwest High School s Algebra 1 Summer Review Packet This packet is optional! It will NOT be collected for a grade next school year! This packet has been designed to help you review various mathematical

More information

4. Based on the table below, what is the joint relative frequency of the people surveyed who do not have a job and have a savings account?

4. Based on the table below, what is the joint relative frequency of the people surveyed who do not have a job and have a savings account? Name: Period: Date: Algebra 1 Common Semester 1 Final Review 1. How many surveyed do not like PS4 and do not like X-Box? 2. What percent of people surveyed like the X-Box, but not the PS4? 3. What is the

More information

Part I: Multiple Choice Questions

Part I: Multiple Choice Questions Name: Part I: Multiple Choice Questions. What is the slope of the line y=3 A) 0 B) -3 ) C) 3 D) Undefined. What is the slope of the line perpendicular to the line x + 4y = 3 A) -/ B) / ) C) - D) 3. Find

More information

Which car/s is/are undergoing an acceleration?

Which car/s is/are undergoing an acceleration? Which car/s is/are undergoing an acceleration? Which car experiences the greatest acceleration? Match a Graph Consider the position-time graphs below. Each one of the 3 lines on the position-time graph

More information

Pre-Calc Chapter 1 Sample Test. D) slope: 3 4

Pre-Calc Chapter 1 Sample Test. D) slope: 3 4 Pre-Calc Chapter 1 Sample Test 1. Use the graphs of f and g to evaluate the function. f( x) gx ( ) (f o g)(-0.5) 1 1 0 4. Plot the points and find the slope of the line passing through the pair of points.

More information

A) y = -5x + 3 B) y = 5x 3 C) y = -5x 3 D) y = 5x + 3

A) y = -5x + 3 B) y = 5x 3 C) y = -5x 3 D) y = 5x + 3 For problems #1-4, use the following equation: 5.4 a.) b.) c.) 5.4 d.) none 1. What is the initial value?. What is the growth/decay factor?. What is the decay rate? 4. What is the growth rate? NAME Algebra

More information

Grade 6 Mathematics Item Specification C1 TD

Grade 6 Mathematics Item Specification C1 TD Task Model 1 Equation/Numeric 6.NS.C.5 Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation

More information

Sections Practice AP Calculus AB Name

Sections Practice AP Calculus AB Name Sections 4.1-4.5 Practice AP Calculus AB Name Be sure to show work, giving written explanations when requested. Answers should be written exactly or rounded to the nearest thousandth. When the calculator

More information

A C E. Applications. Applications Connections Extensions. 1. Sam needs to rent a car for a one-week trip in Oregon. He is considering two companies.

A C E. Applications. Applications Connections Extensions. 1. Sam needs to rent a car for a one-week trip in Oregon. He is considering two companies. A C E Applications Connections Extensions Applications 1. Sam needs to rent a car for a one-week trip in Oregon. He is considering two companies. a. Write an equation relating the rental cost for each

More information

Chapter Nine Chapter Nine

Chapter Nine Chapter Nine Chapter Nine Chapter Nine 6 CHAPTER NINE ConcepTests for Section 9.. Table 9. shows values of f(, ). Does f appear to be an increasing or decreasing function of? Of? Table 9. 0 0 0 7 7 68 60 0 80 77 73

More information

CORE. Chapter 3: Interacting Linear Functions, Linear Systems. Algebra Assessments

CORE. Chapter 3: Interacting Linear Functions, Linear Systems. Algebra Assessments CORE Algebra Assessments Chapter 3: Interacting Linear Functions, Linear Systems 97 98 Bears Band Booster Club The Bears Band Booster Club has decided to sell calendars to the band members and their parents.

More information

Intermediate Algebra Section 9.1 Composite Functions and Inverse Functions

Intermediate Algebra Section 9.1 Composite Functions and Inverse Functions Intermediate Algebra Section 9. Composite Functions and Inverse Functions We have added, subtracted, multiplied, and divided functions in previous chapters. Another way to combine functions is called composite

More information

Algebra II Summer Review To earn credit: Be sure to show all work in the area provided.

Algebra II Summer Review To earn credit: Be sure to show all work in the area provided. Summer Review for Students Who Will Take Algebra II in 2016-2017 1 Algebra II Summer Review To earn credit: Be sure to show all work in the area provided. Evaluating and Simplifying Applying Order of Operations:

More information

40 min NUMERACY. year. Use 2B or HB pencil only SESSION 2. Time available for students to complete test: 40 minutes

40 min NUMERACY. year. Use 2B or HB pencil only SESSION 2. Time available for students to complete test: 40 minutes NUMERACY NON-calculator year 0 0 min SESSION Time available for students to complete test: 0 minutes Use B or HB pencil only Australian Curriculum, Assessment and Reporting Authority, 0 YEAR NUMERACY (non-calculator)

More information

4. Based on the table below, what is the joint relative frequency of the people surveyed who do not have a job and have a savings account?

4. Based on the table below, what is the joint relative frequency of the people surveyed who do not have a job and have a savings account? Name: Period: Date: Algebra 1 Common Semester 1 Final Review Like PS4 1. How many surveyed do not like PS4 and do not like X-Box? 2. What percent of people surveyed like the X-Box, but not the PS4? 3.

More information

Student Sheet: Self-Assessment

Student Sheet: Self-Assessment Student s Name Date Class Student Sheet: Self-Assessment Directions: Use the space provided to prepare a KWL chart. In the first column, write things you already know about energy, forces, and motion.

More information

RELEASED. End-of-Grade Alternate Assessment Mathematics. Grade 8. Student Booklet

RELEASED. End-of-Grade Alternate Assessment Mathematics. Grade 8. Student Booklet Released Form READY NCEXTEND2 End-of-Grade Alternate Assessment Mathematics Grade 8 Student Booklet Academic Services and Instructional Support Division of Accountabilit Services Copright 2013 b the North

More information

Trigonometry Basics. Which side is opposite? It depends on the angle. θ 2. Y is opposite to θ 1 ; Y is adjacent to θ 2.

Trigonometry Basics. Which side is opposite? It depends on the angle. θ 2. Y is opposite to θ 1 ; Y is adjacent to θ 2. Trigonometry Basics Basic Terms θ (theta) variable for any angle. Hypotenuse longest side of a triangle. Opposite side opposite the angle (θ). Adjacent side next to the angle (θ). Which side is opposite?

More information

Proportional Relationships and Lines Unit Exam Part 1

Proportional Relationships and Lines Unit Exam Part 1 Name: Ms. Sam Date: Group: Proportional Relationships and Lines Unit Exam Part 1 Instructions: Be sure to read carefully all the directions in the exam. Read each question carefully and think about the

More information

East Greenwich Mathematics Summer Review Material for Students Entering Algebra I

East Greenwich Mathematics Summer Review Material for Students Entering Algebra I East Greenwich Mathematics Summer Review Material for Students Entering Algebra I 2016-2017 Directions: Print this document. Do all work on the review sheets. Be sure to show all work in order to earn

More information

Silver Spring International Middle School Algebra Summer Packet

Silver Spring International Middle School Algebra Summer Packet Name: Silver Spring International Middle School Algebra Summer Packet It is NOT mandatory to complete but, STRONGLY encouraged. MONTGOMERY COUNTY PUBLIC SCHOOLS SILVER SPRING INTERNATIONAL MIDDLE SCHOOL

More information

EE6-16 Equivalent Expressions Pages

EE6-16 Equivalent Expressions Pages EE6-6 Equivalent Expressions Pages 0 STANDARDS 6.EE.A.2, 6.EE.A.3, 6.EE.A. Goals Students will use the area of rectangles and the properties of operations to show that two expressions are equivalent. Vocabulary

More information

Multiple Representations: Equations to Tables and Graphs Transcript

Multiple Representations: Equations to Tables and Graphs Transcript Algebra l Teacher: It s good to see you again. Last time we talked about multiple representations. If we could, I would like to continue and discuss the subtle differences of multiple representations between

More information

Pre-Calc Trig ~1~ NJCTL.org. Unit Circle Class Work Find the exact value of the given expression. 7. Given the terminal point ( 3, 2 10.

Pre-Calc Trig ~1~ NJCTL.org. Unit Circle Class Work Find the exact value of the given expression. 7. Given the terminal point ( 3, 2 10. Unit Circle Class Work Find the exact value of the given expression. 1. cos π 3. sin 7π 3. sec π 3. tan 5π 6 5. cot 15π 6. csc 9π 7. Given the terminal point ( 3, 10 ) find tanθ 7 7 8. Given the terminal

More information

A. 8 B. 10 C. 10 D Which expression is equivalent to (x 3 ) 1?

A. 8 B. 10 C. 10 D Which expression is equivalent to (x 3 ) 1? Name: Date: 1. If 0.000000023 is expressed in the form 2.3 10 n, what is the value of n? 6. What is the product of (5 10 2 ) and (8.4 10 3 ) expressed in scientific notation? 2. In scientific notation,

More information

Maths GCSE Langdon Park Foundation Calculator pack A

Maths GCSE Langdon Park Foundation Calculator pack A Maths GCSE Langdon Park Foundation Calculator pack A Name: Class: Date: Time: 96 minutes Marks: 89 marks Comments: Q1. The table shows how 25 students travel to school. Walk Bus Car Taxi 9 8 7 1 Draw a

More information

Student Outcomes. Lesson Notes. Classwork. Opening Exercises 1 3 (5 minutes)

Student Outcomes. Lesson Notes. Classwork. Opening Exercises 1 3 (5 minutes) Student Outcomes Students calculate the decimal expansion of using basic properties of area. Students estimate the value of expressions such as. Lesson Notes For this lesson, students will need grid paper

More information

AP Calculus Free-Response Questions 1969-present AB

AP Calculus Free-Response Questions 1969-present AB AP Calculus Free-Response Questions 1969-present AB 1969 1. Consider the following functions defined for all x: f 1 (x) = x, f (x) = xcos x, f 3 (x) = 3e x, f 4 (x) = x - x. Answer the following questions

More information

NTI Work Day #1 Math. 4. What is the slope of the line that passes through the origin and (-3, -2)? a. 3 2 b. 2 3 c. 0 d. 2 3 e.

NTI Work Day #1 Math. 4. What is the slope of the line that passes through the origin and (-3, -2)? a. 3 2 b. 2 3 c. 0 d. 2 3 e. NTI Work Day #1 Math 1. 2 0 + 2 3 2 2 =? a. 4 b. 6 1 4 c. 7 d. 8 3 4 e. 9 3 4 2. The figure below is a graph of which of the following equations? a. y = -3x + 5 b. y = -2x + 2 c. y = 3 2 x 2 d. y = 2 3

More information

MULTIPLYING POLYNOMIALS. The student is expected to multiply polynomials of degree one and degree two.

MULTIPLYING POLYNOMIALS. The student is expected to multiply polynomials of degree one and degree two. MULTIPLYING POLYNOMIALS A.10B The student is expected to multiply polynomials of degree one and degree two. TELL ME MORE A polynomial is an expression that is a sum of several terms. Polynomials may contain

More information

Name: Geometry & Intermediate Algebra Summer Assignment

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

More information

Grade 8 - SBA Claim 1 Example Stems

Grade 8 - SBA Claim 1 Example Stems Grade 8 - SBA Claim 1 Example Stems This document takes publicly available information about the Smarter Balanced Assessment (SBA) in Mathematics, namely the Claim 1 Item Specifications, and combines and

More information