5 $75 6 $90 7 $105. Name Hour. Review Slope & Equations of Lines. STANDARD FORM: Ax + By = C. 1. What is the slope of a vertical line?


 Wilfrid Dorsey
 2 years ago
 Views:
Transcription
1 Review Slope & Equations of Lines Name Hour STANDARD FORM: Ax + By = C 1. What is the slope of a vertical line? 2. What is the slope of a horizontal line? 3. Is y = 4 the equation of a horizontal or vertical line? 4. Is x = 1 the equation of a horizontal or vertical line? 5. What quadrant is the point (3, 5) located? Finding Slope 6. Find the slope that passes through the following points: (2, 3), (1, 5) 7. Find the slope that passes through the following points: (4, 7), (12, 3) 8. Find the slope that passes through the following points: (3, 6), (3, 1) 9. Find the slope that passes through the following points: (6, 2), (1, 2) 10. Find the rate of change for the data in the table. Tickets Cost 5 $75 6 $90 7 $105
2 Use the graphs below to determine the slope of the line Graph the lines below. 14. x = y = Write the equation of the line in slopeintercept form with slope of 2 and yintercept of Write the equation of the line in slopeintercept form with slope of 1/2 and yintercept is Write the equation of the line in slopeintercept form with yintercept of 5 and slope of 2/ Write the equation of the line in pointslope form with a slope of 3 that passes through the point (6, 1). 20. Write the equation of the line in pointslope form with a slope of 3 that passes through the point (2, 4). 21. Write the equation of the line in pointslope form with a slope of 1/2 that passes through the point (2, 4). 22. Write the equation of the line that has a slope of 0 that passes through the point (4, 3). 23. Write the equation of the line where the slope is UNDEFINED and passes through the point (2, 1).
3 24. Identify the slope and yintercept and graph the equation: y = 2x + 5 slope = y int = 25. Graph the line using xintercepts and yintercepts: 4x + 3y = 12 xintercept: yintercept:
4 26. Find the x and y intercepts and graph the line: 2x + 5y = 10 xintercept: yintercept: 27. Write an equation for the lines in pointslope form passing through the points (1, 8) and (2, 1) 28. Write the equation for the line in pointslope form passing through the points (1, 6) and (3, 2). 29. Write the equation for the line through these points: (12, 1) and (12, 5) 30. Write the equation for the line through these points: (5, 1) and (2, 1). 31. Rewrite the equation in standard form: 2x  3y + 4 = Rewrite the equation in standard form: y = 4x + 7
5 Name Hour FORM A Slope & Equations of Lines TEST Good Luck!! STANDARD FORM: Ax + By = C 1. What is the slope of a horizontal line? 2. What is the slope of a vertical line? 3. What is the slope of the line y = 2? 4. What is the slope of the line x = 4? 5. What quadrant is the point (4, 3) located? Finding Slope 6. Find the slope that passes through the following points: (1, 3), (2, 6) 7. Find the slope that passes through the following points: (4, 10), (4, 3) 8. Find the slope that passes through the following points: (1, 2), (5, 2) 9. Find the rate of change for the data in the table. x y
6 Use the graphs below to determine the slope of the line Graph the lines below. 12. x = y = Write the equation of the line in slopeintercept form with slope of 1 and yintercept of Write the equation of the line in slopeintercept form with slope of 3/4 and yintercept is Write the equation of the line in slopeintercept form with yintercept of 3 and slope of Write the equation of the line in pointslope form with a slope of 5 that passes through the point (1, 3). 18. Write the equation of the line in pointslope form with a slope of 3 that passes through the point (5, 4). 19. Write the equation of the line in pointslope form with a slope of 4/5 that passes through the point (4, 8).
7 20. Write the equation of the line that has a slope of 0 that passes through the point (1, 6). 21. Write the equation of the line where the slope is UNDEFINED and passes through the point (4, 2). 22. Identify the slope and yintercept and graph the equation: y = x  3 slope = y int = 23. Graph the line using xintercepts and yintercepts: 5x + 10y = 30 xintercept: yintercept:
8 24. Write an equation for the lines in pointslope form passing through the points (4, 0) and (0, 4) 25. Write the equation for the line in pointslope form passing through the points (0, 3) and (1, 3). 26. Write the equation for the line through these points: (5, 1) and (5, 4) 27. Write the equation for the line through these points: (3, 2) and (2, 2). 28. Rewrite the equation in standard form: 5y + 3x  4 = 0 BONUS: Write the negative reciprocal of 4/5
9 Name Hour FORM B Slope & Equations of Lines TEST Good Luck!! STANDARD FORM: Ax + By = C 1. What is the slope of a horizontal line? 2. What is the slope of a vertical line? 3. What is the slope of the line x = 2? 4. What is the slope of the line y = 6? 5. What quadrant is the point (4, 3) located? Finding Slope 6. Find the slope that passes through the following points: (8, 10), (7, 14) 7. Find the slope that passes through the following points: (18, 12), (11, 12) 8. Find the slope that passes through the following points: (18, 20), (18, 15) 9. Find the rate of change for the data in the table. x y
10 Use the graphs below to determine the slope of the line Graph the lines below. 12. x = y = Write the equation of the line in slopeintercept form with slope of 4 and yintercept of Write the equation of the line in slopeintercept form with slope of 1 and yintercept is Write the equation of the line in slopeintercept form with yintercept of 8 and slope of 1/ Write the equation of the line in pointslope form with a slope of 6 that passes through the point (4, 1). 18. Write the equation of the line in pointslope form with a slope of 5 that passes through the point (1, 3). 19. Write the equation of the line in pointslope form with a slope of 3/4 that passes through the point (7, 2).
11 20. Write the equation of the line that has a slope of 0 that passes through the point (4, 9). 21. Write the equation of the line where the slope is UNDEFINED and passes through the point (1, 9). 22. Identify the slope and yintercept and graph the equation: y =  x  4 slope = y int = 23. Graph the line using xintercepts and yintercepts: 4x + 8y = 16 xintercept: yintercept:
12 24. Write an equation for the lines in pointslope form passing through the points (12, 5) and (0, 8) 25. Write the equation for the line in pointslope form passing through the points (19, 6) and (15, 16). 26. Write the equation for the line through these points: (3, 1) and 4, 1) 27. Write the equation for the line through these points: (3, 7) and (3, 2). 28. Rewrite the equation in standard form: 4y + 8x  24 = 0 BONUS: Write the negative reciprocal of 1/2
13 Name Hour FORM C Slope & Equations of Lines TEST Good Luck!! STANDARD FORM: Ax + By = C 1. What is the slope of a vertical line? 2. What is the slope of a horizontal line? 3. What is the slope of the line x = 5? 4. What is the slope of the line y = 4? 5. What quadrant is the point (4, 1) located? Finding Slope 6. Find the slope that passes through the following points: (3, 3), (2, 6) 7. Find the slope that passes through the following points: (4, 10), (7, 10) 8. Find the slope that passes through the following points: (4, 7), (4, 2) 9. Find the rate of change for the data in the table. x y
14 Use the graphs below to determine the slope of the line Graph the lines below. 12. x = y = Write the equation of the line in slopeintercept form with slope of 1 and yintercept of Write the equation of the line in slopeintercept form with slope of 4/5 and yintercept is Write the equation of the line in slopeintercept form with yintercept of 4 and slope of Write the equation of the line in pointslope form with a slope of 5 that passes through the point (3, 1). 18. Write the equation of the line in pointslope form with a slope of 2 that passes through the point (8, 3). 19. Write the equation of the line in pointslope form with a slope of 1/2 that passes through the point (2, 6).
15 20. Write the equation of the line that has a slope of 0 that passes through the point (4, 5). 21. Write the equation of the line where the slope is UNDEFINED and passes through the point (2, 3). 22. Identify the slope and yintercept and graph the equation: y = 1/2x 2 slope = y int = 23. Graph the line using xintercepts and yintercepts: 4x + 12y = 24 xintercept: yintercept:
16 24. Write an equation for the lines in pointslope form passing through the points (3, 1) and (17, 2) 25. Write the equation for the line in pointslope form passing through the points (6, 9) and (7, 9). 26. Write the equation for the line through these points: (1, 1) and (1, 4) 27. Write the equation for the line through these points: (3, 7) and (2, 7). 28. Rewrite the equation in standard form: 3y + 9x  18 = 0 BONUS: Write the negative reciprocal of 1/3
Linear Equations Review
Linear Equations Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The yintercept of the line y = 4x 7 is a. 7 c. 4 b. 4 d. 7 2. What is the yintercept
More informationChapter 2 Section 4: Equations of Lines. 4.* Find the equation of the line with slope 4 3, and passing through the point (0,2).
Chapter Section : Equations of Lines Answers to Problems For problems , put our answers into slope intercept form..* Find the equation of the line with slope, and passing through the point (,0).. Find
More informationSlopeIntercept Form of a Linear Equation Examples
SlopeIntercept Form of a Linear Equation Examples. In the figure at the right, AB passes through points A(0, b) and B(x, y). Notice that b is the yintercept of AB. Suppose you want to find an equation
More informationSection 1.4 Notes Page Linear Equations in Two Variables and Linear Functions., x
Section. Notes Page. Linear Equations in Two Variables and Linear Functions Slope Formula The slope formula is used to find the slope between two points ( x, y ) and ( ) x, y. x, y ) The slope is the vertical
More informationWarm Up. Write an equation given the slope and yintercept. Write an equation of the line shown.
Warm Up Write an equation given the slope and yintercept Write an equation of the line shown. EXAMPLE 1 Write an equation given the slope and yintercept From the graph, you can see that the slope is
More informationIn this section, we ll review plotting points, slope of a line and different forms of an equation of a line.
Math 1313 Section 1.2: Straight Lines In this section, we ll review plotting points, slope of a line and different forms of an equation of a line. Graphing Points and Regions Here s the coordinate plane:
More informationMATH 105: Finite Mathematics 11: Rectangular Coordinates, Lines
MATH 105: Finite Mathematics 11: Rectangular Coordinates, Lines Prof. Jonathan Duncan Walla Walla College Winter Quarter, 2006 Outline 1 Rectangular Coordinate System 2 Graphing Lines 3 The Equation of
More informationGraphing Linear Equations
Graphing Linear Equations I. Graphing Linear Equations a. The graphs of first degree (linear) equations will always be straight lines. b. Graphs of lines can have Positive Slope Negative Slope Zero slope
More informationName: Class: Date: Does the equation represent a direct variation? If so, find the constant of variation. c. yes; k = 5 3. c.
Name: Class: Date: Chapter 5 Test Multiple Choice Identify the choice that best completes the statement or answers the question. What is the slope of the line that passes through the pair of points? 1.
More informationSection 1.1 Linear Equations: Slope and Equations of Lines
Section. Linear Equations: Slope and Equations of Lines Slope The measure of the steepness of a line is called the slope of the line. It is the amount of change in y, the rise, divided by the amount of
More informationSection 3.4 The Slope Intercept Form: y = mx + b
SlopeIntercept Form: y = mx + b, where m is the slope and b is the yintercept Reminding! m = y x = y 2 y 1 x 2 x 1 Slope of a horizontal line is 0 Slope of a vertical line is Undefined Graph a linear
More informationLinear Equations and Graphs
2.12.4 Linear Equations and Graphs Coordinate Plane Quadrants  The xaxis and yaxis form 4 "areas" known as quadrants. 1. I  The first quadrant has positive x and positive y points. 2. II  The second
More information2.3 Writing Equations of Lines
. Writing Equations of Lines In this section ou will learn to use pointslope form to write an equation of a line use slopeintercept form to write an equation of a line graph linear equations using the
More informationSection 2.2 Equations of Lines
Section 2.2 Equations of Lines The Slope of a Line EXAMPLE: Find the slope of the line that passes through the points P(2,1) and Q(8,5). = 5 1 8 2 = 4 6 = 2 1 EXAMPLE: Find the slope of the line that passes
More informationWhat does the number m in y = mx + b measure? To find out, suppose (x 1, y 1 ) and (x 2, y 2 ) are two points on the graph of y = mx + b.
PRIMARY CONTENT MODULE Algebra  Linear Equations & Inequalities T37/H37 What does the number m in y = mx + b measure? To find out, suppose (x 1, y 1 ) and (x 2, y 2 ) are two points on the graph of
More informationSlopeIntercept Equation. Example
1.4 Equations of Lines and Modeling Find the slope and the y intercept of a line given the equation y = mx + b, or f(x) = mx + b. Graph a linear equation using the slope and the yintercept. Determine
More informationThe PointSlope Form
7. The PointSlope Form 7. OBJECTIVES 1. Given a point and a slope, find the graph of a line. Given a point and the slope, find the equation of a line. Given two points, find the equation of a line y Slope
More information4.1 & Linear Equations in SlopeIntercept Form
4.1 & 4.2  Linear Equations in SlopeIntercept Form SlopeIntercept Form: y = mx + b Ex 1: Write the equation of a line with a slope of 2 and a yintercept of 5. Ex 2:Write an equation of the line shown
More informationLinear Equations. Find the domain and the range of the following set. {(4,5), (7,8), (1,3), (3,3), (2,3)}
Linear Equations Domain and Range Domain refers to the set of possible values of the xcomponent of a point in the form (x,y). Range refers to the set of possible values of the ycomponent of a point in
More informationSection 1.10 Lines. The Slope of a Line
Section 1.10 Lines The Slope of a Line EXAMPLE: Find the slope of the line that passes through the points P(2,1) and Q(8,5). = 5 1 8 2 = 4 6 = 2 1 EXAMPLE: Find the slope of the line that passes through
More informationGRAPHING LINEAR EQUATIONS IN TWO VARIABLES
GRAPHING LINEAR EQUATIONS IN TWO VARIABLES The graphs of linear equations in two variables are straight lines. Linear equations may be written in several forms: SlopeIntercept Form: y = mx+ b In an equation
More informationMath 152 Rodriguez Blitzer 2.4 Linear Functions and Slope
Math 152 Rodriguez Blitzer 2.4 Linear Functions and Slope I. Linear Functions 1. A linear equation is an equation whose graph is a straight line. 2. A linear equation in standard form: Ax +By=C ex: 4x
More informationSolving Equations Involving Parallel and Perpendicular Lines Examples
Solving Equations Involving Parallel and Perpendicular Lines Examples. The graphs of y = x, y = x, and y = x + are lines that have the same slope. They are parallel lines. Definition of Parallel Lines
More information5.1: Rate of Change and Slope
5.1: Rate of Change and Slope Rate of Change shows relationship between changing quantities. On a graph, when we compare rise and run, we are talking about steepness of a line (slope). You can use and
More informationPractice Problems for Exam 1 Math 140A, Summer 2014, July 2
Practice Problems for Exam 1 Math 140A, Summer 2014, July 2 Name: INSTRUCTIONS: These problems are for PRACTICE. For the practice exam, you may use your book, consult your classmates, and use any other
More informationSect The SlopeIntercept Form
Concepts # and # Sect.  The SlopeIntercept Form SlopeIntercept Form of a line Recall the following definition from the beginning of the chapter: Let a, b, and c be real numbers where a and b are not
More informationOrdered Pairs. Graphing Lines and Linear Inequalities, Solving System of Linear Equations. Cartesian Coordinates System.
Ordered Pairs Graphing Lines and Linear Inequalities, Solving System of Linear Equations Peter Lo All equations in two variables, such as y = mx + c, is satisfied only if we find a value of x and a value
More information5. Equations of Lines: slope intercept & point slope
5. Equations of Lines: slope intercept & point slope Slope of the line m rise run SlopeIntercept Form m + b m is slope; b is intercept PointSlope Form m( + or m( Slope of parallel lines m m (slopes
More informationSection summaries. d = (x 2 x 1 ) 2 + (y 2 y 1 ) 2. 1 + y 2. x1 + x 2
Chapter 2 Graphs Section summaries Section 2.1 The Distance and Midpoint Formulas You need to know the distance formula d = (x 2 x 1 ) 2 + (y 2 y 1 ) 2 and the midpoint formula ( x1 + x 2, y ) 1 + y 2
More informationStudy Guide and Review  Chapter 4
State whether each sentence is true or false. If false, replace the underlined term to make a true sentence. 1. The yintercept is the ycoordinate of the point where the graph crosses the yaxis. The
More informationWARM UP EXERCSE. 13 Linear Functions & Straight lines
WARM UP EXERCSE A company makes and sells inline skates. The pricedemand function is p (x) = 190 0.013(x 10) 2. Describe how the graph of function p can be obtained from one of the library functions.
More informationPlot the following two points on a graph and draw the line that passes through those two points. Find the rise, run and slope of that line.
Objective # 6 Finding the slope of a line Material: page 117 to 121 Homework: worksheet NOTE: When we say line... we mean straight line! Slope of a line: It is a number that represents the slant of a line
More informationMany different kinds of animals can change their form to help them avoid or
Slopes, Forms, Graphs, and Intercepts Connecting the Standard Form with the SlopeIntercept Form of Linear Functions Learning Goals In this lesson, you will: Graph linear functions in standard form. Transform
More informationLINEAR FUNCTIONS. Form Equation Note Standard Ax + By = C A and B are not 0. A > 0
LINEAR FUNCTIONS As previousl described, a linear equation can be defined as an equation in which the highest eponent of the equation variable is one. A linear function is a function of the form f ( )
More informationWriting the Equation of a Line in SlopeIntercept Form
Writing the Equation of a Line in SlopeIntercept Form SlopeIntercept Form y = mx + b Example 1: Give the equation of the line in slopeintercept form a. With yintercept (0, 2) and slope 9 b. Passing
More informationThe slope m of the line passes through the points (x 1,y 1 ) and (x 2,y 2 ) e) (1, 3) and (4, 6) = 1 2. f) (3, 6) and (1, 6) m= 6 6
Lines and Linear Equations Slopes Consider walking on a line from left to right. The slope of a line is a measure of its steepness. A positive slope rises and a negative slope falls. A slope of zero means
More informationLines and Linear Equations. Slopes
Lines and Linear Equations Slopes Consider walking on a line from left to right. The slope of a line is a measure of its steepness. A positive slope rises and a negative slope falls. A slope of zero means
More information1.3 LINEAR EQUATIONS IN TWO VARIABLES. Copyright Cengage Learning. All rights reserved.
1.3 LINEAR EQUATIONS IN TWO VARIABLES Copyright Cengage Learning. All rights reserved. What You Should Learn Use slope to graph linear equations in two variables. Find the slope of a line given two points
More informationMath 10  Unit 7 Final Review  Coordinate Geometry
Class: Date: Math 10  Unit Final Review  Coordinate Geometry Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Determine the slope of this line segment.
More information2x  y 4 y 3x  6 y < 2x 5x  3y > 7
DETAILED SOLUTIONS AND CONCEPTS GRAPHICAL REPRESENTATION OF LINEAR INEQUALITIES IN TWO VARIABLES Prepared by Ingrid Stewart, Ph.D., College of Southern Nevada Please Send Questions and Comments to ingrid.stewart@csn.edu.
More informationA synonym is a word that has the same or almost the same definition of
SlopeIntercept Form Determining the Rate of Change and yintercept Learning Goals In this lesson, you will: Graph lines using the slope and yintercept. Calculate the yintercept of a line when given
More information1.6 A LIBRARY OF PARENT FUNCTIONS. Copyright Cengage Learning. All rights reserved.
1.6 A LIBRARY OF PARENT FUNCTIONS Copyright Cengage Learning. All rights reserved. What You Should Learn Identify and graph linear and squaring functions. Identify and graph cubic, square root, and reciprocal
More informationChapter 4.1 Parallel Lines and Planes
Chapter 4.1 Parallel Lines and Planes Expand on our definition of parallel lines Introduce the idea of parallel planes. What do we recall about parallel lines? In geometry, we have to be concerned about
More information2.1 Equations of Lines
Section 2.1 Equations of Lines 1 2.1 Equations of Lines The SlopeIntercept Form Recall the formula for the slope of a line. Let s assume that the dependent variable is and the independent variable is
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) m = y 2  y 1 x1  x 2
4.4.28 GraphingEquations of LinesSlope Interecpt MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) What is the
More informationI. Model Problems. II. Practice III. Challenge Problems VI. Answer Key
www.mathworksheetsgo.com On Twitter: twitter.com/mathprintables I. Model Problems. II. Practice III. Challenge Problems VI. Answer Key Web Resources Equations of Lines www.mathwarehouse.com/algebra/linear_equation/equationofalineformula.php
More informationEconomics 101 Homework #1 Fall 2014 Due 09/18/2014 in lecture
Economics 101 Homework #1 Fall 2014 Due 09/18/2014 in lecture Directions: The homework will be collected in a box before the lecture. Please place your name, TA name and section number on top of the homework
More informationMath 113 Review for Exam I
Math 113 Review for Exam I Section 1.1 Cartesian Coordinate System, Slope, & Equation of a Line (1.) Rectangular or Cartesian Coordinate System You should be able to label the quadrants in the rectangular
More informationAnswer Key Building Polynomial Functions
Answer Key Building Polynomial Functions 1. What is the equation of the linear function shown to the right? 2. How did you find it? y = ( 2/3)x + 2 or an equivalent form. Answers will vary. For example,
More informationLesson 9: Graphing Standard Form Equations Lesson 2 of 2. Example 1
Lesson 9: Graphing Standard Form Equations Lesson 2 of 2 Method 2: Rewriting the equation in slope intercept form Use the same strategies that were used for solving equations: 1. 2. Your goal is to solve
More information5.1 Writing Linear Equations in SlopeIntercept Form. 1. Use slopeintercept form to write an equation of a line.
5.1 Writing Linear Equations in SlopeIntercept Form Objectives 1. Use slopeintercept form to write an equation of a line. 2. Model a reallife situation with a linear function. Key Terms SlopeIntercept
More informationAlgebra 1 Chapter 05 Review
Class: Date: Algebra 1 Chapter 05 Review Multiple Choice Identify the choice that best completes the statement or answers the question. Find the slope of the line that passes through the pair of points.
More informationUnit III Practice Questions
Unit III Practice Questions 1. Write the ordered pair corresponding to each point plotted below. A F B E D C 2. Determine if the ordered pair ( 1, 2) is a solution of 2x + y = 4. Explain how you know.
More informationN.CN.7, A.CED.1, 2, 3, N.Q.2, A.SSE.1,
Learning Targets: I can solve interpret key features of quadratic functions from different form. I can choose a method to solve, and then, solve a quadratic equation and explain my reasoning. #1 4 For
More informationSection 1.4 Graphs of Linear Inequalities
Section 1.4 Graphs of Linear Inequalities A Linear Inequality and its Graph A linear inequality has the same form as a linear equation, except that the equal symbol is replaced with any one of,,
More informationWrite the Equation of the Line Review
Connecting Algebra 1 to Advanced Placement* Mathematics A Resource and Strategy Guide Objective: Students will be assessed on their ability to write the equation of a line in multiple methods. Connections
More informationName: Date: Block: Midterm Exam Review Sheet 1
Name: Date: Block: Midterm Exam Review Sheet 1 Chapter 1 1. Write a variable expression for 2. Simplify: 8 3 2 4 seven divided by the sum of x and five 3. Write an algebraic expression for 4. Write an
More informationCoordinate Plane, Slope, and Lines LongTerm Memory Review Review 1
Review. What does slope of a line mean?. How do you find the slope of a line? 4. Plot and label the points A (3, ) and B (, ). a. From point B to point A, by how much does the yvalue change? b. From point
More informationPreCalculus III Linear Functions and Quadratic Functions
Linear Functions.. 1 Finding Slope...1 Slope Intercept 1 Point Slope Form.1 Parallel Lines.. Line Parallel to a Given Line.. Perpendicular Lines. Line Perpendicular to a Given Line 3 Quadratic Equations.3
More informationEQUATIONS and INEQUALITIES
EQUATIONS and INEQUALITIES Linear Equations and Slope 1. Slope a. Calculate the slope of a line given two points b. Calculate the slope of a line parallel to a given line. c. Calculate the slope of a line
More informationPrecalculus Workshop  Functions
Introduction to Functions A function f : D C is a rule that assigns to each element x in a set D exactly one element, called f(x), in a set C. D is called the domain of f. C is called the codomain of f.
More informationBrunswick High School has reinstated a summer math curriculum for students Algebra 1, Geometry, and Algebra 2 for the 20142015 school year.
Brunswick High School has reinstated a summer math curriculum for students Algebra 1, Geometry, and Algebra 2 for the 20142015 school year. Goal The goal of the summer math program is to help students
More informationCHAPTER 2: POLYNOMIAL AND RATIONAL FUNCTIONS
CHAPTER 2: POLYNOMIAL AND RATIONAL FUNCTIONS 2.01 SECTION 2.1: QUADRATIC FUNCTIONS (AND PARABOLAS) PART A: BASICS If a, b, and c are real numbers, then the graph of f x = ax2 + bx + c is a parabola, provided
More informationChapter 2 Test Review
Name Chapter 2 Test Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. If the following is a polynomial function, then state its degree and leading
More informationCHAPTER 1 Linear Equations
CHAPTER 1 Linear Equations 1.1. Lines The rectangular coordinate system is also called the Cartesian plane. It is formed by two real number lines, the horizontal axis or xaxis, and the vertical axis or
More informationSlopeIntercept Form and PointSlope Form
SlopeIntercept Form and PointSlope Form In this section we will be discussing SlopeIntercept Form and the PointSlope Form of a line. We will also discuss how to graph using the SlopeIntercept Form.
More informationx x y y Then, my slope is =. Notice, if we use the slope formula, we ll get the same thing: m =
Slope and Lines The slope of a line is a ratio that measures the incline of the line. As a result, the smaller the incline, the closer the slope is to zero and the steeper the incline, the farther the
More information31 Exponential Functions
Sketch and analyze the graph of each function. Describe its domain, range, intercepts, asymptotes, end behavior, and where the function is increasing or decreasing. 1. f (x) = 2 x 4 16 2 4 1 2 0 1 1 0.5
More informationUnit 5: Coordinate Geometry Practice Test
Unit 5: Coordinate Geometry Practice Test Math 10 Common Name: Block: Please initial this box to indicate you carefully read over your test and checked your work for simple mistakes. What I can do in this
More information3.3. GRAPHS OF RATIONAL FUNCTIONS. Some of those sketching aids include: New sketching aids include:
3.3. GRAPHS OF RATIONAL FUNCTIONS In a previous lesson you learned to sketch graphs by understanding what controls their behavior. Some of those sketching aids include: yintercept (if any) xintercept(s)
More informationEquations of Lines Derivations
Equations of Lines Derivations If you know how slope is defined mathematically, then deriving equations of lines is relatively simple. We will start off with the equation for slope, normally designated
More informationBuilding Polynomial Functions
Building Polynomial Functions NAME 1. What is the equation of the linear function shown to the right? 2. How did you find it? 3. The slope yintercept form of a linear function is y = mx + b. If you ve
More informationPrinciples of Math 12  Transformations Practice Exam 1
Principles of Math 2  Transformations Practice Exam www.math2.com Transformations Practice Exam Use this sheet to record your answers. NR. 2. 3. NR 2. 4. 5. 6. 7. 8. 9. 0.. 2. NR 3. 3. 4. 5. 6. 7. NR
More informationWorksheet A5: Slope Intercept Form
Name Date Worksheet A5: Slope Intercept Form Find the Slope of each line below 1 3 Y           Graph the lines containing the point below, then find their slopes from counting on the graph!.
More informationSection 1.8 Coordinate Geometry
Section 1.8 Coordinate Geometry The Coordinate Plane Just as points on a line can be identified with real numbers to form the coordinate line, points in a plane can be identified with ordered pairs of
More information) represents the original function, will a, r 1
Transformations of Quadratic Functions Focus on Content: Download Problem Sets Problem Set #1 1. In the graph below, the quadratic function displayed on the right has been reflected over the yaxis producing
More informationMATH 60 NOTEBOOK CERTIFICATIONS
MATH 60 NOTEBOOK CERTIFICATIONS Chapter #1: Integers and Real Numbers 1.1a 1.1b 1.2 1.3 1.4 1.8 Chapter #2: Algebraic Expressions, Linear Equations, and Applications 2.1a 2.1b 2.1c 2.2 2.3a 2.3b 2.4 2.5
More informationLesson 8.3 Exercises, pages
Lesson 8. Eercises, pages 57 5 A. For each function, write the equation of the corresponding reciprocal function. a) = 5  b) = 5 c) =  d) =. Sketch broken lines to represent the vertical and horizontal
More informationMath 155 (DoVan) Exam 1 Review (Sections 3.1, 3.2, 5.1, 5.2, Chapters 2 & 4)
Chapter 2: Functions and Linear Functions 1. Know the definition of a relation. Math 155 (DoVan) Exam 1 Review (Sections 3.1, 3.2, 5.1, 5.2, Chapters 2 & 4) 2. Know the definition of a function. 3. What
More informationLines, Lines, Lines!!! SlopeIntercept Form ~ Lesson Plan
Lines, Lines, Lines!!! SlopeIntercept Form ~ Lesson Plan I. Topic: SlopeIntercept Form II. III. Goals and Objectives: A. The student will write an equation of a line given information about its graph.
More informationCreating Equations. Set 3: Writing Linear Equations Instruction. Student Activities Overview and Answer Key
Creating Equations Instruction Goal: To provide opportunities for students to develop concepts and skills related to writing linear equations in slopeintercept and standard form given two points and a
More informationEffects of changing slope or yintercept
Teacher Notes Parts 1 and 2 of this lesson are to be done on the calculator. Part 3 uses the TINavigator System. Part 1: Calculator Investigation of changing the yintercept of an equation In your calculators
More informationCOMPARING LINEAR AND NONLINEAR FUNCTIONS
1 COMPARING LINEAR AND NONLINEAR FUNCTIONS LEARNING MAP INFORMATION STANDARDS 8.F.2 Compare two s, each in a way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example,
More informationWhat students need to know for... ALGEBRA II
What students need to know for... ALGEBRA II 20152016 NAME Students expecting to take Algebra II at Cambridge Rindge & Latin School should demonstrate the ability to... General: o Keep an organized notebook
More informationGraphing  Parallel and Perpendicular Lines
. Graphing  Parallel and Perpendicular Lines Objective: Identify the equation of a line given a parallel or perpendicular line. There is an interesting connection between the slope of lines that are parallel
More informationMA.8.A.1.2 Interpret the slope and the x and yintercepts when graphing a linear equation for a realworld problem. Constant Rate of Change/Slope
MA.8.A.1.2 Interpret the slope and the x and yintercepts when graphing a linear equation for a realworld problem Constant Rate of Change/Slope In a Table Relationships that have straightlined graphs
More informationGRAPHING (2 weeks) Main Underlying Questions: 1. How do you graph points?
GRAPHING (2 weeks) The Rectangular Coordinate System 1. Plot ordered pairs of numbers on the rectangular coordinate system 2. Graph paired data to create a scatter diagram 1. How do you graph points? 2.
More informationHelpsheet. Giblin Eunson Library LINEAR EQUATIONS. library.unimelb.edu.au/libraries/bee. Use this sheet to help you:
Helpsheet Giblin Eunson Library LINEAR EQUATIONS Use this sheet to help you: Solve linear equations containing one unknown Recognize a linear function, and identify its slope and intercept parameters Recognize
More informationGraphing  SlopeIntercept Form
2.3 Graphing  SlopeIntercept Form Objective: Give the equation of a line with a known slope and yintercept. When graphing a line we found one method we could use is to make a table of values. However,
More informationAlgebraic expressions are a combination of numbers and variables. Here are examples of some basic algebraic expressions.
Page 1 of 13 Review of Linear Expressions and Equations Skills involving linear equations can be divided into the following groups: Simplifying algebraic expressions. Linear expressions. Solving linear
More informationGraphing Linear Equations in Two Variables
Math 123 Section 3.2  Graphing Linear Equations Using Intercepts  Page 1 Graphing Linear Equations in Two Variables I. Graphing Lines A. The graph of a line is just the set of solution points of the
More informationAlgebra. Indiana Standards 1 ST 6 WEEKS
Chapter 1 Lessons Indiana Standards  11 Variables and Expressions  12 Order of Operations and Evaluating Expressions  13 Real Numbers and the Number Line  14 Properties of Real Numbers  15 Adding
More informationThe Perpendicular Bisector of a Segment
Check off the steps as you complete them: The Perpendicular Bisector of a Segment Open a Geometry window in Geogebra. Use the segment tool of draw AB. Under the point tool, select Midpoint of Center, and
More informationSlopeIntercept Quiz. Name: Class: Date: 1. Graph the line with the slope 1 and yintercept 3. a. c. b. d.
Name: Class: Date: ID: A SlopeIntercept Quiz 1. Graph the line with the slope 1 and yintercept 3. a. c. b. d.. Write the equation that describes the line with slope = and yintercept = 3 a. x + y = 3
More informationVocabulary Words and Definitions for Algebra
Name: Period: Vocabulary Words and s for Algebra Absolute Value Additive Inverse Algebraic Expression Ascending Order Associative Property Axis of Symmetry Base Binomial Coefficient Combine Like Terms
More informationPractice Test  Chapter 4. y = 2x 3. The slopeintercept form of a line is y = mx + b, where m is the slope, and b is the yintercept.
y = 2x 3. The slopeintercept form of a line is y = mx + b, where m is the slope, and b is the yintercept. Plot the yintercept (0, 3). The slope is. From (0, 3), move up 2 units and right 1 unit. Plot
More informationCourse Name: Course Code: ALEKS Course: Instructor: Course Dates: Course Content: Textbook: Dates Objective Prerequisite Topics
Course Name: MATH 1204 Fall 2015 Course Code: N/A ALEKS Course: College Algebra Instructor: Master Templates Course Dates: Begin: 08/22/2015 End: 12/19/2015 Course Content: 271 Topics (261 goal + 10 prerequisite)
More informationLesson 36 MA 152, Section 3.1
Lesson 36 MA 5, Section 3. I Quadratic Functions A quadratic function of the form y = f ( x) = ax + bx + c, where a, b, and c are real numbers (general form) has the shape of a parabola when graphed. The
More informationPreAP Geometry Summer Assignment (Required Foundational Concepts)
Name: PreAP Geometry Summer Assignment (Required Foundational Concepts) PreAP Geometry is a rigorous critical thinking course. Our epectation is that each student is fully prepared. Therefore, the following
More informationMATH 111: EXAM 02 SOLUTIONS
MATH 111: EXAM 02 SOLUTIONS BLAKE FARMAN UNIVERSITY OF SOUTH CAROLINA Answer the questions in the spaces provided on the question sheets and turn them in at the end of the class period Unless otherwise
More information