Unit 3a. [Graphing Linear Equations] Name: Teacher: Per: Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9 Unit 10
|
|
- Lester Cain
- 5 years ago
- Views:
Transcription
1 Name: Teacher: Per: Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9 Unit 10 Unit 3a [Graphing Linear Equations] Unit 2 Solving Equations 1
2 To be a Successful Algebra class, TIGERs will show #TENACITY during our practice, have I attempt all practice I attempt all homework I never give up when I don t understand #INTEGRITY as we help others with their work, maintain a #GO-FOR-IT attitude, continually I always check my answers I correct my work, I never just copy answers I explain answers, I never just give them I write down all notes, even if I m confused I remain positive about my goals I treat each day as a chance to reset #ENCOURAGE each other to succeed as a team, and always #REACH-OUT and ask for help when we need it! I offer help when I understand the material I push my teammates to reach their goals I never let my teammates give up I ask my questions during homework check I ask my teammates for help during practice I attend enrichment/tutorials when I need to Unit 2 Solving Equations 2
3 Unit Calendar MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY October Graphing from a Table Slope Slope QUIZ Slope Intercept Form Parent Function And Transformations Student Holiday Slope Intercept Form QUIZ PSAT Standard Form and Intercepts Standard to Slope Intercept Form Solving for Slope Intercept Form Review TEST Essential Questions What does it mean for relationship to be a linear function? How can linear functions be used to model problem situations? What are the critical features of a graph and how can they help me solve this problem? How can a value of a function be represented? What is the meaning of slope and how do I find it in this situation? Unit 2 Solving Equations 3
4 Critical Vocabulary Linear Function Parent Function Slope x-intercept / Zero y-intercept Direct Variation Parallel Perpendicular Unit 2 Solving Equations 4
5 Graphing from a Table Examples: Equation: y = 3x 5 Table x y Graph Equation: y = 2x + 6 Table Graph x y To babysit my younger brother, my mom gives me $5 and an extra $2 per hour Equation: y = Table x y Graph Equation: y = 2 3 x + 5 Table x y Graph Unit 2 Solving Equations 5
6 Practice: Equation: y = 2x 4 x y With no money in my bank, I started saving $3 every week Equation: y = x y Equation: y = 4x + 3 x y My box of chocolates had 5 pieces in it I ate one piece each class period Equation: y = x y Equation: y = 1 3 x 4 x y Equation: y = 3 2 x + 4 x y Unit 2 Solving Equations 6
7 Unit 2 Solving Equations 7
8 Slope The slope of a line is the measure of how the line is Slope is directly related to the in a rule Slope Formula: m = y 2 y 1 x 2 x 1 Change in y Change in x Rise Run Positive Negative Zero (0) Undefined Increases from Left to Right Decreases from Left to Right Stays the same (constant) from Left to Right Not a function, so no definition for slope Unit 2 Solving Equations 8
9 Examples: Slope Formula: m = y 2 y 1 x 2 x 1 Table 2 - Points Graph Situation x y ( -2, 12 ) and ( 1, 6 ) I have $8 to spend on snacks during the week Each snack I purchase costs $2 x y ( 0, 5 ) and (-2, 2 ) Every 2 months I have to pay a $3 charge to keep my account open Originally, I had to pay a $5 fee to open the account x y ( -1, 4 ) and (2, 4 ) A solar powered go cart began moving at 4 mph and never changed speed x y ( -3, -2 ) and ( -3, 1 ) N/A This is not a function, so it does not have a situation to match it Unit 2 Solving Equations 9
10 Practice: x y ( 1, 3 ) and ( 7, 6 ) I am paying my friend back $4 every week from the $20 I borrowed from her m = m = m = m = x Y ( 0, 0 ) and ( 9, -6 ) x y m = m = m = m = Benjamin got a $40 gift card to Starbucks for his birthday His favorite drink costs $3 each time he goes ( 4, -1 ) and ( 4, 9 ) Every 6 months I pay my car insurance $131, plus I paid an intial fee of $25 when I signed up m = m = m = m = x y ( 4, -5 ) and ( -2, -7 ) x y m = m = m = m = Unit 2 Solving Equations 10
11 Unit 2 Solving Equations 11
12 Slope Intercept Form Slope-Intercept Form: The equation of a line written in a form that includes both the and the - (m) (b) Examples: y = 3x 5 y = x + 7 y = 4x y = 1 4 x 5 y = 3 2 x + 7 y = 2 5 x Unit 2 Solving Equations 12
13 Special Cases: Horizontal and Vertical Lines H O Y Horizontal Line Zero Slope 0 5 y = constant y = 2 V Vertical Line U Undefined Slope 3 0 X x = constant x = 4 Examples: y = 2 x = 2 y = 2x Unit 2 Solving Equations 13
14 Practice: y = 2x + 3 y = 2 3 x + 1 y = 6 y = 3x y = x 5 y = 4 3 x 1 x = 7 y = 3 2 x y = 4x + 9 Unit 2 Solving Equations 14
15 Linear Parent Function and Transformations Transformations: The parts of an equation that change the shape or position of a graph/line Slope / Steepness: Ignoring the negative, if the slope is greater than one then the line is steeper y = x y = 4x y = 5 2 x **Improper Fractions Ignoring the negative, if the slope is less than one then the line is less steep y = x y = 1 2 x **Proper Fractions Unit 2 Solving Equations 15
16 Tran SL ation: SL ide If there is a constant (regular number with no variable), the change is a vertical shift or slide of the line y = 1 2 x y = 1 2 x + 3 Re FL ection: FL ip If the coefficient (number in front) of x is negative, the change is a vertical flip of the line y = 1 2 x + 3 y = 1 2 x + 3 Parent Function: The most basic form of a graph (No Transformations) Linear Parent Function: y = x y = +1x + 0 No Reflection, Slope of 1, No Translation Unit 2 Solving Equations 16
17 Examples: y = 4x 3 Steepness: More Steep Less Steep No Change Translation: Shift Up Shift Down No Change Reflection: Reflection No Change Parent Function Transformed Equation Steepness: More Steep Less Steep No Change y = 2 5 x + 1 Translation: Shift Up Shift Down No Change Reflection: Reflection No Change Parent Function Transformed Equation Equation Steepness Translation Reflection y = 4 3 x + 5 y = 3x y = x 27 Unit 2 Solving Equations 17
18 Practice: y = 4 3 x + 1 Steepness: More Steep Less Steep No Change Translation: Shift Up Shift Down No Change Refelction: Reflection No Change Parent Function Transformed Equation Equation Steepness Translation Reflection y = 6x + 5 y = 2 7 x 1 y = x y = 3x 8 y = 3 2 x 6 y = x + 4 y = 1 4 x y = x 35 Unit 2 Solving Equations 18
19 Unit 2 Solving Equations 19
20 Slope Intercept Form (Applications) Examples: I owe my friend $10 and I plan to pay them back $2 each day The equation that models this situation is y = 2x 10 A) What does the y represent? B) What does the x represent? C) What does the 2 represent? D) What does the 10 represent? E) Why is the 10 negative in this problem? G) Graph the equation F) Would this be continuous or discrete? H) What is a reasonable domain for this problem? Gina has a $30 gift card to Starbuck s Every time she buys a coffee she is charged $3 A) Write an equation in Slope-Intercept Form to represent the problem B) Why did you choose the sign of 3 to be positive or negative? C) If we doubled the constant in the equation, what would that represent in the problem? D) What is a reasonable domain for this situation? E) Is this situation discrete or continuous? Unit 2 Solving Equations 20
21 Practice: Chris does a lot of babysitting When parents drop off their children and Chris can supervise at home, the hourly rate is $3 If Chris has to travel to the child s home, there is a fixed charge of $5 for transportation in addition to the $3 hourly rate A) Write an equation for when he watches the kids at home? B) Write an equation for when he needs to travel to watch the kids? C) Graph both Lines D) Will a parent dropping off their kid ever pay more than if Chris has to travel to their home? E) If in 3 years, Chris has a new equation, y = 5x + 10, what has changed in this problem? The charges for Anderson s Plumbing can be modeled by the following equation, where, C, is the total cost for plumbing services that last, h, hours: C 40 25h A) What does the 25 represent in this situation? B) What does the 40 represent in this situation? The cost of dinner at a sweet 16 party is $300 plus $10 per person A) What is the equation that models this situation? B) What does the y-intercept represent? C) What does the slope represent? D) Find the cost for 50 guests Unit 2 Solving Equations 21
22 Laura is on a 2 day hike in the Smoky Mountains She hiked 8 miles the first day and is hiking at a rate of 3 mi/h on the second day Her total distance is a function of the time she hikes A) What is the equation that models this situation? B) What does the y-intercept represent? C) What does the slope represent? D) What will be Laura s total distance if she hikes 6 hours on the second day? The equation for a car driving away from Katy is represented by the equation: y 46x, where y is the distance from Katy after x hours A) What does y represent in this problem? B) What does x represent in this problem? C) What is the meaning of the slope? D) What would the slope and y-intercept in the equation y 46x 184 represent? The Star Car Rental Company charges a flat fee of $30 plus $025 per mile to rent a car A) Which value would be considered the y-intercept or beginning value? B) Which value would be considered the slope or rate of change? C) Write the equation for this situation D) If You only had $50 to spend on the rental car, how many miles could you drive? Unit 2 Solving Equations 22
23 Unit 2 Solving Equations 23
24 Standard Form and Intercepts Standard Form: The equation of a line written in the form Ax + By = C A is always positive and C is a constant x - intercept: The point where a graph touches the x axis (, 0 ) y - intercept: The point where a graph touches the y axis ( 0, ) Examples: Equation: 3x + 5y = 30 x intercept: (, 0 ) y intercept: ( 0, ) Equation: 4x 6y = -12 Unit 2 Solving Equations 24
25 Practice: Equation: 2x + 8y = -16 Equation: 5x 10y = 20 Equation: 9x + 3y = 18 Equation: 10x 5y = -30 Equation: 4x + 6y = -24 Equation: 8x 8y = 32 Unit 2 Solving Equations 25
26 Solving Standard Form for Slope Intercept Form Examples: Equation: 9x + 3y = 18 Solve for Slope-Intercept Form: 9x + 3y = 18 Equation: 2x + 8y = -8 Solve for Slope-Intercept Form: 2x + 8y = -8 Unit 2 Solving Equations 26
27 Practice: Equation: 5x 10y = 30 Solve for Slope-Intercept Form: 5x 10y = 30 Equation: 7x 7y = 56 Solve for Slope-Intercept Form: 7x 7y = 56 Continued Unit 2 Solving Equations 27
28 Equation: 4x + 6y = -12 Solve for Slope-Intercept Form: 4x + 6y = -12 Equation: 10x 5y = -40 Solve for Slope-Intercept Form: 10x 5y = -40 Unit 2 Solving Equations 28
29 Verifying Solutions Solution (to a line): Is ( -1, 4 ) a solution to 2y + 2 = 6x Any order pair that is a part of the line Solve and graph 2y + 2 = 6x Is ( 2, -3 ) a solution to 2x + 3y + 15 = 0 Solve and graph 2x + 3y + 15 = 0 Is ( 4, 2 ) a solution to 2y = 8 Solve and graph 2y = 8 Is ( -3, 5 ) a solution to x + 3 = 0 Solve and graph x + 3 = 0 Unit 2 Solving Equations 29
30 Practice: Is ( 0, -5 ) a solution to 3y + 4x = 15 Solve and graph 3y + 4x = 15 Is ( -5, -2 ) a solution to x + y = 3 Solve and graph x + y = 3 Is ( 2, 0 ) a solution to 3x + 2y 8 = 0 Solve and graph 3x + 2y 8 = 0 Is ( 2, -2 ) a solution to 6x = 12 Solve and graph 6x = 12 Continued Unit 2 Solving Equations 30
31 Is ( -6, -1 ) a solution to 2x + 6y = 6 Solve and graph 2x + 6y = 6 Is ( 0, -2 ) a solution to 4y 3x = 8 Solve and graph 4y 3x = 8 Is ( 2, -2 ) a solution to y 5 = 3 Solve and graph y 5 = 3 Is ( 1, 5 ) a solution to x + y = 4 Solve and graph x + y = 4 Unit 2 Solving Equations 31
32 Unit 2 Solving Equations 32
33 Unit 2 Solving Equations 33
34 Unit 2 Solving Equations 34
Name: Teacher: Per: Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9 Unit 10. Unit 4. [Writing Linear Equations]
Name: Teacher: Per: Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9 Unit 10 Unit 4 [Writing Linear Equations] Find the equation of a line that has slope m = 4 and passes through the point
More informationName: Teacher: Per: Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9 Unit 10. Unit 9a. [Quadratic Functions] Unit 9 Quadratics 1
Name: Teacher: Per: Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9 Unit 10 Unit 9a [Quadratic Functions] Unit 9 Quadratics 1 To be a Successful Algebra class, TIGERs will show #TENACITY
More informationName: Teacher: Per: Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9 Unit 10. Unit 8. [Polynomials] Unit 8 Polynomials 1
Name: Teacher: Per: Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9 Unit 10 Unit 8 [Polynomials] Unit 8 Polynomials 1 To be a Successful Algebra class, TIGERs will show #TENACITY during
More information4. The table shows the number of toll booths driven through compared to the cost of using a Toll Tag.
ALGEBRA 1 Fall 2016 Semester Exam Review Name 1. According to the data shown below, which would be the best prediction of the average cost of a -bedroom house in Georgetown in the year 2018? Year Average
More informationNAME DATE PER. FALL FINAL EXAM REVIEW ALGEBRA 1 Solve = 6 3v = -3(c + 5)
FINAL EXAM REVIEW, p. 1 NAME DATE PER. FALL FINAL EXAM REVIEW ALGEBRA 1 Solve. 1. 24 = 6 3v 2. 12 = -3(c + 5) 3. 5 2(x 3) = 63 4. 7x + 2(x - 5) = 4(x + 8) 5. r 1 10 3 2 6. x 1 2x 2 5 4 Write an equation,
More informationAlgebra I Practice Exam
Algebra I This practice assessment represents selected TEKS student expectations for each reporting category. These questions do not represent all the student expectations eligible for assessment. Copyright
More informationAlgebra I H Semester 1 Practice Exam
4. Find the product: 8 0 5 7 5 4 0 40 5 48 48 40 4 0 40 5 5 4 0 5 7 5 4 4 0 5 7 48 5. Find the difference of the matrices:. Which box-and-whisker plot below represents the following set of data: {0, 4,,
More informationAlgebra 1 Fall Semester Final Review Name
It is very important that you review for the Algebra Final. Here are a few pieces of information you want to know. Your Final is worth 20% of your overall grade The final covers concepts from the entire
More informationName Period Date DRAFT
Name Period Date Equations and Inequalities Student Packet 4: Inequalities EQ4.1 EQ4.2 EQ4.3 Linear Inequalities in One Variable Add, subtract, multiply, and divide integers. Write expressions, equations,
More informationAlgebra 1 Spencer Unit 4 Notes: Inequalities and Graphing Linear Equations. Unit Calendar
Algebra 1 Spencer Unit 4 Notes: Inequalities and Graphing Linear Equations Unit Calendar Date Topic Homework Nov 5 (A ) 6.1 Solving Linear Inequalities +/- 6.2 Solving Linear Inequalities x/ 6.3 Solving
More informationAlgebra 1 PAP Fall Exam Review
Name: Pd: 2016-2017 Algebra 1 PAP Fall Exam Review 1. A collection of nickels and quarters has a value of $7.30. The value of the quarters is $0.80 less than triple the value of the nickels. Which system
More informationChapter 2 Linear Relationships. Vocabulary
Chapter 2 Linear Relationships Monday Tuesday Wednesday Thursday Friday Sept. 2 Lesson: 2.1.1/2.1.2 Sept. 3 Lesson: 2.1.3/2.1.4 Sept. 4 Lesson: 2.2.2 HW: Day 1 2-6 2-10 2-19 2-24 HW: Day 2 2-31 2-35 2-41
More informationName Algebra 1 Midterm Review Period. = 10 4x e) x ) Solve for y: a) 6x 3y = 12 b) 4y 8x = 16
Name Algebra 1 Date Midterm Review Period 1) Solve each equation: a) x 2x + 2 = 3 b) 5 5 + 9 = 13 c) 64 = 9x +1 d) x 7 2 = 10 4x e) x + 2 3 = 3x 2) Solve for y: a) 6x 3y = 12 b) 4y 8x = 16 3) Solve and
More informationNAME DATE PER. FALL FINAL EXAM REVIEW ALGEBRA 1 Solve = 6 3v = -3(c + 5)
FINAL EXAM REVIEW, p. 1 NAME DATE PER. FALL FINAL EXAM REVIEW ALGEBRA 1 Solve. 1. = 6 v. 1 = -(c + 5). 5 (x ) = 6. 7x + = 5x + 8 5. r 1 1 6. x 1 x 5 Write an equation, and then solve. 7. Ben joined The
More informationx y
Name Date Period Slope Review 1. Callie and Jeff each have a job delivering newspapers. Jeff gets paid $140 dollars for delivering 350 papers. Callie gets paid $100 for delivering 200 papers. a. Find the
More information3-4 Equations of Lines
Write an equation in slope-intercept form of the line having the given slope and y-intercept. Then graph the line. 1. m: 4, y-intercept: 3 3. y-intercept: 5 y = 4x 3 2. y-intercept: 1 Write an equation
More informationALGEBRA I SEMESTER EXAMS PRACTICE MATERIALS SEMESTER Use the diagram below. 9.3 cm. A = (9.3 cm) (6.2 cm) = cm 2. 6.
1. Use the diagram below. 9.3 cm A = (9.3 cm) (6.2 cm) = 57.66 cm 2 6.2 cm A rectangle s sides are measured to be 6.2 cm and 9.3 cm. What is the rectangle s area rounded to the correct number of significant
More informationChapter 4 - Writing Linear Functions
Chapter 4 - Writing Linear Functions Write an equation of the line with the given slope and y-intercept. 1. slope: 3 y-intercept: 6 a. y = 6x + 3 c. y = 6x 3 b. y = 3m + 6 d. y = 3x 6 2. D REF: Algebra
More informationSystems of Equations Unit Five ONE NONE INFINITE
Systems of Equations Unit Five ONE NONE INFINITE Standards: 8.EE.8 Analyze and solve pairs of simultaneous linear equations. a. Understand that solutions to a system of two linear equations in two variables
More informationMath 112 Spring 2018 Midterm 1 Review Problems Page 1
Math Spring 8 Midterm Review Problems Page Note: Certain eam questions have been more challenging for students. Questions marked (***) are similar to those challenging eam questions.. Which one of the
More informationAlgebra: Unit 3 Review
Name: Date: Class: Algebra: Unit 3 Review 1) A company that manufactures radios first pays a start-up cost, and then spends a certain amount of money to manufacture each radio. If the cost of manufacturing
More information8 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 informationLesson 1. Problem 1. Solution. Problem 2. Solution. Problem 3
Lesson 1 Tyler reads of a book on Monday, of it on Tuesday, of it on Wednesday, and of the remainder on Thursday. If he still has 14 pages left to read on Friday, how many pages are there in the book?
More information28 (Late Start) 7.2a Substitution. 7.1b Graphing with technology Feb 2. 4 (Late Start) Applications/ Choosing a method
Unit 7: Systems of Linear Equations NAME: The calendar and all assignments are subject to change. Students will be notified of any changes during class, so it is their responsibility to pay attention and
More information1. What are the various types of information you can be given to graph a line? 2. What is slope? How is it determined?
Graphing Linear Equations Chapter Questions 1. What are the various types of information you can be given to graph a line? 2. What is slope? How is it determined? 3. Why do we need to be careful about
More information5, 0. Math 112 Fall 2017 Midterm 1 Review Problems Page Which one of the following points lies on the graph of the function f ( x) (A) (C) (B)
Math Fall 7 Midterm Review Problems Page. Which one of the following points lies on the graph of the function f ( ) 5?, 5, (C) 5,,. Determine the domain of (C),,,, (E),, g. 5. Determine the domain of h
More informationLinear Functions. Cumulative Test. Select the best answer.
Cumulative Test Select the best answer. 1. Which statement represents the expression 2q + 3? A the quotient of 2 and q, plus 3 B the difference of 2 times q and 3 C 3 more than the product of 2 and q D
More informationReview In Δ ABD, MB is a bisector of ABD. The measure of ABD is 42. What is the measure of MBD? Justify your answer.
Name: Ms. Logan Review 2 Class: Date: 1. You have a coupon worth $18 off the purchase of a scientific calculator. At the same time the calculator is offered with a discount of 15%, but no further discounts
More informationPre-Algebra Semester 1 Practice Exam B DRAFT
. Evaluate x y 5 6 80 when x = 0 and y =.. Which expression is equivalent to? + + + +. In Pre-Algebra class, we follow the order of operations in evaluating expressions. Which operation should a student
More informationAlgebra Practice Set. *Evaluate number and algebraic expressions using rational numbers and Order of Operations
Algebra Practice Set Expressions *Evaluate number and algebraic expressions using rational numbers and Order of Operations *Translate algebraic expressions into words using appropriate language *Write
More informationFinal Exam Study Guide
Algebra 2 Alei - Desert Academy 2011-12 Name: Date: Block: Final Exam Study Guide 1. Which of the properties of real numbers is illustrated below? a + b = b + a 2. Convert 6 yards to inches. 3. How long
More informationGeorgia Common Core GPS Coordinate Algebra Supplement: Unit 2 by David Rennie. Adapted from the Georgia Department of Education Frameworks
Georgia Common Core GPS Coordinate Algebra Supplement: Unit 2 by David Rennie Adapted from the Georgia Department of Education Frameworks Georgia Common Core GPS Coordinate Algebra Supplement: Unit 2 by
More informationLinear Modeling/Regression FUNCTION NOTATION
Linear Modeling/Regression FUNCTION NOTATION Given the function notation of a coordinate: a) Rewrite the coordinate as (x, y) b) Plot the point on the graph and give the quadrant it lies in 1) f() = 2)
More informationAlgebra 1. Standard Linear Functions. Categories Graphs Tables Equations Context. Summative Assessment Date: Friday, September 14 th.
Algebra 1 Standard Linear Functions Categories Graphs Tables Equations Contet Summative Assessment Date: Friday, September 14 th Page 1 Page 2 Page 3 Linear Functions DAY 1 Notesheet Topic Increasing and
More informationSummer Assignment for Students Entering Algebra 1 Level 3
Summer Assignment for Students Entering Algebra 1 Level 3 The following packet of material contains prerequisite skills and concepts that will be drawn upon from the middle school mathematics courses which
More informationName Date Class. 9. Simplify (8 + 1) 3 4. A 9 C A y = 1 2 x C y = x Solve d = 1 4. F 1 H 1 2 G 1 J 1 G 13
Name Date Class Select the best answer. 1. Add 4.2 + ( 6.8). A 11 C 2.6 B 2.6 D 11 2. Subtract ( 2). F 7 H 3 G 3 J 7 4. A new park opened on Monday with 4 visitors. The manager estimates that the number
More informationCORE. 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 informationUnit 2: Writing and Solving Linear Equations
Unit 2: Writing and Solving Linear Equations Section 1 Day 1: Writing equations by looking at tables PATTERNS show up everywhere in math. One way to display a pattern is through a table: What patterns
More informationWahkiakum School District, Pre-EOC Algebra
Pre-EOC Assessment Algebra1 #2 Wahkiakum School District ALG1 Page 1 1. Order the following numbers from least to greatest: a. 19 2, 3π, 8.7 100, 62 3π, 62, 8.7 10 0, 19 2 b. 62, 8.7 10 0, 3π, 19 2 c.
More informationLinear Functions. Unit 3
Linear Functions Unit 3 Standards: 8.F.1 Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and
More informationMidterm: Wednesday, January 23 rd at 8AM Midterm Review
Name: Algebra 1 CC Period: Midterm: Wednesday, January 23 rd at 8AM Midterm Review Unit 1: Building Blocks of Algebra Number Properties (Distributive, Commutative, Associative, Additive, Multiplicative)
More informationAlgebra/Geometry Blend Unit #2: Linear Functions Lesson 2: Function Notation & Graphs. [page 1]
Algebra/Geometry Blend Unit #2: Linear Functions Lesson 2: Function Notation & Graphs [page 1] Name Period Date Functions are everywhere! You are in charge of finding a place to have your little sister
More informationAlgebra 1 STAAR Review Name: Date:
Algebra 1 STAAR Review Name: Date: 1. Which graph does not represent y as a function of x? I. II. III. A) I only B) II only C) III only D) I and III E) I and II 2. Which expression is equivalent to? 3.
More informationSOLVING LINEAR INEQUALITIES
Topic 15: Solving linear inequalities 65 SOLVING LINEAR INEQUALITIES Lesson 15.1 Inequalities on the number line 15.1 OPENER Consider the inequality x > 7. 1. List five numbers that make the inequality
More informationName Date Class. Standardized test prep Review of Linear Equations 8 Blue/Green
Standardized test prep Review of Linear Equations 8 Blue/Green 2013-2014 Name _ Date Class Complete questions at least 1-8. 1. Which point is a solution to the system of equations shown below? a. ( 39,
More information3.6.1 Building Functions from Context. Warm Up
Name: # Honors Coordinate Algebra: Period Ms. Pierre Date: 3.6.1 Building Functions from Context Warm Up 1. Willem buys 4 mangoes each week, and mango prices vary from week to week. Write an equation that
More informationDefine the word inequality
Warm Up: Define the word inequality Agenda: Objective- Students can solve linear inequalities in one variable, including equations with coefficients represented by letters. Define Inequalities One & Two
More informationName: 2016 Algebra 1 Final Exam Review-GL Period:
Name: 06 Algebra Final Exam Review-GL Period:. A regular polygon s perimeter is a multiple of the side length. For a square, the relationship between the perimeter, p, and the side length, s, is described
More informationMath 135 Intermediate Algebra. Homework 3 Solutions
Math Intermediate Algebra Homework Solutions October 6, 007.: Problems,, 7-. On the coordinate plane, plot the following coordinates.. Next to each point, write its coordinates Clock-wise from upper left:
More informationName Class Date. Essential question: How do you interpret, evaluate and write algebraic expressions that model real-world situations?
Name Class Date 1-1 1 Variables and Expressions Going Deeper Essential question: How do you interpret, evaluate and write algebraic expressions that model real-world situations? A-SSE.1.1a ENGAGE Interpreting
More informationALGEBRA I SEMESTER EXAMS PRACTICE MATERIALS SEMESTER (1.1) Examine the dotplots below from three sets of data Set A
1. (1.1) Examine the dotplots below from three sets of data. 0 2 4 6 8 10 Set A 0 2 4 6 8 10 Set 0 2 4 6 8 10 Set C The mean of each set is 5. The standard deviations of the sets are 1.3, 2.0, and 2.9.
More information3, 4.35, 11, 11.51, 2, 44, 2.64, 18
Integrated Math Q2- Test 2 Review 1. What is the mean of the following set of numbers? [Round the answer to the hundredths place if needed.] 44 3 13.79 12.06 3, 4.35, 11, 11.51, 2, 44, 2.64, 18 2. The
More information1 st : Read carefully and underline key words 2 nd : Write a let statement 3 rd : Determine whether to use,,, or 4 th : Write and solve the inequality
Name Period: Represent each of the following as an algebraic inequality. 1) x is at most 30 2) the sum of 5x and 2x is at least 14 3) the product of x and y is less than or equal to 4 4) 5 less than a
More informationAlgebra 1 Fall Review
Name Algebra 1 Fall Review 2013-2014 Date 1. Write an inequality to best represent the graph shown at right. (A.1.D.) m: b: inequality: 2. Write an inequality to best describe the graph shown at right.
More informationO5C1: Graphing Exponential Functions
Name: Class Period: Date: Algebra 2 Honors O5C1-4 REVIEW O5C1: Graphing Exponential Functions Graph the exponential function and fill in the table to the right. You will need to draw in the x- and y- axis.
More information4) Solve for this system using your graphing
Algebra Unit 5 HW Day 1 SOLVING GRAPHICALLY Graph the following systems: 1) x 2y 12 y 2x 6 2) y x 2 6x 2y 10 ) x y 9 4) Solve for this system using your graphing x calculator. [You will still need to put
More informationUnit 5. Linear equations and inequalities OUTLINE. Topic 13: Solving linear equations. Topic 14: Problem solving with slope triangles
Unit 5 Linear equations and inequalities In this unit, you will build your understanding of the connection between linear functions and linear equations and inequalities that can be used to represent and
More informationBridge to College Mathematics
SREB Readiness Courses Transitioning to college and careers Bridge to College Mathematics Unit 4. Linear Functions Student Manual Name 1 Math Ready. Unit 4. Student Manual Unit 4. Linear Functions Table
More informationMath 8 Unit 5. Writing Equations. Tuesday, November 27; 7:30am Tuesday, December 4; 7:30am. Date Lesson Topic Homework
Math 8 Unit 5 Writing Equations Extra Help: Tuesday, November 20; 2:40pm Tuesday, November 27; 7:30am Tuesday, December 4; 7:30am Date Lesson Topic Homework M 11/19 1 Types of Slope Lesson 1 -Page 6 T
More information+ 100 = What is the value of in the expression below? A B C D
1. What is the value of in the expression below? C 2. Max bought a 100-page journal and writes 1 page per day. Pat bought a 200-page journal and writes 3 pages per day. The equation below can be solved
More informationAssignments for Algebra 1 Unit 4: Linear Functions and Correlation
Name: Assignments for Algebra 1 Unit 4: Linear Functions and Correlation Day Date Assignment (Due the next class meeting) Thursday 10/25/12 (A) Monday 10/29/12 (B) 4.1 Worksheet Tuesday 10/30/12 (A) Wednesday
More informationName: Essential Skills Practice for students entering Geometry or Accelerated Geometry
Name: Essential Skills Practice for students entering Geometry or Accelerated Geometry Use this document to review the mathematics that you have learned previously. Completion of the Essential Skills Practice
More informationBuford High School. Coordinate Algebra GA Milestone & Final Exam Study Guide
Buford High School Coordinate Algebra GA Milestone & Final Exam Study Guide Name Period Teacher Before the Test Start studying now. Set aside a little time each day to prepare yourself Review not only
More informationMath 8 Unit 4: A Study of Linear Equations
Math 8 Unit 4: A Study of Linear Equations By the end of this unit, students should be able to: 1) Show that the slope of a line can be calculated as rise/run. Explain why the slope is the same between
More informationALGEBRA 1 FINAL EXAM 2006
Overall instructions: Your Name Teacher ALGEBRA FINAL EXAM 2006 There is a mix of easier and harder problems. Don t give up if you see some questions that you don t know how to answer. Try moving on to
More informationN5 R1.1 Linear Algebra - Revision
N5 R Linear Algebra - Revision This revision pack covers the core linear algebra skills and provides opportunities to apply these skills to standard and challenging exam level questions. This pack is not
More informationPart 1 1 st 6weeks material
Name Date Period Part 1 1 st 6weeks material 1. Write an expression that can be used to determine the number of blocks in the n th figure. 2. Write an expression to represent the sequence below: 5, 8,
More informationAlgebra Supplement Homework Packet #1
Algebra Supplement Homework Packet #1 Day 1: Fill in each blank with one of the words or phrases listed below. Distributive Real Reciprocals Absolute value Opposite Associative Inequality Commutative Whole
More informationNAME DATE PER. REVIEW: FUNCTIONS PART 2
NAME DATE PER. REVIEW: FUNCTIONS PART 2 Match graphs A - G to each description. Then identify the independent & dependent variable. Description Graph (letter) x-axis (independent) y-axis (dependent) 1.
More informationReview Unit 4: Linear Functions
Review Unit 4: Linear Functions You may use a calculator. Unit 4 Goals Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships
More informationUNIT 0 TEST CORRECTIONS INSTRUCTIONS
UNIT 0 TEST CORRECTIONS INSTRUCTIONS TEST CORRECTIONS IS A COURTESY OFFERED IN ORDER TO CORRECT MISTAKES, GET EXTRA HELP ON QUESTIONS YOU CAN T REMEMBER HOW TO WORK THROUGH YOUR NOTES OR CLASS ACTIVITIES.
More informationMATH 081. Diagnostic Review Materials PART 2. Chapters 5 to 7 YOU WILL NOT BE GIVEN A DIAGNOSTIC TEST UNTIL THIS MATERIAL IS RETURNED.
MATH 08 Diagnostic Review Materials PART Chapters 5 to 7 YOU WILL NOT BE GIVEN A DIAGNOSTIC TEST UNTIL THIS MATERIAL IS RETURNED DO NOT WRITE IN THIS MATERIAL Revised Winter 0 PRACTICE TEST: Complete as
More informationUNIT 5 INEQUALITIES CCM6+/7+ Name: Math Teacher:
UNIT 5 INEQUALITIES 2015-2016 CCM6+/7+ Name: Math Teacher: Topic(s) Page(s) Unit 5 Vocabulary 2 Writing and Graphing Inequalities 3 8 Solving One-Step Inequalities 9 15 Solving Multi-Step Inequalities
More informationThe steps in Raya s solution to 2.5 (6.25x + 0.5) = 11 are shown. Select the correct reason for line 4 of Raya s solution.
A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear functions. Unit 2: Reasoning with Linear Equations and Inequalities The perimeter
More informationTechnology Math Skills Assessment. Practice Test 1
Technology Math Skills Assessment Practice Test . Which of the following is the best description of 3 5 x? a. Monomial b. Binomial c. Polynomial d. Both a and c. Create a table of values for the equation
More informationLINEAR EQUATIONS Modeling Linear Equations Common Core Standards
E Linear Equations, Lesson 1, Modeling Linear Functions (r. 2018) LINEAR EQUATIONS Modeling Linear Equations Common Core Standards F-BF.A.1 Write a function that describes a relationship between two quantities.
More informationName Date Class Unit 4 Test 1 Review: Linear Functions
Name Date Class Unit 4 Test 1 Review: Linear Functions Select the best answer. 1. Does this graph represent a linear function? Explain your answer in the space provided. 2. A jogger runs 4 mi/h. The function
More informationALGEBRA 1. Unit 3 Chapter 6. This book belongs to: Teacher:
ALGEBRA 1 Teacher: Unit 3 Chapter 6 This book belongs to: UPDATED FALL 2016 1 2 Algebra 1 Section 6.1 Notes: Graphing Systems of Equations Day 1 Warm-Up 1. Graph y = 3x 1 on a coordinate plane. 2. Check
More informationSkills Practice Skills Practice for Lesson 1.1
Skills Practice Skills Practice for Lesson. Name Date Tanks a Lot Introduction to Linear Functions Vocabulary Define each term in your own words.. function 2. linear function 3. independent variable 4.
More informationCHAPTER FIVE. g(t) = t, h(n) = n, v(z) = z, w(c) = c, u(k) = ( 0.003)k,
CHAPTER FIVE 5.1 SOLUTIONS 121 Solutions for Section 5.1 EXERCISES 1. Since the distance is decreasing, the rate of change is negative. The initial value of D is 1000 and it decreases by 50 each day, so
More information2a) Graph: y x 3 2b) Graph: y 2x. 3a) Graph: y 4 3 x
Advanced Algebra Name Date: Semester Final Exam Review # ) Given f x x, determine the average rate of change between and 6? fb fa f x 6 6 f 9 Completed Example: ba f 4 7 6, 9, 7 9 7 6 f x 6 8 Unit : Linear
More informationLinear Equations Revisited Four Important Formulas: Math 8. Slope: Slope-Intercept Form: y mx b. Standard:
Linear Equations Revisited Four Important Formulas: Slope: m x x Slope-Intercept Form: mx b Standard: Ax B C Point-Slope: m x ) ( x You should be able to convert equations easil. Example: Convert to slope-intercept
More informationWrite an algebraic expression for each verbal expression below:
Warm Up Writing Expressions Write an algebraic expression for each verbal expression below: Verbal lgebraic The product of 8 and x 22 increased by twice a number 4 times as many wins as last season The
More informationMathematics Level D: Lesson 2 Representations of a Line
Mathematics Level D: Lesson 2 Representations of a Line Targeted Student Outcomes Students graph a line specified by a linear function. Students graph a line specified by an initial value and rate of change
More informationAlgebra 2 Level 2 Summer Packet
Algebra Level Summer Packet This summer packet is for students entering Algebra Level for the Fall of 01. The material contained in this packet represents Algebra 1 skills, procedures and concepts that
More informationSemester One Review. FORMULAS Given on Exam! 3. What is the value of f(5), given the equation f(x) = x 2 4x + 1? Slope:
FORMULAS Given on Exam!. What is equivalent to A. -(x )? B. (x + ) (x + ). Evaluate: A. + 7 B. C.. D.. = i. 6.6 ii. 6.6 iii. 6 iv. 6 E. + F. 0 + G. 9. ( ) H. ( + ) + ( + ) I. ( ) + = J. 9x 0 + y (when
More informationIn order to prepare for the final exam, you need to understand and be able to work problems involving the following topics:
MATH 080: Review for the Final Exam In order to prepare for the final exam, you need to understand and be able to work problems involving the following topics: I. Simplifying Expressions: Do you know how
More informationStudy Island. Linear and Exponential Models
Study Island Copyright 2014 Edmentum - All rights reserved. 1. A company is holding a dinner reception in a hotel ballroom. The graph represents the total cost of the ballroom rental and dinner. 3. In
More informationAlgebra - Chapter 5 Review
Name Hour Algebra - Chapter 5 Review 1. Write an equation in slope-intercept form of the graph. 10 y 10 x 10 2. The cost of a school banquet is $95 plus $15 for each person attending. Write an equation
More informationIn notes, handouts, tests shaded is Positive and non-shaded (white) is Negative
Thursday, October 15th 2015 Unit 2 Integers Review of Grade 7 In your text book Yellow is Positive and Red is Negative In notes, handouts, tests shaded is Positive and non-shaded (white) is Negative Remember
More informationSkills Practice Skills Practice for Lesson 5.1
Skills Practice Skills Practice for Lesson. Name Date Widgets, Dumbbells, and Dumpsters Multiple Representations of Linear Functions Vocabular Write the term that best completes each statement.. A(n) is
More informationPractice Test 4: Linear Relations
AChor/MFMP : Linear Relations K: C: A: T: PART A: Multiple Choice Questions Instructions: Circle the English letter of the best answer. Circle one and ONLY one answer for each question. PART B: FULL SOLUTION
More informationThis is a review packet for the entire fall semester of Algebra I at Harrison.
HARRISON HIGH SCHOOL ALGEBRA I Fall Semester Review Packet This is a review packet for the entire fall semester of Algebra I at Harrison. You are receiving it now so that: you will have plenty of time
More informationGeometry Pre-Test. Name: Class: Date: ID: A. Multiple Choice Identify the choice that best completes the statement or answers the question.
Class: Date: Geometry Pre-Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. An equilateral triangle has three sides of equal length. What is the equation
More informationWHACK-A-MOLE
1 2 3 5 6 7 9 10 11 13 14 15 17 18 19 21 22 23 WHACK-A-MOLE 8 16 24 4 12 20 1 QUESTION #1 Which of the following ordered pairs is the solution of the linear system: y = 3x + 8 5y x = 12 a) (1, 7) b) (
More informationFSA Algebra I End-of-Course Review Packet. Algebra and Modeling
FSA Algebra I End-of-Course Review Packet Algebra and Modeling Table of Contents MAFS.912.A-APR.1.1 EOC Practice... 3 MAFS.912.A-CE1.1 EOC Practice... 5 MAFS.912.A-REI.2.3 EOC Practice... 7 MAFS.912.A-CE1.4
More informationLesson 1: Writing Equations Using Symbols
COMMON CORE MATHEMATICS CURRICULUM Lesson 1 8 4 Lesson 1: Writing Equations Using Symbols Classwork Exercises Write each of the following statements using symbolic language. 1. The sum of four consecutive
More informationUNIT 28 Straight Lines: CSEC Revision Test
UNIT 8 Straight Lines: UNIT 8 Straight Lines ( ). The line segment BC passes through the point A, and has a gradient of. (a) Express the equation of the line segment BC in the form y = mx + c. ( marks)
More informationAFDA Unit 1 Practice Test
F Unit 1 Practice Test Name: ate: 1. Which inequality is represented by the accompanying graph? 4 3 1 0 1 3 4. < x 3. x 3. x < 3. < x < 3. Which inequality is represented by the accompanying graph? 1 0
More informationUnit 5. Linear equations and inequalities OUTLINE. Topic 13: Solving linear equations. Topic 14: Problem solving with slope triangles
Unit 5 Linear equations and inequalities In this unit, you will build your understanding of the connection between linear functions and linear equations and inequalities that can be used to represent and
More information