Lesson 15: Rearranging Formulas

Worksheets for GCSE Mathematics. Quadratics. mr-mathematics.com Maths Resources for Teachers. Algebra

Worksheets for GCSE Mathematics Quadratics mr-mathematics.com Maths Resources for Teachers Algebra Quadratics Worksheets Contents Differentiated Independent Learning Worksheets Solving x + bx + c by factorisation

Lesson 23: The Defining Equation of a Line

Classwork Exploratory Challenge/Exercises 1 3 1. Sketch the graph of the equation 9xx +3yy = 18 using intercepts. Then, answer parts (a) (f) that follow. a. Sketch the graph of the equation yy = 3xx +6

Lesson 24: True and False Number Sentences

NYS COMMON CE MATHEMATICS CURRICULUM Lesson 24 6 4 Student Outcomes Students identify values for the variables in equations and inequalities that result in true number sentences. Students identify values

10.1 Three Dimensional Space

Math 172 Chapter 10A notes Page 1 of 12 10.1 Three Dimensional Space 2D space 0 xx.. xx-, 0 yy yy-, PP(xx, yy) [Fig. 1] Point PP represented by (xx, yy), an ordered pair of real nos. Set of all ordered

Equations Involving Factored Expressions

Exploratory Exercise 1. A. Jenna said the product of two numbers is 20. Would the factors have to be 4 and 5? Why? B. Julie said the product of two numbers is 20. Would both factors have to be less than

Lesson 25: Using the Quadratic Formula,

, b ± b 4ac x = a Opening Exercise Over the years, many students and teachers have thought of ways to help us all remember the quadratic formula. Below is the YouTube link to a video created by two teachers

10.4 The Cross Product

Math 172 Chapter 10B notes Page 1 of 9 10.4 The Cross Product The cross product, or vector product, is defined in 3 dimensions only. Let aa = aa 1, aa 2, aa 3 bb = bb 1, bb 2, bb 3 then aa bb = aa 2 bb

P.3 Division of Polynomials

00 section P3 P.3 Division of Polynomials In this section we will discuss dividing polynomials. The result of division of polynomials is not always a polynomial. For example, xx + 1 divided by xx becomes

Math 3 Unit 3: Polynomial Functions

Math 3 Unit 3: Polynomial Functions Unit Title Standards 3.1 End Behavior of Polynomial Functions F.IF.7c 3.2 Graphing Polynomial Functions F.IF.7c, A.APR3 3.3 Writing Equations of Polynomial Functions

Lesson 13: More Factoring Strategies for Quadratic Equations & Expressions

: More Factoring Strategies for Quadratic Equations & Expressions Opening Exploration Looking for Signs In the last lesson, we focused on quadratic equations where all the terms were positive. Juan s examples

Lesson 7: Algebraic Expressions The Commutative, Associative and Distributive Properties

Hart Interactive Algebra 1 Algebraic Expressions The Commutative, Associative and Distributive Properties Exploratory Activity In elementary school you learned that 3 + 4 gives the same answer as 4 + 3

Math 3 Unit 3: Polynomial Functions

Math 3 Unit 3: Polynomial Functions Unit Title Standards 3.1 End Behavior of Polynomial Functions F.IF.7c 3.2 Graphing Polynomial Functions F.IF.7c, A.APR3 3.3 Writing Equations of Polynomial Functions

Classwork. Example 1 S.35

Classwork Example 1 In the picture below, we have a triangle AAAAAA that has been dilated from center OO by a scale factor of rr = 1. It is noted 2 by AA BB CC. We also have triangle AA BB CC, which is

Lesson 24: Using the Quadratic Formula,

, b ± b 4ac x = a Opening Exercise 1. Examine the two equation below and discuss what is the most efficient way to solve each one. A. 4xx + 5xx + 3 = xx 3xx B. cc 14 = 5cc. Solve each equation with the

Lesson 12: Solving Equations

Exploratory Exercises 1. Alonzo was correct when he said the following equations had the same solution set. Discuss with your partner why Alonzo was correct. (xx 1)(xx + 3) = 17 + xx (xx 1)(xx + 3) = xx

L.2 Formulas and Applications

43 L. Formulas and Applications In the previous section, we studied how to solve linear equations. Those skills are often helpful in problem solving. However, the process of solving an application problem

Section 2: Equations and Inequalities

Topic 1: Equations: True or False?... 29 Topic 2: Identifying Properties When Solving Equations... 31 Topic 3: Solving Equations... 34 Topic 4: Solving Equations Using the Zero Product Property... 36 Topic

Lesson 23: Deriving the Quadratic Formula

: Deriving the Quadratic Formula Opening Exercise 1. Solve for xx. xx 2 + 2xx = 8 7xx 2 12xx + 4 = 0 Discussion 2. Which of these problems makes more sense to solve by completing the square? Which makes

Lesson 1: Successive Differences in Polynomials

Lesson 1 Lesson 1: Successive Differences in Polynomials Classwork Opening Exercise John noticed patterns in the arrangement of numbers in the table below. 2.4 3.4 4.4 5.4 6.4 5.76 11.56 19.36 29.16 40.96

Graphical Solutions of Linear Systems

Graphical Solutions of Linear Systems Consistent System (At least one solution) Inconsistent System (No Solution) Independent (One solution) Dependent (Infinite many solutions) Parallel Lines Equations

Secondary 3H Unit = 1 = 7. Lesson 3.3 Worksheet. Simplify: Lesson 3.6 Worksheet

Secondary H Unit Lesson Worksheet Simplify: mm + 2 mm 2 4 mm+6 mm + 2 mm 2 mm 20 mm+4 5 2 9+20 2 0+25 4 +2 2 + 2 8 2 6 5. 2 yy 2 + yy 6. +2 + 5 2 2 2 0 Lesson 6 Worksheet List all asymptotes, holes and

HONORS GEOMETRY SUMMER REVIEW PACKET (2012)

HONORS GEOMETRY SUMMER REVIEW PACKET (01) The problems in this packet are designed to help you review topics from previous mathematics courses that are important to your success in Honors Geometry. Please

Eureka Lessons for 6th Grade Unit FIVE ~ Equations & Inequalities

Eureka Lessons for 6th Grade Unit FIVE ~ Equations & Inequalities These 2 lessons can easily be taught in 2 class periods. If you like these lessons, please consider using other Eureka lessons as well.

Algebra 1 (cp) Midterm Review Name: Date: Period:

Algebra 1 (cp) Midterm Review Name: Date: Period: Chapter 1 1. Evaluate the variable expression when j 4. j 44 [1] 2. Evaluate the variable expression when j 4. 24 j [2] 3. Find the perimeter of the rectangle.

Section 1.4. Meaning of Slope for Equations, Graphs, and Tables

Section 1.4 Meaning of Slope for Equations, Graphs, and Tables Finding Slope from a Linear Equation Finding Slope from a Linear Equation Example Find the slope of the line Solution Create a table using

Preparing for the HNC Electrical Maths Components. online learning. Page 1 of 15

online learning Preparing for the HNC Electrical Maths Components Page 1 of 15 Contents INTRODUCTION... 3 1 Algebraic Methods... 4 1.1 Indices and Logarithms... 4 1.1.1 Indices... 4 1.1.2 Logarithms...

Lesson: Slope. Warm Up. Unit #2: Linear Equations. 2) If f(x) = 7x 5, find the value of the following: f( 2) f(3) f(0)

Warm Up 1) 2) If f(x) = 7x 5, find the value of the following: f( 2) f(3) f(0) Oct 15 10:21 AM Unit #2: Linear Equations Lesson: Slope Oct 15 10:05 AM 1 Students will be able to find the slope Oct 16 12:19

Lesson 7: Linear Transformations Applied to Cubes

Classwork Opening Exercise Consider the following matrices: AA = 1 2 0 2, BB = 2, and CC = 2 2 4 0 0 2 2 a. Compute the following determinants. i. det(aa) ii. det(bb) iii. det(cc) b. Sketch the image of

due date: third day of class estimated time: 10 hours (for planning purposes only; work until you finish)

Honors PreCalculus Summer Work 016 due date: third day of class estimated time: 10 hours (for planning purposes only; work until you finish) Dear Honors PreCalculus Students, This assignment is designed

New Rochelle High School Geometry Summer Assignment

NAME - New Rochelle High School Geometry Summer Assignment To all Geometry students, This assignment will help you refresh some of the necessary math skills you will need to be successful in Geometry and

Section 3.4 Writing the Equation of a Line

Chapter Linear Equations and Functions Section.4 Writing the Equation of a Line Writing Equations of Lines Critical to a thorough understanding of linear equations and functions is the ability to write

Lesson 10: Solving Inequalities

Opening Exercise 1. Find the solution set to each inequality. Express the solution graphically on the number line and give the solution in interval notation. A. xx + 4 7 B. mm 3 + 8 > 9 C. 8yy + 4 < 7yy

Worksheets for GCSE Mathematics. Algebraic Expressions. Mr Black 's Maths Resources for Teachers GCSE 1-9. Algebra

Worksheets for GCSE Mathematics Algebraic Expressions Mr Black 's Maths Resources for Teachers GCSE 1-9 Algebra Algebraic Expressions Worksheets Contents Differentiated Independent Learning Worksheets

Lesson 11: Using the Zero Product Property to Find Horizontal Intercepts

: Using the Zero Product Property to Find Horizontal Intercepts Opening Discussion 1. A. Jenna said the product of two numbers is 20. Would the factors have to be 4 and 5? Why? B. Julie said the product

Radicals and Radical Functions

0 Radicals and Radical Functions So far we have discussed polynomial and rational expressions and functions. In this chapter, we study algebraic expressions that contain radicals. For example, + 2, xx,

Monday Tuesday Wednesday Thursday

Answer Key - Weekly Math Homework Q3:1 Write the equation of a line in slope intercept form that has a slope of 3 and has a y- 5 intercept of ½. yy = 3 5 xx + 1 2 Write the exponential function that matches

King Fahd University of Petroleum and Minerals Prep-Year Math Program Math (001) - Term 181 Recitation (1.1)

Recitation (1.1) Question 1: Find a point on the y-axis that is equidistant from the points (5, 5) and (1, 1) Question 2: Find the distance between the points P(2 x, 7 x) and Q( 2 x, 4 x) where x 0. Question

Section 5: Quadratic Equations and Functions Part 1

Section 5: Quadratic Equations and Functions Part 1 Topic 1: Real-World Examples of Quadratic Functions... 121 Topic 2: Factoring Quadratic Expressions... 125 Topic 3: Solving Quadratic Equations by Factoring...

Lesson 23: Complicated Quadratics

: Complicated Quadratics Opening Discussion 1. The quadratic expression 2x 2 + 4x + 3 can be modeled with the algebra tiles as shown below. Discuss with your group a method to complete the square with

MAT 0022C/0028C Final Exam Review. BY: West Campus Math Center

MAT 0022C/0028C Final Exam Review BY: West Campus Math Center Factoring Topics #1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 Problem Solving (Word Problems) #19, 20, 21, 22, 23, 24, 25,

In 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

When they compared their results, they had an interesting discussion:

27 2.5 Making My Point A Solidify Understanding Task Zac and Sione were working on predicting the number of quilt blocks in this pattern: CC BY Camille King https://flic.kr/p/hrfp When they compared their

The domain and range of lines is always R Graphed Examples:

Graphs/relations in R 2 that should be familiar at the beginning of your University career in order to do well (The goal here is to be ridiculously complete, hence I have started with lines). 1. Lines

You try: What is the equation of the line on the graph below? What is the equation of the line on the graph below?

1 What is the equation of the line on the graph below? 2 3 1a What is the equation of the line on the graph below? y-intercept Solution: To write an equation in slope-intercept form, identify the slope

TSIA MATH TEST PREP. Math and Science, ASC 1

TSIA MATH TEST PREP Math and Science, ASC 1 Texas Success Initiative: Mathematics The TSI Assessment is a program designed to help Lone Star College determine if you are ready for college-level coursework

Math 3 Unit 4: Rational Functions

Math Unit : Rational Functions Unit Title Standards. Equivalent Rational Expressions A.APR.6. Multiplying and Dividing Rational Expressions A.APR.7. Adding and Subtracting Rational Expressions A.APR.7.

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,

Geometry/Trig Name: Date: Lesson 1-11 Writing the Equation of a Perpendicular Bisector

Name: Date: Lesson 1-11 Writing the Equation of a Perpendicular Bisector Learning Goals: #14: How do I write the equation of a perpendicular bisector? Warm-up What is the equation of a line that passes

Show all work on separate grid and lined paper. Number each question clearly.

Algebra summer homework 2015 In addition to the practice problems below, students are to work in IXL.com in the 8 th grade content. Students must know all of the perfect squares from 1 to 625 for automatic

Answers to Sample Exam Problems

Math Answers to Sample Exam Problems () Find the absolute value, reciprocal, opposite of a if a = 9; a = ; Absolute value: 9 = 9; = ; Reciprocal: 9 ; ; Opposite: 9; () Commutative law; Associative law;

CHAPTER 1: Graphs, Functions, and Models

CHAPTER 1: Graphs, Functions, and Models 1.1 Introduction to Graphing 1.2 Functions and Graphs 1.3 Linear Functions, Slope, and Applications 1.4 Equations of Lines and Modeling 1.5 Linear Equations, Functions,

North Carolina MATH I (Traditional) Pacing Guide

North Carolina MATH I (Traditional) 2018-2019 Pacing Guide Note: The eight Standards for Mathematical Practice describe the varieties of expertise that mathematics educators should seek to develop in their

3.2 A2 - Just Like Derivatives but Backwards

3. A - Just Like Derivatives but Backwards The Definite Integral In the previous lesson, you saw that as the number of rectangles got larger and larger, the values of Ln, Mn, and Rn all grew closer and

F.4 Solving Polynomial Equations and Applications of Factoring

section F4 243 F.4 Zero-Product Property Many application problems involve solving polynomial equations. In Chapter L, we studied methods for solving linear, or first-degree, equations. Solving higher

Terms of Use. Copyright Embark on the Journey

Terms of Use All rights reserved. No part of this packet may be reproduced, stored in a retrieval system, or transmitted in any form by any means - electronic, mechanical, photo-copies, recording, or otherwise

Lesson 1: Writing Equations Using Symbols

Lesson 1 Lesson 1: Writing Equations Using Symbols Classwork Exercises Write each of the following statements using symbolic language. 1. The sum of four consecutive even integers is 28. 2. A number is

Chapter 5 Simplifying Formulas and Solving Equations

Chapter 5 Simplifying Formulas and Solving Equations Look at the geometry formula for Perimeter of a rectangle P = L W L W. Can this formula be written in a simpler way? If it is true, that we can simplify

Section 3: Introduction to Functions

Topic 1: Input and Output Values... 55 Topic 2: Representing, Naming, and Evaluating Functions... 58 Topic 3: Adding and Subtracting Functions... 60 Topic 4: Multiplying Functions... 62 Topic 5: Closure

Lesson 7: Algebraic Expressions The Commutative and Associative Properties

Algebraic Expressions The Commutative and Associative Properties Classwork Exercise 1 Suzy draws the following picture to represent the sum 3 + 4: Ben looks at this picture from the opposite side of the

Teacher Road Map for Lesson 10: True and False Equations

Teacher Road Map for Objective in Student Friendly Language: Today I am: sorting equation cards So that I can: determine when an equation is true or false. I ll know I have it when I can: write my own

Algebra I Chapter 4 Curriculum and IXL

Chapter 4 Curriculum and IXL C4L1 Functions and Non-Functions Represent relations as mappings, sets of points, and graphs: WS Determine whether a relation is a function or not: WS C4L2 Linear and Non-Linear

Lesson 5: Solving Linear Systems Problem Solving Assignment solutions

Write inequalities to represent the following problem, and then solve to answer the question. 1. The Rent-A-Lemon Car Rental Company charges $60 a day to rent a car and an additional $0.40 per mile. Alex

Solving and Graphing Inequalities Joined by And or Or

Solving and Graphing Inequalities Joined by And or Or Classwork 1. Zara solved the inequality 18 < 3x 9 as shown below. Was she correct? 18 < 3x 9 27 < 3x 9 < x or x> 9 2. Consider the compound inequality

1. How could you determine the average speed of an object whose motion is represented in the graphs above?

AP Physics Lesson 1 b Kinematics Graphical Analysis and Kinematic Equation Use Outcomes Interpret graphical evidence of motion (uniform speed & uniform acceleration). Apply an understanding of position

1.2 Graphs and Lines. Cartesian Coordinate System

1.2 Graphs and Lines Cartesian Coordinate System Note that there is a one-to-one correspondence between the points in a plane and the elements in the set of all ordered pairs (a, b) of real numbers. Graphs

1.4 Rewriting Equations

Friday Homework: begin weekly review Ask your science teacher what formulas you are going to use in science this year (X- Credit) 1 st : Put your homework and Corrections in the yellow folder 2 nd : Take

6-6 Solving Systems of Linear Inequalities 6-6. Solving Systems of Linear Inequalities

6-6 Solving Systems of Linear Inequalities Warm Up Lesson Presentation Lesson Quiz 1 2 pts 3 pts 5 pts Bell Quiz 6-6 Solve each inequality for y. 1. 8x + y < 6 2. 3x 2y > 10 3. Graph the solutions of 4x

6-4 Solving Special Systems

6-4 Solving Special Systems Warm Up Lesson Presentation Lesson Quiz 1 2 pts Bell Quiz 6-4 Solve the equation. 1. 2(x + 1) = 2x + 2 3 pts Solve by using any method. 2. y = 3x + 2 2x + y = 7 5 pts possible

These are the skills you should be proficient in performing before you get to Pre-AP Calculus.

Fort Zumwalt School District PRE-AP CALCULUS SUMMER REVIEW PACKET Name: 1. This packet is to be handed in to your Pre AP Calculus teacher on the first day of the school year. 2. All work must be shown

PREPARED BY: J. LLOYD HARRIS 07/17

PREPARED BY: J. LLOYD HARRIS 07/17 Table of Contents Introduction Page 1 Section 1.2 Pages 2-11 Section 1.3 Pages 12-29 Section 1.4 Pages 30-42 Section 1.5 Pages 43-50 Section 1.6 Pages 51-58 Section 1.7

2-7 Solving Quadratic Inequalities. ax 2 + bx + c > 0 (a 0)

Quadratic Inequalities In One Variable LOOKS LIKE a quadratic equation but Doesn t have an equal sign (=) Has an inequality sign (>,

The P/Q Mathematics Study Guide

The P/Q Mathematics Study Guide Copyright 007 by Lawrence Perez and Patrick Quigley All Rights Reserved Table of Contents Ch. Numerical Operations - Integers... - Fractions... - Proportion and Percent...

Graphing Linear Systems

Graphing Linear Systems Goal Estimate the solution of a system of linear equations by graphing. VOCABULARY System of linear equations A system of linear equations is two or more linear equations in the

Welcome to AP Calculus!

Welcome to AP Calculus! This packet is meant to help you review some of the mathematics that lead up to calculus. Of course, all mathematics up until this point has simply been a build-up to calculus,

Algebra 1-6 Study Guide: Solving for a Variable (pp 49-51) Page! 1 of! 8. Vocabulary

Page 1 of 8 Attendance Problems: Solve each equation. 1. 5 + x = -2 2. 8m = 43 c + 5 3. = 6 4. 0.3s + 0.6 = 1.5 4 5. 10k - 6 = 9k + 2 formula Vocabulary literal equation I can solve a formula for a given

Instructor Notes for Module 5

Instructor Notes for Module 5 M5_I3 Transformations of Polynomial Functions The Pre-class assignment for this section (PC3) on IMathAS consists of problem #1 on p. 195 in the workbook and a discussion

Mathematics Ext 2. HSC 2014 Solutions. Suite 403, 410 Elizabeth St, Surry Hills NSW 2010 keystoneeducation.com.

Mathematics Ext HSC 4 Solutions Suite 43, 4 Elizabeth St, Surry Hills NSW info@keystoneeducation.com.au keystoneeducation.com.au Mathematics Extension : HSC 4 Solutions Contents Multiple Choice... 3 Question...

Heat, Work, and the First Law of Thermodynamics. Chapter 18 of Essential University Physics, Richard Wolfson, 3 rd Edition

Heat, Work, and the First Law of Thermodynamics Chapter 18 of Essential University Physics, Richard Wolfson, 3 rd Edition 1 Different ways to increase the internal energy of system: 2 Joule s apparatus

Some examples of radical equations are. Unfortunately, the reverse implication does not hold for even numbers nn. We cannot

40 RD.5 Radical Equations In this section, we discuss techniques for solving radical equations. These are equations containing at least one radical expression with a variable, such as xx 2 = xx, or a variable

1. The graph of a function f is given above. Answer the question: a. Find the value(s) of x where f is not differentiable. Ans: x = 4, x = 3, x = 2,

1. The graph of a function f is given above. Answer the question: a. Find the value(s) of x where f is not differentiable. x = 4, x = 3, x = 2, x = 1, x = 1, x = 2, x = 3, x = 4, x = 5 b. Find the value(s)

Logarithmic Functions

Name Student ID Number Group Name Group Members Logarithmic Functions 1. Solve the equations below. xx = xx = 5. Were you able solve both equations above? If so, was one of the equations easier to solve

Math 95--Review Prealgebra--page 1

Math 95--Review Prealgebra--page 1 Name Date In order to do well in algebra, there are many different ideas from prealgebra that you MUST know. Some of the main ideas follow. If these ideas are not just

WS/FCS NC Math 3 Scope and Sequence Semester Block High School Refer to Unit Planning Organizers for Instructional Guidance

WS/FCS NC Math 3 Scope and Sequence 2017-2018 Semester Block High School Refer to Unit Planning Organizers for Instructional Guidance Suggested Pacing: Unit Title Days Week for Inspirational Math3 5 1

Chapter 1: Packing your Suitcase

Chapter : Packing your Suitcase Lesson.. -. a. Independent variable = distance from end of tube to the wall. Dependent variable = width of field of view. e. The equation depends on the length and diameter

Algebra 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

Unit 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

Unit 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

Radicals and Radical Functions

0 Radicals and Radical Functions So far we have discussed polynomial and rational expressions and functions. In this chapter, we study algebraic expressions that contain radicals. For example, + 2,, or.

Math, Stats, and Mathstats Review ECONOMETRICS (ECON 360) BEN VAN KAMMEN, PHD

Math, Stats, and Mathstats Review ECONOMETRICS (ECON 360) BEN VAN KAMMEN, PHD Outline These preliminaries serve to signal to students what tools they need to know to succeed in ECON 360 and refresh their

3 when n = x Summer Math Packet Moving from Algebra 1 Academic to Advanced Geometry. Name:

01 Summer Math Packet Moving from Algebra 1 Academic to Advanced Geometry Name: This packet provides insight to the topics that were either not covered in Algebra 1, but were covered in Algebra 1 Advanced,

Section 6 Quadratics Part 1

Section 6 Quadratics Part 1 The following Mathematics Florida Standards will be covered in this section: MAFS.912.A-SSE.1.2 Use the structure of an expression to identify ways to rewrite it. For example,

Domain and Range Class Work Find the domain and range for each of the following 1. {(1,2), (3,4), (5,6)} 2. {(4,3), (3,2), (4,2)} 3. {(5,1), (3,1), (-4,1)} 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. Homework Find

Let s start by defining what it means for two statements to be logically equivalent.

Boolean Algebra Boolean Algebra ( ) So far we have been presented with statements such as p, q, p, p q, p q, etc. It would be nice if we had a means of manipulating these statements in an algebraic manner.

Topic: Solving systems of equations with linear and quadratic inequalities

Subject & Grade: Mathematics, 9 th Grade Topic: Solving systems of equations with linear and quadratic inequalities Aim: How would you find the solution set of a linear and quadratic inequality? Materials:.

Algebra. Topic: Manipulate simple algebraic expressions.

30-4-10 Algebra Days: 1 and 2 Topic: Manipulate simple algebraic expressions. You need to be able to: Use index notation and simple instances of index laws. Collect like terms Multiply a single term over

USING THE QUADRATIC FORMULA and 9.1.3

Chapter 9 USING THE QUADRATIC FORMULA 9.1.2 and 9.1.3 When a quadratic equation is not factorable, another method is needed to solve for x. The Quadratic Formula can be used to calculate the roots of a

CH 61 USING THE GCF IN EQUATIONS AND FORMULAS

CH 61 USING THE GCF IN EQUATIONS AND FORMULAS Introduction A while back we studied the Quadratic Formula and used it to solve quadratic equations such as x 5x + 6 = 0; we were also able to solve rectangle

Quadratic Equations and Functions

50 Quadratic Equations and Functions In this chapter, we discuss various ways of solving quadratic equations, aa + bbbb + cc = 0, including equations quadratic in form, such as + 0 = 0, and solving formulas

Lesson 3A: How Fast Are You Moving?

Lesson 3A: How Fast Are You Moving? 3.1 Observe and represent Decide on a starting point. You will need 2 cars (or other moving objects). For each car, you will mark its position at each second. Make sure

(a) Find the area of RR. (b) Write, but do not evaluate, an integral expression for the volume of the solid generated when R is

Calculus AB Final Review Name: Revised 07 EXAM Date: Tuesday, May 9 Reminders:. Put new batteries in your calculator. Make sure your calculator is in RADIAN mode.. Get a good night s sleep. Eat breakfast