S2 (2.2) Equations.notebook November 24, 2015

Size: px
Start display at page:

Download "S2 (2.2) Equations.notebook November 24, 2015"

Transcription

1 Daily Practice Q1. Multiply out and simplify 7(x - 3) + 2(x + 1) Q2. Simplify the ratio 14:21 Q3. Find 17% of 5000 Today we will be learning to solve equations. Homework Due tomorrow. Q4. Given a = -3 and b = 4, what is the value of 2a + 4b? Q5. Equations An equation is an algebraic expression with an equals sign in it. To solve an equation, we must treat each side of the equals like a balance. What you do to one side, you must do to the other. Equations Examples: Solve the following (a) x + 15 = 34 (b) 4g = 24 (c) 7 - x = -4 Always think opposite operations!! Equations Solve the following: (i) x + 4 = 11 (ii) x - 5 = 16 (viii) 0.5x = 6 (ix) x - 5 = 98 Daily Practice Q1. State the mean, median, mode and range of the following 2, -2, 3, 4, 6, 7, 2, 10, Q2. Multiply out and simplify 7(x - 4) + 2(3x + 3) (iii) 2x = 8 (iv) 3x = -48 (x) 2x + x = 18 (xi) 3x - 2x + 4 = 22 Q3. State the size of the angle a 0 a (v) 7 - x = -2 (xii) -2= x + 7 Q4. Given a = -3 and b = 4, what is the value of 4a 2 b? (vi) 14 + x = 37 (xiii) 36 = 6x (vii) 2x = -14 (xiv) x 2 = 49

2 Today we will be continuing to learn how to solve equations. Homework Due Today. Equations Equations Examples: Solve the following: (d) 2x + 3 = 13 (e) 3h - 9 = 3 (f) - 2x + 4 = -10 (i) 2x + 4 = 20 (ii) 7x - 5 = 30 (viii) 3k - 7 = 20 (ix) 4x - 5 = -9 (iii) 12x + 4 = 100 (x) 2m + 3 = 19 (iv) 3x - 8 = -5 (xi) - 6j - 4 = 32 (v) 7-2x = 13 (xii) 2h = (vi) x = 64 (xiii) 8p = (vii) 2x - 1 = -11 Daily Practice Q1. Round to 1 decimal place Q2. Multiply out and simplify 6x - 2(x + 3) Q3. Work out the cost of getting a car service if it is VAT at 20% Today we will be learning how to solve equations with unknowns on both sides. Q4. Simplify the ratio 30:15 Q5. Solve the equation 2x - 9 = 15

3 Equations with unknowns both sides Unknowns can be added/subtracted from both sides too. Examples: 1. 3x + 2 = x p - 3 = 3p h = h -15 Daily Practice Q1. Find the value of a car that was worth 4000 and depreciated in value by 6% Q2. Solve the equation 5x - 3 = 2x + 12 Q3. Multiply out and simplify 6(2x - 1) + 4 Q4. Equations with unknowns both sides Solve the following: (i) 2k + 7 = k - 4 (viii) 17t - 1 = 12t + 14 Today we will be continuing to learn how to solve equations. (ii) 13k - 8 = 2k + 14 (ix) 18y - 4 = -6y + 44 (iii) 10x + 12 = 4x + 48 (x) 6c - 15 = 12-3c (iv) -3x + 2 = x + 10 (v) 5x - 5 = 3x + 15 (vi) 9x - 8 = x + 24 (vii) 12g + 7 = 2g - 33 Daily Practice Q1. Find the value of a house that was worth and appreciated in value by 7%? Q2. Solve the equation 9k - 1 = 2k + 13 Q3. Round to the nearest unit Q4. Q5. Multiply out and simplify 6h - 3(2h + 1)

4 Equations with brackets To solve equations with brackets, first multiply out and simplify where possible, then solve as normal. Today we will be learning to solve equations with brackets. Homework online due Friday Examples: Solve the following (a) 3(2x + 1) = 21 (ii) 7h + 2(h - 5) = 26 (iii) 2(h + 4) - (h + 6) = 7 Daily Practice Questions Mental Maths Today we will be continuing to learn how to multiply out brackets and simplify. Homework due Friday

5 Daily Practice Q1. Find 17% of 9000 Q2. Multiply out and simplify 2(3x - 1) + 4(x - 6) Q3. Solve the equation 9x - 13 = -40 Today we will be learning about equations with fractions. Q4. Calculate the area of the rhombus shown 18cm 15cm Homework due Friday. Q5. Equations with fractions Examples: Solve (a) (b) Equations with fractions Daily Practice Questions: Q1. Multiply out and simplify 7(x - 3) + 2(x + 1) (a) (e) (i) Q2. John has savings of 5000, he earns simple interest of 4% per annum. How much interest does he earn in 2 years? (b) (f) (j) Q3. Factorise 5gh - 25h 2 (c) (g) (k) Q4. Solve 5x - 1 = 2x + 8 Q5. (d) (h) (l)

6 Inequalities From left to right: Today we will be learning about inequalities. Homework due tomorrow! < means less than > means greater than means less than or equal to means greater than or equal to Inequalities Write expressions for the following: x is less than 6 y is greater than -15 k is greater than or equal to 0 h is greater than or equal to -4 and is less than 7 Solving Inequalities Solving inequalities follows the same process as solving equations. Examples: Solve the following (a) 5x > 25 (b) a - 1 < 12 (c) 3x p is greater than -1 and is less than or equal to 4 j lies between -3 and 5 but isn't -3 or 5 Solving Inequalities Solve the following: (a) 2x > 6 (b) 5t < 20 (c) x + 4 > 10 (d) 2g (e) 10k > 120 (f) 4x (g) 2(x + 3) < 14 (h) 7j (i) 2x Daily Practice Q1. Round to 1 decimal place Q2. A group of witches are ages 25, 37, 48, 43, 64, 77 and 82. Calculate their mean age Q3. 22 x Q4. Ghostbusters blasted the ghost population (12000) by 30%. How many ghosts are left? (j) 4(3x + 11) 10x + 50 (k) 8(2y - 1) 14y Q5. Solve the equation 13W - 4 = 9W + 12

7 Today we will be marking the homework on equations and finishing the inequalities questions.

8 Daily Practice Q1. Multiply out and simplify 6c - 3(2c + 1) Q2. A dress costs 65, it is marked 15% off in the sale. How much is it in the sale? Q3. Solve the equation 7x - 4 = 2x + 21 Q x 5 Q5. Solving Inequalities Solve the following: (a) 2x > 6 (b) 5t < 20 (c) x + 4 > 10 Today we will be learning how to create equations from context and solving them. (d) 2g (e) 10k > 120 (f) 4x (g) 2(x + 3) < 14 (h) 7j (i) 2x (j) 4(3x + 11) 10x + 50 (k) 8(2y - 1) 14y

9 Using Equations to solve Worded Problems 1. Janet is three times as old as her daughter Mary. Five years ago, Janet was four times as old as Mary. How old is Janet now? Daily Practice Q1. Round to 1 decimal place Q2. Solve the inequality 5t 14 4t + 13 Q3. Find 91% of 2000 Q4. Q5. 42 x 4000 Today we will be continuing to practise worded equations. 2. Together Joe and Harry have 30. Joe has 6 more than Harry. How much does each person have? Daily Practice Questions Mental Maths

10 Today we will be completing a check-up on Equations.

S4 (4.2) N5 Equations.notebook November 24, 2015

S4 (4.2) N5 Equations.notebook November 24, 2015 Daily Practice 26.10.2015 Q1. Write in completed square form x 2-14x + 8 Q2. Factorise fully 2x 2 + 6x - 20 Q3. Calculate a - 2b where a = and b = Today we will be revising over equations. A Q4. Calculate

More information

M HTh TTh Th H T U t h th

M HTh TTh Th H T U t h th Daily Practice 26.10.15 Q1. Solve the equation 8x + 7 = x 35 Q2. 1 1 / 3 x 2 / 5 Q3. Factorise 4x 16y Q4. Find 17% of 200 Today we are going to learn about scientific notation. Homework Due! Q5. Calculate

More information

S3 (3.1) Equations with fractions.notebook November 24, 2015

S3 (3.1) Equations with fractions.notebook November 24, 2015 Daily Practice 2.10.15 Q1. Solve the equation 4(2x 1) + 5x = 3x + 26 Q2. Calculate the length of k Q3. Calculate the mean, median, mode and range of 3, 7, 4, 13, 5, 11, 6, 7 14cm Today we will be learning

More information

S2 (2.4) Area.notebook November 06, 2017

S2 (2.4) Area.notebook November 06, 2017 Daily Practice 31.5.2017 Q1. 1055-724 Q2. 35 x 40 Q3. 36.77-7 Q4. What is the perimeter of this triangle 9cm Q5. - 5 + 17 8cm The area of a 2D shape is the amount of space contained within its boundaries.

More information

S4 (4.3) Quadratic Functions.notebook February 06, 2018

S4 (4.3) Quadratic Functions.notebook February 06, 2018 Daily Practice 2.11.2017 Q1. Multiply out and simplify 3g - 5(2g + 4) Q2. Simplify Q3. Write with a rational denominator Today we will be learning about quadratic functions and their graphs. Q4. State

More information

Algebra: Chapter 3 Notes

Algebra: Chapter 3 Notes Algebra Homework: Chapter 3 (Homework is listed by date assigned; homework is due the following class period) HW# Date In-Class Homework 16 F 2/21 Sections 3.1 and 3.2: Solving and Graphing One-Step Inequalities

More information

S56 (5.3) Recurrence Relations.notebook September 09, 2015

S56 (5.3) Recurrence Relations.notebook September 09, 2015 Daily Practice 31.8.2015 Q1. Write down the equation of a circle with centre (-1, 4) and radius 5 Q2. Given the circle with equation (x 4) 2 + (y + 5) 2 = 40. Find the equation of the tangent to this circle

More information

S4 (4.2) Algebraic Fractions.notebook September 03, 2015

S4 (4.2) Algebraic Fractions.notebook September 03, 2015 Daily Practice 15.6.2015 (b) 24k 20 (e) x = m (g) 45 = 90% = 1% = 100% Daily Practice 16.6.15 Q1. Simplify m 7 m 3 Q2. State the gradient of the line joining (-5, 2) and (3, 7) Q3. Simplify Q4. Simplify

More information

Geometry - Summer 2016

Geometry - Summer 2016 Geometry - Summer 2016 Introduction PLEASE READ! The purpose of providing summer work is to keep your skills fresh and strengthen your base knowledge so we can build on that foundation in Geometry. All

More information

The WhatPower Function à An Introduction to Logarithms

The WhatPower Function à An Introduction to Logarithms Classwork Work with your partner or group to solve each of the following equations for x. a. 2 # = 2 % b. 2 # = 2 c. 2 # = 6 d. 2 # 64 = 0 e. 2 # = 0 f. 2 %# = 64 Exploring the WhatPower Function with

More information

Chapter 7 - Exponents and Exponential Functions

Chapter 7 - Exponents and Exponential Functions Chapter 7 - Exponents and Exponential Functions 7-1: Multiplication Properties of Exponents 7-2: Division Properties of Exponents 7-3: Rational Exponents 7-4: Scientific Notation 7-5: Exponential Functions

More information

Sample : 6 worksheets without solutions

Sample : 6 worksheets without solutions Contents Mathematics (National 5) Expressions and Formulae... Mathematics (National 5) Relationships...3 Mathematics (National 5) Applications...4 Arcs & Sectors...5 Brackets...6 Completing the Square...7

More information

S56 (5.3) Further Calculus.notebook March 24, 2016

S56 (5.3) Further Calculus.notebook March 24, 2016 Daily Practice 16.3.2016 Today we will be learning how to differentiate using the Chain Rule. Homework Solutions Video online - please mark 2009 P2 Polynomials HW Online due 22.3.16 We use the Chain Rule

More information

ALGEBRA I FORM I. Textbook: Algebra, Second Edition;Prentice Hall,2002

ALGEBRA I FORM I. Textbook: Algebra, Second Edition;Prentice Hall,2002 ALGEBRA I FORM I Textbook: Algebra, Second Edition;Prentice Hall,00 Prerequisites: Students are expected to have a knowledge of Pre Algebra and proficiency of basic math skills including: positive and

More information

Math 0095: Developmental Mathematics Emporium

Math 0095: Developmental Mathematics Emporium Math 0095: Developmental Mathematics Emporium Course Titles: Credit hours: Prerequisites: Math 0099: Early Foundations of College Mathematics Math 0100: Foundations of College Mathematics Math 0101: Foundations

More information

Math 0095: Developmental Emporium Mathematics

Math 0095: Developmental Emporium Mathematics Math 0095: Developmental Emporium Mathematics Course Titles: Credit hours: Prerequisites: Math 0099: Early Foundations of College Mathematics Math 0100: Foundations of College Mathematics Math 0101: Foundations

More information

MHF4U Unit 2 Polynomial Equation and Inequalities

MHF4U Unit 2 Polynomial Equation and Inequalities MHF4U Unit 2 Polynomial Equation and Inequalities Section Pages Questions Prereq Skills 82-83 # 1ac, 2ace, 3adf, 4, 5, 6ace, 7ac, 8ace, 9ac 2.1 91 93 #1, 2, 3bdf, 4ac, 5, 6, 7ab, 8c, 9ad, 10, 12, 15a,

More information

MATHS S4 Credit Course CHECKLIST

MATHS S4 Credit Course CHECKLIST St Ninian s High School MATHS S Credit Course CHECKLIST I understand this part of the course = I am unsure of this part of the course = I do not understand this part of the course = Name Class Teacher

More information

ALGEBRA 2 HONORS SUMMER WORK. June Dear Algebra 2 Students,

ALGEBRA 2 HONORS SUMMER WORK. June Dear Algebra 2 Students, ALGEBRA HONORS SUMMER WORK June 0 Dear Algebra Students, Attached you will find the Summer Math Packet for Algebra. The purpose of this packet is to review and sharpen your Algebra skills so that when

More information

June Mr. Brown

June Mr. Brown June 06 Hello, future Algebra II students: The packet attached to this letter contains a series of problems that will overview the Algebra I skills you must have mastered in order to have a good start

More information

Sharpening your algebra skills: Summer practice for students. Updated 2009

Sharpening your algebra skills: Summer practice for students. Updated 2009 Sharpening your algebra skills: Summer practice for students Updated 009 1 Summer Work: Enhancing Your Algebra Skills in Preparation for a Successful Year at Asheville School The mission of the Asheville

More information

Intro to Algebra Today. We will learn names for the properties of real numbers. Homework Next Week. Due Tuesday 45-47/ 15-20, 32-35, 40-41, *28,29,38

Intro to Algebra Today. We will learn names for the properties of real numbers. Homework Next Week. Due Tuesday 45-47/ 15-20, 32-35, 40-41, *28,29,38 Intro to Algebra Today We will learn names for the properties of real numbers. Homework Next Week Due Tuesday 45-47/ 15-20, 32-35, 40-41, *28,29,38 Due Thursday Pages 51-53/ 19-24, 29-36, *48-50, 60-65

More information

2-5 Solving Equations Containing Integers. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

2-5 Solving Equations Containing Integers. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes Warm Up Problem of the Day Lesson Presentation Lesson Quizzes Warm Up Use mental math to find each solution. 1. 7 + y = 15 2. x 9 = 9 3. 6x = 24 4. x 12 = 30 Problem of the Day Zelda sold her wet suit

More information

Congratulations on being placed in the GSE Accelerated Analytic Geometry B/Advanced Algebra class for the school year!

Congratulations on being placed in the GSE Accelerated Analytic Geometry B/Advanced Algebra class for the school year! Dear Student: Congratulations on being placed in the GSE Accelerated Analytic Geometry B/Advanced Algebra class for the 0-09 school year! This is a fast-paced and rigorous college-preparatory math course

More information

Linwood High School S3 CREDIT NOTES

Linwood High School S3 CREDIT NOTES Linwood High School S3 CREDIT NOTES INDEX: page 1 Chapter 1: Calculations and the Calculator page 5 Chapter 2: Similar Shapes page 9 Chapter 3: Going Places page 11 Chapter 4: Money Matters - Saving and

More information

HOW TO PASS NATIONAL 5 MATHS

HOW TO PASS NATIONAL 5 MATHS HOW TO PASS NATIONAL MATHS Name: Homework 9 0 Score Homework Sheet Evaluate Find the equation of the straight line passing through these points: (,-) and (,9). Simplify m x m -9 Change the subject of the

More information

3) x -7 4) 3 < x. When multiplying or dividing by a NEGATIVE number, we SWITCH the inequality sign!

3) x -7 4) 3 < x. When multiplying or dividing by a NEGATIVE number, we SWITCH the inequality sign! Name: Date: / / WARM UP 1) What is the difference between an inequality and an equation.? QUIZ DAY! 2) One must be at least 35 years old in order to be president of the United States. If x represents age,

More information

Incoming Magnet Precalculus / Functions Summer Review Assignment

Incoming Magnet Precalculus / Functions Summer Review Assignment Incoming Magnet recalculus / Functions Summer Review ssignment Students, This assignment should serve as a review of the lgebra and Geometry skills necessary for success in recalculus. These skills were

More information

Math 50 Final Exam Sample Problems

Math 50 Final Exam Sample Problems Math 50 Final Eam Sample Problems Note: These review eercises are intended as general practice for Mt. SAC Math 50 students. Please consult with your Math 50 professor to find out if there are additional

More information

CHM101 Lab Math Review and Significant Figures Grading Rubric

CHM101 Lab Math Review and Significant Figures Grading Rubric Name CHM101 Lab Math Review and Significant Figures Grading Rubric Criteria Points possible Points earned Part A (0.25 each) 3.5 Part B (0.25 each) 2.5 Part C (0.25 each) 1.5 Part D (Q5 0.25 each, Q6 &

More information

I. ORDER OF OPERATIONS

I. ORDER OF OPERATIONS ALGEBRA II HONORS REVIEW PACKET NAME This packet contains all of the material that you should have mastered in Algebra I. You are responsible for reviewing this material over the summer and expect an assessment

More information

Evaluate algebraic expressions and use exponents. Translate verbal phrases into expressions.

Evaluate algebraic expressions and use exponents. Translate verbal phrases into expressions. Algebra 1 Notes Section 1.1: Evaluate Expressions Section 1.3: Write Expressions Name: Hour: Objectives: Section 1.1: (The "NOW" green box) Section 1.3: Evaluate algebraic expressions and use exponents.

More information

Mark = / Exam Questions. My Working. 1 Evaluate. 2 Find the equation of the line. 3 Express. in its simplest form. 4 Solve.

Mark = / Exam Questions. My Working. 1 Evaluate. 2 Find the equation of the line. 3 Express. in its simplest form. 4 Solve. 100 Exam Questions 1 Evaluate Mark = /10 My Working 6 1 5 2 1 3 2 Find the equation of the line 3 Express a 2 (2a 1 2 + a) in its simplest form 4 Solve x 2(x 1) = 8 5 Solve 4sinx = 2 for 0 < x < 360 6

More information

Math 074 Final Exam Review. REVIEW FOR NO CALCULATOR PART OF THE EXAM (Questions 1-14)

Math 074 Final Exam Review. REVIEW FOR NO CALCULATOR PART OF THE EXAM (Questions 1-14) Math 074 Final Exam Review REVIEW FOR NO CALCULATOR PART OF THE EXAM (Questions -4) I. Can you add, subtract, multiply and divide fractions and mixed numbers?. Perform the indicated operations. Be sure

More information

Brilliant Public School, Sitamarhi. Class -VII. Maths Worksheets. Session :

Brilliant Public School, Sitamarhi. Class -VII. Maths Worksheets. Session : Brilliant Public School, Sitamarhi Class -VII Maths Worksheets Session : 2012-13 Rajopatti,Dumra Road,Sitamarhi(Bihar),Pin-843301 Ph.06226-252314,Mobile:9431636758 1. SIMPLE EQUATIONS I. SOLVE (i) 7y +

More information

ALGEBRA 2 SUMMER WORK. June Dear Algebra 2 Students,

ALGEBRA 2 SUMMER WORK. June Dear Algebra 2 Students, ALGEBRA SUMMER WORK June 016 Dear Algebra Students, Below you will find the Summer Math Packet for Algebra. The purpose of this packet is to review and sharpen your Algebra 1 skills so that when we return

More information

Early Start: Worksheet #1 No calculator/phone use (11 16) (17 10)3

Early Start: Worksheet #1 No calculator/phone use (11 16) (17 10)3 Early Start: Worksheet #1 No calculator/phone use I. Perform the operations; simplify completely. a) 8 ( + 4) ( 7) + ( 1) b) (11 16) (17 10) c) 7 14 6 d) 1 6 5 e) 4 1 + f) 6 9() 10 + 5 5 1 5 4 g) 9 9 +

More information

Honors Algebra II / Trigonometry

Honors Algebra II / Trigonometry Honors Algebra II / Trigonometry 2013-2014 Instructor: Busselmaier Room: 158 Academic Support Location: Room 158 or Office 152 E-mail: cbusselmaier@regisjesuit.com (email is the best way to get in touch

More information

Accuplacer College Level Math Study Guide

Accuplacer College Level Math Study Guide Testing Center Student Success Center Accuplacer Study Guide The following sample questions are similar to the format and content of questions on the Accuplacer College Level Math test. Reviewing these

More information

National 5 Course Notes. Scientific Notation (or Standard Form) This is a different way of writing very large and very small numbers in the form:-

National 5 Course Notes. Scientific Notation (or Standard Form) This is a different way of writing very large and very small numbers in the form:- National 5 Course Notes Scientific Notation (or Standard Form) This is a different way of writing very large and very small numbers in the form:- a x 10 n where a is between 1 and 10 and n is an integer

More information

BRADFIELD COLLEGE. IGCSE Mathematics. Revision Guide. Bradfield College Maths Department. 1 P age

BRADFIELD COLLEGE. IGCSE Mathematics. Revision Guide. Bradfield College Maths Department. 1 P age BRADFIELD COLLEGE IGCSE Mathematics Revision Guide Bradfield College Maths Department 2010 1 P age Contents Introduction to the Revision Guide... 3 Aims... 3 How to use the guide... 3 Using the different

More information

Fall 2017 Math 108 Week Week 1 Task List

Fall 2017 Math 108 Week Week 1 Task List Fall 2017 Math 108 Week 1 29 Week 1 Task List This week we will cover Sections 1.1, 1.2, and 1.4 in your e-text. Work through each of the following tasks, carefully filling in the following pages in your

More information

8-4. Negative Exponents. What Is the Value of a Power with a Negative Exponent? Lesson. Negative Exponent Property

8-4. Negative Exponents. What Is the Value of a Power with a Negative Exponent? Lesson. Negative Exponent Property Lesson 8-4 Negative Exponents BIG IDEA The numbers x n and x n are reciprocals. What Is the Value of a Power with a Negative Exponent? You have used base 10 with a negative exponent to represent small

More information

Chapter 6: Exponential Functions

Chapter 6: Exponential Functions Chapter 6: Eponential Functions Section 6.1 Chapter 6: Eponential Functions Section 6.1: Eploring Characteristics of Eponential Functions Terminology: Eponential Functions: A function of the form: y =

More information

ARITHMETIC PROGRESSIONS

ARITHMETIC PROGRESSIONS ARITHMETIC PROGRESSIONS 93 ARITHMETIC PROGRESSIONS 5 5.1 Introduction You must have observed that in nature, many things follow a certain pattern, such as the petals of a sunflower, the holes of a honeycomb,

More information

C. Graph the solution to possibilities for Sharmara s number and give the solution in interval notation.

C. Graph the solution to possibilities for Sharmara s number and give the solution in interval notation. Homework Problem Set Sample Solutions S.77 Homework Problem Set 1. Shamara is thinking of a number. A. Could Shamara be thinking of 8? Explain. No, if Shamara thought of 8, the answer would equal 2. B.

More information

AP Exercise 1. This material is created by and is for your personal and non-commercial use only.

AP Exercise 1. This material is created by   and is for your personal and non-commercial use only. 1 AP Exercise 1 Question 1 In which of the following situations, does the list of numbers involved make an arithmetic progression, and why? (i) The taxi fare after each km when the fare is Rs 15 for the

More information

Chapter Solving Equations by Adding, Subtracting, Multiplying, and Dividing.notebook

Chapter Solving Equations by Adding, Subtracting, Multiplying, and Dividing.notebook Bellwork: Write as a fraction and reduce if you can: 1) 2.7 2) 0.325 Homework Questions??? Write each as a decimal, use repeating decimals when necessary: 3) 5/2 4) 6/8 Evaluate: 5) 2x + y; x = 4, y =

More information

12. Quadratics NOTES.notebook September 21, 2017

12. Quadratics NOTES.notebook September 21, 2017 1) Fully factorise 4y 2-5y - 6 Today's Learning: To find the equation of quadratic graphs using substitution of a point. 2) Epand the brackets and simplify: (m + 4)(2m - 3) 3) Calculate 20% of 340 without

More information

MTH 111 Fall 2017 Mathematics Department Missouri State University-West Plains

MTH 111 Fall 2017 Mathematics Department Missouri State University-West Plains MTH 111 Fall 2017 Mathematics Department Missouri State University-West Plains 2 MTH 111 Unit Objectives Unit 1: 1. Simplify numeric expressions using the Order of Operations. 2. Simplify variable expressions

More information

HALF YEARLY EXAMINATIONS 2015/2016

HALF YEARLY EXAMINATIONS 2015/2016 FORM 4 SECONDARY SCHOOLS HALF YEARLY EXAMINATIONS 2015/2016 MATHS NON-CALCULATOR PAPER Track 3 Time: 20 min Name: Non-Calculator Paper Class: Answer all questions. Each question carries 1 mark. Question

More information

MATHS. Year 10 to 11 revision Summer Use this booklet to help you prepare for your first PR in Year 11. Set 1

MATHS. Year 10 to 11 revision Summer Use this booklet to help you prepare for your first PR in Year 11. Set 1 MATHS Year 10 to 11 revision Summer 2018 Use this booklet to help you prepare for your first PR in Year 11. Set 1 Name Maths group 1 Cumulative frequency Use a running total adding on to complete the cumulative

More information

Exercise 6.2. Q. 1. x = 3. Q. 2. y = 2. Q. 3. 2x = 8 x = 4. Q. 4. 3a = 27 a = 9. Q. 5. 3x = 3 x = 1. Q. 6. 4x = 20 x = 5. Q. 7.

Exercise 6.2. Q. 1. x = 3. Q. 2. y = 2. Q. 3. 2x = 8 x = 4. Q. 4. 3a = 27 a = 9. Q. 5. 3x = 3 x = 1. Q. 6. 4x = 20 x = 5. Q. 7. Chapter Exercise. Q.. (i) (vi) 9 (ii) 7 (vii) 9 (iii) (viii) (iv) (ix) (v) (x) Q.. (i) () + ( ) = = = False (, ) is not solution (ii) + = = () + () = + = = (,) is solution (iii) ( ) () = = = False (,)

More information

Maths Scheme of Work. Class: Year 10. Term: autumn 1: 32 lessons (24 hours) Number of lessons

Maths Scheme of Work. Class: Year 10. Term: autumn 1: 32 lessons (24 hours) Number of lessons Maths Scheme of Work Class: Year 10 Term: autumn 1: 32 lessons (24 hours) Number of lessons Topic and Learning objectives Work to be covered Method of differentiation and SMSC 11 OCR 1 Number Operations

More information

Q3 Algebra Review Pre-calculus Name. Solve using sign patterning. Write your answer in algebraic form.

Q3 Algebra Review Pre-calculus Name. Solve using sign patterning. Write your answer in algebraic form. Q3 Algebra Review Pre-calculus Name If the sum of the roots of a quadratic equation is b a and the product of the roots is a c. Find a quadratic equation (with integral coefficients) with the following

More information

LINEAR INEQUALITIES. Chapter Overview

LINEAR INEQUALITIES.  Chapter Overview LINEAR INEQUALITIES Chapter 6 6.1 Overview 6.1.1 A statement involving the symbols >, 3, x 4, x + y 9. (ii) (iii) (iv) (v) Inequalities which do not involve

More information

1. 4 2y 1 2 = x = x 1 2 x + 1 = x x + 1 = x = 6. w = 2. 5 x

1. 4 2y 1 2 = x = x 1 2 x + 1 = x x + 1 = x = 6. w = 2. 5 x .... VII x + x + = x x x 8 x x = x + a = a + x x = x + x x Solve the absolute value equations.. z = 8. x + 7 =. x =. x =. y = 7 + y VIII Solve the exponential equations.. 0 x = 000. 0 x+ = 00. x+ = 8.

More information

UNIT 2 SOLVING EQUATIONS

UNIT 2 SOLVING EQUATIONS UNIT 2 SOLVING EQUATIONS NAME: GRADE: TEACHER: Ms. Schmidt _ Solving One and Two Step Equations The goal of solving equations is to. We do so by using. *Remember, whatever you to do one side of an equation.

More information

Algebra 2 (All Levels)

Algebra 2 (All Levels) Algebra (All evels) Summer 0 Review Packet AKEAND REGINA HIGH SCH MATH DEPARTMENT This review packet is worth 0 points on our st marking period grade! It contains concepts which ou have previousl mastered

More information

Honors Algebra 2 ~ Spring 2014 Unit 6 ~ Chapter 8 Name Unit 6: Exponential & Logarithmic Functions NC Objectives: DAY DATE LESSON ASSIGNMENT

Honors Algebra 2 ~ Spring 2014 Unit 6 ~ Chapter 8 Name Unit 6: Exponential & Logarithmic Functions NC Objectives: DAY DATE LESSON ASSIGNMENT Honors Algebra ~ Spring 0 Unit ~ Chapter 8 Name Unit : Eponential & Logarithmic Functions NC Objectives:.0 Simplify and perform operations with rational eponents and logarithms to solve problems..0 Us

More information

We ll start today by learning how to change a decimal to a fraction on our calculator! Then we will pick up our Unit 1-5 Review where we left off!

We ll start today by learning how to change a decimal to a fraction on our calculator! Then we will pick up our Unit 1-5 Review where we left off! Welcome to math! We ll start today by learning how to change a decimal to a fraction on our calculator! Then we will pick up our Unit 1-5 Review where we left off! So go back to your normal seat and get

More information

L E S S O N M A S T E R. Name. Vocabulary. 1. In the expression b n, b is called the?.

L E S S O N M A S T E R. Name. Vocabulary. 1. In the expression b n, b is called the?. Vocabulary 7- See pages 7-7 for objectives.. In the epression b n, b is called the?.. The identity function f has the equation f()?.. If g(), is g an eample of a power function? Why or why not?. In a game

More information

6 SQUARES AND SQUARE ROOTS

6 SQUARES AND SQUARE ROOTS 6 SQUARES AND SQUARE ROOTS Exercise 6.1 Q.1. What will be the unit digit of the squares of the following numbers? (i) 81 (ii) 272 (iii) 799 (iv) 3853 (v) 1234 (vi) 26387 (vii) 52698 (viii) 99880 (ix) 12796

More information

CFE National 5 Resource

CFE National 5 Resource Pegasys Educational Publishing CFE National 5 Resource Unit Applications Homework Exercises Homework exercises covering all the Unit topics + Answers + Marking Schemes Pegasys 0 TRIGONOMETRY () AREA of

More information

MATHEMATICS Component 2 Calculator-Allowed Mathematics HIGHER TIER

MATHEMATICS Component 2 Calculator-Allowed Mathematics HIGHER TIER Surname Centre Number Candidate Number Other Names 0 GCSE C300UB0-1 S18-C300UB0-1 MATHEMATICS Component 2 Calculator-Allowed Mathematics HIGHER TIER THURSDAY, 7 JUNE 2018 MORNING 2 hours 15 minutes For

More information

Requisite Approval must be attached

Requisite Approval must be attached Requisite Approval must be attached CITRUS COMMUNITY COLLEGE DISTRICT DEPARTMENT Mathematics COURSE NUMBER MATH 150 TITLE Intermediate Algebra THIS COURSE IS CLASSIFIED AS: DEGREE APPLICABLE UNIT VALUE

More information

Middle School Mathematics Trimester 1 Subject Overview

Middle School Mathematics Trimester 1 Subject Overview 1 Class 7 Topics Number Algebraic Expressions Solving Equations Angles Content Recognise multiples, factors, common factors, primes (all less than 100), making use of simple tests of divisibility; find

More information

Make the Grade. A Programme for Success. Target Grade A

Make the Grade. A Programme for Success. Target Grade A Make the Grade A Programme for Success Target Grade A MAKE THE GRADE NUMBER 1. a) Find the Highest Common Factor of 36 and 84 b) Find the Least Common Multiple of 28 and 42 2. a) Write the following numbers

More information

Prerequisite knowledge/skills: Before entering the course, the student should be able to:

Prerequisite knowledge/skills: Before entering the course, the student should be able to: Reviewed by: D. Jones Reviewed by: M. Martinez Reviewed by: R. Payne Text update: Fall 2017 Date reviewed: February 2014 C&GE Approved: March 10, 2014 Board Approved: April 9, 2014 Semester Effective:

More information

( 3x) ( 6p) 3pq. Simplify each expression. Simplify each of the following: 8x y x

( 3x) ( 6p) 3pq. Simplify each expression. Simplify each of the following: 8x y x HW Chapter 8 Eponents Simplif each of the following: 7 ( )( ) a ( a )( a ) Simplif each epression. 7 ( )( ) ( cd )( c ) Simplif each of the following assuming that no denominator is equal to zero. Leave

More information

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Math 1332 Exam Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the cardinal number for the set. 1) {10, 12, 14,..., 68} 1) Are the sets

More information

b. Why do you suppose the percentage of women doctors has been increasing over the past 40 years?

b. Why do you suppose the percentage of women doctors has been increasing over the past 40 years? Special Topics: U3. L2. Inv 1 Name: Homework: Math XL Unit 3: HW: 9/14-9/18 Week 2(Due Friday, 9/18, by 11:59 pm) Lesson Target: Being able to formulate linear equations and inequalities and solutions

More information

S4 Credit Homework Exercise. Simplify the following: 5 7 4d x x ( y 4 ) 8 6 8d e 4 7 (d) x ( x + x ). Write the following in root form: 4 5 x y 9 6 7 t (d) 4 p 5. Find the gradients of the lines joining

More information

S2 (2.5) Length and Area.notebook March 08, 2017

S2 (2.5) Length and Area.notebook March 08, 2017 Daily Practice 17.5.2016 Q1. 457-210 Q1. 265 x 9 Q2. 23.4 x 100 Q2. -7-3 (Getting Colder!) Q3. Round 178 to the nearest 100 Q3. -5 + 16 Q4. State all the factors of 18 and 12 Q4. 350 100 Q5. 6 x 5-1 Q5.

More information

Entering all sections of Algebra I Summer Math Packet

Entering all sections of Algebra I Summer Math Packet Entering all sections of Algebra I Summer Math Packet This packet is designed for you to review all of your algebra skills and make sure you are well prepared for the start of Algebra or Honors Algebra

More information

MATHS Level 4+ Course Pupil Learning Log

MATHS Level 4+ Course Pupil Learning Log Success is 99% Perspiration and % Inspiration St Ninian s High School Hard Work beats Talent every time when Talent doesn t Work Hard MATHS Level + Course Pupil Learning Log Expect to get out what you

More information

y = b x Exponential and Logarithmic Functions LESSON ONE - Exponential Functions Lesson Notes Example 1 Set-Builder Notation

y = b x Exponential and Logarithmic Functions LESSON ONE - Exponential Functions Lesson Notes Example 1  Set-Builder Notation y = b x Exponential and Logarithmic Functions LESSON ONE - Exponential Functions Example 1 Exponential Functions Graphing Exponential Functions For each exponential function: i) Complete the table of values

More information

Unit 5. POLYNOMIALS. 1. WHAT IS ALGEBRA? WHY STUDY ALGEBRA? To answer this question, please visit this webpage:

Unit 5. POLYNOMIALS. 1. WHAT IS ALGEBRA? WHY STUDY ALGEBRA? To answer this question, please visit this webpage: Unit 5. POLYNOMIALS. 1. WHAT IS ALGEBRA? WHY STUDY ALGEBRA? To answer this question, please visit this webpage: http://math.about.com/od/algebra/a/whyalgebra.htm 2. ALGEBRAIC LANGUAGE. Algebraic language

More information

Chapter 2. Section < , 2, 0, 3. Objective A Exercises, pages , 3, 1, , 0, 5, 9 37.

Chapter 2. Section < , 2, 0, 3. Objective A Exercises, pages , 3, 1, , 0, 5, 9 37. Chapter 2 Section 2.1 Objective A Exercises, pages 97 98 1. -6-5 -4-3 -2-1 0 1 2 3 4 5 6 3. -6-5 -4-3 -2-1 0 1 2 3 4 5 6 5. -6-5 -4-3 -2-1 0 1 2 3 4 5 6 7. -6-5 -4-3 -2-1 0 1 2 3 4 5 6 9. 3-6 -5-4 -3-2

More information

Lesson 2: Introduction to Variables

Lesson 2: Introduction to Variables In this lesson we begin our study of algebra by introducing the concept of a variable as an unknown or varying quantity in an algebraic expression. We then take a closer look at algebraic expressions to

More information

= ( 17) = (-4) + (-6) = (-3) + (- 14) + 20

= ( 17) = (-4) + (-6) = (-3) + (- 14) + 20 Integer Operations Adding Integers If the signs are the same, add the numbers and keep the sign. If the signs are different, find the difference and use the sign of the number with the greatest absolute

More information

THOMAS WHITHAM SIXTH FORM

THOMAS WHITHAM SIXTH FORM THOMAS WHITHAM SIXTH FORM Algebra Foundation & Higher Tier Units & thomaswhitham.pbworks.com Algebra () Collection of like terms. Simplif each of the following epressions a) a a a b) m m m c) d) d d 6d

More information

Algebra 1 A.9 A.10 Statistics Study Guide Page 1 Name: Date: Block: SOL A.9, A.10 Statistics Test Study Guide

Algebra 1 A.9 A.10 Statistics Study Guide Page 1 Name: Date: Block: SOL A.9, A.10 Statistics Test Study Guide Algebra 1 A.9 A.10 Statistics Study Guide Page 1 Name: Date: Block: Know how to: SOL A.9, A.10 Statistics Test Study Guide Find the mean, median, mode, and range for a set of data, and compare these measures.

More information

10-1 Sequences as Functions. Determine whether each sequence is arithmetic. Write yes or no , 3, 0, 3, 9

10-1 Sequences as Functions. Determine whether each sequence is arithmetic. Write yes or no , 3, 0, 3, 9 Determine whether each sequence is arithmetic. Write yes or no. 22. 9, 3, 0, 3, 9 Find the next four terms of each arithmetic sequence. Then graph the sequence. 26. 10, 2, 6, 14, There is no common difference.

More information

Grade 6 The Number System & Mathematical Operations

Grade 6 The Number System & Mathematical Operations Slide 1 / 206 Slide 2 / 206 Grade 6 The Number System & Mathematical Operations 2015-10-20 www.njctl.org Slide 3 / 206 Table of Contents Addition, Natural Numbers & Whole Numbers Addition, Subtraction

More information

Grade 6. The Number System & Mathematical Operations.

Grade 6. The Number System & Mathematical Operations. 1 Grade 6 The Number System & Mathematical Operations 2015 10 20 www.njctl.org 2 Table of Contents Addition, Natural Numbers & Whole Numbers Addition, Subtraction and Integers Multiplication, Division

More information

Algebra I. Course Outline

Algebra I. Course Outline Algebra I Course Outline I. The Language of Algebra A. Variables and Expressions B. Order of Operations C. Open Sentences D. Identity and Equality Properties E. The Distributive Property F. Commutative

More information

Here are some helpful websites you may find useful if your child gets stuck on the summer packet or would like to do some additional work online.

Here are some helpful websites you may find useful if your child gets stuck on the summer packet or would like to do some additional work online. 2015 Mathematics Packet for Rising 7 th Graders In addition, the Middle School Mathematics Department is asking your child to work on the attached summer math review packet. This packet reviews key concepts

More information

Unit 3. POLYNOMIALS AND ALGEBRAIC FRACTIONS.

Unit 3. POLYNOMIALS AND ALGEBRAIC FRACTIONS. Unit 3. POLYNOMIALS AND ALGEBRAIC FRACTIONS. 1. WHAT IS ALGEBRA? WHY STUDY ALGEBRA? To answer this question, please visit this webpage: http://math.about.com/od/algebra/a/whyalgebra.htm Algebraic language

More information

Simplify each numerical expression. Show all work! Only use a calculator to check. 1) x ) 25 ( x 2 3) 3) 4)

Simplify each numerical expression. Show all work! Only use a calculator to check. 1) x ) 25 ( x 2 3) 3) 4) NAME HONORS ALGEBRA II REVIEW PACKET To maintain a high quality program, students entering Honors Algebra II are expected to remember the basics of the mathematics taught in their Algebra I course. In

More information

Algebra I Pre-AP Summer Packet 2018

Algebra I Pre-AP Summer Packet 2018 Algebra I Pre-AP Summer Packet 2018 Name: This packet is intended to give students an opportunity to recall the main concepts from 8 th Grade Math in order to facilitate their transition to Algebra I Pre-AP.

More information

Rational Numbers and Equations

Rational Numbers and Equations http://uva.onlinejudge.org/external/113/p11327.png Rational Numbers and Equations http://math.phillipmartin.info/math_rational_numbers.gif http://www.karlscalculus.org/counting.gif 1 Rational Numbers Understand

More information

Welcome to OSA Training 2015 Basic Math. By: Greg Hinckson Irena Nedeljkovic Iris Bishop Mitch Volk

Welcome to OSA Training 2015 Basic Math. By: Greg Hinckson Irena Nedeljkovic Iris Bishop Mitch Volk Welcome to OSA Training 2015 Basic Math By: Greg Hinckson Irena Nedeljkovic Iris Bishop Mitch Volk Curriculum I. WHOLE NUMBERS -Oder of Operations II. DECIMALS -Decimals to Percents to Fractions III. PERCENTS

More information

4.3. Model With Formulas. Investigate Use Formulas to Solve Problems

4.3. Model With Formulas. Investigate Use Formulas to Solve Problems 4.3 Model With Formulas The game of volleyball was invented in the late 19th century as an alternative to basketball. Six players on each team hit the ball back and forth over the net. The players try

More information

ACTIVITY: Simplifying Algebraic Expressions

ACTIVITY: Simplifying Algebraic Expressions . Algebraic Expressions How can you simplify an algebraic expression? ACTIVITY: Simplifying Algebraic Expressions Work with a partner. a. Evaluate each algebraic expression when x = 0 and when x =. Use

More information

Algebra Terminology Part 1

Algebra Terminology Part 1 Grade 8 1 Algebra Terminology Part 1 Constant term or constant Variable Numerical coefficient Algebraic term Like terms/unlike Terms Algebraic expression Algebraic equation Simplifying Solving TRANSLATION

More information

Further Signed Numbers

Further Signed Numbers Worksheet 1.7 Further Signed Numbers Section 1 Multiplication of signed numbers Multiplication is a shorthand way of adding together a large number of the same thing. For example, if I have 3 bags of oranges

More information

CALCULUS AB/BC SUMMER REVIEW PACKET

CALCULUS AB/BC SUMMER REVIEW PACKET Name CALCULUS AB/BC SUMMER REVIEW PACKET Welcome to AP Calculus! Calculus is a branch of advanced mathematics that deals with problems that cannot be solved with ordinary algebra such as rate problems

More information

Southington High School 720 Pleasant Street Southington, CT 06489

Southington High School 720 Pleasant Street Southington, CT 06489 BLUE KNIGHTS Southington High School 720 Pleasant Street Southington, CT 06489 Phone: (860) 628-3229 Fax: (860) 628-3397 Home Page: www.southingtonschools.org Principal Brian Stranieri Assistant Principals

More information

Unit 8: Exponential & Logarithmic Functions

Unit 8: Exponential & Logarithmic Functions Date Period Unit 8: Eponential & Logarithmic Functions DAY TOPIC ASSIGNMENT 1 8.1 Eponential Growth Pg 47 48 #1 15 odd; 6, 54, 55 8.1 Eponential Decay Pg 47 48 #16 all; 5 1 odd; 5, 7 4 all; 45 5 all 4

More information