This presentation shows how to solve two step linear equations using Opposite Operations and Reversing their order.
To obtain a PowerPoint format download of this presentation, go to the following page:
http://passyworldofmathematics.com/pwerpoints/
Multi-step equations can be solved using a 4 step process: 1) distribute, 2) combine like terms, 3) get variables on one side, and 4) isolate the variable. An example problem is worked through to demonstrate the steps: 7(x+9) – 10 = 2x + 6. First, terms are distributed and combined like terms. Then, variables are isolated on one side by subtracting them from both sides of the equation. Finally, the variable is isolated on one side of the equation to solve for its value.
This document provides a review of solving equations. It begins with an overview of the order of operations using PEMDAS/PEDMAS. It then contrasts the difference between expressions and equations, explaining that expressions are simplified while equations are solved. The document outlines the steps to solve for a variable in an equation: simplify, combine like terms, isolate the term with the variable, and then isolate the variable. Examples are provided to illustrate these steps.
This document outlines the four steps to solve multi-step equations: 1) Distribute, 2) Combine Like Terms, 3) Isolate one side of the equation, and 4) Isolate the variable. It provides an example problem of 7(x+9)-10=2x+6 and works through each step to solve for x. The author reflects that distributing and combining like terms were challenging, while adding terms was easier.
This document outlines an algebra lesson plan that uses manipulatives to teach students how to solve one-step and two-step equations. The lesson includes an opening activity, modeling solving equations concretely and pictorially, having students create flow maps to represent the steps, and concluding with an exit survey where students solve an equation.
This document provides examples for solving two-step equations. It contains 32 examples that involve combinations of addition, subtraction, multiplication, and division, and show the steps to solve for the unknown using the inverse operations. The examples are divided into two sets - the first 16 have only positive numbers, while the remaining 16 can have positive or negative numbers.
This document discusses solving two-step equations. It provides examples of solving equations through undoing operations in reverse order based on the PEMDAS method. Students are shown how to solve equations, check their work, and apply equation solving to real-life word problems involving variables like the number of pickles a soccer player can eat or the price of plants at a fundraiser.
1) The document discusses how exponential growth and decay occur in many natural and technological systems.
2) It provides examples of exponential growth such as population growth, fuel consumption, and spread of information through social networks.
3) Exponential decay is also covered through examples like the decrease of radiation over time and reduction of sound and light intensity with distance.
Multi-step equations can be solved using a 4 step process: 1) distribute, 2) combine like terms, 3) get variables on one side, and 4) isolate the variable. An example problem is worked through to demonstrate the steps: 7(x+9) – 10 = 2x + 6. First, terms are distributed and combined like terms. Then, variables are isolated on one side by subtracting them from both sides of the equation. Finally, the variable is isolated on one side of the equation to solve for its value.
This document provides a review of solving equations. It begins with an overview of the order of operations using PEMDAS/PEDMAS. It then contrasts the difference between expressions and equations, explaining that expressions are simplified while equations are solved. The document outlines the steps to solve for a variable in an equation: simplify, combine like terms, isolate the term with the variable, and then isolate the variable. Examples are provided to illustrate these steps.
This document outlines the four steps to solve multi-step equations: 1) Distribute, 2) Combine Like Terms, 3) Isolate one side of the equation, and 4) Isolate the variable. It provides an example problem of 7(x+9)-10=2x+6 and works through each step to solve for x. The author reflects that distributing and combining like terms were challenging, while adding terms was easier.
This document outlines an algebra lesson plan that uses manipulatives to teach students how to solve one-step and two-step equations. The lesson includes an opening activity, modeling solving equations concretely and pictorially, having students create flow maps to represent the steps, and concluding with an exit survey where students solve an equation.
This document provides examples for solving two-step equations. It contains 32 examples that involve combinations of addition, subtraction, multiplication, and division, and show the steps to solve for the unknown using the inverse operations. The examples are divided into two sets - the first 16 have only positive numbers, while the remaining 16 can have positive or negative numbers.
This document discusses solving two-step equations. It provides examples of solving equations through undoing operations in reverse order based on the PEMDAS method. Students are shown how to solve equations, check their work, and apply equation solving to real-life word problems involving variables like the number of pickles a soccer player can eat or the price of plants at a fundraiser.
1) The document discusses how exponential growth and decay occur in many natural and technological systems.
2) It provides examples of exponential growth such as population growth, fuel consumption, and spread of information through social networks.
3) Exponential decay is also covered through examples like the decrease of radiation over time and reduction of sound and light intensity with distance.
This document provides rules and explanations for operations involving exponents. It discusses:
1) The rule for adding or subtracting exponents with the same base, such as am + n = amxn or am ÷ an = am-n.
2) Exceptions when the bases are different, such as 23 x m4 ≠ 2m7.
3) The power of a power rule, such as (n2)4 = n8, which only works for a single positive base in brackets.
4) How to expand products and quotients with the same exponents, such as (2a)2 = 4a2, and simplify fractions with different bases but the same exponents.
The document provides steps for solving equations with fractions that involve the same variable on both sides. It explains that these types of equations cannot be solved using traditional back-tracking methods. The extra steps include: 1) cross multiplying using brackets to remove fractions, 2) identifying the smaller letter term on both sides, and 3) applying the opposite operation to this term on both sides before simplifying and solving as normal. It then works through examples demonstrating these steps, such as solving the equation n-3=n+6/2/3.
This document provides steps for solving equations with variables on both sides:
1. Expand any brackets first.
2. Identify the smaller term with the variable.
3. Apply the opposite operation (+ or -) to that term on both sides.
4. Simplify and solve the resulting equation normally using techniques like onion skins or backtracking.
Worked examples demonstrate subtracting and adding the smaller variable term to move it to one side.
- The gradient or slope represents how steep a slope is, with uphill slopes being positive and downhill slopes being negative.
- The gradient is measured by the rise over the run, where rise is the vertical change in distance and run is the horizontal change in distance between two points.
- To find the gradient between two points, you create a right triangle between the points and calculate the rise as the vertical leg and the run as the horizontal leg, then plug those values into the formula: Gradient = Rise/Run.
The document discusses finding the midpoint between two points on a coordinate grid. It provides examples of using the midpoint formula, which is (x1 + x2)/2 for the x-coordinate and (y1 + y2)/2 for the y-coordinate, where (x1, y1) are the coordinates of the first point and (x2, y2) are the coordinates of the second point. It also presents an alternative method of adding the x- and y-coordinates of the two points separately and dividing each sum by two.
This document discusses linear relationships and rules for determining the relationship between x and y values in a table. There are three main types of linear rules: 1) simple addition or subtraction, 2) simple multiplication or division, and 3) combination rules using y=mx+c. To determine the rule, you first check if it follows addition/subtraction by looking for a consistent difference between y-x values. If not, you check for multiplication/division by looking at y/x values. If neither, it uses a combination rule where you calculate the slope m from the change in y over change in x, use a point to find the y-intercept c, then write the rule as y=mx+c. Examples
The document describes how to create a back-to-back stem and leaf plot to compare the battery life data from two phone brands. It shows the raw battery life data for each brand in hours. Then it draws individual stem and leaf plots for each brand's data. Finally, it combines the two plots by reversing one and placing them side by side to allow direct comparison of the battery life distributions between the two brands.
The document discusses different types of distributions in graphs of test score data:
- Positive skew occurs when a small number of high scores stretch the graph out to the right, with the mean higher than the median and mode.
- Negative skew is the opposite, with a small number of low scores stretching the graph left and the mean lower than the median and mode.
- A symmetrical distribution has scores evenly distributed on both sides of the median, with the mean, median and mode close together.
A coffee shop conducted a two-day survey to determine the average number of cappuccinos made per hour. A histogram showed the frequency of cappuccinos made within various hourly intervals. To calculate the average, interval midpoints were determined and multiplied by the frequencies. The total of these products was divided by the total frequency, determining that the average number of cappuccinos made per hour was 10.
After take-off, planes ascend at an angle to reach their cruising altitude. This angle of elevation is related to the opposite and adjacent sides of a right triangle through the tangent ratio, which is the opposite side divided by the adjacent side. For any right triangle with the same angle, the tangent ratio of opposite over adjacent will be the same value. Solving tangent triangle problems involves labeling sides, determining what is unknown (opposite, adjacent, or angle), and using the appropriate tangent formula along with a calculator set to degrees mode.
The document discusses the relationship between trigonometric functions like sine and cosine waves and sound waves. It explains that distorted heavy metal guitar sounds occur when smooth sine and cosine waves are transformed into square, sawtooth, or triangle waves. It then provides instructions and examples for using cosine functions to solve right triangle problems, including determining unknown side lengths or angles using special calculator buttons.
When a plane descends for landing, its flight path forms a right triangle with its speed and angle determining the hypotenuse. There are four formulas for working with sine triangles: opposite side equals hypotenuse multiplied by sine of the angle; angle equals inverse sine of opposite over hypotenuse; hypotenuse equals opposite divided by sine of the angle; and calculators use the sine and inverse sine buttons set to degrees mode. Solving sine triangle problems involves labeling sides, identifying the unknown, and applying the appropriate formula while substituting values and rounding answers.
This document discusses the mathematics behind similar triangles and their use in calculating unknown heights or lengths. It provides examples of using scale factors to determine the height of tall objects from shadow lengths. Similar triangles are used when two triangles share the same angle measures or their angles are vertical angles. The scale factor is set up as a ratio of corresponding sides between the two triangles. Cross multiplying the scale factor equation allows the calculation of unknown sides or heights.
The document discusses similar triangles and scale factors. It provides examples of similar triangles in nature, art, architecture, and mathematics. It explains the different rules to determine if triangles are similar: AAA (angle-angle-angle), PPP (proportional property), PAP (proportional angles property), and RHS (right-hypotenuse-side). Examples are given applying these rules to prove triangles are similar and calculate missing side lengths or scale factors.
This document provides an overview of congruent triangles and the different rules that can be used to prove triangles are congruent. It defines congruent triangles as triangles that have the same size and shape. It then presents four main rules for proving triangles are congruent: 1) three sides are equal (SSS rule), 2) two sides and the included angle are equal (SAS rule), 3) two angles and a non-included side are equal (AAS rule), and 4) a right angle, hypotenuse, and one other side are equal (RHS rule). The document explains each rule and provides examples of how to apply them to identify matching elements and prove triangles congruent.
This document discusses finding the common factor of algebraic expressions. It explains that to find the common factor, one must break down all numbers within the expressions into their prime number factors. The common factors that are present in both expressions are then written outside of parentheses, while the remaining terms are written inside. Several examples are provided of factorizing expressions using this process of identifying common prime factors. The "highest common factor" refers to the largest common factor present outside of the parentheses.
Expanding binomial expressions is an important mathematical skill used in graphing parabolic shapes like the Sydney Harbour Bridge. There are two methods for expanding binomial expressions: using the order of operations (BODMAS/PEMDAS) or using the binomial expansion/FOIL method. Examples show how to apply the distribution property to expand binomial expressions with two, three, or four terms in the result. Expanding binomials is a fundamental skill needed for more advanced mathematics.
The document discusses the "onion skin" method for transposing (rearranging) algebra formula equations. It explains that with this method, you draw concentric "skins" or circles around the equation, starting with the variable you want to isolate. You then work inward by applying the opposite operations to each term or part of the equation until the desired variable is alone on one side. It provides examples of using this method to transpose different types of equations, including ones with fractions, exponents, multiple variables, and square roots.
This document discusses significant figures and how to determine the number of significant figures in a value. It explains that significant figures are used for estimated or rounded values, not exact values like monetary amounts. The key points made are:
- Significant figures can be determined by writing the number in scientific notation. The number of digits in the mantissa is the number of significant figures.
- For numbers greater than 1, the power of 10 will be positive. For numbers between 0 and 1, the power of 10 will be negative.
- Moving the decimal and dropping unnecessary zeros converts the number to a form to count significant figures. Trailing zeros after a decimal are always significant.
- Examples are provided to demonstrate
How Barcodes Can Be Leveraged Within Odoo 17Celine George
In this presentation, we will explore how barcodes can be leveraged within Odoo 17 to streamline our manufacturing processes. We will cover the configuration steps, how to utilize barcodes in different manufacturing scenarios, and the overall benefits of implementing this technology.
This document provides rules and explanations for operations involving exponents. It discusses:
1) The rule for adding or subtracting exponents with the same base, such as am + n = amxn or am ÷ an = am-n.
2) Exceptions when the bases are different, such as 23 x m4 ≠ 2m7.
3) The power of a power rule, such as (n2)4 = n8, which only works for a single positive base in brackets.
4) How to expand products and quotients with the same exponents, such as (2a)2 = 4a2, and simplify fractions with different bases but the same exponents.
The document provides steps for solving equations with fractions that involve the same variable on both sides. It explains that these types of equations cannot be solved using traditional back-tracking methods. The extra steps include: 1) cross multiplying using brackets to remove fractions, 2) identifying the smaller letter term on both sides, and 3) applying the opposite operation to this term on both sides before simplifying and solving as normal. It then works through examples demonstrating these steps, such as solving the equation n-3=n+6/2/3.
This document provides steps for solving equations with variables on both sides:
1. Expand any brackets first.
2. Identify the smaller term with the variable.
3. Apply the opposite operation (+ or -) to that term on both sides.
4. Simplify and solve the resulting equation normally using techniques like onion skins or backtracking.
Worked examples demonstrate subtracting and adding the smaller variable term to move it to one side.
- The gradient or slope represents how steep a slope is, with uphill slopes being positive and downhill slopes being negative.
- The gradient is measured by the rise over the run, where rise is the vertical change in distance and run is the horizontal change in distance between two points.
- To find the gradient between two points, you create a right triangle between the points and calculate the rise as the vertical leg and the run as the horizontal leg, then plug those values into the formula: Gradient = Rise/Run.
The document discusses finding the midpoint between two points on a coordinate grid. It provides examples of using the midpoint formula, which is (x1 + x2)/2 for the x-coordinate and (y1 + y2)/2 for the y-coordinate, where (x1, y1) are the coordinates of the first point and (x2, y2) are the coordinates of the second point. It also presents an alternative method of adding the x- and y-coordinates of the two points separately and dividing each sum by two.
This document discusses linear relationships and rules for determining the relationship between x and y values in a table. There are three main types of linear rules: 1) simple addition or subtraction, 2) simple multiplication or division, and 3) combination rules using y=mx+c. To determine the rule, you first check if it follows addition/subtraction by looking for a consistent difference between y-x values. If not, you check for multiplication/division by looking at y/x values. If neither, it uses a combination rule where you calculate the slope m from the change in y over change in x, use a point to find the y-intercept c, then write the rule as y=mx+c. Examples
The document describes how to create a back-to-back stem and leaf plot to compare the battery life data from two phone brands. It shows the raw battery life data for each brand in hours. Then it draws individual stem and leaf plots for each brand's data. Finally, it combines the two plots by reversing one and placing them side by side to allow direct comparison of the battery life distributions between the two brands.
The document discusses different types of distributions in graphs of test score data:
- Positive skew occurs when a small number of high scores stretch the graph out to the right, with the mean higher than the median and mode.
- Negative skew is the opposite, with a small number of low scores stretching the graph left and the mean lower than the median and mode.
- A symmetrical distribution has scores evenly distributed on both sides of the median, with the mean, median and mode close together.
A coffee shop conducted a two-day survey to determine the average number of cappuccinos made per hour. A histogram showed the frequency of cappuccinos made within various hourly intervals. To calculate the average, interval midpoints were determined and multiplied by the frequencies. The total of these products was divided by the total frequency, determining that the average number of cappuccinos made per hour was 10.
After take-off, planes ascend at an angle to reach their cruising altitude. This angle of elevation is related to the opposite and adjacent sides of a right triangle through the tangent ratio, which is the opposite side divided by the adjacent side. For any right triangle with the same angle, the tangent ratio of opposite over adjacent will be the same value. Solving tangent triangle problems involves labeling sides, determining what is unknown (opposite, adjacent, or angle), and using the appropriate tangent formula along with a calculator set to degrees mode.
The document discusses the relationship between trigonometric functions like sine and cosine waves and sound waves. It explains that distorted heavy metal guitar sounds occur when smooth sine and cosine waves are transformed into square, sawtooth, or triangle waves. It then provides instructions and examples for using cosine functions to solve right triangle problems, including determining unknown side lengths or angles using special calculator buttons.
When a plane descends for landing, its flight path forms a right triangle with its speed and angle determining the hypotenuse. There are four formulas for working with sine triangles: opposite side equals hypotenuse multiplied by sine of the angle; angle equals inverse sine of opposite over hypotenuse; hypotenuse equals opposite divided by sine of the angle; and calculators use the sine and inverse sine buttons set to degrees mode. Solving sine triangle problems involves labeling sides, identifying the unknown, and applying the appropriate formula while substituting values and rounding answers.
This document discusses the mathematics behind similar triangles and their use in calculating unknown heights or lengths. It provides examples of using scale factors to determine the height of tall objects from shadow lengths. Similar triangles are used when two triangles share the same angle measures or their angles are vertical angles. The scale factor is set up as a ratio of corresponding sides between the two triangles. Cross multiplying the scale factor equation allows the calculation of unknown sides or heights.
The document discusses similar triangles and scale factors. It provides examples of similar triangles in nature, art, architecture, and mathematics. It explains the different rules to determine if triangles are similar: AAA (angle-angle-angle), PPP (proportional property), PAP (proportional angles property), and RHS (right-hypotenuse-side). Examples are given applying these rules to prove triangles are similar and calculate missing side lengths or scale factors.
This document provides an overview of congruent triangles and the different rules that can be used to prove triangles are congruent. It defines congruent triangles as triangles that have the same size and shape. It then presents four main rules for proving triangles are congruent: 1) three sides are equal (SSS rule), 2) two sides and the included angle are equal (SAS rule), 3) two angles and a non-included side are equal (AAS rule), and 4) a right angle, hypotenuse, and one other side are equal (RHS rule). The document explains each rule and provides examples of how to apply them to identify matching elements and prove triangles congruent.
This document discusses finding the common factor of algebraic expressions. It explains that to find the common factor, one must break down all numbers within the expressions into their prime number factors. The common factors that are present in both expressions are then written outside of parentheses, while the remaining terms are written inside. Several examples are provided of factorizing expressions using this process of identifying common prime factors. The "highest common factor" refers to the largest common factor present outside of the parentheses.
Expanding binomial expressions is an important mathematical skill used in graphing parabolic shapes like the Sydney Harbour Bridge. There are two methods for expanding binomial expressions: using the order of operations (BODMAS/PEMDAS) or using the binomial expansion/FOIL method. Examples show how to apply the distribution property to expand binomial expressions with two, three, or four terms in the result. Expanding binomials is a fundamental skill needed for more advanced mathematics.
The document discusses the "onion skin" method for transposing (rearranging) algebra formula equations. It explains that with this method, you draw concentric "skins" or circles around the equation, starting with the variable you want to isolate. You then work inward by applying the opposite operations to each term or part of the equation until the desired variable is alone on one side. It provides examples of using this method to transpose different types of equations, including ones with fractions, exponents, multiple variables, and square roots.
This document discusses significant figures and how to determine the number of significant figures in a value. It explains that significant figures are used for estimated or rounded values, not exact values like monetary amounts. The key points made are:
- Significant figures can be determined by writing the number in scientific notation. The number of digits in the mantissa is the number of significant figures.
- For numbers greater than 1, the power of 10 will be positive. For numbers between 0 and 1, the power of 10 will be negative.
- Moving the decimal and dropping unnecessary zeros converts the number to a form to count significant figures. Trailing zeros after a decimal are always significant.
- Examples are provided to demonstrate
How Barcodes Can Be Leveraged Within Odoo 17Celine George
In this presentation, we will explore how barcodes can be leveraged within Odoo 17 to streamline our manufacturing processes. We will cover the configuration steps, how to utilize barcodes in different manufacturing scenarios, and the overall benefits of implementing this technology.
Chapter wise All Notes of First year Basic Civil Engineering.pptxDenish Jangid
Chapter wise All Notes of First year Basic Civil Engineering
Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
Gender and Mental Health - Counselling and Family Therapy Applications and In...PsychoTech Services
A proprietary approach developed by bringing together the best of learning theories from Psychology, design principles from the world of visualization, and pedagogical methods from over a decade of training experience, that enables you to: Learn better, faster!
A Visual Guide to 1 Samuel | A Tale of Two HeartsSteve Thomason
These slides walk through the story of 1 Samuel. Samuel is the last judge of Israel. The people reject God and want a king. Saul is anointed as the first king, but he is not a good king. David, the shepherd boy is anointed and Saul is envious of him. David shows honor while Saul continues to self destruct.
Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...TechSoup
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THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...indexPub
The recent surge in pro-Palestine student activism has prompted significant responses from universities, ranging from negotiations and divestment commitments to increased transparency about investments in companies supporting the war on Gaza. This activism has led to the cessation of student encampments but also highlighted the substantial sacrifices made by students, including academic disruptions and personal risks. The primary drivers of these protests are poor university administration, lack of transparency, and inadequate communication between officials and students. This study examines the profound emotional, psychological, and professional impacts on students engaged in pro-Palestine protests, focusing on Generation Z's (Gen-Z) activism dynamics. This paper explores the significant sacrifices made by these students and even the professors supporting the pro-Palestine movement, with a focus on recent global movements. Through an in-depth analysis of printed and electronic media, the study examines the impacts of these sacrifices on the academic and personal lives of those involved. The paper highlights examples from various universities, demonstrating student activism's long-term and short-term effects, including disciplinary actions, social backlash, and career implications. The researchers also explore the broader implications of student sacrifices. The findings reveal that these sacrifices are driven by a profound commitment to justice and human rights, and are influenced by the increasing availability of information, peer interactions, and personal convictions. The study also discusses the broader implications of this activism, comparing it to historical precedents and assessing its potential to influence policy and public opinion. The emotional and psychological toll on student activists is significant, but their sense of purpose and community support mitigates some of these challenges. However, the researchers call for acknowledging the broader Impact of these sacrifices on the future global movement of FreePalestine.
Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.pptHenry Hollis
The History of NZ 1870-1900.
Making of a Nation.
From the NZ Wars to Liberals,
Richard Seddon, George Grey,
Social Laboratory, New Zealand,
Confiscations, Kotahitanga, Kingitanga, Parliament, Suffrage, Repudiation, Economic Change, Agriculture, Gold Mining, Timber, Flax, Sheep, Dairying,
Leveraging Generative AI to Drive Nonprofit InnovationTechSoup
In this webinar, participants learned how to utilize Generative AI to streamline operations and elevate member engagement. Amazon Web Service experts provided a customer specific use cases and dived into low/no-code tools that are quick and easy to deploy through Amazon Web Service (AWS.)
2. Step 1 - Work out the operations on the variable letter
Step 2 - Put operations into BODMAS or PEMDAS order
Step 3 - Work out what the Opposite Operations are
Step 4- Put Opposites into SAMDOB or SADMEP order
Step 5- Apply Opposites one by one to the equation
Step 6 - Simplify the final answer
3. There is a set order we must do Math Ops in:
Brackets ( ) Parenthesis
Other Things X2 Exponents
Division / or Multiplication
Multiplication X or Division
Addition + Addition
Subtraction Subtraction
5. 2N + 5 = 11
1) Operations: + 5 and x 2
2) BODMAS or PEMDAS is x 2 then + 5
3) Opposite Operations are / 2 and – 5
4) SAMDOB or SADMEP order is -5 then /2
5) Apply Opposites one by one to both sides of
the equation. (Shown on the next slide).
6. From Step 4) SAMDOB or SADMEP order is - 5 then /2
2N + 5 = 11
-5 -5
2N = 6
2N = 6
2 2
N =3
7. 2N + 5 = 11
Using Reversing Steps our answer was N = 3
Substitute N = 3 into the original equation and
check that it works.
2N + 5 = 11 (Sub N = 3)
2 x 3 + 5 = 11
6 + 5 = 11
11 = 11
Left Side = Right Side N = 3 must be correct.
8. Fill in the missing blanks in the steps below
3k - 2 = 10
1) Operations: - __ and x ___
2) BODMAS or PEMDAS is x ___ then - ___
3) Opposite Operations are / ___ and + ___
4) SAMDOB or SADMEP order is + 2 then / 3
5) Apply Opposites one by one to both sides of the
equation. (Shown on the next slide).
9. From Step 4) SAMDOB or SADMEP order is + 2 then /3
3k - 2 = 10
+2 +2
3k = 12
3k = 12
3 3
k =4
10. Fill in the missing blanks in the steps below
n/5 + 2 = 6
1) Operations: __ __ and __ ___
2) BODMAS or PEMDAS is __ ___ then __ ___
3) Opposite Operations are x ___ and - ___
4) SAMDOB or SADMEP order is - 2 then x 5
5) Apply Opposites one by one to both sides of the
equation. (Shown on the next slide).
11. From Step 4) SAMDOB or SADMEP order is - 2 then x 5
n/5 + 2 = 6
-2 -2
n/5 = 4 (Now multiply by 5)
nx5 = 4x5
5
n = 20
12. Fill in the missing blanks in the steps below
2(a-3) = 8
1) Operations: ( - __ ) and x ___
2) BODMAS or PEMDAS is (- ___) then x ___
3) Opposite Operations are (+ ___) and / ___
4) SAMDOB or SADMEP order is /2 then (+ 3)
5) Apply Opposites one by one to both sides of the
equation. (Shown on the next slide).
13. From Step 4) SAMDOB or SADMEP order is / 2 then (+3)
2(a-3) = 8 ( First divide by 2)
2(a-3) = 8
2 2
(a-3) = 4 (Now add 3 both sides)
(a-3 + 3) = 4 + 3
a =7