This document provides an overview of software testing fundamentals. It discusses why testing is necessary, defines common testing terms, and outlines seven fundamental testing principles. It also describes the typical phases of the fundamental test process, including test planning, analysis and design, implementation and execution, evaluation, and closure activities. Finally, it discusses the psychology of testing and levels of independence in test design.
The document summarizes the events and ceremonies of the Easter Tridium, which includes Holy Thursday, Good Friday, Holy Saturday and Easter Sunday. It describes the Last Supper on Holy Thursday and foot washing ceremony. It explains that Good Friday is a day of fasting and commemorating Jesus' crucifixion. Masses are held with bare altars on Holy Thursday and Good Friday. Easter Sunday mass includes lighting of the Paschal candle to represent Jesus guiding believers.
The six step quick start guide provides instructions to get started with the ActiveHelper LiveHelp system on Drupal:
1. Install the ActiveHelper LiveHelp Server module
2. Configure the domain by adding it
3. Configure an agent by adding them
4. Deploy the tracking block by installing or generating the JavaScript code
5. Get the agent access info from their client info to login to the Support Panel Console software
6. Start tracking domains by enabling it in the Support Panel Console
The document discusses order of operations and provides examples of solving expressions and equations using the proper order of operations. It also includes two word problems, one about predicting population decrease over time using an exponential function, and another about money added to a bank account each week.
1) The document provides examples of writing equations of lines in slope-intercept form that are parallel or perpendicular to given lines and pass through given points.
2) The examples show finding the slope of the given line, determining if the required line is parallel or perpendicular, setting up the equation in slope-intercept form using the appropriate slope, and solving for the y-intercept.
3) Common steps are finding the original slope, calculating the parallel or perpendicular slope, and substituting points into the line equation to solve for the y-intercept.
Livehelp server user guide for wordpressActiveHelper
The document outlines the 4-step process for configuring a LiveHelp server, including 1) configuring domains, 2) adding and managing agents, 3) configuring tracking widgets, and 4) agents signing in using the Support Panel desktop or mobile app to go online. Key steps include adding domains and agents, generating widgets or scripts, and agents signing in through the Support Panel to change their status to online and begin receiving chats.
This document provides an overview of software testing fundamentals. It discusses why testing is necessary, defines common testing terms, and outlines seven fundamental testing principles. It also describes the typical phases of the fundamental test process, including test planning, analysis and design, implementation and execution, evaluation, and closure activities. Finally, it discusses the psychology of testing and levels of independence in test design.
The document summarizes the events and ceremonies of the Easter Tridium, which includes Holy Thursday, Good Friday, Holy Saturday and Easter Sunday. It describes the Last Supper on Holy Thursday and foot washing ceremony. It explains that Good Friday is a day of fasting and commemorating Jesus' crucifixion. Masses are held with bare altars on Holy Thursday and Good Friday. Easter Sunday mass includes lighting of the Paschal candle to represent Jesus guiding believers.
The six step quick start guide provides instructions to get started with the ActiveHelper LiveHelp system on Drupal:
1. Install the ActiveHelper LiveHelp Server module
2. Configure the domain by adding it
3. Configure an agent by adding them
4. Deploy the tracking block by installing or generating the JavaScript code
5. Get the agent access info from their client info to login to the Support Panel Console software
6. Start tracking domains by enabling it in the Support Panel Console
The document discusses order of operations and provides examples of solving expressions and equations using the proper order of operations. It also includes two word problems, one about predicting population decrease over time using an exponential function, and another about money added to a bank account each week.
1) The document provides examples of writing equations of lines in slope-intercept form that are parallel or perpendicular to given lines and pass through given points.
2) The examples show finding the slope of the given line, determining if the required line is parallel or perpendicular, setting up the equation in slope-intercept form using the appropriate slope, and solving for the y-intercept.
3) Common steps are finding the original slope, calculating the parallel or perpendicular slope, and substituting points into the line equation to solve for the y-intercept.
Livehelp server user guide for wordpressActiveHelper
The document outlines the 4-step process for configuring a LiveHelp server, including 1) configuring domains, 2) adding and managing agents, 3) configuring tracking widgets, and 4) agents signing in using the Support Panel desktop or mobile app to go online. Key steps include adding domains and agents, generating widgets or scripts, and agents signing in through the Support Panel to change their status to online and begin receiving chats.
The document introduces concepts related to the coordinate plane, including the x-axis, y-axis, origin, quadrants, ordered pairs, and graphing points. It explains that the x-axis is horizontal, the y-axis is vertical, and the origin is at the center point (0,0). Points can fall into four quadrants depending on whether their x and y values are positive or negative. An example point (-5,3) is shown to lie in Quadrant II. The coordinates of two points A and B are given as (-5,-7) and (7,-2).
Icomplete phone call archive (mobile and landlines) - e brochuremyleshantler
The document summarizes a mobile call recording solution that allows users to record calls from any mobile device without plugins. It records calls and SMS messages and stores them in a secure cloud archive or on-premise appliance. The solution is easy to deploy, provides clear call histories and search functions, and complies with financial industry regulations on recording mobile calls. It also allows dual-mode calling from a mobile or computer. Pricing starts at £199 per month for cloud storage or £399 for an on-site appliance.
This document defines and provides examples of allegory in poetry. It states that an allegory is a narrative that can be interpreted at two levels, with hidden meanings beneath the surface story. Examples given include Edmund Spenser's "The Faerie Queene", John Bunyan's "Pilgrim's Progress", and Nathaniel Hawthorne's "Young Goodman Brown". It also shares a quote from Spenser's "The Faerie Queene" that describes the poem addressing both knights' deeds and ladies' gentle deeds through song.
The Ministry of Basic Education (MINEDUB) ordered a diagnostic study on the organization and functioning of collegeswithin the framework of the G.T.T.C. reform process. The study carried out by Mrs. Marguerite Altet, a CIEP (French Centre for Educational Research) expert, and published in 2011, highlights numerous pedagogic gaps, namely:
- The absence of a sound curriculum, given that syllabuses are presented as a list of contents with 26 disciplines;
- The one-year course duration for GCE A/Lstudent-teachers is inadequate;
- The heterogeneous academic entry qualification of student-teachersleads to some shortcomings on
the part ofGCE O/L student-teachers at the end of the course;
- The lack of a synchronized programming of pedagogic activities (practicum and evaluation);
- An inadequate training as concernsthe different pedagogic reforms implemented in Basic Education.
From this crucial diagnosis confirmed by MINESEC officials, the Minister of Secondary Education with a view to improve on the quality of teachertraining for our basic educational system, decided to draw up new T.T.C.curricula taking into account the political vision advocated by the Head of State.
2. Characteristics of the curricula reviewed following the Competence-Based Approach
The new T.T.C. curriculum is drawn up following the Competence-Based Approach(CBA)in respect to the methodological requirements of the development of a curriculum. The process started with the writing of a Teacher‟s Referential of Professional Activities with the collaboration of field experts; this enabled designers to identify basic professional competences to be developed during the initial training of a teacher. The basic professional competences were presented in a Referential of Competences used by the editorial team as supporting document to draw up the current curriculum.
Therefore, this document remains a multidisciplinary curriculum which lays emphasis on common abilities otherwise referred to as “cross abilities” while integrating various practical aspects (simulation, practicum, various practical activities, case studies etc.)
The new T.T.C. curricula target the five domains of the contents taken from the former syllabuses. These domains are:
-Bilingual training;
-Didactics of Primary and Nursery school activities;
-Sciences of Education;
-Educational Technologies;
-Reinforced alternated practicum(teaching practice…)
The training content is the same for the three levels but its dosage takesinto consideration the entry qualification of student-teachers.
School Health Progam - www.planmyhealth.inPlan My Health
Plan My Health India Leading School Health Plan COmpany Deliver HGneral , Dental , Eye Check , Diet assessment , Psychological Counseling for entire family
This document provides examples of writing equations of linear functions in slope-intercept form. It demonstrates finding the slope from two points, using the slope and a point to write the equation in point-slope form, writing equations for horizontal and vertical lines, writing equations from tables of values, and solving linear equations for y.
This document provides an overview of software testing fundamentals. It discusses why testing is necessary, defines common testing terms, and outlines seven fundamental testing principles. It also describes the typical phases of the fundamental test process, including test planning, analysis and design, implementation and execution, evaluation, and closure activities. Finally, it discusses the psychology of testing and levels of independence in test design.
Meteorologists use various data sources to predict the weather, but it is difficult to always be correct due to rapidly changing atmospheric conditions. Data comes from surface weather stations, weather balloons, satellites, radars, and computer models. Air masses and fronts influence weather by interacting and creating storms. Hurricanes form over warm ocean waters and require specific atmospheric ingredients. While high and low pressure systems impact weather, small changes in data can lead to different model predictions, making weather forecasting challenging.
1. There are three main methods of heat transfer: conduction, convection, and radiation.
2. The Earth is heated through radiation from the sun, with some energy being absorbed, some reflected, and some transmitted through substances like water and air.
3. Factors like land/water distribution, altitude, latitude, and cloud cover contribute to geographic and climatic differences in surface temperatures around the world.
Air pressure is exerted equally in all directions by the air around us. It can be measured using a barometer, with units of mmHg or atm. Rapid changes in air pressure often indicate approaching weather systems - falling pressure means storms while rising pressure means clearing weather. Winds are created by differences in air pressure between areas. Global wind patterns are caused by uneven heating of the Earth, with the hottest air at the equator rising and causing circulation of air masses. High and low pressure systems form based on temperature and moisture levels, influencing wind direction.
1. There are three main methods of heat transfer: conduction, convection, and radiation.
2. The Earth is heated through radiation from the sun, with some energy being absorbed, some reflected, and some transmitted through substances like water and air.
3. Temperatures vary based on factors like proximity to water vs. land, altitude, latitude, and cloud cover, with land experiencing greater temperature ranges than water and higher latitudes being cooler on average.
Air pressure is exerted equally in all directions by the air around us. It can be measured using a barometer, with units of mmHg or atm. Rapid changes in air pressure often indicate approaching weather systems - falling pressure means storms while rising pressure means clearing weather. Winds are created by differences in air pressure between areas. Global wind patterns are caused by uneven heating of the Earth, with the hottest air at the equator rising and causing circulation of air masses. High and low pressure systems form based on temperature and moisture levels, influencing wind direction.
The document provides 20 math word problems that require solving equations for a variable. It works through each problem step-by-step showing the work and reasoning to isolate the variable. Common steps include distributing terms, combining like terms, adding/subtracting the same quantity to both sides of the equation, and dividing/multiplying both sides by the same non-zero quantity. The final problems involve multiple steps to solve more complex equations.
The atmosphere is divided into four main layers - the troposphere, stratosphere, mesosphere, and thermosphere. Each layer is defined by changes in temperature. The troposphere extends from Earth's surface to around 12 km and contains around 90% of the atmosphere. The stratosphere extends from 12-50 km and contains the ozone layer which absorbs harmful UV radiation. Air is composed primarily of nitrogen (78%) and oxygen (21%).
The document introduces concepts related to the coordinate plane, including the x-axis, y-axis, origin, quadrants, ordered pairs, and graphing points. It explains that the x-axis is horizontal, the y-axis is vertical, and the origin is at the center point (0,0). Points can fall into four quadrants depending on whether their x and y values are positive or negative. An example point (-5,3) is shown to lie in Quadrant II. The coordinates of two points A and B are given as (-5,-7) and (7,-2).
Icomplete phone call archive (mobile and landlines) - e brochuremyleshantler
The document summarizes a mobile call recording solution that allows users to record calls from any mobile device without plugins. It records calls and SMS messages and stores them in a secure cloud archive or on-premise appliance. The solution is easy to deploy, provides clear call histories and search functions, and complies with financial industry regulations on recording mobile calls. It also allows dual-mode calling from a mobile or computer. Pricing starts at £199 per month for cloud storage or £399 for an on-site appliance.
This document defines and provides examples of allegory in poetry. It states that an allegory is a narrative that can be interpreted at two levels, with hidden meanings beneath the surface story. Examples given include Edmund Spenser's "The Faerie Queene", John Bunyan's "Pilgrim's Progress", and Nathaniel Hawthorne's "Young Goodman Brown". It also shares a quote from Spenser's "The Faerie Queene" that describes the poem addressing both knights' deeds and ladies' gentle deeds through song.
The Ministry of Basic Education (MINEDUB) ordered a diagnostic study on the organization and functioning of collegeswithin the framework of the G.T.T.C. reform process. The study carried out by Mrs. Marguerite Altet, a CIEP (French Centre for Educational Research) expert, and published in 2011, highlights numerous pedagogic gaps, namely:
- The absence of a sound curriculum, given that syllabuses are presented as a list of contents with 26 disciplines;
- The one-year course duration for GCE A/Lstudent-teachers is inadequate;
- The heterogeneous academic entry qualification of student-teachersleads to some shortcomings on
the part ofGCE O/L student-teachers at the end of the course;
- The lack of a synchronized programming of pedagogic activities (practicum and evaluation);
- An inadequate training as concernsthe different pedagogic reforms implemented in Basic Education.
From this crucial diagnosis confirmed by MINESEC officials, the Minister of Secondary Education with a view to improve on the quality of teachertraining for our basic educational system, decided to draw up new T.T.C.curricula taking into account the political vision advocated by the Head of State.
2. Characteristics of the curricula reviewed following the Competence-Based Approach
The new T.T.C. curriculum is drawn up following the Competence-Based Approach(CBA)in respect to the methodological requirements of the development of a curriculum. The process started with the writing of a Teacher‟s Referential of Professional Activities with the collaboration of field experts; this enabled designers to identify basic professional competences to be developed during the initial training of a teacher. The basic professional competences were presented in a Referential of Competences used by the editorial team as supporting document to draw up the current curriculum.
Therefore, this document remains a multidisciplinary curriculum which lays emphasis on common abilities otherwise referred to as “cross abilities” while integrating various practical aspects (simulation, practicum, various practical activities, case studies etc.)
The new T.T.C. curricula target the five domains of the contents taken from the former syllabuses. These domains are:
-Bilingual training;
-Didactics of Primary and Nursery school activities;
-Sciences of Education;
-Educational Technologies;
-Reinforced alternated practicum(teaching practice…)
The training content is the same for the three levels but its dosage takesinto consideration the entry qualification of student-teachers.
School Health Progam - www.planmyhealth.inPlan My Health
Plan My Health India Leading School Health Plan COmpany Deliver HGneral , Dental , Eye Check , Diet assessment , Psychological Counseling for entire family
This document provides examples of writing equations of linear functions in slope-intercept form. It demonstrates finding the slope from two points, using the slope and a point to write the equation in point-slope form, writing equations for horizontal and vertical lines, writing equations from tables of values, and solving linear equations for y.
This document provides an overview of software testing fundamentals. It discusses why testing is necessary, defines common testing terms, and outlines seven fundamental testing principles. It also describes the typical phases of the fundamental test process, including test planning, analysis and design, implementation and execution, evaluation, and closure activities. Finally, it discusses the psychology of testing and levels of independence in test design.
Meteorologists use various data sources to predict the weather, but it is difficult to always be correct due to rapidly changing atmospheric conditions. Data comes from surface weather stations, weather balloons, satellites, radars, and computer models. Air masses and fronts influence weather by interacting and creating storms. Hurricanes form over warm ocean waters and require specific atmospheric ingredients. While high and low pressure systems impact weather, small changes in data can lead to different model predictions, making weather forecasting challenging.
1. There are three main methods of heat transfer: conduction, convection, and radiation.
2. The Earth is heated through radiation from the sun, with some energy being absorbed, some reflected, and some transmitted through substances like water and air.
3. Factors like land/water distribution, altitude, latitude, and cloud cover contribute to geographic and climatic differences in surface temperatures around the world.
Air pressure is exerted equally in all directions by the air around us. It can be measured using a barometer, with units of mmHg or atm. Rapid changes in air pressure often indicate approaching weather systems - falling pressure means storms while rising pressure means clearing weather. Winds are created by differences in air pressure between areas. Global wind patterns are caused by uneven heating of the Earth, with the hottest air at the equator rising and causing circulation of air masses. High and low pressure systems form based on temperature and moisture levels, influencing wind direction.
1. There are three main methods of heat transfer: conduction, convection, and radiation.
2. The Earth is heated through radiation from the sun, with some energy being absorbed, some reflected, and some transmitted through substances like water and air.
3. Temperatures vary based on factors like proximity to water vs. land, altitude, latitude, and cloud cover, with land experiencing greater temperature ranges than water and higher latitudes being cooler on average.
Air pressure is exerted equally in all directions by the air around us. It can be measured using a barometer, with units of mmHg or atm. Rapid changes in air pressure often indicate approaching weather systems - falling pressure means storms while rising pressure means clearing weather. Winds are created by differences in air pressure between areas. Global wind patterns are caused by uneven heating of the Earth, with the hottest air at the equator rising and causing circulation of air masses. High and low pressure systems form based on temperature and moisture levels, influencing wind direction.
The document provides 20 math word problems that require solving equations for a variable. It works through each problem step-by-step showing the work and reasoning to isolate the variable. Common steps include distributing terms, combining like terms, adding/subtracting the same quantity to both sides of the equation, and dividing/multiplying both sides by the same non-zero quantity. The final problems involve multiple steps to solve more complex equations.
The atmosphere is divided into four main layers - the troposphere, stratosphere, mesosphere, and thermosphere. Each layer is defined by changes in temperature. The troposphere extends from Earth's surface to around 12 km and contains around 90% of the atmosphere. The stratosphere extends from 12-50 km and contains the ozone layer which absorbs harmful UV radiation. Air is composed primarily of nitrogen (78%) and oxygen (21%).
Maps have evolved over time to become more accurate representations of the world. Early maps from 4000 BC showed where people lived and tax boundaries, while Ptolemy created the first world map in 150 AD using Greek and Roman cartography. In the Middle Ages, maps reflected cultural beliefs and guided pilgrims. Modern technology like GPS and GIS has led to highly accurate digital maps through satellite imagery and data analysis.
This document provides an overview of current environmental issues facing the Earth. It discusses how human population growth and industrialization have negatively impacted the environment through increased consumption of non-renewable resources, pollution, and loss of biodiversity. As human societies developed from hunter-gatherers to agricultural to industrial, their demands on the environment expanded and dependence on fossil fuels rose, resulting in problems like pollution and depletion of resources. The core issues discussed are overconsumption, pollution, and biodiversity loss due to rising human populations. The document also introduces the concept of sustainability and the goal of creating a sustainable society that does not exceed the Earth's limits.
The document discusses water resources and water treatment. It explains that most of Earth's water is ocean water, while freshwater comes from surface water, groundwater, and the water cycle. It then describes how surface water forms rivers and lakes, groundwater forms aquifers, and how water is used residentially, industrially, and agriculturally. Issues like overdraft and habitat degradation are discussed, along with water treatment processes like desalination, purification through screening, sedimentation, filtration, aeration, and sterilization.
The document summarizes different types of telescopes and space probes used to explore the universe, and some of their key contributions. It discusses radio, infrared, visible light, ultraviolet, X-ray, and gamma ray telescopes, as well as notable space telescopes like Hubble and the upcoming James Webb Space Telescope. It also outlines various space probes sent to study planets, moons, comets and more, providing images to advance scientists' understanding of the solar system. Finally, it lists some technologies that were developed for space exploration but later found applications on Earth.
1. Stars form from dense clouds of gas and dust called nebulae when gravity overcomes pressure, causing the cloud to collapse and heat up. Nuclear fusion then begins, forming a star.
2. Stars exist in different stages depending on their mass. Medium stars become red giants then white dwarfs. Massive stars explode as supernovae, leaving neutron stars or black holes.
3. Astronomers use tools like spectroscopy, star charts, and parallax to determine properties of stars like composition, temperature, brightness, and distance. This helps classify stars and map their life cycles.
The document discusses planetary motion and the movement of celestial bodies. It describes how early astronomers like Ptolemy, Copernicus, and Kepler developed models of the solar system. Johannes Kepler developed his three laws of planetary motion, establishing that planets orbit the sun in ellipses. Isaac Newton later explained that gravity is the force that causes planets to orbit the sun. The document also discusses the Earth's rotation, revolution, and axial tilt, which cause seasons. It describes the moon's orbit and how its phases, tides, and eclipses occur due to the positions of the Earth, moon, and sun.
The document summarizes theories about the formation and evolution of the universe:
1) The Big Bang theory proposes that approximately 13.8 billion years ago, all matter in the observable universe was condensed into an incredibly dense singularity that suddenly exploded, causing the universe to expand rapidly and form light elements.
2) As the universe expanded, gravity caused matter to condense into the first stars and galaxies. Observations of redshifts in light from distant galaxies provide evidence the universe continues expanding today.
3) Current theories suggest three possible ultimate fates for the universe depending on its overall density - continued expansion, eventual contraction, or a stable flat state.
Chapter 18 – air pollution and global changesAnnie cox
This document discusses various types of air pollution and their local and global effects. It describes how local pollution from activities like burning fossil fuels can cause issues worldwide through mechanisms like acid rain, ozone depletion, and global warming. Five major types of outdoor air pollutants are discussed - particulates, oxides, photochemical smog, hydrocarbons, and CFCs. The document also notes how air pollution affects human health, other organisms, and causes global problems through acid deposition, ozone layer thinning, and climate change due to increased greenhouse gases.
Meteorologists use various data sources to predict the weather, but it is difficult to always be correct due to rapidly changing atmospheric conditions. Data comes from surface weather stations, weather balloons, satellites, radars, and computer models. Air masses and fronts influence weather, and storms form when different air masses meet. Hurricanes require specific conditions like warm ocean water. While meteorology studies the atmosphere, tiny differences in data can lead to different model results, so multiple models are used to predict daily weather.
1. The document discusses the four layers of Earth's atmosphere and how factors like temperature, pressure, wind, and moisture interact to cause weather.
2. It explains that the lowest layer, the troposphere, contains almost all of the atmosphere's mass and water and is where weather occurs.
3. The stratosphere contains the protective ozone layer. The thermosphere is where satellites orbit and temperatures can reach 2000 degrees Celsius.
4. Weather results from interactions of heat, air pressure, wind, and moisture. Unequal heating causes pressure differences that create wind, and wind circulations around the globe.
The document discusses various types of water pollution including chemical, thermal, radioactive, sediments, and sewage. The largest sources of water pollution are agricultural runoff and sewage. Developing countries often lack proper sewage treatment facilities. Water pollution has been an issue for centuries but legislation and enforcement have been weak, allowing the problem to continue. The top source of water pollution in North Carolina is stormwater runoff carrying various pollutants. Solutions include limiting development near waterways and preserving wetlands to naturally filter water.
The document discusses water resources and water treatment. It explains that most of Earth's water is ocean water, while freshwater comes from surface water, groundwater, and the water cycle. It then describes how surface water flows in rivers and collects in lakes and reservoirs, and how groundwater flows through permeable rock layers and can be accessed through wells. The document also outlines water use for residential, industrial, and agricultural purposes, as well as problems like overdraft and habitat degradation. It concludes by explaining processes for desalination and water purification to remove salts and contaminants, making water safe for drinking.
The document summarizes how oceans shape our lives by discussing the distribution of water on Earth, properties of ocean water, ocean motions, shoreline formations, and the barrier islands of North Carolina's Outer Banks. It explains that barrier islands formed due to rising sea levels, a large sand supply, a gently sloping coast, and wave energy. Humans are increasing the rate of barrier island migration through armoring and development, which reduces available sand and increases erosion risks. Ultimately, one cannot have buildings and beaches in the long run due to the dynamic coastal environment.
Double-sided equations can be solved by doing the same operation to both sides of the equals sign. This keeps the equation balanced. Terms should be combined so that variables are grouped together on one side and constants on the other. When a term crosses the equals sign to the other side, its sign changes. By following these steps, variables can be isolated so the equation can be solved.
2. Solving Quadratic Equations when they
do NOT equal ZERO
• So far all the quadratic equations we’ve solve have
been equal to zero but not all are so nice. If they
don’t equal zero, make them equal to zero!
• View this Cool Math website to how to solve
Quadratic Equations when the original equation is
not equal to 0.
• There are 3 pages to view.
• Complete the Your Turn problems in your notebook
and check your answers on the next slide.
41. Page 3 - Your Turn
• Solve. −16x = −4x 3
+4x 3 +4x 3
4x − 16x = 0
3
(
4x x − 4 = 0
2
)
4x ( x + 2 ) ( x − 2 ) = 0
4x = 0 or x+2=0 or x−2=0
42. Page 3 - Your Turn
• Solve. −16x = −4x 3
+4x 3 +4x 3
4x − 16x = 0
3
(
4x x − 4 = 0
2
)
4x ( x + 2 ) ( x − 2 ) = 0
4x = 0 or x+2=0 or x−2=0
4 4 −2 −2 +2 +2
43. Page 3 - Your Turn
• Solve. −16x = −4x 3
+4x 3 +4x 3
4x − 16x = 0
3
(
4x x − 4 = 0
2
)
4x ( x + 2 ) ( x − 2 ) = 0
4x = 0 or x+2=0 or x−2=0
4 4 −2 −2 +2 +2
x=0 or x = −2 or x=2
44. Page 3 - Your Turn
• Solve. −16x = −4x 3
+4x 3 +4x 3
4x − 16x = 0
3
(
4x x − 4 = 0
2
)
4x ( x + 2 ) ( x − 2 ) = 0
4x = 0 or x+2=0 or x−2=0
4 4 −2 −2 +2 +2
x=0 or x = −2 or x=2
Answer: {0, −2, 2}
45. Do you want to Play a GAME?
• Check your knowledge on solving Quadratic
Equations by playing Jeopardy. Ok, technically it’s
called Challenge Board but it’s the same idea!
• You have the option to play alone or against a
friend or maybe a family member!
• You could even arrange a time with a classmate to
meet on Pronto to play. Try the App Share feature
to see the same game board!
• Finding the x-intercepts is the same as solving!
46. Fantastic Job!
• You’ve finished reviewing Solving Quadratic
Equations Part 2.
• Exit and proceed
to the Mastery
Assignment.