Solving multiplication and division equations power point
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Solving equations with multiplication and division web
The document provides instruction on solving one-step and two-step equations with integers. It includes examples of solving equations using properties of equality and the order of operations. Students are guided through solving equations by combining like terms, then undoing addition/subtraction and multiplication/division to isolate the variable. The document emphasizes key concepts and steps for solving different types of equations.
Tutorial
This tutorial teaches how to solve multi-step equations with one variable. It defines key terms like variable, equation, coefficient, constant, and inverse operation. It then walks through an example of solving the equation 2x + 7 = 15 in 3 steps: 1) subtracting 7 from both sides to eliminate the constant, 2) dividing both sides by 2 to isolate the variable x, and 3) determining that x = 4. The tutorial concludes with a quiz to test the learner's understanding of these concepts.
5-12 Solving Multiplication and Division Equations
This document provides examples for solving equations by getting the variable alone using multiplication or division. It explains that to get the variable alone, you can multiply or divide both sides of the equation by the same number. Several examples are worked through step-by-step showing multiplying or dividing both sides to isolate the variable, then solving for its value. The goal is to demonstrate how to use properties of equality to solve equations algebraically.
One stepeqns1
This document outlines the steps for solving a one-step equation. It states that the slide show will demonstrate how to solve such equations by walking through the process. The document and slide show focus on providing the solution and steps for a one-step equation.
Solving one step equations (workshop 1)
This document provides an overview of solving one-step equations through addition, subtraction, multiplication, and division. It explains that the goal is to isolate the variable by using the inverse operation. For addition, subtract the number from both sides. For subtraction, add the number to both sides. For multiplication, divide both sides by the number. And for division, multiply both sides by the number. It concludes by instructing the reader to practice these concepts by working through examples with a partner.
Solving One-Step Equations
One-step equations can be solved in 3 steps:
1) Isolate the variable by undoing the operation on one side of the equation. To undo addition, subtract. To undo subtraction, add. To undo multiplication, divide. To undo division, multiply.
2) Apply the inverse operation to both sides of the equation to keep it balanced.
3) Solve for the variable and write it equal to a number.
Tutorials--Solving One-Step Equations
This document provides 32 examples of solving one-step equations involving addition, subtraction, multiplication, and division. The examples cover equations with integer and decimal values where the unknown variable x is being solved for. Each example works through solving a different type of one-step equation, with the full set of examples addressing equations of the basic forms x ± a = b, a × x = b, and x ÷ a = b.
one step equations
The document discusses solving one-step equations. It explains that an equation shows two quantities as equal and any operation on one side must be done to the other. To solve one-step equations, you identify the variable, operation on the variable, and the inverse operation. It provides examples of solving equations by addition, subtraction, multiplication, and division.
Recommended
Solving equations with multiplication and division web
The document provides instruction on solving one-step and two-step equations with integers. It includes examples of solving equations using properties of equality and the order of operations. Students are guided through solving equations by combining like terms, then undoing addition/subtraction and multiplication/division to isolate the variable. The document emphasizes key concepts and steps for solving different types of equations.
Tutorial
This tutorial teaches how to solve multi-step equations with one variable. It defines key terms like variable, equation, coefficient, constant, and inverse operation. It then walks through an example of solving the equation 2x + 7 = 15 in 3 steps: 1) subtracting 7 from both sides to eliminate the constant, 2) dividing both sides by 2 to isolate the variable x, and 3) determining that x = 4. The tutorial concludes with a quiz to test the learner's understanding of these concepts.
5-12 Solving Multiplication and Division Equations
This document provides examples for solving equations by getting the variable alone using multiplication or division. It explains that to get the variable alone, you can multiply or divide both sides of the equation by the same number. Several examples are worked through step-by-step showing multiplying or dividing both sides to isolate the variable, then solving for its value. The goal is to demonstrate how to use properties of equality to solve equations algebraically.
One stepeqns1
This document outlines the steps for solving a one-step equation. It states that the slide show will demonstrate how to solve such equations by walking through the process. The document and slide show focus on providing the solution and steps for a one-step equation.
Solving one step equations (workshop 1)
This document provides an overview of solving one-step equations through addition, subtraction, multiplication, and division. It explains that the goal is to isolate the variable by using the inverse operation. For addition, subtract the number from both sides. For subtraction, add the number to both sides. For multiplication, divide both sides by the number. And for division, multiply both sides by the number. It concludes by instructing the reader to practice these concepts by working through examples with a partner.
Solving One-Step Equations
One-step equations can be solved in 3 steps:
1) Isolate the variable by undoing the operation on one side of the equation. To undo addition, subtract. To undo subtraction, add. To undo multiplication, divide. To undo division, multiply.
2) Apply the inverse operation to both sides of the equation to keep it balanced.
3) Solve for the variable and write it equal to a number.
Tutorials--Solving One-Step Equations
This document provides 32 examples of solving one-step equations involving addition, subtraction, multiplication, and division. The examples cover equations with integer and decimal values where the unknown variable x is being solved for. Each example works through solving a different type of one-step equation, with the full set of examples addressing equations of the basic forms x ± a = b, a × x = b, and x ÷ a = b.
one step equations
The document discusses solving one-step equations. It explains that an equation shows two quantities as equal and any operation on one side must be done to the other. To solve one-step equations, you identify the variable, operation on the variable, and the inverse operation. It provides examples of solving equations by addition, subtraction, multiplication, and division.
Solving algebraic eqn
This document is a lesson on solving fraction equations by multiplying and dividing fractions. It includes examples of solving equations such as 3x = 2/3 by multiplying both sides by the reciprocal. It also includes a word problem example where Dexter used 12 cups of powdered milk, which was 2/3 of the recipe amount, to solve for the total cups in the recipe. The document provides step-by-step work and explanations for setting up and solving these fraction equations.
Solving One Step Equations
The document provides examples of solving simple equations with addition or subtraction. It shows 6 equations where the variable is isolated on one side by adding or subtracting the same number to both sides. The equations are solved by performing the inverse operations, and the answer is provided along with the word "DONE!" after each one. The document demonstrates how to solve for an unknown variable by using addition or subtraction properties.
Heron’s formula
Heron's formula provides a way to calculate the area of a triangle using only the lengths of its three sides. It was developed by the ancient Greek mathematician Heron of Alexandria around 60 AD. The formula was an important advancement as it allowed calculating the area of triangles without knowing the height. Over time, the formula has been expressed in different but equivalent ways and was independently discovered by Chinese mathematicians centuries later. Proving the formula rigorously requires advanced mathematical techniques unavailable in Heron's time. Today it remains a useful tool for solving geometry problems involving triangles.
Solving One Step Equations
The document provides information about solving one-step equations through addition, subtraction, multiplication, and division. It explains that when solving an equation, the goal is to isolate the variable by applying the inverse operation to both sides of the equation to maintain the balance. Several examples are worked through, demonstrating how to solve equations involving addition, subtraction, multiplication, and division. Word problems involving one-step equations are also introduced and it is explained how to set them up and solve for the unknown variable.
Perimeter and area
Perimeter is the distance around the outside of a shape, while area is the number of square units that fit inside the shape. The perimeter of a rectangle is calculated as 2 * length + 2 * width, while the area is calculated as length * width. Perimeter represents how much material is needed to go around a shape, like fencing for a farm, while area represents how much surface is covered inside the shape, like soil inside the farm.
Perimeter and Area Word Problems
Here are the 4 steps:
1. Look for clue words and decide perimeter or area
2. Draw a picture
3. Decide what formula to use
4. Solve
These 4 steps help us solve perimeter and area word problems.
Perimeter & area presentation
This document provides instructions and formulas for calculating the perimeter and area of rectangles and squares. It includes the objectives of finding perimeter and area using formulas, provides the relevant formulas, and includes example perimeter and area word problems to solve. Key information covered includes the definitions of perimeter and area, the perimeter and area formulas for rectangles and squares, and example activities applying the formulas.
Area & Perimeter
The document discusses perimeter and area, defining perimeter as the distance all the way around a figure and area as the number of square units needed to cover a surface. It provides formulas for calculating the perimeter and area of squares and rectangles. The perimeter of a square is calculated as P = 4s and the area as A = s^2. For a rectangle, the perimeter formula is P = 2w + 2l and the area formula is A = lw.
Distributive property in algebra power point
The document discusses the distributive property in algebra. The distributive property allows terms inside parentheses to be distributed so that expressions can be simplified out of order from the standard order of operations. It involves multiplying the number outside of the parentheses by each term inside the parentheses. Examples are provided to demonstrate how to use the distributive property to simplify expressions.
Distributive property examples (with words)
The document provides examples of using the distributive property to break down word problems and number expressions. It shows how to identify a common term or factor in expressions like "firefly + firetruck" and "20 + 30", then use distributive property to write it as the common term distributing over the terms being added or multiplied, like "Fire(fly + truck)" and "10(2 + 3)". Several practice problems are provided to write expressions like "18 + 24" using this method.
Earthquakes revised
Faults form when stresses in the Earth's crust cause rocks to break along fractures. There are three main types of faults: normal faults form when tension pulls rocks apart, reverse faults form when compression squeezes rocks together, and strike-slip faults form when shear forces cause rocks to slide past one another. Most earthquakes occur when built-up stresses are suddenly released as the rocks move along fault surfaces. Earthquake waves travel through the Earth, with P-waves and S-waves causing the ground to shake and damage structures. The resulting shaking can also trigger other hazardous events like tsunamis and liquefaction.
Plate tectonics
The Earth's crust is divided into tectonic plates that are in constant motion due to convection currents in the upper mantle. There are three types of plate boundaries: divergent where plates move apart and new crust is formed, convergent where plates collide and can cause mountain building, and transform where plates slide past each other. Alfred Wegener first proposed the theory of continental drift in 1912, and the modern theory of plate tectonics explains how plate motions and interactions have shaped Earth's surface over geological time through subduction, volcanism, earthquakes and mountain formation.
Minerals and rocks final
The document describes the four main components that make up the Earth system: the atmosphere, hydrosphere, biosphere, and geosphere. It provides details on the composition and key aspects of each component. The atmosphere contains nitrogen and oxygen gases. The hydrosphere contains both saltwater and freshwater. The biosphere includes all living things on Earth. The geosphere is composed of layers within the Earth's crust and mantle.
Decimal review
The document provides 10 multiple choice questions that ask the learner to determine which number has the greatest or least value from a set of decimal numbers. It tests the learner's ability to compare decimal values and identify the greatest and least numbers. An answer key is provided to check the learner's work.
Decimal review
The document provides 10 multiple choice questions that ask the learner to determine which number has the greatest or least value from a set of decimal numbers. It tests the learner's ability to compare decimal values and identify the greatest and least numbers. An answer key is provided to check the learner's work.
Minerals and rocks final
The document describes the four main components that make up the Earth system: the atmosphere, hydrosphere, biosphere, and geosphere. It provides details on the composition and key aspects of each component. The atmosphere contains nitrogen and oxygen gases. The hydrosphere contains both saltwater and freshwater. The biosphere includes all living things on Earth. The geosphere is composed of layers within the Earth's crust and mantle.
Graphing functions
This document provides steps for graphing a function from a function table: 1) Create a function table with input-output pairs, 2) Plot the points on a coordinate plane, 3) Connect the dots to show the linear relationship, 4) Write the function using y=kx notation where k is the constant of proportionality, 5) Describe characteristics of the graph such as if it is increasing, decreasing or staying the same, 6) Extend the graph to find other values of the function.
Bullying day 2
Bullying can take many forms, including verbal, emotional, physical, cyber, and harassment or sexual harassment. Verbal bullying is the most common and involves name-calling and mocking. Emotional bullying isolates victims or embarrasses them through rumors. Physical bullying hurts people physically or damages their property. Cyber bullying uses electronic means like computers or phones to threaten or humiliate others online or through texts. Harassment challenges people to do things against their will or taunts them about attributes like ethnicity. Sexual harassment directs unwanted gestures, rumors, or touching at a person's identity.
Title ix training students perry middle
Title IX protects students from harassment and discrimination in schools. It prohibits discrimination based on sex, including sexual harassment. Schools must have a Title IX coordinator to handle harassment complaints and investigate promptly. Students who experience or witness harassment should report it to a teacher, counselor, or administrator so the school can take steps to resolve the situation and ensure student safety.
Air movement 15.3
Wind is caused by differences in air pressure as air moves from high to low pressure. The Coriolis effect causes winds in the northern hemisphere to turn right and left in the southern hemisphere. There are global wind patterns like the trade winds near the equator and westerlies at higher latitudes that help move weather systems. Jet streams are fast winds near the top of the troposphere that also help transport storms and influence flight. Sea and land breezes occur as air moves between bodies of water and land due to differences in how quickly they heat and cool.
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There are 6 pencils for every box. The total number of pencils is 240. Write an equation to represent how many boxes there are if there are 6 pencils per box and the total pencils is 240.
Layers of the atmosphere
This document provides instructions on how to make a foldable to illustrate the five layers of Earth's atmosphere - troposphere, stratosphere, mesosphere, thermosphere, and exosphere. It includes key details about each layer such as its distance from Earth's surface, distinguishing characteristics, and objects found within that layer. Students are directed to additional resources to obtain information to include on their foldable.
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Solving algebraic eqn
This document is a lesson on solving fraction equations by multiplying and dividing fractions. It includes examples of solving equations such as 3x = 2/3 by multiplying both sides by the reciprocal. It also includes a word problem example where Dexter used 12 cups of powdered milk, which was 2/3 of the recipe amount, to solve for the total cups in the recipe. The document provides step-by-step work and explanations for setting up and solving these fraction equations.
Solving One Step Equations
The document provides examples of solving simple equations with addition or subtraction. It shows 6 equations where the variable is isolated on one side by adding or subtracting the same number to both sides. The equations are solved by performing the inverse operations, and the answer is provided along with the word "DONE!" after each one. The document demonstrates how to solve for an unknown variable by using addition or subtraction properties.
Heron’s formula
Heron's formula provides a way to calculate the area of a triangle using only the lengths of its three sides. It was developed by the ancient Greek mathematician Heron of Alexandria around 60 AD. The formula was an important advancement as it allowed calculating the area of triangles without knowing the height. Over time, the formula has been expressed in different but equivalent ways and was independently discovered by Chinese mathematicians centuries later. Proving the formula rigorously requires advanced mathematical techniques unavailable in Heron's time. Today it remains a useful tool for solving geometry problems involving triangles.
Solving One Step Equations
The document provides information about solving one-step equations through addition, subtraction, multiplication, and division. It explains that when solving an equation, the goal is to isolate the variable by applying the inverse operation to both sides of the equation to maintain the balance. Several examples are worked through, demonstrating how to solve equations involving addition, subtraction, multiplication, and division. Word problems involving one-step equations are also introduced and it is explained how to set them up and solve for the unknown variable.
Perimeter and area
Perimeter is the distance around the outside of a shape, while area is the number of square units that fit inside the shape. The perimeter of a rectangle is calculated as 2 * length + 2 * width, while the area is calculated as length * width. Perimeter represents how much material is needed to go around a shape, like fencing for a farm, while area represents how much surface is covered inside the shape, like soil inside the farm.
Perimeter and Area Word Problems
Here are the 4 steps:
1. Look for clue words and decide perimeter or area
2. Draw a picture
3. Decide what formula to use
4. Solve
These 4 steps help us solve perimeter and area word problems.
Perimeter & area presentation
This document provides instructions and formulas for calculating the perimeter and area of rectangles and squares. It includes the objectives of finding perimeter and area using formulas, provides the relevant formulas, and includes example perimeter and area word problems to solve. Key information covered includes the definitions of perimeter and area, the perimeter and area formulas for rectangles and squares, and example activities applying the formulas.
Area & Perimeter
The document discusses perimeter and area, defining perimeter as the distance all the way around a figure and area as the number of square units needed to cover a surface. It provides formulas for calculating the perimeter and area of squares and rectangles. The perimeter of a square is calculated as P = 4s and the area as A = s^2. For a rectangle, the perimeter formula is P = 2w + 2l and the area formula is A = lw.
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Distributive property in algebra power point
The document discusses the distributive property in algebra. The distributive property allows terms inside parentheses to be distributed so that expressions can be simplified out of order from the standard order of operations. It involves multiplying the number outside of the parentheses by each term inside the parentheses. Examples are provided to demonstrate how to use the distributive property to simplify expressions.
Distributive property examples (with words)
The document provides examples of using the distributive property to break down word problems and number expressions. It shows how to identify a common term or factor in expressions like "firefly + firetruck" and "20 + 30", then use distributive property to write it as the common term distributing over the terms being added or multiplied, like "Fire(fly + truck)" and "10(2 + 3)". Several practice problems are provided to write expressions like "18 + 24" using this method.
Earthquakes revised
Faults form when stresses in the Earth's crust cause rocks to break along fractures. There are three main types of faults: normal faults form when tension pulls rocks apart, reverse faults form when compression squeezes rocks together, and strike-slip faults form when shear forces cause rocks to slide past one another. Most earthquakes occur when built-up stresses are suddenly released as the rocks move along fault surfaces. Earthquake waves travel through the Earth, with P-waves and S-waves causing the ground to shake and damage structures. The resulting shaking can also trigger other hazardous events like tsunamis and liquefaction.
Plate tectonics
The Earth's crust is divided into tectonic plates that are in constant motion due to convection currents in the upper mantle. There are three types of plate boundaries: divergent where plates move apart and new crust is formed, convergent where plates collide and can cause mountain building, and transform where plates slide past each other. Alfred Wegener first proposed the theory of continental drift in 1912, and the modern theory of plate tectonics explains how plate motions and interactions have shaped Earth's surface over geological time through subduction, volcanism, earthquakes and mountain formation.
Minerals and rocks final
The document describes the four main components that make up the Earth system: the atmosphere, hydrosphere, biosphere, and geosphere. It provides details on the composition and key aspects of each component. The atmosphere contains nitrogen and oxygen gases. The hydrosphere contains both saltwater and freshwater. The biosphere includes all living things on Earth. The geosphere is composed of layers within the Earth's crust and mantle.
Decimal review
The document provides 10 multiple choice questions that ask the learner to determine which number has the greatest or least value from a set of decimal numbers. It tests the learner's ability to compare decimal values and identify the greatest and least numbers. An answer key is provided to check the learner's work.
Decimal review
The document provides 10 multiple choice questions that ask the learner to determine which number has the greatest or least value from a set of decimal numbers. It tests the learner's ability to compare decimal values and identify the greatest and least numbers. An answer key is provided to check the learner's work.
Minerals and rocks final
The document describes the four main components that make up the Earth system: the atmosphere, hydrosphere, biosphere, and geosphere. It provides details on the composition and key aspects of each component. The atmosphere contains nitrogen and oxygen gases. The hydrosphere contains both saltwater and freshwater. The biosphere includes all living things on Earth. The geosphere is composed of layers within the Earth's crust and mantle.
Graphing functions
This document provides steps for graphing a function from a function table: 1) Create a function table with input-output pairs, 2) Plot the points on a coordinate plane, 3) Connect the dots to show the linear relationship, 4) Write the function using y=kx notation where k is the constant of proportionality, 5) Describe characteristics of the graph such as if it is increasing, decreasing or staying the same, 6) Extend the graph to find other values of the function.
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Title ix training students perry middle
Title IX protects students from harassment and discrimination in schools. It prohibits discrimination based on sex, including sexual harassment. Schools must have a Title IX coordinator to handle harassment complaints and investigate promptly. Students who experience or witness harassment should report it to a teacher, counselor, or administrator so the school can take steps to resolve the situation and ensure student safety.
Air movement 15.3
Wind is caused by differences in air pressure as air moves from high to low pressure. The Coriolis effect causes winds in the northern hemisphere to turn right and left in the southern hemisphere. There are global wind patterns like the trade winds near the equator and westerlies at higher latitudes that help move weather systems. Jet streams are fast winds near the top of the troposphere that also help transport storms and influence flight. Sea and land breezes occur as air moves between bodies of water and land due to differences in how quickly they heat and cool.
Writing equations wilkerson
There are 6 pencils for every box. The total number of pencils is 240. Write an equation to represent how many boxes there are if there are 6 pencils per box and the total pencils is 240.
Layers of the atmosphere
This document provides instructions on how to make a foldable to illustrate the five layers of Earth's atmosphere - troposphere, stratosphere, mesosphere, thermosphere, and exosphere. It includes key details about each layer such as its distance from Earth's surface, distinguishing characteristics, and objects found within that layer. Students are directed to additional resources to obtain information to include on their foldable.
Air movement 15.3
Wind is caused by differences in air pressure as warmer air rises and cooler air sinks. The Coriolis effect causes winds in the northern hemisphere to turn right and left in the southern hemisphere. There are global wind patterns like the trade winds and westerlies, as well as jet streams that move storms across countries. Local breezes also form daily over land and sea as each area's temperature changes with the sun.
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Atmosphere 15.1
The document describes the layers of Earth's atmosphere. It is composed of five main layers - the troposphere, stratosphere, mesosphere, thermosphere, and exosphere. The troposphere extends up to around 11 km and contains weather phenomena like clouds. The stratosphere extends from 10-50 km above Earth and contains the ozone layer which absorbs harmful UV radiation. The thermosphere is the hottest layer between 85-500 km high, with temperatures reaching 2000 degrees. The atmosphere protects life on Earth by trapping heat and blocking harmful solar rays, but certain gases like CFCs can deplete the ozone layer.
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Conversational agents, or chatbots, are increasingly used to access all sorts of services using natural language. While open-domain chatbots - like ChatGPT - can converse on any topic, task-oriented chatbots - the focus of this paper - are designed for specific tasks, like booking a flight, obtaining customer support, or setting an appointment. Like any other software, task-oriented chatbots need to be properly tested, usually by defining and executing test scenarios (i.e., sequences of user-chatbot interactions). However, there is currently a lack of methods to quantify the completeness and strength of such test scenarios, which can lead to low-quality tests, and hence to buggy chatbots.
To fill this gap, we propose adapting mutation testing (MuT) for task-oriented chatbots. To this end, we introduce a set of mutation operators that emulate faults in chatbot designs, an architecture that enables MuT on chatbots built using heterogeneous technologies, and a practical realisation as an Eclipse plugin. Moreover, we evaluate the applicability, effectiveness and efficiency of our approach on open-source chatbots, with promising results.
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Solving multiplication and division equations power point
- 1. Solving Multiplication and Division Equations
- 2. Procedure • Isolate the variable by performing the inverse operation on the number that is attached to the variable. • The inverse of multiplication is division. The inverse of division is multiplication. • Use the “Golden Rule.” Perform the same operation on the other side of the equal sign.
- 3. Example The inverse of division is multiplication. Repeat the operation on the other side. m = 10 3 m ·3 =3 10 · 3 m = 30
- 4. Check. Use the original equation. m = 10 3 30 = 10 3 30 30 =
- 5. The inverse of multiplying is dividing. Example 2 105b = 7 105b 105 = 7 105 7 b= 105
- 6. Check 105b = 7 7 105 = 7 105 7 = 7
- 7. Check 105b = 7 7 105 = 7 105 7 = 7