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Awesome Worksheets for Linear Inequalities and Absolute Value Equations

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Midterm Study Guide: Review of the First Half of the Course

1,169

Oct 29, 2023

34 pages

Awesome Worksheets for Linear Inequalities and Absolute Value Equations

Mathematics concepts like linear inequalities, absolute value equations,... Show more


<p>In this section, we will focus on linear inequalities and how to solve them. We will also look at some examples and their answers to bet

Understanding Real Numbers and Linear Equations

Mathematics builds upon fundamental concepts of real numbers and their properties. The real number system includes Natural numbers 1,2,3...1, 2, 3..., Whole numbers 0,1,2...0, 1, 2..., Integers ...2,1,0,1,2......-2, -1, 0, 1, 2..., and Rational numbers fractionsanddecimalsfractions and decimals. Understanding these number categories helps in solving complex algebraic problems.

When working with equations, the Order of Operations PEMDASPEMDAS and Distributive Property are essential tools. These principles ensure consistent solutions when solving equations. For example, when solving 3x2x-2 = 3y-5x, first distribute the 3, resulting in 3x-6 = 3y-5x. Then, combine like terms and isolate the variable.

Literal equations require isolating a specific variable, which means getting all terms with that variable on one side of the equation. This process involves careful application of algebraic properties and maintaining equation balance through equivalent operations on both sides.

Definition: Real numbers include all rational and irrational numbers that can be represented on a number line.


<p>In this section, we will focus on linear inequalities and how to solve them. We will also look at some examples and their answers to bet

Linear Inequalities and Absolute Value

Solving linear inequalities follows similar rules to solving equations, but with special attention to inequality symbols. When multiplying or dividing by a negative number, the inequality sign must be reversed. For example, in solving -2x+4x+4 + 9 < -11, distribute first, then isolate x while being mindful of sign changes.

Absolute value equations represent the distance from zero on a number line. When solving absolute value equations, remember that the absolute value of a number cannot equal a negative value. For instance, |3x-2| = 15 means that 3x-2 equals either 15 or -15, resulting in two possible solutions.

Highlight: When solving absolute value inequalities, the solution often involves "or" statements for greater than conditions and "and" statements for less than conditions.


<p>In this section, we will focus on linear inequalities and how to solve them. We will also look at some examples and their answers to bet

Functions and Relations

A relation represents a set of ordered pairs, while a function is a special type of relation where each input has exactly one output. The domain represents all possible input values xcoordinatesx-coordinates, and the range includes all possible output values ycoordinatesy-coordinates.

Function notation fxx provides a clear way to express relationships between variables. When working with intervals, proper notation is crucial: parentheses indicate open intervals notincludingendpointsnot including endpoints, while brackets indicate closed intervals includingendpointsincluding endpoints.

Vocabulary: The vertical line test determines if a relation is a function - if any vertical line intersects the graph more than once, it's not a function.


<p>In this section, we will focus on linear inequalities and how to solve them. We will also look at some examples and their answers to bet

Direct Variation and Linear Functions

Direct variation occurs when two quantities change proportionally - as one increases or decreases, the other changes by the same factor. The formula y = kx represents direct variation, where k is the constant of variation. All direct variation examples produce graphs that pass through the origin.

Linear functions can be written in multiple forms: slope-intercept y=mx+by = mx + b, point-slope yy1=m(xx1y - y₁ = m(x - x₁), and standard form Ax+By=CAx + By = C. Each form serves specific purposes in analyzing linear relationships. Parallel lines have the same slope, while perpendicular lines have slopes that are negative reciprocals of each other.

Example: In direct variation examples with solution, if y varies directly with x and y = 6 when x = 2, then k = 3, making the equation y = 3x.


<p>In this section, we will focus on linear inequalities and how to solve them. We will also look at some examples and their answers to bet

Understanding Linear Functions and Data Analysis

When working with linear inequalities, understanding slope relationships is crucial. A vertical line has an undefined slope, while a horizontal line has a zero slope. This fundamental concept helps in graphing linear inequalities and analyzing data patterns.

Data analysis often involves scatter plots, which show relationships between two sets of data through plotted ordered pairs. The correlation between data sets can range from strong positive to strong negative, with weak correlations and no correlation in between. The line of best fit, found through linear regression, provides the most accurate model of related data.

Definition: A scatter plot is a graph that displays the relationship between two variables by plotting data points as ordered pairs on a coordinate plane.

When making predictions using linear models, we use interpolation for values within the data set and extrapolation for values outside it. The correlation coefficient rr indicates the accuracy of predictions - the closer to 1 or -1, the more reliable the model.

Example: To find the line of best fit using a graphing calculator:

  1. Enter "Stat" then "Edit"
  2. Input data in L₁ and L₂
  3. Select "Stat" > "CALC" > "LinRega+bxa+bx"
  4. Calculate to find the correlation coefficient

<p>In this section, we will focus on linear inequalities and how to solve them. We will also look at some examples and their answers to bet

Working with Piecewise and Absolute Value Functions

Absolute value equations require careful attention to domain and range. A piecewise function consists of multiple functions defined over different intervals. When graphing these functions, pay special attention to the boundary points and whether they're included in the domain.

Highlight: The parent function for absolute value is y=|x| with vertex at 0,00,0 and equal slopes of ±1 on either side.

The general form of an absolute value equation is y=a|x-h|+k, where:

  • a determines the slope of the arms and whether the function opens up or down
  • h shifts the function horizontally
  • k shifts the function vertically
  • h,kh,k represents the vertex

Vocabulary: The axis of symmetry is a vertical line that passes through the vertex, dividing the absolute value function into mirror images.


<p>In this section, we will focus on linear inequalities and how to solve them. We will also look at some examples and their answers to bet

Mastering Linear Inequalities and Systems

Linear inequalities rules are essential for solving complex problems. When graphing linear inequalities, remember to:

  1. Graph the boundary line solidforor,dashedfor<or>solid for ≤ or ≥, dashed for < or >
  2. Test a point to determine which side to shade
  3. Identify x-intercepts and y-intercepts for accurate plotting

Example: For the inequality 3x2x-2+2y≤6:

  • Simplify to 3x+2y≤12
  • Test point 0,00,0: 0+0≤12 truetrue
  • Shade the region containing the test point

Solving absolute value inequalities combines concepts from both linear inequalities and absolute value equations. These problems often result in compound inequalities that require careful attention to domain restrictions.


<p>In this section, we will focus on linear inequalities and how to solve them. We will also look at some examples and their answers to bet

Linear Systems and Matrix Applications

Understanding how to solve systems of equations through multiple methods provides flexibility in problem-solving. Methods include:

  • Graphing: Find intersection points
  • Tables: Use technology to find common y-values
  • Substitution: Solve for one variable and substitute
  • Elimination: Remove one variable to solve for another

Definition: A system of equations is consistent if it has at least one solution and inconsistent if it has no solutions.

Linear programming applies these concepts to real-world optimization problems. For example, when maximizing profit in production scenarios, we use systems of inequalities to model constraints and an objective function to find the optimal solution.

Example: In the piñata production problem, constraints include:

  • Time limitation 30hours30 hours
  • Minimum quantity requirement 12pin~atas12 piñatas
  • Non-negative production values

<p>In this section, we will focus on linear inequalities and how to solve them. We will also look at some examples and their answers to bet

Solving Linear Systems and Optimization Problems

Understanding how to solve complex linear inequalities and optimization problems is crucial for students advancing in mathematics. This comprehensive guide breaks down the process of solving real-world optimization scenarios using linear inequalities examples and answers.

When approaching optimization problems, we first need to identify our variables and establish the objective function. In our example, we're working with a business scenario where 'x' represents mini products and 'y' represents regular products. The objective function P=12x+24y helps determine the profit based on these variables.

Definition: An objective function is a mathematical expression that represents what we're trying to maximize or minimize in an optimization problem, typically involving profit, cost, or resources.

The constraints in optimization problems create boundaries for our feasible region. In this case, we have two main constraints: 2x + 3y ≤ 30 and x + y = 12. These constraints, when graphed, create a feasible region where all possible solutions must lie. Understanding how to graph these linear inequalities and identify the feasible region is essential for finding the optimal solution.

Example: To find the vertices of the feasible region:

  • Plot the points 12,012,0, 15,015,0, and 6,66,6
  • Test each vertex in the objective function
  • Compare the results to find the maximum value

The solution process culminates in testing the vertices of the feasible region in our objective function. By evaluating P=12x+24y at each vertex, we can determine that the optimal solution occurs at the point 6,66,6, yielding a maximum profit of $216. This means producing 6 mini products and 6 regular products will generate the highest possible profit while satisfying all constraints.


<p>In this section, we will focus on linear inequalities and how to solve them. We will also look at some examples and their answers to bet

Three-Dimensional Systems and Multiple Variables

Moving beyond two-dimensional problems, systems with three variables introduce us to three-dimensional space where solutions are represented as ordered triples x,y,zx,y,z. These systems require a more sophisticated approach to visualization and solving.

When working with three-dimensional systems, we encounter equations in the form Ax + By + Cz = D, where A, B, C, and D are constants. These equations represent planes in three-dimensional space, and their intersections can result in three possible scenarios:

Highlight: Three planes can intersect in one of three ways:

  1. No solution nocommonpointno common point
  2. One solution singlepointofintersectionsingle point of intersection
  3. Infinite solutions lineofintersectionline of intersection

Understanding these intersection possibilities is crucial for solving real-world problems that involve multiple variables and constraints. The elimination method becomes particularly useful when solving systems with three variables, as it allows us to systematically reduce the system to simpler equations.

Vocabulary: Key terms for 3D systems:

  • Ordered triples: Points in 3D space x,y,zx,y,z
  • Planes: Flat surfaces extending infinitely in 3D
  • Intersection: Where two or more planes meet

The complexity of three-dimensional systems requires careful attention to detail and systematic problem-solving approaches. Students should practice visualizing these systems and understanding how different planes interact in three-dimensional space to build a strong foundation for advanced mathematical concepts.



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This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

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Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

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Brad T

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Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

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The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

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Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

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THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

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This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

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Algebra 2

1,169

Oct 29, 2023

34 pages

Awesome Worksheets for Linear Inequalities and Absolute Value Equations

Mathematics concepts like linear inequalities, absolute value equations, and variation relationships form essential building blocks for algebra and advanced math.

Linear inequalitiesinvolve mathematical statements where one expression is greater than, less than, or equal to another expression.... Show more


<p>In this section, we will focus on linear inequalities and how to solve them. We will also look at some examples and their answers to bet

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Understanding Real Numbers and Linear Equations

Mathematics builds upon fundamental concepts of real numbers and their properties. The real number system includes Natural numbers 1,2,3...1, 2, 3..., Whole numbers 0,1,2...0, 1, 2..., Integers ...2,1,0,1,2......-2, -1, 0, 1, 2..., and Rational numbers fractionsanddecimalsfractions and decimals. Understanding these number categories helps in solving complex algebraic problems.

When working with equations, the Order of Operations PEMDASPEMDAS and Distributive Property are essential tools. These principles ensure consistent solutions when solving equations. For example, when solving 3x2x-2 = 3y-5x, first distribute the 3, resulting in 3x-6 = 3y-5x. Then, combine like terms and isolate the variable.

Literal equations require isolating a specific variable, which means getting all terms with that variable on one side of the equation. This process involves careful application of algebraic properties and maintaining equation balance through equivalent operations on both sides.

Definition: Real numbers include all rational and irrational numbers that can be represented on a number line.


<p>In this section, we will focus on linear inequalities and how to solve them. We will also look at some examples and their answers to bet

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Improve your grades

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By signing up you accept Terms of Service and Privacy Policy

Linear Inequalities and Absolute Value

Solving linear inequalities follows similar rules to solving equations, but with special attention to inequality symbols. When multiplying or dividing by a negative number, the inequality sign must be reversed. For example, in solving -2x+4x+4 + 9 < -11, distribute first, then isolate x while being mindful of sign changes.

Absolute value equations represent the distance from zero on a number line. When solving absolute value equations, remember that the absolute value of a number cannot equal a negative value. For instance, |3x-2| = 15 means that 3x-2 equals either 15 or -15, resulting in two possible solutions.

Highlight: When solving absolute value inequalities, the solution often involves "or" statements for greater than conditions and "and" statements for less than conditions.


<p>In this section, we will focus on linear inequalities and how to solve them. We will also look at some examples and their answers to bet

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Functions and Relations

A relation represents a set of ordered pairs, while a function is a special type of relation where each input has exactly one output. The domain represents all possible input values xcoordinatesx-coordinates, and the range includes all possible output values ycoordinatesy-coordinates.

Function notation fxx provides a clear way to express relationships between variables. When working with intervals, proper notation is crucial: parentheses indicate open intervals notincludingendpointsnot including endpoints, while brackets indicate closed intervals includingendpointsincluding endpoints.

Vocabulary: The vertical line test determines if a relation is a function - if any vertical line intersects the graph more than once, it's not a function.


<p>In this section, we will focus on linear inequalities and how to solve them. We will also look at some examples and their answers to bet

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Direct Variation and Linear Functions

Direct variation occurs when two quantities change proportionally - as one increases or decreases, the other changes by the same factor. The formula y = kx represents direct variation, where k is the constant of variation. All direct variation examples produce graphs that pass through the origin.

Linear functions can be written in multiple forms: slope-intercept y=mx+by = mx + b, point-slope yy1=m(xx1y - y₁ = m(x - x₁), and standard form Ax+By=CAx + By = C. Each form serves specific purposes in analyzing linear relationships. Parallel lines have the same slope, while perpendicular lines have slopes that are negative reciprocals of each other.

Example: In direct variation examples with solution, if y varies directly with x and y = 6 when x = 2, then k = 3, making the equation y = 3x.


<p>In this section, we will focus on linear inequalities and how to solve them. We will also look at some examples and their answers to bet

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Understanding Linear Functions and Data Analysis

When working with linear inequalities, understanding slope relationships is crucial. A vertical line has an undefined slope, while a horizontal line has a zero slope. This fundamental concept helps in graphing linear inequalities and analyzing data patterns.

Data analysis often involves scatter plots, which show relationships between two sets of data through plotted ordered pairs. The correlation between data sets can range from strong positive to strong negative, with weak correlations and no correlation in between. The line of best fit, found through linear regression, provides the most accurate model of related data.

Definition: A scatter plot is a graph that displays the relationship between two variables by plotting data points as ordered pairs on a coordinate plane.

When making predictions using linear models, we use interpolation for values within the data set and extrapolation for values outside it. The correlation coefficient rr indicates the accuracy of predictions - the closer to 1 or -1, the more reliable the model.

Example: To find the line of best fit using a graphing calculator:

  1. Enter "Stat" then "Edit"
  2. Input data in L₁ and L₂
  3. Select "Stat" > "CALC" > "LinRega+bxa+bx"
  4. Calculate to find the correlation coefficient

<p>In this section, we will focus on linear inequalities and how to solve them. We will also look at some examples and their answers to bet

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Improve your grades

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Working with Piecewise and Absolute Value Functions

Absolute value equations require careful attention to domain and range. A piecewise function consists of multiple functions defined over different intervals. When graphing these functions, pay special attention to the boundary points and whether they're included in the domain.

Highlight: The parent function for absolute value is y=|x| with vertex at 0,00,0 and equal slopes of ±1 on either side.

The general form of an absolute value equation is y=a|x-h|+k, where:

  • a determines the slope of the arms and whether the function opens up or down
  • h shifts the function horizontally
  • k shifts the function vertically
  • h,kh,k represents the vertex

Vocabulary: The axis of symmetry is a vertical line that passes through the vertex, dividing the absolute value function into mirror images.


<p>In this section, we will focus on linear inequalities and how to solve them. We will also look at some examples and their answers to bet

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Mastering Linear Inequalities and Systems

Linear inequalities rules are essential for solving complex problems. When graphing linear inequalities, remember to:

  1. Graph the boundary line solidforor,dashedfor<or>solid for ≤ or ≥, dashed for < or >
  2. Test a point to determine which side to shade
  3. Identify x-intercepts and y-intercepts for accurate plotting

Example: For the inequality 3x2x-2+2y≤6:

  • Simplify to 3x+2y≤12
  • Test point 0,00,0: 0+0≤12 truetrue
  • Shade the region containing the test point

Solving absolute value inequalities combines concepts from both linear inequalities and absolute value equations. These problems often result in compound inequalities that require careful attention to domain restrictions.


<p>In this section, we will focus on linear inequalities and how to solve them. We will also look at some examples and their answers to bet

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Improve your grades

Join milions of students

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Linear Systems and Matrix Applications

Understanding how to solve systems of equations through multiple methods provides flexibility in problem-solving. Methods include:

  • Graphing: Find intersection points
  • Tables: Use technology to find common y-values
  • Substitution: Solve for one variable and substitute
  • Elimination: Remove one variable to solve for another

Definition: A system of equations is consistent if it has at least one solution and inconsistent if it has no solutions.

Linear programming applies these concepts to real-world optimization problems. For example, when maximizing profit in production scenarios, we use systems of inequalities to model constraints and an objective function to find the optimal solution.

Example: In the piñata production problem, constraints include:

  • Time limitation 30hours30 hours
  • Minimum quantity requirement 12pin~atas12 piñatas
  • Non-negative production values

<p>In this section, we will focus on linear inequalities and how to solve them. We will also look at some examples and their answers to bet

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Improve your grades

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Solving Linear Systems and Optimization Problems

Understanding how to solve complex linear inequalities and optimization problems is crucial for students advancing in mathematics. This comprehensive guide breaks down the process of solving real-world optimization scenarios using linear inequalities examples and answers.

When approaching optimization problems, we first need to identify our variables and establish the objective function. In our example, we're working with a business scenario where 'x' represents mini products and 'y' represents regular products. The objective function P=12x+24y helps determine the profit based on these variables.

Definition: An objective function is a mathematical expression that represents what we're trying to maximize or minimize in an optimization problem, typically involving profit, cost, or resources.

The constraints in optimization problems create boundaries for our feasible region. In this case, we have two main constraints: 2x + 3y ≤ 30 and x + y = 12. These constraints, when graphed, create a feasible region where all possible solutions must lie. Understanding how to graph these linear inequalities and identify the feasible region is essential for finding the optimal solution.

Example: To find the vertices of the feasible region:

  • Plot the points 12,012,0, 15,015,0, and 6,66,6
  • Test each vertex in the objective function
  • Compare the results to find the maximum value

The solution process culminates in testing the vertices of the feasible region in our objective function. By evaluating P=12x+24y at each vertex, we can determine that the optimal solution occurs at the point 6,66,6, yielding a maximum profit of $216. This means producing 6 mini products and 6 regular products will generate the highest possible profit while satisfying all constraints.


<p>In this section, we will focus on linear inequalities and how to solve them. We will also look at some examples and their answers to bet

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Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Three-Dimensional Systems and Multiple Variables

Moving beyond two-dimensional problems, systems with three variables introduce us to three-dimensional space where solutions are represented as ordered triples x,y,zx,y,z. These systems require a more sophisticated approach to visualization and solving.

When working with three-dimensional systems, we encounter equations in the form Ax + By + Cz = D, where A, B, C, and D are constants. These equations represent planes in three-dimensional space, and their intersections can result in three possible scenarios:

Highlight: Three planes can intersect in one of three ways:

  1. No solution nocommonpointno common point
  2. One solution singlepointofintersectionsingle point of intersection
  3. Infinite solutions lineofintersectionline of intersection

Understanding these intersection possibilities is crucial for solving real-world problems that involve multiple variables and constraints. The elimination method becomes particularly useful when solving systems with three variables, as it allows us to systematically reduce the system to simpler equations.

Vocabulary: Key terms for 3D systems:

  • Ordered triples: Points in 3D space x,y,zx,y,z
  • Planes: Flat surfaces extending infinitely in 3D
  • Intersection: Where two or more planes meet

The complexity of three-dimensional systems requires careful attention to detail and systematic problem-solving approaches. Students should practice visualizing these systems and understanding how different planes interact in three-dimensional space to build a strong foundation for advanced mathematical concepts.

We thought you’d never ask...

What is the Knowunity AI companion?

Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.

Where can I download the Knowunity app?

You can download the app in the Google Play Store and in the Apple App Store.

Is Knowunity really free of charge?

You have the choice, we offer a 100% secure payment via PayPal or an Amazon gift card. There is no limit to how much you can earn.

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Students love us — and so will you.

4.9/5

App Store

4.8/5

Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user