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Algebra 1 Help | Free Algebra 1 Lessons & Practice Problems

Go through the lessons and practice problems below to help you learn Algebra 1 and excel in school. We’ll track your progress and help you identify your strengths and weaknesses. Our Algebra 1 lessons is available to everyone, but you need to create an account in order to access the practice questions and track your progress.

Algebra 1: 01-Introduction to Algebra

Algebra 1: 02-solving equations, algebra 1: 03-solving inequalities, algebra 1: 04-functions, algebra 1: 05-linear functions, algebra 1: 06-systems of equations and inequalities, algebra 1: 07-exponents and exponential functions, algebra 1: 08-polynomials & factoring, algebra 1: 09-quadratic functions and equations, algebra 1: 10-radical expressions & functions, protected: order – march 16, 2020 @ 08:13 pm, algebra 1: 11-rational expressions & functions, algebra 1: 12-data analysis & probability, i. introduction to algebra, lesson: verbal to algebraic expressions & equations.

$x$

Practice 01
Practice 02
Practice 03
Practice 04

Lesson: Declaring Variables

Example: Mike is 3 inches taller than Semande. If Semande is s inches tall, express Mike’s height in terms of s .

Lesson: Order of Operations

$3 - (5-8)^2$

Lesson: Real Numbers (Including Rational vs. Irrational Numbers)

Lesson: order of operations with substitution.

$x=2$

Lesson: Adding and Subtracting Real Numbers

$5 - (-2)$

Lesson: Multiplying and Dividing Real Numbers

$-3 \times 4$

Lesson: Properties of Real Numbers

$5(x+2y)+5=5x+10y+5$

Lesson: Distributive Property

$3(4x-5)$

Lesson: Finding the Solution to an Equation

$12 = 3x - 9$

II. Solving Equations

Lesson: solving algebraic equations (one-step).

$x+7=12$

Lesson: Solving Multi-Step Equations

$2x + 4 = 18$

Lesson: Multi-Step Equations (Variable on Both Sides)

$2x - 4 = -3x + 11$

Lesson: Linear Equations

$y$

Lesson: Solving Proportions

$\dfrac{x}{6} = \dfrac{20}{15}$

Lesson: Solving Complex Proportions

$\dfrac{x+5}{4} = \dfrac{3}{8}$

Lesson: Percents

Example: What is 48% of 30?

Lesson: Percent Change

Example: What is the percent change from 50 to 72?

III. Solving Inequalities

Lesson: graphing inequalities.

Lesson: Solving Inequalities Using Addition or Subtraction

$x - 12 > 8$

Lesson: Solving Inequalities Using Multiplication or Division

$-4x \geq 12$

Lesson: Solving Inequalities

$-7x + 19 \leq -2$

Lesson: Solving Compound Inequalities

$-3 \leq 2x -5$

Lesson: Solving and Graphing Compound Inequalities

$0 \leq r + 5$

Lesson: Absolute Value Equations

$p$

Lesson: Absolute Value Inequalities

$3|5x + 1|$

IV. Functions

Lesson: using graphs to relate two quantities.

Lesson: Patterns and Linear Functions

Lesson: Patterns and Non-Linear Functions

Example: For the set of ordered pairs, write the rule that represents the function. (0,1),(1,3),(2,9),(3,27),(4,81)

Lesson: Graphing a Function Rule

Lesson: Writing a Function Rule

Lesson: Formalizing Relations and Functions

Example: Is the following relation shown a function? (-2, 0.5), (0, 2.5), (4, 6.5), (5, 2.5)

V. Linear Functions

Lesson: slope.

Practice 01 – Slope from a graph & from 2 points
Practice 02 – Slope from a graph & from 2 points
Practice 03 – Slope from 2 Points
Practice 04 – Slope from 2 Points

Lesson: Equation of a Line

Lesson: point slope form, lesson: finding the equation of a line, given the slope and a point, lesson: standard form of the equations of a line.

$30-3y=15x$

Lesson: Finding the Equation of a Line, Given Two Points

Lesson: equations of parallel and perpendicular lines.

$y=3x-1$

Lesson: Scatterplots and Trendlines

If the trend continues, what is the expected y-value when x is 8, based on the scatterplot shown below?

Lesson: Graphing Absolute Value Functions

$y=|x|-1$

VI. Systems of Equations and Inequalities

Lesson: solving a system of equations graphically.

$y=2x+3$

Lesson: Solving a System of Equations Using Substitution

$y=5x+5$

Lesson: Solving a System of Equations Using Elimination

$3x+2y=15$

Lesson: Applications of Linear Systems

Lesson: word problems – system of equations, lesson: graphing linear inequalities.

$y \textless 3x-5$

What system of inequalities is shown below?

Lesson: Solving a System of Linear Inequalities

$y \geq x+4$

VII. Exponents and Exponential Functions

Lesson: positive exponents.

$3^2$

Lesson: Negative Exponents

$2^{-3}$

Lesson: Multiplying & Dividing Terms that have Exponents

$(4^3) (4^2)$

Lesson: Graphs of Exponential Functions

$y=2^x$

Lesson: Exponential Growth

Lesson: exponential decay.

$y=4^{-x}+2$

VIII. Polynomials and Factoring

Lesson: adding & subtracting polynomials.

$(3x+2)+(2x-1)$

Lesson: Multiplying a Polynomial by a Monomial

$4(-x+5)$

Lesson: Dividing a Polynomial by a Monomial

$\dfrac{4x+6}{2}$

Lesson: Factor Out the Greatest Common Factor

$4x+16$

Lesson: Multiplying Binomials

$(3x+2)(x-4)$

Lesson: Multiplying a Binomial by a Trinomial

$(2x-1)(3x^2 -x +2)$

Lesson: Multiplying a Trinomial by a Binomial

$(-x^2 +3x-5)(3x+2)$

Lesson: Multiplying Binomials (Special Cases)

$(3x+3)^2$

Lesson: Factoring Quadratics

$x^2 +2x -24$

Lesson: Difference of Perfect Squares

$x^2 -64$

Lesson: Factoring by Grouping

$x^3 +4x^2 -4x -16$

IX. Quadratic Functions and Equations

Lesson: evaluating quadratic functions.

$y=x^2 +3x -2$

Lesson: Properties of Quadratic Functions

$y=x^2 +x -5$

Lesson: Solving Quadratic Equations by Taking Square Roots

$x^2 = 16$

Lesson: Solving Equations by Factoring

$x^2 +9x +18$

Lesson: Completing the Square

$c$

Lesson: Solve Equations by Completing the Square

$x^2 +6x -10=0$

Lesson: Vertex Form of a Quadratic Function by Completing the Square

$y=x^2 +8x -12$

Lesson: Solving a System of Equations Graphically (Linear & Quadratic)

$y=x^2+4x+4$

Lesson: Solving a System of Equations Using Substitution (Linear & Quadratic)

$y=x^2 -4x +12$

X. Radical Expressions and Functions

Lesson: pythagorean theorem, lesson: simplifying radical expressions.

$\sqrt{45}$

Lesson: Adding and Subtracting Radical Expressions

$2\sqrt{27} + 3\sqrt{3}$

Lesson: Multiplying Radical Expressions

$\sqrt{3x^3} \cdot \sqrt{2x}$

Lesson: Dividing Radical Expressions

$\dfrac{\sqrt{5x^2 y^3}}{\sqrt{x^3 y^4}}$

Lesson: Solving Equations That Have Radical Terms

$\sqrt{x+3} -5 = 10$

Lesson: Graphing Square Root Functions

$y=\sqrt{x} -1$

Lesson: SOHCAHTOA (sine, cosine, tangent)

$\triangle ABC$

Lesson: Inverse Trigonometric Functions

$\overline{AB} = 12$

XI. Rational Expressions and Functions

Lesson: simplifying rational expressions.

$\dfrac{12x^4}{2x^2}$

Lesson: Multiplying and Dividing Rational Expressions

$\dfrac{2}{3} \cdot \dfrac{6x^3}{8}$

Lesson: Dividing Polynomials

$\dfrac{10x^4 - 15x}{5x^2}$

Lesson: Adding and Subtracting Rational Expressions

$\dfrac{3-x}{x^2+3x-1} + \dfrac{3-x}{x^2+3x-1}$

Lesson: Fractional Equations

$\dfrac{2}{x} + \dfrac{3}{8} = \dfrac{10}{x}$

Lesson: Solving Rational Equations

$\dfrac{5}{x^2} - \dfrac{2}{3x} = \dfrac{4}{x}$

Lesson: Inverse Variation

$y=15$

Lesson: Graphing Rational Functions

$f(x)=\dfrac{1}{x+2}$

XII. Data Analysis and Probability

Lesson: matrices.

What are the dimensions of this matrix?

Lesson: Frequency, Cumulative Frequency, & Histograms

Lesson: measures of central tendency & dispersion, lesson: box & whisker plot, lesson: samples and surveys, lesson: permutations and combinations.

$_3 P _2$

Lesson: Theoretical vs. Experimental Probability

Lesson: probability of compound events.

Sign up for a free membership on our algebra 1 lessons & start learning today. Learn about the importance of learning algebra here .

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Solve equations and inequalities
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What can QuickMath do?

QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students.

The algebra section allows you to expand, factor or simplify virtually any expression you choose. It also has commands for splitting fractions into partial fractions, combining several fractions into one and cancelling common factors within a fraction.
The equations section lets you solve an equation or system of equations. You can usually find the exact answer or, if necessary, a numerical answer to almost any accuracy you require.
The inequalities section lets you solve an inequality or a system of inequalities for a single variable. You can also plot inequalities in two variables.
The calculus section will carry out differentiation as well as definite and indefinite integration.
The matrices section contains commands for the arithmetic manipulation of matrices.
The graphs section contains commands for plotting equations and inequalities.
The numbers section has a percentages command for explaining the most common types of percentage problems and a section for dealing with scientific notation.

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Writing variable expressions
Order of operations
Evaluating expressions
Number sets
Adding rational numbers
Adding and subtracting rational numbers
Multiplying and dividing rational numbers
The distributive property
Combining like terms
Percent of change
One-step equations
Two-step equations
Multi-step equations
Absolute value equations
Solving proportions
Percent problems
Distance-rate-time word problems
Mixture word problems
Work word problems
Literal Equations
Graphing one-variable inequalities
One-step inequalities
Two-step inequalities
Multi-step inequalities
Compound inequalities
Absolute value inequalities
Discrete relations
Continuous relations
Evaluating and graphing functions
Finding slope from a graph
Finding slope from two points
Finding slope from an equation
Graphing lines using slope-intercept form
Graphing lines using standard form
Writing linear equations
Graphing linear inequalities
Graphing absolute value equations
Direct variation
Solving systems of equations by graphing
Solving systems of equations by elimination
Solving systems of equations by substitution
Systems of equations word problems
Graphing systems of inequalities
Discrete exponential growth and decay word problems
Exponential functions and graphs
Writing numbers in scientific notation
Operations with scientific notation
Addition and subtraction with scientific notation
Naming polynomials
Adding and subtracting polynomials
Multiplying polynomials
Multiplying special case polynomials
Factoring special case polynomials
Factoring by grouping
Dividing polynomials
Graphing quadratic inequalities
Completing the square
By taking square roots
By factoring
With the quadratic formula
By completing the square
Simplifying radicals
Adding and subtracting radical expressions
Multiplying radicals
Dividing radicals
Using the distance formula
Using the midpoint formula
Simplifying rational expressions
Finding excluded values / restricted values
Multiplying rational expressions
Dividing rational expressions
Adding and subtracting rational expressions
Finding trig. ratios
Finding angles of triangles
Finding side lengths of triangles
Visualizing data
Center and spread of data
Scatter plots
Using statistical models

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Google's Circle to Search can help students with their homework, here is how to use the feature

I n January this year, Google announced the Circle To Search feature for Android devices, which allowed users to search for anything on their phones without having to switch applications. Users can simply outline items on their screen with their fingers to prompt a Google search. The feature debuted on Samsung's Galaxy S24 series and was then introduced on the Pixel 8, Pixel 8 Pro, and the recently-launched Pixel 8a. Last night, during Google's annual developer conference, Google I/O, the company introduced new updates for the Circle to Search feature.Â

Google is boosting the capabilities of Android's Circle to Search and it can now prove to be useful for students. The feature now includes a new tool designed to guide students through solving math and physics problems from their homework. Google says thatÂ while the feature aids in understanding the problem, it doesn't complete the homework for students and is there to help them learn how to tackle the problems themselves.

By using an Android smartphone or tablet, students can activate Circle to Search to receive AI-driven assistance with mathematical word problems. The function breaks down the problem and outlines steps necessary to find the correct solution.Â

This enhancement comes at a time when the use of AI tools in education, like ChatGPT, has sparked debate. There are widespread concerns about how students might use these tools to expedite their homework. Google is keen to position this new capability as a supportive educational tool, addressing some of these concerns by focusing on helping students learn rather than doing their work for them.

Circle to Search is set to expand further. The company announced that later this year, Circle To Search will be equipped to handle more complex math equations involving formulas, diagrams, graphs, and more. To power these advanced features, Google is leveraging LearnLM, its latest AI model specifically fine-tuned for educational purposes.

"Starting today, Circle to Search can now help students with homework, giving them a deeper understanding, not just an answer â directly from their phones and tablets. When students circle a prompt they're stuck on, they'll get step-by-step instructions to solve a range of physics and math1 word problems without leaving their digital info sheet or syllabus. Later this year, Circle to Search will be able to help solve even more complex problems involving symbolic formulas, diagrams, graphs and more. This is all possible due to our LearnLM effort to enhance our models and products for learning," the company noted in its blog post announcing the feature.

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Google's Circle to Search can help students with their homework, here is how to use the feature

Experience Google AI in even more ways on Android

May 14, 2024

[[read-time]] min read

By building AI right into the Android operating system, we're reimagining how you can interact with your phone.

Bullet points
Circle to Search gets smarter, helping students solve physics and math problems directly from their phones and tablets.
Gemini on Android improves context understanding, allowing users to drag and drop generated images and ask questions about videos and PDFs.
Gemini Nano with Multimodality coming to Pixel, bringing multimodal capabilities for richer image descriptions and scam alerts during phone calls.
Android 15 and ecosystem updates coming tomorrow.
Basic explainer

Google is making Android phones smarter with AI.

Circle to Search can now help students with homework.

Gemini, a new AI assistant, can understand what's on your screen and help you do things.

Android phones will soon be able to alert you to suspected scams during phone calls.

Explore other styles:

An Android mascot stands in front of screens displaying Circle to Search for homework help, scam detection alert, TalkBack, and Gemini’s overlay with a button that says "Ask this PDF."

We’re at a once-in-a-generation moment where the latest advancements in AI are reinventing what phones can do. With Google AI at the core of Android’s operating system, the billions of people who use Android can now interact with their devices in entirely new ways.

Today, we’re sharing updates that let you experience Google AI on Android.

Circle to Search can now help students with homework

With Circle to Search built directly into the user experience, you can search anything you see on your phone using a simple gesture — without having to stop what you’re doing or switch to a different app. Since launching at Samsung Unpacked , we’ve added new capabilities to Circle to Search, like full-screen translation , and we’ve expanded availability to more Pixel and Samsung devices.

Starting today, Circle to Search can now help students with homework, giving them a deeper understanding, not just an answer — directly from their phones and tablets. When students circle a prompt they’re stuck on, they’ll get step-by-step instructions to solve a range of physics and math 1 word problems without leaving their digital info sheet or syllabus. Later this year, Circle to Search will be able to help solve even more complex problems involving symbolic formulas, diagrams, graphs and more. This is all possible due to our LearnLM effort to enhance our models and products for learning.

Circle to Search is already available on more than 100 million devices today. With plans to bring the experience to more devices, we’re on track to double that by the end of the year.

Gemini will get even better at understanding context to assist you in getting things done

Gemini on Android is a new kind of assistant that uses generative AI to help you be more creative and productive. This experience, which is integrated into Android, is getting even better at understanding the context of what’s on your screen and what app you’re using.

Soon, you’ll be able to bring up Gemini's overlay on top of the app you're in to easily use Gemini in more ways. For example, you can drag and drop generated images into Gmail, Google Messages and other places, or tap “Ask this video” to find specific information in a YouTube video. If you have Gemini Advanced, you’ll also have the option to “Ask this PDF” to quickly get answers without having to scroll through multiple pages. This update will roll out to hundreds of millions of devices over the next few months.

And we’ll continue to improve Gemini to give you more dynamic suggestions related to what’s on your screen.

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Full multimodal capabilities coming to Gemini Nano

Android is the first mobile operating system that includes a built-in, on-device foundation model. With Gemini Nano, we’re able to bring experiences to you quickly and keep your information completely private to you. Starting with Pixel later this year, we’ll be introducing our latest model, Gemini Nano with Multimodality. This means your phone will not just be able to process text input but also understand more information in context like sights, sounds and spoken language.

Clearer descriptions with TalkBack

Later this year, Gemini Nano’s multimodal capabilities are coming to TalkBack, helping people who experience blindness or low vision get richer and clearer descriptions of what’s happening in an image. On average, TalkBack users come across 90 unlabeled images per day. This update will help fill in missing information — whether it’s more details about what’s in a photo that family or friends sent or the style and cut of clothes when shopping online. Since Gemini Nano is on-device, these descriptions happen quickly and even work when there's no network connection.

Receive alerts for suspected scams during phone calls

According to a recent report , in a 12-month period, people lost more than $1 trillion to fraud. We’re testing a new feature that uses Gemini Nano to provide real-time alerts during a call if it detects conversation patterns commonly associated with scams. For example, you would receive an alert if a “bank representative” asks you to urgently transfer funds, make a payment with a gift card or requests personal information like card PINs or passwords, which are uncommon bank requests . This protection all happens on-device, so your conversation stays private to you. We’ll share more about this opt-in feature later this year.

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More to come on Android

We’re just getting started with how on-device AI can change what your phone can do, and we’ll continue building Google AI into every part of the smartphone experience with Pixel, Samsung and more. If you’re a developer, check out the Android Developers blog to learn how you can build with our latest AI models and tools, like Gemini Nano and Gemini in Android Studio.

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Available for some math word problems when opted into Search Labs.

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Android’s Circle to Search will help solve math, physics problems

Circle to Search will be getting a significant functional boost later this year. At I/O 2024, Google confirmed to upgrade Android’s Circle to Search with the ability to help you get your homework done. The service will add support for Math and Physics topics to help users.

Google teased at I/O 2024 that Circle to Search will add new features, helping students better understand potentially difficult class topics. Looking at what Google teased, the feature could show them step-by-step instructions for a “range of physics and math word problems.”

Thanks to the LearnLM AI models, Circle to Search will be capable of understanding and demonstrating symbolic formulas, diagrams, graphs, and more. When available, it will be accessible as an experimental feature which could be activated through Google Account under the Labs section.

Circle to Search now makes for a great study buddy 📝 You can circle complex physics problems on your phone or tablet to get step-by-step instructions to learn how to solve. #GoogleIO pic.twitter.com/nFFW36BwWo — Google (@Google) May 14, 2024

To recall, Circle to Search was first released with Samsung’s S24 series earlier this year. Later on, the Pixel 8 and 8 Pro received it through an OTA upgrade. It’s one of the star new features of Android, and although iOS users can’t yet circle their math homework for help, anything is possible.

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Apple, TSMC to be jealous: Samsung Galaxy Watch 7 adopts 3nm Exynos W1000

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James is the lead content creator on Sammy Fans and mostly works on Samsung's firmware section. His first phone was the Galaxy S4 and continues to get new S series devices. Most of the time, James tries to learn about new technologies and gadgets but he also sneaks a bit of free time to nearby rivers and nature.

9th Samsung Galaxy Ring variant surfaces

So it’s now almost confirmed that the Samsung Galaxy Ring would be available in 9 sizes. Earlier, the company’s upcoming smart device was spotted in 8 variants. Now, the latest listing confirms the existence of the ninth version, which was missing in the past.

As spotted by 91mobiles , the 9th model of Samsung Galaxy Ring has now been spotted on Bluetooth SIG certification. Notably, the ninth Galaxy Ring variant (model number SM-Q503) brings support for Bluetooth 5.4, aligning with the rumors we’ve heard in the past.

Ring variants denote different sizes of Samsung’s upcoming wearable device, making a praiseworthy array for consumers. The South Korean tech giant unveiled the Galaxy Ring at the Mobile World Congress. It is expected to be launched at the Galaxy Unpacked in July.

The South Korean tech giant is expected to launch the Galaxy Ring in three color options including Ceramic Black, Platinum Silver, and Gold. Additionally, the largest Ring model is slated to have a larger battery than the remaining variants.

Image: 91mobiles

Samsung drops Best Buy, Qualcomm from top five customers

Samsung recently revealed changes in its top five customers for the first quarter of 2024. Samsung dropped US-based Qualcomm and Best Buy from its top five clients and joined Chinese semiconductor suppliers Digitimes report.

According to the info, US-based Qualcomm and Best Buy are no longer in Samsung’s top 5 clients in 2024. The South Korean tech giant has added two new firms to its list of five top clients, per the quarterly report announced yesterday.

The company has listed Hong Kong-based Techtronics and Singapore-based Supreme Electronics. These firms retail chips in China, which replaced Qualcomm and Best Buy in the company’s top five customer list.

In the first quarter, Apple, Deutsch Telekom, Techtronics, Supreme Electronics and Verizon were Samsung’s top 5 clients. The five customers accounted for 13 percent of Samsung’s quarterly revenue.

Samsung devices renewed with Galaxy AI features [List]

Samsung Intelligence Voice Services update

Galaxy AI has many features that make flagship Samsung phones like new. Debuted with the Galaxy S24 series, Samsung’s Galaxy AI innovation is rolling out to recent premium phones, foldables, and tablets.

Last month, Samsung upgraded all the 2023 flagship phones, tablets, and foldables with Galaxy AI features. Earlier this month, the company further expanded the AI features with One UI 6.1 update to flagships released in 2022.

Galaxy AI brings both on-device and cloud-based artificial intelligence features. Google smartphone users are feeling robbed as they are not getting the AI advancements that the company announced with the Pixel 8 Pro.

Samsung’s Galaxy AI brings many cool features such as Live Translate, Interpreter, Generative Edit, Note Assist, Browsing Assist, Video Editor, Generative Wallpaper, and Circle to Search by Google.

Samsung devices renewed w/ Galaxy AI features

Galaxy S23 series, Galaxy Z Flip 5, Galaxy Z Fold 5, and Galaxy Tab S9 series benefited in the first phase of rollout. However, the second phase of Galaxy AI has just resumed after a slight break to the Galaxy S22 series.

While the Galaxy S23 and other 2023 models have widely received the update, the Galaxy S22’s rollout has just started. Initially available in South Korea, the AI-packed One UI upgrade will soon be available on your handset.

Galaxy S Series

S24, S24 Plus and S24 Ultra
S23, S23 Plus and S23 Ultra
S22, S22 Plus and S22 Ultra

Galaxy Z Series

Galaxy Z Fold 5 and Z Fold 4
Galaxy Z Flip 5 and Z Flip 4

Galaxy Tab Series

Tab S9, Tab S9 Plus and Tab S9 Ultra
Tab S8, Tab S8 Plus and Tab S8 Ultra

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