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1Numbers
1. 1.1Squares and Square Roots
2. 1.2Cubic and cube roots
2Ratios and Proportions
1. 2.1Ratios
2. 2.2Rates
3. 2.3Proportions
3Percents
1. 3.1Percents, fractions, and decimals
4Measurement
1. 4.1Metric systems
2. 4.2Imperial systems
3. 4.3Conversions between metric and imperial systems
5Geometry
1. 5.1Pythagorean theorem
2. 5.2Introduction to volume
3. 5.3Scale diagrams
4. 5.4Similar triangles
5. 5.5Surface area and volume of prisms
6. 5.6Applications of pythagorean theorem
6Coordinate Graphs
1. 6.1Distance formula: d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ $(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}$
2. 6.2Midpoint formula: $M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)$ $M = (\frac{x _{1} + x _{2}}{2}, \frac{y _{1} + y _{2}}{2})$
7Solve Equations
1. 7.1Introduction to linear equations
2. 7.2Applications of linear equations
8Single-Variable Inequalities
1. 8.1Solving multi-step linear inequalities
2. 8.2Compound inequalities
9Absolute Value Equations and Inequalities
1. 9.1Solving absolute value equations
2. 9.2Solving absolute value inequalities
10Data and Graphs
1. 10.1Reading and drawing bar graphs
2. 10.2Reading and drawing histograms
3. 10.3Reading and drawing line graphs
4. 10.4Box-and-whisker plots and scatter plots
5. 10.5Stem-and-leaf plots
6. 10.6Reading and drawing Venn diagrams
11Number Sequences
1. 11.1Arithmetic sequences
2. 11.2Geometric sequences
3. 11.3Arithmetic series
4. 11.4Sigma notation
12Relations and Functions
1. 12.1Understand relations between x- and y-intercepts
2. 12.2Identifying functions
3. 12.3Function notations
13Direct and Inverse Variation
1. 13.1Relationship between two quantities
2. 13.2Understanding graphs of linear relationships
3. 13.3Direct variation
14Linear Functions
1. 14.1Slope equation: $m = \frac{y_2-y_1}{x_2- x_1}$ $m = \frac{y _{2} - y _{1}}{x _{2} - x _{1}}$
2. 14.2Slope-Y-intercept form: y = mx + b
3. 14.3General form: Ax + By + C = 0
4. 14.4Point-slope form: $y - y_1 = m (x - x_1)$ $y - y_{1} = m (x - x_{1})$
5. 14.5Applications of linear relations
6. 14.6Special case of linear equations: Horizontal lines
7. 14.7Special case of linear equations: Vertical lines
8. 14.8Parallel line equation
9. 14.9Perpendicular line equation
15Linear Inequalities
1. 15.1Express linear inequalities graphically and algebraically
2. 15.2Solving one-step linear inequalities
16Systems of Linear Equations
1. 16.1Determining number of solutions to linear equations
2. 16.2Solving systems of linear equations by graphing
3. 16.3Using elimination method to solve systems of equations
4. 16.4Using substitution method to solve systems of equations
5. 16.5Money related questions in linear equations
6. 16.6Unknown number related questions in linear equations
7. 16.7Distance and time related questions in linear equations
8. 16.8Rectangular shape related questions in linear equations
17Exponents
1. 17.1Exponent rules
2. 17.2Quotient rule of exponents
3. 17.3Power of a product rule
4. 17.4Power of a quotient rule
5. 17.5Power of a power rule
6. 17.6Negative exponent rule
7. 17.7Division law: ${a^x \over a^y}=a^{(x-y)}$ $\frac{a ^{x}}{a ^{y}} = a^{(x - y)}$
8. 17.8Multiplication law: $(a^x)(a^y)=a^{(x+y)}$ $(a^{x}) (a^{y}) = a^{(x + y)}$
9. 17.9Negative exponent
18Scientific Notation
1. 18.1Scientific notation
19Exponential Functions
1. 19.1Exponents: Power rule $(a^x)^y = a^{(x\cdot y)}$ $(a^{x})^{y} = a^{(x \cdot y)}$
2. 19.2Exponents: Zero exponent: $a^0 = 1$ $a^{0} = 1$
3. 19.3Exponents: Rational exponents
4. 19.4Graphing exponential functions
5. 19.5Graphing transformations of exponential functions
6. 19.6Finding an exponential function given its graph
7. 19.7Continuous growth and decay in exponential and logarithmic functions
20Monomials
1. 20.1Multiplying monomial by monomial
21Polynomials
1. 21.1Multiplying monomial by binomial
2. 21.2Multiplying binomial by binomial
3. 21.3Multiplying polynomial by polynomial
4. 21.4Using algebra tiles to factor polynomials
22Factoring
1. 22.1Common factors of polynomials
2. 22.2Factoring polynomials by grouping
3. 22.3Factoring polynomials: $x^2 + bx + c$ $x^{2} + b x + c$
4. 22.4Factoring polynomials: $ax^2 + bx + c$ $a x^{2} + b x + c$
5. 22.5Factoring perfect square trinomials: $(a + b)^2 = a^2 + 2ab + b^2$ $(a + b)^{2} = a^{2} + 2 ab + b^{2}$ or $(a - b)^2 = a^2 - 2ab + b^2$ $(a - b)^{2} = a^{2} - 2 ab + b^{2}$
6. 22.6Find the difference of squares: $(a - b)(a + b) = (a^2 - b^2)$ $(a - b) (a + b) = (a^{2} - b^{2})$
7. 22.7Factor theorem
23Quadratic Equations
1. 23.1Characteristics of quadratic functions
2. 23.2Transformations of quadratic functions
3. 23.3Converting from general form to vertex form by completing the square
4. 23.4Solving quadratic equations by factoring
5. 23.5Solving quadratic equations by completing the square
6. 23.6Using quadratic formula to solve quadratic equations
7. 23.7Nature of roots of quadratic equations: the discriminant
8. 23.8System of linear equations
9. 23.9System of linear-quadratic equations
24Functions: Linear, Quadratic, Exponential
1. 24.1Exponential growth and decay by a factor
2. 24.2Exponential decay: Half-life
3. 24.3Exponential growth and decay by percentage
25Absolute Value Functions
1. 25.1Absolute value functions
26Radical Expressions
1. 26.1Evaluating and simplifying radicals
2. 26.2Adding and subtracting radicals
3. 26.3Multiplying and dividing radicals
4. 26.4Rationalize the denominator
27Radical Functions and Equations
1. 27.1Solving radical equations
2. 27.2Square root of a function
3. 27.3Radical functions and transformations
28Rational Functions and Expressions
1. 28.1Long division in polynomial functions
2. 28.2Vertical asymptote
3. 28.3Horizontal asymptote
4. 28.4Slant asymptote
5. 28.5Adding and subtracting rational expressions
6. 28.6Multiplying rational expressions
7. 28.7Dividing rational expressions
8. 28.8Solving rational equations
9. 28.9Simplifying complex fractions
10. 28.10Partial fraction decomposition
29Piecewise Functions
1. 29.1Evaluating piecewise functions
2. 29.2Graphing piecewise linear functions
3. 29.3Graphing piecewise non-linear functions
30Trigonometry
1. 30.1Using sine ratio to calculate angles and sides (Sin = $\frac{o}{h})$ $\frac{o}{h})$
2. 30.2Using cosine ratio to calculate angles and sides (Cos = $\frac{a}{h}$ $\frac{a}{h}$ )
3. 30.3 Using tangent ratio to calculate angles and side (Tan = $\frac{o}{a} )$ $\frac{o}{a})$
4. 30.4Combination of SohCahToa questions
5. 30.5Word problems relating ladder in trigonometry
6. 30.6Word problems relating guy wire in trigonometry
7. 30.7Other word problems relating angles in trigonometry
31Set Theory
1. 31.1Set notation
2. 31.2Set builder notation
3. 31.3Intersection and union of 2 sets
4. 31.4Intersection and union of 3 sets
32Probability
1. 32.1Probability of independent events
2. 32.2Data collection
3. 32.3Fundamental counting principle
4. 32.4Permutations
5. 32.5Combinations
6. 32.6Probability with Venn diagrams
33Statistics
1. 33.1Probability
2. 33.2Influencing factors on data collection
3. 33.3Median and mode
4. 33.4Mean
5. 33.5Range and outliers
6. 33.6Application of averages
34Introduction to Matrices
1. 34.1Notation of matrices
2. 34.2Adding and subtracting matrices
3. 34.3Scalar multiplication
4. 34.4Matrix multiplication
5. 34.5The three types of matrix row operations

Description

What is Algebra 1?

Algebra 1 is a high school math course that teaches a variety of different topics such as functions, linear inequalities, probability, trigonometry, radical expressions, polynomials, factoring, equation solving, and much more! This course teaches foundations of mathematics that will be applied extensively in future math courses. This course is generally taken after Basic Algebra or Pre-Algebra, and before Algebra 2.

Algebra is a branch of mathematics that allows you to solve for unknown variables. It allows relationships to be expressed using mathematical equations rather than English words, which makes it easier to interpret. It is applied in various professional fields, including science, engineering, and economics.

Is Algebra 1 Hard?

For some people, this course may be easy and everything is easy to understand. For others, this course may be challenging and can lead to unnecessary stress. If you are one of the people that are having trouble learning algebra 1 and need help with algebra 1, or even if you understand algebra 1, StudyPug can be extremely beneficial for you! StudyPug is an online resource that contains the entire course in an organized website that is easy to use. On the website, you can find a list of topics with an algebra 1 tutorial for each topic that explains the concept through a video. After watching the video, you can tackle the large reserve of practice problems available on the website to really solidify that topic. The lessons and practice problems are extremely beneficial when preparing for algebra 1 tests because practice makes perfect! Because StudyPug is an online resource, it is always available and offers 24/7 help to you, so you can access it at anytime, anywhere in the world!

What Grade is Algebra 1?

Algebra 1 is a high school course that is generally taken in the ninth grade, but can be taken earlier or later depending on the student. Once you have taken basic algebra, the next course you should take is algebra 1. If you've completed basic algebra early, then you can take algebra 1 earlier than when most people take it.

How to Learn Algebra 1?

There is an abundance of resources available that can be used to learn algebra 1. If you are currently taking the course in school, going to classes would be a good place to start. If you aren't enrolled in the class, don't worry, there are other resources like algebra 1 textbooks (eg. Prentice Hall Algebra 1, Glencoe Algebra 1, Holt McDougal Algebra 1, McDougal Littell Algebra 1, Big Ideas Math Algebra 1). These textbooks should contain sufficient information to fully grasp the mathematics concepts taught in the course.

If you don't enjoy learning from textbooks and you aren't taking the class, you can learn algebra 1 through algebra 1 tutoring at your local tutoring center! Tutors will hold algebra 1 lessons for you, answer any questions you have regarding the course material, and demonstrate how to solve problems. Even if you are taking the course in school, algebra 1 tutors can help supplement your learning through private lessons where they can give you their full attention and help you with topics that you personally struggle with.

There are even resources that do not require you to step foot outside the comfort of your own home! StudyPug is a website that has everything you need to fully learn algebra 1. There are thousands of lessons, easy practice problems, and comprehensive step-by-step examples that teach you how to solve problems. StudyPug can help with algebra 1 exam preparation through our lessons and practice problems.

If there are concepts that you haven't fully mastered from previous math courses and need brushing up on, you can access all of these courses through the StudyPug website! Once you feel confident in this material, you can navigate right back to the algebra 1 website and pick up where you left off. Once you're comfortable with algebra 1, you can get a head start on future math courses through our website and impress your teacher next year!

FAQs

I'm taking Elementary Algebra. Is your Algebra 1 class same as my class?
Yes. Doesn't matter if you are taking Elementary Algebra, Algebra 1 or 9th grade math, our Algebra 1 lessons cover all you need to know for your class.
My class is using Glencoe Algebra 1. Is your Algebra 1 help right for me?
Of course! You will find any topics you see in your textbook here. We also have topics you will find in other algebra one textbooks, such as Holt McDougal Algebra 1 and Prentice Hall Algebra 1 too.
How does StudyPug help with my algebra 1 review?
One of the most effective ways is to do the algebra problems provided on StudyPug. We have a lot of algebra 1 practices on different topics for you. If you cannot solve a specific question or do not understand certain concepts, you can watch our online video lessons for help. You may also want to review the prerequisites courses such as Pre-Algebra and Basic Algebra, available on our site.
What are the prerequisites for Algebra 1?
A prerequisite for this course is either Pre-Algebra or Basic Algebra, and after you mastered Algebra 1, your follow up course should be either Algebra 2 or Geometry.

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Algebra 1 made completely easy!

1Numbers

2Ratios and Proportions

3Percents

4Measurement

5Geometry

6Coordinate Graphs

7Solve Equations

8Single-Variable Inequalities

9Absolute Value Equations and Inequalities

10Data and Graphs

11Number Sequences

12Relations and Functions

13Direct and Inverse Variation

14Linear Functions

15Linear Inequalities

16Systems of Linear Equations

17Exponents

18Scientific Notation

19Exponential Functions

20Monomials

21Polynomials

22Factoring

23Quadratic Equations

24Functions: Linear, Quadratic, Exponential

25Absolute Value Functions

26Radical Expressions

27Radical Functions and Equations

28Rational Functions and Expressions

29Piecewise Functions

30Trigonometry

31Set Theory

32Probability

33Statistics

34Introduction to Matrices

What is Algebra 1?

Is Algebra 1 Hard?

What Grade is Algebra 1?

How to Learn Algebra 1?

I'm taking Elementary Algebra. Is your Algebra 1 class same as my class?

My class is using Glencoe Algebra 1. Is your Algebra 1 help right for me?

How does StudyPug help with my algebra 1 review?

What are the prerequisites for Algebra 1?

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