Will this help with my child's High School Algebra I homework?

Yes. StudyPug covers every Algebra I topic in the California Mathematics Standards, from solving linear equations to interpreting functions, so your child can find step-by-step help for whatever problem they are working on tonight.

How long are the video lessons?

Most Algebra I video lessons run between five and fifteen minutes, focusing on one concept at a time. Students can pause, rewind, and re-watch as often as they need before moving on to practice problems.

Is there a California state test for High School Algebra I?

Yes. California students take the CAASPP assessment, which includes math testing aligned to the California Mathematics Standards. Algebra I content appears in the high school math assessments, so strong Algebra I skills support your child's CAASPP performance.

Can my child use StudyPug on a tablet or phone?

Yes. StudyPug works on tablets, phones, laptops, and desktops, so your child can access Algebra I lessons and practice problems at home, at school, or on the go without any special software.

Can I try StudyPug before paying?

Yes. StudyPug offers free sample lessons so you can explore Algebra I content before committing. Every paid plan also comes with a 30-day money-back guarantee if you are not satisfied.

CA High School Algebra I Curriculum

Give your high schooler the support they need in Algebra I. Our lessons and practice problems follow the California Mathematics Standards so every topic matches what their class is covering.

CA High School Algebra I Curriculum

IDStandardStudyPug Topic

CA.A1.N.RN.1Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents
- Convert between radicals and rational exponents
- Using exponents to describe numbers
- Exponent rules
- Order of operations with exponents
CA.A1.N.RN.2Rewrite expressions involving radicals and rational exponents using the properties of exponents
- Evaluating and simplifying radicals
- Quotient rule of exponents
- Power of a product rule
- Power of a quotient rule
- Power of a power rule
- Negative exponent rule
- Combining the exponent rules
- Scientific notation
- Solving for exponents
- Using exponents to solve problems
- Product rule of exponents
CA.A1.N.RN.3Explain why the sum or product of two rational numbers is rational; why the sum of a rational number and an irrational number is irrational
- Rational vs. Irrational numbers
- Converting repeating decimals to fractions
CA.A1.N.Q.1Use units as a way to understand problems and to guide the solution of multi-step problems
- Metric systems
- Conversions between metric and imperial systems
- Imperial systems
- Conversions involving squares and cubic
CA.A1.N.Q.2Define appropriate quantities for the purpose of descriptive modeling
- Applications of linear relations
- Rates
- Proportions
CA.A1.N.Q.3Choose a level of accuracy appropriate to limitations on measurement when reporting quantities
- Upper and lower bound
- Rounding numbers
CA.A1.A.SSE.1Interpret expressions that represent a quantity in terms of its context
- What is a polynomial?
CA.A1.A.SSE.2Use the structure of an expression to identify ways to rewrite it
- Common factors of polynomials
- Solving linear equations using multiplication and division
- Solving two-step linear equations: ax + b = c, x/a + b = c
- Solving linear equations using distributive property: a(x + b) = c
- Solving linear equations with variables on both sides
- Solving literal equations
CA.A1.A.SSE.3Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression
- Factoring polynomials: x^2 + bx + c
- Express linear inequalities graphically and algebraically
- Solving one-step linear inequalities
- Solving multi-step linear inequalities
- Compound inequalities
CA.A1.A.APR.1Understand that polynomials form a system analogous to the integers, namely, they are closed under certain operations
- Multiplying polynomial by polynomial
- Characteristics of polynomials
- Equivalent expressions of polynomials
- Adding and subtracting polynomials
- Multiplying and dividing monomials
- Multiplying polynomials by monomials
- Dividing polynomials by monomials
CA.A1.A.CED.1Create equations and inequalities in one variable and use them to solve problems
- Introduction to linear equations
- Special case of linear equations: Vertical lines
- Parallel line equation
- Perpendicular line equation
- Applications of linear equations
- Absolute value functions
- Solving absolute value equations
- Solving absolute value inequalities
CA.A1.A.CED.2Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales
- Graphing linear functions using table of values
CA.A1.A.CED.3Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options
- Determining number of solutions to linear equations
- Graphing linear inequalities in two variables
- Graphing quadratic inequalities in two variables
- Graphing systems of quadratic inequalities
- What is linear programming?
- Linear programming word problems
CA.A1.A.CED.4Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations
- Point-slope form: y - y_1 = m(x - x_1)
CA.A1.A.REI.3Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters
- Introduction to nonlinear equations
- Model and solve one-step linear equations: ax = b, x/a = b
- Solving two-step linear equations using addition and subtraction: ax + b = c
- Solving two-step linear equations using multiplication and division: x/a + b = c
- Solving two-step linear equations using distributive property: a(x + b) = c
CA.A1.A.REI.3.1Solve one-variable equations and inequalities involving absolute value, graphing the solutions and interpreting them in context
- Special case of linear equations: Horizontal lines
CA.A1.A.REI.4Solve quadratic equations in one variable using various methods
- Solving polynomial equations
- Solving quadratic equations by factoring
- Solving quadratic equations by completing the square
- Using quadratic formula to solve quadratic equations
- Nature of roots of quadratic equations: The discriminant
CA.A1.A.REI.5Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions
- Solving systems of linear equations by elimination
CA.A1.A.REI.6Solve systems of linear equations exactly and approximately, focusing on pairs of linear equations in two variables
- Solving systems of linear equations by graphing
CA.A1.A.REI.7Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically
- Solving systems of linear equations by substitution
- System of linear-quadratic equations
CA.A1.A.REI.10Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane
- Relationship between two variables
CA.A1.A.REI.11Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x)
- Graphing linear functions using x- and y-intercepts
CA.A1.A.REI.12Graph the solutions to a linear inequality in two variables as a half-plane, and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes
- Combination of both parallel and perpendicular line equations
- Graphing systems of linear inequalities
CA.A1.F.IF.1Understand that a function from one set (domain) to another set (range) assigns to each element of the domain exactly one element of the range
- Identifying functions
CA.A1.F.IF.2Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context
- Function notation
- Function notation (advanced)
- One to one functions
CA.A1.F.IF.3Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers
- Understand relations between x- and y-intercepts
- Arithmetic sequences
- Geometric sequences
CA.A1.F.IF.4For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship
- Graphing from slope-intercept form y=mx+b
- Understanding graphs of linear relationships
- Understanding tables of values of linear relationships
- Applications of linear relationships
CA.A1.F.IF.5Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes
- Domain and range of a function
CA.A1.F.IF.6Calculate and interpret the average rate of change of a function over a specified interval
- Rate of change
CA.A1.F.IF.7Graph functions expressed symbolically and show key features of the graph
- Graphing linear functions using a single point and slope
CA.A1.F.IF.8Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function
- Word problems of polynomials
- Adding functions
- Subtracting functions
- Multiplying functions
- Dividing functions
- Operations with functions
CA.A1.F.IF.9Compare properties of two functions each represented in a different way
- Parallel and perpendicular lines in linear functions
CA.A1.F.BF.1Write a function that describes a relationship between two quantities
- Slope intercept form: y = mx + b
CA.A1.F.BF.2Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms
- Using algebra tiles to factor polynomials
CA.A1.F.BF.3Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k
- Word problems of graphing linear functions
- Combining transformations of functions
- Transformations of functions: Horizontal translations
- Transformations of functions: Vertical translations
- Reflection across the y-axis: y = f(-x)
- Reflection across the x-axis: y = -f(x)
- Transformations of functions: Horizontal stretches
- Transformations of functions: Vertical stretches
- Even and odd functions
CA.A1.F.BF.4Find inverse functions
- General form: Ax + By + C = 0
- Inverse functions
CA.A1.F.LE.3Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function
- Evaluating polynomials
CA.A1.F.LE.6Apply quadratic functions to physical problems, such as the motion of an object under the force of gravity
- Applications of quadratic functions
CA.A1.S.ID.1Represent data with plots on the real number line (dot plots, histograms, and box plots)
- Misleading graphs
- Reading and drawing bar graphs
- Reading and drawing histograms
- Reading and drawing line graphs
- Box-and-whisker plots and scatter plots
- Reading and drawing Venn diagrams
- Stem and leaf plots
CA.A1.S.ID.2Use statistics appropriate to the shape of the data distribution to compare center and spread of two or more different data sets
- Critiquing data presentation
- Median and mode
- Mean
- Range and outliers
- Application of averages
CA.A1.S.ID.5Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data
- Advantages and disadvantages of different graphs
- Probability with Venn diagrams
CA.A1.S.ID.7Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data
- Slope equation: $m = \frac{y_2-y_1}{x_2- x_1}$
CA.A1.S.ID.8Compute (using technology) and interpret the correlation coefficient of a linear fit
- Probability

Algebra I

About High School California Algebra I

California high school math follows the California Mathematics Standards, organized around connected strands of algebraic reasoning. In Algebra I, students work across number systems and quantities, expressions and equations, functions, and statistics and data. StudyPug provides video lessons, step-by-step worked examples, and practice problems matched to each of these strands so students can move at their own pace alongside their class.

Strands covered: Number and Quantity, Expressions and Equations, Functions, and Statistics and Data
Video lessons with step-by-step explanations for every Algebra I topic
Practice problems and worked examples to build fluency and confidence
Content aligned to the California Mathematics Standards for Algebra I

Curriculum topics by strand

Find lessons and practice problems for every Algebra I strand, aligned to the California Mathematics Standards.

Topic includes:

Practice

Video

Quiz

Standard

StudyPug Topic

California High School Algebra I Topics

Number and Quantity: Rational exponents and their properties, rewriting radical and exponential expressions, understanding rational and irrational numbers, and using units and dimensional reasoning to guide multi-step problem solving.
Expressions and Equations: Interpreting and rewriting algebraic expressions, working with polynomials, creating and solving equations and inequalities in one or more variables, rearranging formulas, solving linear and quadratic equations, and solving systems of linear and quadratic equations both algebraically and graphically.
Functions: Understanding function notation, domain and range, and sequences; interpreting key features of graphs and tables; analyzing average rate of change; graphing and transforming linear, exponential, and quadratic functions; writing and comparing functions; and distinguishing linear from exponential growth.
Statistics and Data: Representing data with dot plots, histograms, and box plots; comparing distributions by center and spread; interpreting scatter plots and linear models; computing and interpreting correlation coefficients; and distinguishing correlation from causation.

How StudyPug Helps California High School Algebra I Students

When a student gets stuck on a concept like solving systems of equations or interpreting a linear model, StudyPug lets them find the exact topic, watch a clear video lesson, and then work through practice problems with step-by-step solutions. They are not waiting for the next class period to get unblocked.

Every lesson is built around the skills described in the California Mathematics Standards, so the examples and problem types students see on StudyPug reflect what their California teacher is assigning and what the CAASPP assessment tests.

Aligned to California High School Algebra I Curriculum

StudyPug Algebra I content is mapped directly to the California Mathematics Standards, covering the same strands - Number and Quantity, Expressions and Equations, Functions, and Statistics and Data - in the same depth that California schools require, so students practice exactly what their course demands.

Ready to put your High School Algebra I skills to the test?

Practice questions for every CA Algebra I topic - with instant feedback and step-by-step video solutions when you get stuck.

Start Practicing

Written by the StudyPug Math Team

Last updated June 5, 2026

3 M+

students

★★★★★

4.8 average

92%

improve grades