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

Yes. StudyPug covers every Algebra I topic in the North Dakota Content Standards - from solving linear equations and graphing systems to working with functions and interpreting data - so students can find exactly the lesson they need when homework gets difficult.

How long are the video lessons for Algebra I?

Most Algebra I video lessons run between 5 and 15 minutes, keeping each concept focused and manageable. Students can pause, rewind, and rewatch as many times as they need until the idea clicks.

Is there a North Dakota state test for High School Algebra I?

North Dakota uses the NDSA for statewide assessments, but high school Algebra I is not a required NDSA testing year. Algebra I content may appear on other course-level or college readiness assessments your student takes during high school.

Can my child use StudyPug on a tablet or phone?

Yes. StudyPug works on tablets, phones, laptops, and desktop computers. Your student can switch between devices and pick up exactly where they left off, making it easy to study at home or on the go.

Can I try StudyPug before paying?

Yes. StudyPug offers free sample lessons so you can see how the content works before committing. All paid plans also come with a 30-day money-back guarantee, so there is no risk in getting started.

ND High School Algebra I Curriculum

Give your student the support they need in Algebra I. Our lessons and practice problems follow the North Dakota Content Standards so every topic matches what is taught in class.

ND High School Algebra I Curriculum

IDStandardStudyPug Topic

CC.HSA.CED.A.1Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
- Introduction to linear equations
- Solving rational equations
- Solving exponential equations using exponent rules
CC.HSA.CED.A.2Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
- Slope intercept form: y = mx + b
- Graphs of rational functions
- Applications of rational equations
- Simplifying complex fractions
- Partial fraction decomposition
CC.HSA.CED.A.3Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context.
- Determining number of solutions to linear equations
- Linear programming word problems
- Graphing reciprocals of linear functions
- Graphing reciprocals of quadratic functions
CC.HSA.CED.A.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)
- Graphing quadratic inequalities in two variables
- Graphing systems of quadratic inequalities
CC.HSA.REI.A.1Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
- Combination of both parallel and perpendicular line equations
- Applications of inequalities
- What is linear programming?
CC.HSA.REI.B.3Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
- Solving one-step linear inequalities
- Solving multi-step linear inequalities
- Converting radicals to mixed radicals
- Converting radicals to entire radicals
- Adding and subtracting radicals
CC.HSA.REI.C.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.
- Shortcut: Vertex formula
- Graphing quadratic functions: General form VS. Vertex form
- Finding the quadratic functions for given parabolas
CC.HSA.REI.C.6Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
- Solving systems of linear equations by elimination
- System of linear equations
CC.HSA.REI.D.10Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
- Solving systems of linear equations by graphing
- Solving a linear system with matrices using Gaussian elimination
- The determinant of a 2 x 2 matrix
- The determinant of a 3 x 3 matrix (General & Shortcut Method)
CC.HSA.REI.D.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); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.
- Graphing linear functions using table of values
- Graphing exponential functions
- Graphing logarithmic functions
- The inverse of 3 x 3 matrices with matrix row operations
- The inverse of 3 x 3 matrix with determinants and adjugate
CC.HSA.REI.D.12Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
- Inequalities of combined functions
- Graphing linear inequalities in two variables
- Graphing systems of linear inequalities
- 2 x 2 invertible matrix
- Solving linear systems using Cramer's Rule
CC.HSA.SSE.A.1Interpret expressions that represent a quantity in terms of its context.
- What is a polynomial?
- Applications of linear equations
CC.HSA.SSE.A.2Use the structure of an expression to identify ways to rewrite it.
- Polynomial components
- Simplifying rational expressions and restrictions
- Applications of polynomials
- Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
CC.HSA.SSE.B.3Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
- Common factors of polynomials
- Adding and subtracting rational expressions
- Evaluating polynomials
- Using algebra tiles to factor polynomials
- Solving polynomial equations
CC.HSA.APR.A.1Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
- Multiplying binomial by binomial
- Multiplying polynomial by polynomial
- Polynomial functions
- Factoring trinomials
- Factoring difference of cubes
- Factoring sum of cubes
CC.HSA.APR.B.3Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.
- Factoring polynomials: x^2 + bx + c
- Characteristics of polynomial graphs
- Factor theorem
- Rational zero theorem
CC.HSN.RN.A.1Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents.
- Convert between radicals and rational exponents
- Exponents: Product rule (a^x)(a^y) = a^(x+y)
- Exponents: Division rule: a^x / a^y = a^(x-y)
- Exponents: Power rule: (a^x)^y = a^(xy)
- Exponents: Negative exponents
- Exponents: Zero exponent: a^0 = 1
- Exponents: Rational exponents
CC.HSN.RN.A.2Rewrite expressions involving radicals and rational exponents using the properties of exponents.
- Solving for exponents
- Operations with radicals
- Conversion between entire radicals and mixed radicals
- Converting radicals to mixed radicals
- Converting radicals to entire radicals
- Adding and subtracting radicals
- Multiplying and dividing radicals
- Rationalize the denominator
- Evaluating and simplifying radicals
CC.HSF.IF.A.1Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
- Domain and range of a function
- Function notation (advanced)
- Identifying functions
CC.HSF.IF.A.2Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
- Function notation
- Difference quotient: applications of functions
CC.HSF.IF.B.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.
- Word problems of graphing linear functions
- Characteristics of quadratic functions
- Relationship between two variables
- Understand relations between x- and y-intercepts
- Combining transformations of functions
- 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
CC.HSF.IF.B.5Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.
- Point of discontinuity
- Even and odd functions
CC.HSF.IF.B.6Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.
- Rate of change
- Direct variation
CC.HSF.IF.C.7Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
- Graphing linear functions using a single point and slope
- Graphing quadratic functions: General form VS. Vertex form
- Graphing exponential functions
- Graphing logarithmic functions
- Graphing from slope-intercept form y=mx+b
- Graphing transformations of exponential functions
- Graphing transformations of logarithmic functions
- Sine graph: y = sin x
- Cosine graph: y = cos x
- Tangent graph: y = tan x
- Cotangent graph: y = cot x
- Secant graph: y = sec x
- Cosecant graph: y = csc x
CC.HSF.IF.C.9Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
- Parallel and perpendicular lines in linear functions
- Graphs of rational functions
- Inequalities of combined functions
CC.HSF.BF.A.1Write a function that describes a relationship between two quantities.
- Applications of linear relations
- Finding an exponential function given its graph
- Finding a logarithmic function given its graph
CC.HSF.BF.A.2Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.
- Arithmetic sequences
- Geometric sequences
- Arithmetic series
- Geometric series
- Infinite geometric series
CC.HSF.BF.B.3Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology.
- Transformations of quadratic functions
- Transformations of functions: Horizontal translations
- Transformations of functions: Vertical translations
CC.HSF.LE.A.1Distinguish between situations that can be modeled with linear functions and with exponential functions.
- Introduction to nonlinear equations
- Solving exponential equations using exponent rules
- Exponential decay: Half-life
- Exponential growth and decay by percentage
CC.HSF.LE.A.2Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
- Graphing linear functions using table of values
CC.HSF.LE.A.3Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.
- Parallel line equation
- Quadratic function in general form: y = ax^2 + bx + c
CC.HSF.LE.B.5Interpret the parameters in a linear or exponential function in terms of a context.
- Exponential growth and decay by a factor
- Finance: Compound interest
- Continuous growth and decay
- Logarithmic scale: Richter scale (earthquake)
- Logarithmic scale: pH scale
- Logarithmic scale: dB scale
- Finance: Future value and present value
CC.HSA.REI.B.4Solve quadratic equations in one variable.
- Solving quadratic equations by factoring
- Solving quadratic equations by completing the square
- Using quadratic formula to solve quadratic equations
- Multiplying and dividing radicals
- Rationalize the denominator
CC.HSA.REI.C.7Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically.
- System of linear-quadratic equations
- Nature of roots of quadratic equations: The discriminant
- Applications of quadratic equations
- Solving quadratic inequalities
CC.HSF.IF.C.8Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
- Slope intercept form: y = mx + b
- General form: Ax + By + C = 0
- Point-slope form: y - y_1 = m(x - x_1)
- Converting from general to vertex form by completing the square
- Adding functions
- Subtracting functions
- Multiplying functions
- Dividing functions
- Operations with functions
CC.HSS.ID.A.1Represent data with plots on the real number line (dot plots, histograms, and box plots).
- Reading and drawing histograms
- Box-and-whisker plots and scatter plots
- Frequency tables and dot plots
- Frequency distribution and histograms
CC.HSS.ID.A.2Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.
- Median and mode
- Mean
- Range and outliers
- Center of a data set: mean, median, mode
- Spread of a data set - standard deviation & variance
CC.HSS.ID.A.3Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).
- Application of averages
- Shapes of distributions
CC.HSS.ID.B.6Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
- Reading and drawing line graphs
- Bivariate, scatter plots and correlation
CC.HSS.ID.C.7Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.
- Slope intercept form: y = mx + b
- Rate of change
- Regression analysis

Algebra I

About High School North Dakota Algebra I

North Dakota high school math follows the North Dakota Content Standards, structured around algebraic reasoning, functions, and data analysis. In Algebra I, students work through creating and solving equations and inequalities, understanding linear and exponential functions, graphing and interpreting systems of equations, operating with polynomials, and analyzing statistical data including scatter plots and correlation. StudyPug provides step-by-step video lessons and practice problems for every strand in the course.

Strands: equations and inequalities, systems of equations, functions, polynomials and exponents, and statistics and data analysis
Video lessons for every Algebra I topic, aligned to North Dakota Content Standards
Practice problems with instant feedback for each strand
Progress tracking so students and parents can see exactly where help is needed

Curriculum topics by strand

Browse Algebra I lessons and practice problems organized by strand and aligned to the North Dakota Content Standards.

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North Dakota High School Algebra I Topics

Equations and Inequalities: Creating and solving linear, quadratic, and exponential equations and inequalities in one variable; rearranging formulas; justifying solution steps.
Systems of Equations and Inequalities: Solving systems of linear equations algebraically and graphically; representing constraints with systems of inequalities; graphing solution sets as intersections of half-planes.
Functions: Understanding function notation and domain and range; interpreting key features of graphs and tables; calculating average rate of change; writing functions and sequences; identifying graph transformations.
Linear and Exponential Functions: Distinguishing linear from exponential models; constructing linear and exponential functions from graphs, tables, and descriptions; interpreting parameters in context.
Polynomials and Rational Exponents: Adding, subtracting, and multiplying polynomials; factoring to identify zeros; rewriting expressions with radicals and rational exponents.
Statistics and Data Analysis: Representing data with dot plots, histograms, and box plots; comparing center and spread; interpreting scatter plots and linear models; computing and interpreting correlation coefficients; distinguishing correlation from causation.

How StudyPug Helps North Dakota High School Algebra I Students

When a student gets stuck on graphing a system of inequalities or factoring a polynomial, StudyPug gives them a clear, step-by-step video lesson they can watch as many times as needed. Practice problems follow each lesson so students can confirm they understand before moving on.

Every topic is organized to match the North Dakota Content Standards for Algebra I, meaning students spend their time on exactly the material their teacher covers - whether that is interpreting a linear model's slope in a real-world context or solving a quadratic equation using multiple methods.

Aligned to North Dakota High School Algebra I Curriculum

StudyPug's Algebra I content is built around the North Dakota Content Standards, covering all the major strands - equations and inequalities, functions, systems, polynomials, and data analysis - so students are always practicing what their school curriculum requires.

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Written by the StudyPug Math Team

Last updated June 5, 2026

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