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Algebra 1

Michigan High School Algebra 1

Step-by-step video lessons and practice aligned to the Michigan High School curriculum

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Michigan High School Algebra 1 Help | StudyPugHelp

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ID

Standard

StudyPug Topic

CC.HSA.CED.A.1

Create 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.

CC.HSA.CED.A.2

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

CC.HSA.CED.A.3

Represent 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.

CC.HSA.CED.A.4

Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

CC.HSA.REI.A.1

Explain 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.

CC.HSA.REI.B.3

Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

CC.HSA.REI.C.5

Prove 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.

CC.HSA.REI.C.6

Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

CC.HSA.REI.D.10

Understand 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).

CC.HSA.REI.D.11

Explain 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.

CC.HSA.REI.D.12

Graph 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.

CC.HSA.SSE.A.1

Interpret expressions that represent a quantity in terms of its context.

CC.HSA.SSE.B.3

Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

CC.HSA.APR.A.1

Understand 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.

CC.HSA.APR.B.3

Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.

CC.HSN.RN.A.1

Explain 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.

CC.HSF.IF.A.1

Understand 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).

CC.HSF.IF.A.2

Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

CC.HSF.IF.B.5

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

CC.HSF.IF.B.6

Calculate 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.

CC.HSF.IF.C.9

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

CC.HSF.BF.A.2

Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.

CC.HSF.BF.B.3

Identify 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.

CC.HSF.LE.A.1

Distinguish between situations that can be modeled with linear functions and with exponential functions.

CC.HSF.LE.A.2

Construct 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).

CC.HSF.LE.A.3

Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.

CC.HSA.REI.C.7

Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically.

CC.HSS.ID.A.1

Represent data with plots on the real number line (dot plots, histograms, and box plots).

CC.HSS.ID.A.2

Use 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.

CC.HSS.ID.A.3

Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).

CC.HSS.ID.B.6

Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.

CC.HSS.ID.C.7

Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.
Complete Michigan High School Algebra 1 Coverage

LESSONS

171

VIDEOS

1085

PRACTICE

1851

MI ALIGNED

100%

Why Michigan Families Choose StudyPug for Algebra 1

Fully aligned to Michigan High School Algebra 1 standards, with practice that prepares students for high school assessments and college readiness.

Michigan Standards Aligned
Michigan Standards Aligned

Every lesson matches Michigan High School Algebra 1 learning standards and expectations

Prepares for Assessments
Prepares for Assessments

Practice questions mirror Michigan high school exams and build college-ready math skills

Taught by Certified Teachers
Taught by Certified Teachers

Real math teachers who know how to explain algebra clearly and build confidence

Step-by-Step Solutions
Step-by-Step Solutions

See the complete solution for every problem so your child understands the process

Trusted by 18,000+ MI families building math confidence building math confidence

Frequently Asked Questions

Everything your child needs to know about High School Algebra 1 with StudyPug

Is StudyPug aligned with the Michigan High School Algebra 1 curriculum?

Yes. Every lesson and practice problem is aligned to Michigan High School Algebra 1 standards. We cover all topics students learn in class—from linear equations and systems to quadratic functions, polynomials, exponential functions, and data analysis—matching what Michigan teachers expect students to master.

What topics are covered in High School Algebra 1?

We cover all core Algebra 1 topics: linear equations and inequalities, systems of equations, quadratic functions and factoring, polynomials, exponential and logarithmic functions, rational expressions, radicals and exponents, function transformations, sequences and series, matrices, and data analysis and statistics.

How does StudyPug help my High School child learn algebra?

Your child can snap a photo of any homework problem and get the exact video lesson that explains it. Certified teachers break down every concept step-by-step. Then they practice similar problems until concepts stick. You can track their progress and see where they need extra help.

Can my child use StudyPug independently?

Absolutely. High school students use StudyPug on their own for homework help and test prep. They search by photo or topic, watch lessons at their own pace, and practice until they master each concept. The adaptive system guides them to exactly what they need to work on next.

Does StudyPug prepare students for Michigan high school assessments?

Yes. Our practice problems mirror the types of questions students see on Michigan high school math assessments and build the skills needed for college-level math. Students who use StudyPug regularly report better test performance and higher grades in Algebra 1.

How much does StudyPug cost?

We offer flexible monthly and annual plans that give your child unlimited access to all Algebra 1 content plus every other math course from kindergarten through college. Many families find it more affordable than a single tutoring session. See current pricing when you get started.

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