flagMichigan

Math

Algebra 1

Michigan Algebra 1

Watch algebra videos, practice with equations, inequalities, and function problems

students image

My daughter went from struggling with equations to solving systems confidently in just 6 weeks with StudyPug's step-by-step videos.

Jennifer M.

pug

Why Choose StudyPug for Algebra 1

Trusted platform that builds strong algebra foundations

Search with Photo

Search with Photo

Upload Algebra 1 problems—AI searches and finds the right lesson teaching the concept

Expert Video Teaching

Expert Video Teaching

Certified teachers solve equations, systems, functions, and polynomials step-by-step

Track Progress

Track Progress

Visual progress tracking shows mastery and guides your child to Algebra 2 success

How Michigan Students Use StudyPug

1

Select Grade Level
Select Grade Level

Choose your Michigan grade (K-12) and current math topics.

2

Get Unstuck
Get Unstuck

Upload homework problems or browse curriculum-aligned lessons.

3

Practice & Master
Practice & Master

Work through similar problems until concepts stick.

4

See Results
See Results

Track progress and watch grades improve week by week.

Michigan Algebra 1 Help | Build Strong SkillsHelp

Print

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 Algebra 1 Coverage

Algebra 1 Lessons

172

Video Explanations

1085

Practice Problems

1770

Michigan Standards

100% Aligned

Why Michigan Families Choose StudyPug

M-STEP Prep

M-STEP Prep

Practice problems and lessons prepare your child for Michigan M-STEP assessments

Certified Teachers

Certified Teachers

Certified teachers with expertise in Michigan curriculum and state standards

Step-by-Step Solutions

Step-by-Step Solutions

Every problem includes detailed step-by-step solutions for complete understanding

Try Free

Success Stories

StudyPug helped my son raise his algebra grade from a C to an A- in one semester. The video lessons made everything click for him.

Robert K.

After two months with StudyPug, my daughter can solve quadratic equations independently. She's actually excited about math now.

Maria G.

Read More

Frequently Asked Questions

Everything you need to know about StudyPug for Michigan Algebra 1

Is StudyPug aligned with Michigan Learning Standards for Algebra 1?

Yes, StudyPug is 100% aligned with Michigan Learning Standards for Algebra 1, covering all required topics including equations, functions, polynomials, and data analysis.

How does StudyPug help with M-STEP preparation?

StudyPug provides practice problems and lessons that mirror M-STEP question formats, helping students build confidence and master Michigan assessment standards.

What topics are covered in Michigan Algebra 1?

StudyPug covers all Algebra 1 topics: linear and quadratic equations, systems, inequalities, functions, polynomials, exponents, radicals, sequences, and data analysis.

Can my child practice specific Algebra 1 topics they're struggling with?

Absolutely. Students can search for specific topics using our photo recognition tool or browse by chapter to focus on equations, functions, or any challenging concept.

Are the teachers in the videos certified?

Yes, all our instructors are certified teachers with expertise in algebra and experience teaching Michigan curriculum standards effectively.

How StudyPug Works
Join Today

Practice Smart, See Real Progress

Unlimited Targeted Practice
Unlimited Targeted Practice

10,000+ questions adjust to your exact skill level. Never run out of problems that challenge you.

Visual Progress Tracking
Visual Progress Tracking

See mastery percentage for every topic. Parents get weekly progress emails automatically.

Achievement System
Achievement System

Earn badges for consistency and improvement. Build learning streaks that motivate daily practice

Detailed Analytics
Detailed Analytics

Time spent, problems solved, concepts mastered. Identify exactly where more practice is needed.

Start Now For Free
student
CallToActionContent

End Math Struggles Today

Michigan standard-aligned help that actually works

Start Now For Free
mathImage