7 Foundational Algebra Worksheets – The TPT Blog

132

Whether your high schoolers are reviewing algebra basics or learning important math skills for the first time, having the right resources in your curriculum makes all the difference. Low-prep activities and worksheets make algebra feel intuitive — and dare we say, fun?

Use these well-crafted algebra practice worksheets to reinforce algebraic expressions, quadratic functions, factoring polynomials, and more. You’ll find them useful for anything from homework assignments to in-class math activities.

Start with algebraic expressions

Once your algebra students have worked through pre-algebra worksheets, it’s time to revisit algebraic expressions. Aligned to the Algebra Common Core State Standards, these algebra worksheets are straightforward ways to assess how much your math students already know.

Practice algebraic expressions and operations

Could your high schoolers use more review with one and two-step equations? Use algebra practice worksheets to introduce or reinforce different types of algebraic expressions.

One and Two Step Equations Worksheets and Notes for High School Algebra 1 
By Lindsay Bowden – Secondary Math
Grades: 8th-10th
Standards: CCSS HSA-REI.B.3

With guided notes, worksheets, and practice problems, this Algebra 1 worksheet takes students through a number of equations. It includes fractions, negatives, decimals, and variables on both sides, along with answer keys for each assignment.

Combine art and algebra with a color-by-number worksheet

For students who need more practice simplifying rational expressions, a math coloring page can help remove the pressure and stress of solving challenging problems. It also makes a beautiful classroom display when students complete the activity!

Operations With Rational Expressions Color By Number Activity
By Fun with Algebra
Grades: 9th-12th
Standards: CCSS HSA-APR.D.6, D.7

High schoolers solve 10 problems with rational expressions, including simplifying, multiplying, and dividing expressions. They use the solutions to color in a picture of a giraffe, which lets them easily check their answers.

Focus on factoring polynomials

After students review algebraic expressions, focus on factoring polynomials. Breaking down polynomials is an important skill for more complex algebraic concepts to come, including understanding polynomial functions and identifying zeros of polynomials.

Guide students through trinomial factoring with classic challenges

Factoring doesn’t have to be dizzying! Show students how straightforward factoring polynomials can be with an algebra worksheet that combines the math concept with a simple, classic activity, like a maze. Adding a bit of competition (even with themselves!) can help engage high schoolers. 

Use quizzes for assessment at the start and end of polynomial units

Challenge 8th graders or review with 9th graders by handing out a practice quiz on adding, subtracting, and multiplying polynomials. Let students choose their preferred difficulty level, or assign the right level to students who are either struggling or could use an extra challenge.

Polynomials Adding Subtracting Multiplying Differentiated Leveled Practice Quiz
By Algebra Made Simple
Grades: 9th
Standards: CCSS HSA-APR.A.1

Complete with an answer key and differentiated versions of the practice test, this no-prep resource makes a great mid-unit assessment or algebra entrance quiz. The algebra worksheet comes with guided notes for students to review before they begin the assignment.

Lay the foundation for linear equations

Based on Common Core State Standards for Math, high schoolers should be able to solve and graph linear equations by the end of their algebra class. Use algebra practice worksheets to boost their understanding of linear equations, systems of linear equations, and how to represent linear equations on a graph.

Match slope-intercept form linear equations with graphs

Teach students to represent a straight line with the most common form of linear equations: slope-intercept. Learning the slope-intercept y = mx +b structure helps students make the connection between linear equations and their graphs.

Graphing Linear Equations in Slope Intercept Form Matching Activity
By Algebra Accents
Grades: 7th-10th

Can your high schoolers match slope-intercept form linear equations with their graphs? Test their understanding with 24 linear equations and graphs for students to pair. The resource also comes with an answer key for easy assessment. 

Bring linear equations to your daily practice

Teaching algebraic concepts shouldn’t be a one-and-done type of lesson. Incorporate linear equations and other algebra skills into daily practice as warm-ups, bell ringers, or exit tickets to check for understanding each day.

Quell concerns about quadratic functions

Could your high schoolers use more practice with quadratic functions? Find everything you’re looking for to reinforce Common Core State Standards for functions, including algebra worksheets for multiple grade levels, guided notes activities, and explorations into parent functions.

Are your students ready to take their polynomial practice to the next level? Use algebra worksheets aligned to Common Core State Standards for functions to review parent functions, parabolas, and quadratic function transformations.

Identify and graph quadratic functions

In order to graph quadratics, students need to understand what quadratic functions really are. Focus on getting to the features and characteristics of quadratic functions before putting them on a graph, and help students build foundational algebraic knowledge that will carry them through the next steps.

Graphing Quadratics and Key Features of Quadratic Functions Worksheet Algebra 1
By mrscasiasmath
Grades: 8th-11th
Standards: CCSS HSF-IF.B.4, B.5, C.7a

With an easier and a harder version of the assignment, this algebra practice worksheet enables you to meet algebra students where they currently are. The easier version includes more skills-based problems, while the harder version focuses on word problems and problem-solving skills. Each comes with a separate answer key to keep grading easy.

Deepen algebraic knowledge by studying parent functions

Take your quadratic function lesson down to the basics when you focus on transformations of parent functions. Once algebra students understand the simplest function at the foundation of quadratics, they’ll learn how transformations alter the qualities of a parabola — and why.

Identifying Transformations of Parent Functions Worksheets for Algebra 2
By Math with Ms. Rivera
Grades: 10th-11th
Standards: CCSS HSF-BF.B.3

Equipped with multiple types of printable worksheets and answer keys, this no-prep resource is a solid way to both guide and challenge Algebra 2 students. Students use graph and equation worksheets to identify parent functions in an assignment that makes a great homework or group activity.

Bring quadratic functions to the real world

Tired of hearing “How will we use algebra in real life?” Show your students exactly how quadratic functions work in the real world. Apply the concepts they’ve learned in the classroom to activities they see every day, and watch young mathematicians become scientists in one class period.

Applications of Quadratic Functions – Modeling Real World Problems Guided Notes
By Eddie McCarthy
Grades: 7th-12th
Standards: CCSS HSA-SSE.B.3b; HSA-CED.A.3; HSA-REI.B.4b; HSF-IF.B.5, C.7

This engaging algebra practice worksheet incorporates interdisciplinary topics with important quadratic function skills. With five pages of guided notes and a two-page assignment, the resource applies quadratic functions to three different projectile motion functions and discusses profit and cost functions in economics.

Make algebra easy to understand and fun with TPT

Struggling math students and algebra enthusiasts alike want their curriculum to be interesting. Get past rows of equations and into engaging activities with high school algebra worksheets that provide opportunities to review algebra concepts and push math skills even further. And for infinite fun, check out a collection of ideas for Pi Day activities for an upcoming 3/14 celebration!