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Home » Skills » Pre-Algebra

Pre Algebra Worksheets

Pre-algebra includes math skills that help students prepare for algebra without jumping straight into solving equations. Students work with number structure, patterns, and representations that support multi-step thinking and problem solving.

Exponents & PowersIntegersScientific NotationSquare Roots and Radicals

Printable subtracting integers on a number line worksheet. Black-and-white math page with bold title, simple directions, and eight integer subtraction problems, each paired with its own number line for showing work.

Subtracting Integers on a Number Line Worksheet

6th Grade7th Grade8th Grade

Subtracting IntegersIntegersPre-Algebra

Printable subtracting integers worksheet focused on rewriting subtraction as addition using the keep change change strategy (add the opposite). Black-and-white math page with a bold “Subtracting Integers” title, short directions, and three labeled practice sections that move from rewriting only to rewriting and simplifying. Integer subtraction problems include positives, negatives, and parentheses, with plenty of space for student work and Superthink.co branding at the bottom.

Subtracting Integers Worksheet: Rewrite as Addition

6th Grade7th Grade8th Grade

Subtracting IntegersIntegersPre-Algebra

Dividing radicals with variables worksheet with 16 problems in two columns, asking students to divide square roots such as 𝑥 4 ÷ 𝑥 2 x 4 ​ ÷ x 2 ​ , 16 𝑥 2 ÷ 4 𝑥 16x 2 ​ ÷ 4x ​ , 72 𝑥 2 ÷ 8 𝑥 72x 2 ​ ÷ 8x ​ , 48 𝑥 3 ÷ 3 𝑥 48x 3 ​ ÷ 3x ​ , and 200 𝑥 6 ÷ 8 𝑥 2 200x 6 ​ ÷ 8x 2 ​ , then simplify to simplest radical form (variables are positive real numbers).

Dividing Radicals with Variables Worksheet

7th Grade8th Grade

Radical OperationsPre-AlgebraSquare Roots and Radicals

Multiplying radicals with variables worksheet with 16 problems in two columns, asking students to multiply square roots such as 𝑥 ⋅ 𝑥 x ​ ⋅ x ​ , 5 𝑥 ⋅ 20 𝑥 5x ​ ⋅ 20x ​ , 6 𝑥 ⋅ 24 𝑥 6x ​ ⋅ 24x ​ , 7 𝑥 ⋅ 28 𝑥 3 7x ​ ⋅ 28x 3 ​ , and 𝑥 5 ⋅ 𝑥 x 5 ​ ⋅ x ​ , then simplify to simplest radical form (variables are positive real numbers).

Multiplying Radicals with Variables Worksheet

7th Grade8th Grade

Radical OperationsPre-AlgebraSquare Roots and Radicals

Simplifying radicals with variables worksheet with 16 problems in two columns, asking students to simplify expressions like √x², √25x², √x⁴, √36x², √x³, √x⁸, √x¹⁰, √49x⁴, √4x³, √x¹², √64x⁸, √81x², √9x⁵, √100x⁴, √x⁷, and √121x⁶, assuming variables are positive real numbers.

Simplifying Radicals with Variables Worksheet

6th Grade7th Grade8th Grade

Simplifying RadicalsPre-AlgebraSquare Roots and Radicals

Free simplifying radicals worksheet with 16 problems in two columns, asking students to simplify square roots such as √50, √12, √75, √32, √18, √98, √24, √72, √27, √80, √45, √20, √108, √48, √63, and √200, with space to write answers.

Simplifying Radicals Worksheet

6th Grade7th Grade8th Grade

Simplifying RadicalsPre-AlgebraSquare Roots and Radicals

Adding integers with different signs worksheet showing positive and negative integer addition practice for pre-algebra students.

Adding Integers with Different Signs

6th Grade7th Grade8th Grade

Adding IntegersIntegersPre-Algebra

Adding integers with the same sign worksheet showing positive and negative integer addition practice for pre-algebra students.

Adding Integers with the Same Sign Worksheet

6th Grade7th Grade8th Grade

Adding IntegersIntegersPre-Algebra

Printable worksheet with multi-variable expressions using negative exponents, including one-variable practice, multi-variable problems, and challenge expressions for simplifying with positive exponents only.

Multi-Variable Expressions with Negative Exponents Worksheet

6th Grade7th Grade8th Grade

Pre-AlgebraExponents & PowersNegative Exponents

Printable solving expressions with negative exponents worksheet, where students rewrite expressions using positive exponents only.

Solving Expressions with Negative Exponents Worksheet

6th Grade7th Grade8th Grade

Negative ExponentsExponents & PowersPre-Algebra

Printable rewriting expressions with negative exponents worksheet where students move numbers across fractions and rewrite powers using positive exponents only.

Rewriting Expressions with Negative Exponents Worksheet

6th Grade7th Grade8th Grade

Negative ExponentsExponents & PowersPre-Algebra

Dividing exponents worksheet using the quotient of powers rule with same-base problems, zero exponents, negative exponents, and mixed-variable expressions.

Dividing Exponents Using Quotient of Powers Rule

6th Grade7th Grade8th Grade

Laws & Rules of ExponentsExponents & PowersPre-Algebra

Printable multiplying exponents worksheet using the product of powers rule, with same-base problems, zero exponent cases, and grouped expressions with parentheses.

Multiplying Exponents Using the Product of Powers Rule

6th Grade7th Grade8th Grade

Laws & Rules of ExponentsExponents & PowersPre-Algebra

Free square root worksheet with 20 perfect square problems from 1 to 20.

Know Your Roots: Perfect Square Root Worksheet 1-20

6th Grade7th Grade8th Grade

Perfect SquaresPre-AlgebraSquare Roots and Radicals

Free Perfect Square Root Chart (1–20) showing multiplication, exponent, and square root form—perfect for middle school and algebra prep.

Free Perfect Square Root Chart

6th Grade7th Grade8th Grade

Perfect SquaresPre-AlgebraSquare Roots and Radicals

Image of an adding and subtracting scientific notation worksheet with 10 problems requiring students to add or subtract numbers written in scientific notation, including both like and unlike exponents.

Free Adding and Subtracting Scientific Notation Worksheet

6th Grade7th Grade8th Grade

Scientific NotationPre-Algebra

An image of a scientific notation worksheet with 10 problems converting standard numbers to scientific notation and 10 problems converting scientific notation to standard form.

Master the Switch: Free Standard to Scientific Notation Worksheet

6th Grade7th Grade8th Grade

Scientific NotationPre-Algebra

Scientific notation worksheet with problems comparing numbers in scientific notation and standard form using , or =, and problems ordering scientific notation values from least to greatest.

Scientific vs Standard Form – Scientific Notation Worksheet

6th Grade7th Grade8th Grade

Scientific NotationPre-Algebra

Printable adding and subtracting integers practice worksheet with 36 problems involving positive and negative numbers. Designed for 6th and 7th grade math students to build fluency with integer operations.

Adding and Subtracting Integers Practice

6th Grade7th Grade8th Grade

IntegersAdding Integers

An adding and subtracting integers math maze worksheet printable that requires students to find the correct path by solving problems accurately.

Free Adding and Subtracting Integers Math Maze Worksheet

6th Grade7th Grade8th Grade

IntegersAdding Integers

An exponents of 10 worksheet where the student needs to fill in the box with the appropriate exponent or power.

New Exponents of 10 Worksheet

5th Grade

Exponents & PowersPowers of 10

A free, printable exponents worksheet with three sections: (1) a table for base, exponent, expanded form, and value; (2) rewriting multiplication expressions using exponents; and (3) solving simple exponential expressions.

Easy Understanding Exponents Worksheet

6th Grade

Exponents & Powers

Pre-algebra focuses on how numbers are organized and how math rules work together. Across the worksheets above, students practice skills like order of operations, integers, exponents, square roots, and writing numeric expressions. These skills help students understand why math works, not just how to follow steps.

As students progress, pre-algebra builds confidence with multi-step reasoning and careful thinking. This foundation supports later work with variables, equations, and algebraic relationships by helping students recognize structure and avoid common mistakes.

Learn More About Pre-Algebra

What is pre-algebra?

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Pre-algebra includes math skills that prepare students for algebra without focusing on solving equations. Students work with number structure, patterns, and rules that explain how math operations fit together.

These skills help students organize their thinking and understand why steps work, not just how to follow them.

Why is pre-algebra important?

▾

Pre-algebra builds the foundation students need before working with variables and equations. It helps students develop accuracy, attention to steps, and confidence with multi-step problems.

Strong pre-algebra skills reduce confusion later by helping students recognize structure and relationships in math.

When do students typically learn pre-algebra?

▾

Pre-algebra skills are often introduced in upper elementary and middle school. The timing can vary based on pacing and student readiness.

Many students work on pre-algebra concepts alongside other math topics as they transition toward algebra.

What are common challenges in pre-algebra?

▾

Students may rush through steps or rely on memorized rules without checking whether their work makes sense. Multi-step problems can also feel overwhelming if steps are not organized clearly.

Focusing on one idea at a time helps students avoid mistakes and build stronger habits.

Sources: Guidance on pre-algebra instruction is informed by organizations such as the National Council of Teachers of Mathematics and Khan Academy.

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