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Pre Algebra Homework Sheets

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Free Math Worksheets for Grade 7

This is a comprehensive collection of free printable math worksheets for grade 7 and for pre-algebra, organized by topics such as expressions, integers, one-step equations, rational numbers, multi-step equations, inequalities, speed, time & distance, graphing, slope, ratios, proportions, percent, geometry, and pi. They are randomly generated, printable from your browser, and include the answer key. The worksheets support any seventh grade math and pre-algebra programs, but have been specifically designed to match Math Mammoth grade 7 curriculum.


The worksheets are randomly generated each time you click on the links below. You can also get a new, different one just by refreshing the page in your browser (press F5).

You can print them directly from your browser window, but first check how it looks like in the "Print Preview". If the worksheet does not fit the page, adjust the margins, header, and footer in the Page Setup settings of your browser. Another option is to adjust the "scale" to 95% or 90% in the Print Preview. Some browsers and printers have "Print to fit" option, which will automatically scale the worksheet to fit the printable area.

All worksheets come with an answer key placed on the 2nd page of the file.

In seventh grade, students will study pre-algebra topics, such as integer arithmetic, simplifying expressions, the distributive property, and solving equations & inequalities. They continue studying ratio and percent and learn about proportions. Please note that these free worksheets do not cover all 7th grade topics; most notably, they do not include problem solving.


Introduction to algebra

The worksheets in this introductory section correspond with Math Mammoth Grade 7, Chapter 1, and don't involve negative numbers.

Order of operations


Expressions


Equations


Integers

Number line graphs and simple inequalities involving integers


Addition and subtraction


Multiplication & Division


Primary Grade Challenge Math by Edward Zaccaro

A good book on problem solving with very varied word problems and strategies on how to solve problems. Includes chapters on: Sequences, Problem-solving, Money, Percents, Algebraic Thinking, Negative Numbers, Logic, Ratios, Probability, Measurements, Fractions, Division. Each chapter’s questions are broken down into four levels: easy, somewhat challenging, challenging, and very challenging.



Many operations etc.


One-step equations


Rational numbers

Convert decimals to fractions and vice versa


Decimal Addition and Subtraction


Decimal Multiplication and division


Key to Decimals Workbooks

This is a workbook series by Key Curriculum Press that begins with basic concepts and operations on decimals. Then the books cover real-world uses of decimals in pricing, sports, metrics, calculators, and science.

The set includes books 1-4.

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Fraction addition and subtraction


Fraction multiplication and division


Key to Fractions Workbooks

These workbooks by Key Curriculum Press feature a number of exercises to help your child learn about fractions. Book 1 teaches fraction concepts, Book 2 teaches multiplying and dividing, Book 3 teaches adding and subtracting, and Book 4 teaches mixed numbers. Each book has a practice test at the end.

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Scientific notation


Complex fractions


Equations and inequalities


Key to Algebra Workbooks

Key to Algebra offers a unique, proven way to introduce algebra to your students. New concepts are explained in simple language, and examples are easy to follow. Word problems relate algebra to familiar situations, helping students to understand abstract concepts. Students develop understanding by solving equations and inequalities intuitively before formal solutions are introduced. Students begin their study of algebra in Books 1-4 using only integers. Books 5-7 introduce rational numbers and expressions. Books 8-10 extend coverage to the real number system.

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Constant speed, time, and distance


Graphing & Slope



Real World Algebra by Edward Zaccaro

Algebra is often taught abstractly with little or no emphasis on what algebra is or how it can be used to solve real problems. Just as English can be translated into other languages, word problems can be "translated" into the math language of algebra and easily solved. Real World Algebra explains this process in an easy to understand format using cartoons and drawings. This makes self-learning easy for both the student and any teacher who never did quite understand algebra. Includes chapters on algebra and money, algebra and geometry, algebra and physics, algebra and levers and many more. Designed for children in grades 4-9 with higher math ability and interest but could be used by older students and adults as well. Contains 22 chapters with instruction and problems at three levels of difficulty.

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Ratio


Proportions


Percent



Key to Percents Workbooks

Key to Percents first emphasizes mental computation and estimation skills--since most work with percents is done without pencil and paper. Then students are taught to solve percent problems using equal fractions and decimal multiplication. Finally, percents are used to solve word problems in a variety of applications. Key to Percents assumes only a knowledge of fraction and decimal computation. Book 1 covers Percent Concepts. Book 2 covers Percents and Fractions. Book 3 covers Percents and Decimals.

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Geometry

Area - these worksheets are done in the coordinate grid.


Volume & surface area

Since these worksheets below contain images of variable sizes, please first check how the worksheet looks like in print preview before printing. If it doesn't fit, you can either print it scaled (such as at 90%), or make another one by refreshing the worksheet page (F5) until you get one that fits.


Key to Geometry Workbooks

Here is a non-intimidating way to prepare students for formal geometry. Key to Geometry workbooks introduce students to a wide range of geometric discoveries as they do step-by-step constructions. Using only a pencil, compass, and straightedge, students begin by drawing lines, bisecting angles, and reproducing segments. Later they do sophisticated constructions involving over a dozen steps-and are prompted to form their own generalizations. When they finish, students will have been introduced to 134 geometric terms and will be ready to tackle formal proofs.

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Circle & Pi



If you wish to have more control on the options such as number of problems or font size or spacing of problems, or range of numbers, just click on these links to use the worksheet generators yourself:



Pre-Algebra Worksheets

The pre-algebra worksheets provide simple number sentences in the form of equations with missing values, and the students fill in the answer. This step of introducing equations without variables can be a gentle first step into the world of finding missing values using algebraic manipulations.

Addition Pre-Algebra Problems


12 Pre-Algebra Worksheets

This is the gentlest introduction to algebra you'll find anywhere! Students are given an addition number sentence (an equation) with a missing value (in lieu of a variable) that they must find.

Addition Pre-Algebra Problems

Subtraction Pre-Algebra Problems


24 Pre-Algebra Worksheets

Simile to the addition worksheets in the previous section, these pre-algebra subtraction worksheets require students to find missing values in subtraction number sentences without variable notation.

Subtraction Pre-Algebra Problems

Mixed Addition and Subtraction Problems


12 Pre-Algebra Worksheets

The pre-algebra worksheets in this section contain a mix the sort of addition and subtraction problems from the previous two pages; great for budding 3rd grade mathemeticians!

Mixed Addition
and Subtraction Problems

Multiplication Pre-Algebra Problems


Division Pre-Algebra Problems


12 Pre-Algebra Worksheets

Pre-algebra worksheets where students solve for the missing value in easy division problems.

Division Pre-Algebra Problems

Mixed Multiplication and Division Problems


Mixed Operation Pre-Algebra Problems


12 Pre-Algebra Worksheets

These pre-algebra worksheets require solving for the missing value in addition, subtraction, division and multiplication number sentences.

Mixed Operation Pre-Algebra Problems

Printable Pre-Algebra Worksheets

Before we introduce that dreaded variable x into the lives our young students, we can take one more pass through conventional arithmetic with these pre-algebra worksheets!

Equations Are Just Number Sentences with an Equals

At it's simplest, solving algebra problems involves figuring out some unknown value in a number sentence with an equal sign, more formally known as an equation. These worksheets provide simple number sentences that are missing a value and kids will need to figure out what the value is using their existing knowledge of the basic math operations.

The next step after this is to simply introduce variables instead of blank spaces in the equation. But this gentle introduction where we use an answer line instead of a variable is an excellent bridge tool before taking that leap into full algebraic notation.

Pre-ALgebra Worksheets for all the Operations

On this page you will find printable pre-algebra worksheets that have basic problems for addition, subtraction, multiplication and division, as well as worksheets with various combinations of the operators.

These worksheets can be introduced as part of the process of learning basic math facts, or as a lead-in to algebra topics in 5th grade or 6th grade.

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