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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 program, but go especially well with IXL's 7th grade math 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

• Solve in the correct order: three or four operations with decimal numbers (round to two decimal digits)

Expressions

• Simplify expressions (by combining like terms; no negative numbers)
• Simplify expressions - no negative numbers (for example 4w + 2w or c · 3 · c · c · 7)

Equations

Integers

Number line graphs and simple inequalities involving integers

• Plot an inequality or write the inequality that matches the graph — numbers from −20 to 20
• Plot an inequality or write the inequality that matches the graph — numbers from −50 to 50
• Plot an inequality or write the inequality that matches the graph — numbers from −100 to 100

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.

• Simplify expressions (for example −6z + z − 5 or −7v³ · v²)

One-step equations

Rational numbers

Convert decimals to fractions and vice versa

Decimal Addition and Subtraction

• Add two decimals (easy) (includes negative decimals)
• Add two decimals (includes negative decimals)
• Add three decimals (easy) (includes negative decimals)
• Add decimals (challenge) (includes negative decimals)

Decimal Multiplication and division

• Multiply two decimals — mental math (includes negative decimals)
• Multiply three decimals — mental math (includes negative decimals)
• Multiply two decimals using the multiplication algorithm (includes negative decimals)

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.

Fraction addition and subtraction

7th Grade Resource Curriculum

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.

Scientific notation

• Write numbers in scientific notation - up to 8-digit numbers
• Write numbers in scientific notation - up to 12-digit numbers
• Write numbers given in scientific notation in normal form - up to 8-digit numbers
• Write numbers given in scientific notation in normal form - up to 12-digit numbers

Complex fractions

• Simplify complex fractions: either the numerator or the denominator is an integer

Equations and inequalities

• Two-step equations - constants and coefficients are non-negative whole numbers
• Two-step equations - constants and coefficients may be negative integers


• Challenge: the constants and coefficients are 'larger' numbers (have a larger absolute value)

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.

Constant speed, time, and distance

• How far can it go or how long does the trip take 1: using quarter hours
• How far can it go or how long does the trip take 2: using twelfths of an hour
• How far can it go or how long does the trip take 3: using decimal hours or hours and minutes


• Find the average speed: time is given to the fourth of an hour
• Find the average speed: time is given to the twelfth of an hour
• Find the average speed: problems involve conversion of a time unit

Graphing & Slope

• Graph linear equations - easy (slope is a whole number)
• Graph linear equations - medium (slope can be a fraction)


• Find the slope of the line, either from the graph or from the two given points (slope is a whole number)
• Find the slope of the line, either from the graph or from the two given points (slope can be a fraction)


• Graph a line with a given slope and point on it (slope is a whole number)
• Graph a line with a given slope and point on it (slope may be a fraction)

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.

Ratio

Proportions

Percent

• Change decimals to percents — includes percentages more than 100%


• Find a percentage of the given number — easy, percents are multiples of ten
• Find a percentage of the given number — medium, percents are multiples of five
• Find a percentage of the given number — percentages over 100%
• Find a percentage of the given number — use a calculator


• Find a percentage of a given number OR how many percent a number is of another - easy
• Find a percentage of a given number OR how many percent a number is of another - use a calculator

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.

Geometry

7th Grade Writing Resources

Area - these worksheets are done in the coordinate grid.

• Challenge: find the area of triangles & quadrilaterals (scaling on the grid is from -50 to 50)

Tea 7th Grade Resources

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.

• Find the volume of a rectangular prism with fractional edge lengths
  (halves, thirds, and fourths; the whole number part is max 2)
• Find the volume of a rectangular prism with fractional edge lengths (challenge: fractions up till sixths)


• Find the volume or surface area of rectangular prisms (easy)
• Find the volume or surface area of rectangular prisms (using decimals)


• Problem solving: find the volume/surface area/edge length of cube when surface area or volume is given

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.

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:

7th Grade Ela Resources

The 7th Grade Story