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**Free Math Worksheets for Grade 7**

These worksheets provide additional calculation practice for nearly all seventh grade math topics. Use them as you need!

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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.

*Jump to:*
Multi-step equations and inequalities |

### 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**

Review: expressions with exponents

Solve in the correct order: two or three operations

Solve in the correct order: three or four operations

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

**Expressions**

Evaluate simple expressions

Write a number expression from a verbal expression

Simplify expressions (by combining like terms; no negative numbers)

Multiply using the distributive property

Factor the expressions

Simplify expressions - no negative numbers (for example 4*w* + 2*w* or *c* · 3 · *c* · *c* · 7)

**Equations**

One-step equations with whole numbers (no negative numbers involved)

### 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**

Add two integers (-10 to 10)

Add two integers (-30 to 30)

Add three integers

Add four integers

Add integers: missing number (easy)

Add integers: missing number (medium)

Subtract two integers (-10 to 10)

Subtract three integers (-30 to 30)

Subtract integers: missing number

Subtract three integers

Subtract four integers

Mixed addition and subtraction problems (within -20 and 20)

Challenge: mixed addition and subtraction problems: missing numbers

**Multiplication & Division**

Multiply two integers: medium

Simple missing factor problems

Multiply whole tens

Multiply three integers

Multiply four integers

Simple division of integers

Simple division of integers, missing dividend or divisor

Mixed multiplication and division problems

**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.**

Two operations with integers

Two or three operations with integers

Simplify expressions (for example −6*z* + *z* − 5 or −7*v*^{3} · *v*^{2})

Solve simple equations involving integers

### One-step equations

Solve the simplest equations involving integers

Solve one-step equations involving integers

### Rational numbers

**Convert decimals to fractions and vice versa**

Convert decimals to fractions or mixed numbers (up to millionths)

Convert fractions and mixed numbers into decimals (easy, varied denominators)

Convert proper fractions to decimals (denominators are powers of ten)

Convert fractions & mixed numbers to decimals (denominators powers of ten)

Convert fractions to decimals using long division

Convert fractions to decimals - mixed practice

**Decimal Addition and Subtraction**

Add two decimals (includes negative decimals)

Add three decimals (easy) (includes negative decimals)

Add decimals (challenge) (includes negative decimals)

Subtract decimals (easy)

Subtract decimals (medium)

Subtract decimals (challenge)

**Decimal Multiplication and division**

Multiply three decimals — mental math (includes negative decimals)

Multiply two decimals using the multiplication algorithm (includes negative decimals)

Divide decimals — long 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.

**Fraction addition and subtraction**

Add or subtract two fractions - easy

Add or subtract two fractions - medium

Add or subtract a fraction and a mixed number

Add and subtract three like fractions

Add and subtract four like fractions

Add and subtract four like fractions and mixed numbers

Add and subtract three unlike fractions

**Fraction multiplication and division**

Multiply three fractions

Challenge: multiply four fractions & mixed numbers

Divide fractions

Divide a fraction & a mixed number

**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

Simplify complex fractions

### Equations and inequalities

Two-step equations - constants and coefficients are non-negative whole numbers

Two-step equations - constants and coefficients may be negative integers

Variable on both sides

Equations with parentheses

Equations: mixed practice

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

Challenge: equations with decimals

Solve very simple inequalities and plot the solution set on a number line

Solve a bit more complex inequalities and plot the solution set

Solve inequalities - easier

Solve inequalities - medium

**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

Problems about speed, time, and distance - medium difficulty

Problems about speed, time, and distance - more advanced

Problems about speed, time, and distance - challenge

Problems about speed, time, and distance - advanced challenge

### 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

Write a ratio and simplify it

Ratio word problems

### Proportions

Easy proportions (can be solved by thinking of equivalent fractions)

Solve proportions (whole numbers)

Solve proportions (decimals)

Simple word problems that involve proportions

Simple word problems that involve proportions and use decimal numbers

### Percent

Change decimals to percents and vice versa

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 how many percent a number is of another

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

*Area **- these worksheets are done in the coordinate grid.*

Find the area of right triangles, parallelograms, and trapezoids

Find the area of triangles and quadrilaterals

Find the area of quadrilaterals, pentagons, and hexagons

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

*
Generate worksheets for the area of polygons yourself*

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

*
Generate worksheets for volume & surface area of rectangular prisms yourself*

**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

Find the circumference when either radius or diameter is given

Find the area of the circle when either radius or diameter is given

Challenge: calculate diameter/radius/area when circumference is given