7th Grade Math Worksheets
Seventh grade puts negative numbers to work. Students add, subtract, multiply and divide integers, solve equations and inequalities in two steps, and use percentages to describe change. Each page below prints a fresh sheet for one skill, with an answer key.
The integer pages come first because everything after them uses negative numbers: a two-step equation like 3x - 4 = -19 needs both steps and a negative answer. The geometry pages find unknown angles from angle facts, and the surface area and volume of boxes.
Some of seventh grade is not covered here: proportional relationships, scale drawings, circles, and probability and sampling have no pages.
The number system
Expressions and equations
Ratios and percents
Geometry
Frequently asked questions
What math does 7th grade cover?
Operations with negative numbers and other rational numbers, proportional relationships and percent problems, two-step equations and inequalities, angle relationships, the area and circumference of circles, surface area and volume, and probability and sampling. The pages here cover the integer, equation, percent and angle parts, and the surface area and volume of boxes.
How is a two-step inequality different from a two-step equation?
It is solved the same way, with one extra rule: multiplying or dividing both sides by a negative number turns the inequality sign around. Solving -2x + 5 > 11 gives -2x > 6, and dividing by -2 gives x < -3, not x > -3. The inequalities-with-negatives page practises exactly that step.
What is percent of change?
The change divided by the starting amount, written as a percent. A price that rises from $40 to $50 has changed by $10, and 10 ÷ 40 = 0.25, so it rose 25%. Dividing by the new amount instead is the most common mistake.
Where should a student who finds this hard start?
On the sixth-grade page. One-step equations, integers on a number line and absolute value come before everything here, and the sixth-grade placement check shows which of them a student is missing.