Real numbers
Adding and subtracting rational numbers worksheets
Create fourteen signed sums and differences with integers, decimals, fractions or a mixture. Each question has two or three operands and an exact answer.
Preview and downloadConnect arithmetic to algebra
7th grade math worksheets
Build confident work with signed rational numbers, then use proportional reasoning and percent before moving into expressions, equations, geometry and chance.
22 printable resources, grouped by skill. Start where the learner is ready; grade expectations vary by school and curriculum.
A useful starting point
Start with a short rational-number check. A learner ready for this collection can explain the sign of a product, place negative values on a number line and use multiplication or division to find an equivalent ratio.
Discuss together
A $36 item is discounted by 25%. What is the sale price?
$27Find 25% of 36: 0.25 × 36 = 9. Subtract the discount from the original price: 36 − 9 = 27. Check that a 25% discount leaves 75% of the price, and 0.75 × 36 is also 27.
Five-resource starter
Open an editable Grade 7 packet
Load five existing worksheets in the packet builder. Reorder them, add or remove resources, choose a student or teacher packet, then download the version you need.
- Adding and subtracting rational numbers
- Rates and unit rates
- Percentage calculations: part, whole and rate
- Simplifying variable expressions
- Two-step equations worksheet
Step 1
Signed and rational number operations
Predict the sign first, then calculate. Keep fraction and decimal work exact until the final step so the arithmetic does not hide the reasoning.
Real numbers
Multiplying and dividing integers worksheets
Practice fourteen signed integer products and exact quotients. Choose fraction-bar division, ÷, × or parentheses, with factor magnitudes from 2 to 20.
Preview and download
Real numbers
Multiplying and dividing rational numbers worksheets
Create fourteen signed products and quotients with any combination of integers, decimal tenths and fractions. Exact answers use terminating decimals or simplest fractions.
Preview and downloadStep 2
Ratios, rates and percent
Use units and equivalent ratios to connect tables, unit rates, percent calculations and written situations. Ask what each number represents before choosing an operation.
Ratios
Rates and unit rates
Write a labeled rate and calculate a unit rate for ten word phrases. Keep the units in order and round the final unit rate to two decimal places.
Preview and download
Ratios
Mixed ratios and unit rates
Combine eight simplest-form ratio questions with eight rate and unit-rate questions. Practice choosing the correct representation and keeping units with every answer.
Preview and download
Ratios
Ratio and rate word problems
Solve seven contextual problems using constant rates, time conversions, fuel use and better-buy comparisons. Answer linked scaling and unit-rate questions with separate worked keys.
Preview and download
Percent
Percentage calculations: part, whole and rate
Find a part, a whole or a percentage in ten configurable problems. Choose five equation forms, whole or decimal operands, word prompts and 1–3 decimal places.
Preview and download
Percent
Converting percents, decimals and fractions
Practice all six conversion directions between percentages, decimals and fractions. Choose values below or above one, fractional percents, and printable simplified answer keys.
Preview and downloadStep 3
Expressions, equations and inequalities
Translate words carefully, simplify one structure at a time and preserve equality by applying the same operation to both sides.
Algebraic expressions
Writing algebraic expressions worksheets
Translate words into algebra with ten questions per worksheet. Select easy, medium and hard phrases, including grouping, fractions and powers, and print an explained answer key.
Preview and download
Algebraic expressions
Combining like terms worksheets
Print ten combining-like-terms questions and a separate worked key. Choose original one-variable practice or a progressive English lesson with two-variable grouping, distribution, error analysis, and perimeter.
Preview and download
Algebraic expressions
Distributive property worksheets
Print 10 distributive property expressions. Choose grouped three- or four-term forms, signed factors and coefficient ranges, with worked answers.
Preview and download
Algebraic expressions
Evaluating one-variable expressions worksheets
Substitute a given value and evaluate expressions with one variable. Choose addition, subtraction, grouped products or exact division, with whole-number or signed integer inputs.
Preview and download
Equations
One-step equations worksheet with integers
Print a 10-question one-step equations worksheet with signed integers, four inverse operations, exact answers, worked steps, and substitution checks.
Preview and download
Equations
Two-step equations worksheet
Print a 10-question two-step equations worksheet with integer quantities, fractional coefficients, grouped quotients, worked answers, and exact checks.
Preview and download
Inequalities
Graphing single-variable inequalities worksheets
Translate between an inequality and a number-line graph in twenty questions. Choose whole numbers, signed integers or halves; draw graphs, read graphs or mix both tasks, with a separate key.
Preview and download
Inequalities
One-step all-operations inequalities worksheets
Solve and graph ten one-step inequalities in one mixed set: three addition, three subtraction, two multiplication and two division questions. Choose the prompt relationships and print separate worked answers.
Preview and downloadStep 4
Angle and circle reasoning
Label the known relationship before calculating. Keep radius and diameter distinct, and use the triangle angle total as a reason rather than a memorized answer cue.
Geometry
Triangle angle sum worksheets
Solve eight exact triangle angle equations with one variable expression and two numeric givens. Choose interior, exterior or mixed placement independently from single-variable, algebraic or mixed expression practice.
Preview and download
Geometry
Circle measurements worksheets
Find radius, diameter, circumference and area in nine circles from a supplied radius or diameter. Choose any of five units, use pi = 3.14, and optionally print the formulas.
Preview and downloadStep 5
Probability and data foundations
Describe the sample space before counting favorable outcomes. For data, order the observations and choose the statistic that answers the question being asked.
Probability
Probability with numbers worksheets
Find the chance of selecting a number from a finite set. Practice ranges up to 10, 25 or 50, count favorable outcomes and simplify the probability with an explained answer key.
Preview and download
Probability
Single die probability worksheets
Explore six equally likely outcomes on a fair die. Choose number, multiple-and-divisor or factor questions, then print a worksheet and a separate explained answer key.
Preview and download
Probability
Two dice probability worksheets
Count ordered outcomes from two fair dice. Practice number events, sums, differences, products and factor relationships with probabilities derived from all 36 possible pairs.
Preview and download
Mean, median, mode & range
Mean, median, mode and range practice
Generate ten datasets for mean, median, mode and range practice. Choose the requested statistics, observations per dataset, number range and signs, with separate answer pages.
Preview and downloadChoose what to practice next
Begin with one short resource, review the learner's written reasoning and adjust the difficulty on the activity page. Revisit an earlier group when arithmetic errors obscure the new idea.