Grade 7 Math Worksheets

Find a unit rate when both quantities are fractions — half a mile in a quarter of an hour, three quarters of a liter in a third of a minute. Dividing by a fraction means multiplying by its reciprocal.

Solve for the unknown in a proportion of the form a/b = x/d using cross multiplication.

Set up and solve a proportion from a real-world situation involving scaling, recipes, maps, or similar rates.

Decide whether two quantities are proportional, find the constant of proportionality in a table, graph, equation or description, write y = kx, and say what (0, 0) and (1, r) mean.

Find the percent change between an original and a new amount, and apply a percent increase or decrease to a value.

Solve multi-step real-world percent problems involving sales tax, gratuity, discounts, markups, and final prices.

Use I = P × r × t to find simple interest (and the total amount) on savings, loans, and investments.

Solve one-step inequalities and express the solution, flipping the sign when dividing by a negative.

Work with linear expressions three ways: expand a bracket, take out the greatest common factor, and collect like terms — including when a whole bracket is subtracted.

Rewrite an expression in an equivalent form and say what the new form reveals — that taking 20% off means multiplying by 0.80, or that two successive discounts do not simply add.