pdf Solving Proportions

This Solving Proportions worksheet provides structured practice using cross multiplication to find missing values in proportional relationships. A clear example models how to verify whether two ratios are proportional and how to solve for an unknown variable by setting up a cross-multiplication equation.

Students review that a proportion represents the equality of two ratios, such as \(\frac{4}{12}=\frac{5}{15}\). The guided example demonstrates how cross products are equal when ratios are proportional and models solving an equation like \(\frac{8}{n}=\frac{12}{18}\) by writing \(12 \times n = 8 \times 18\) and isolating the variable.

After the modeled example, students complete 15 proportion problems requiring them to apply cross multiplication, divide to isolate the variable, and simplify results accurately. The consistent structure reinforces procedural fluency while strengthening multiplicative reasoning.

Because all problems focus on solving for a missing value, this resource builds confidence and precision with one of the most essential proportional reasoning skills.

Skills Assessed

• Understanding proportions as equal ratios

• Applying cross multiplication

• Solving for an unknown variable

• Isolating variables using division

• Simplifying results

• Strengthening multiplicative reasoning

Classroom Use

This worksheet works well as guided practice when introducing cross multiplication, independent reinforcement during a proportions unit, or review before a quiz or assessment. It is especially effective for building fluency with solving numerical proportions before moving into word problems.

Details

• 2 pages

• Answer key included

ID# 0194