Practice Modeling with Equations in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Translating a real-world situation into one or more equations that capture its mathematical relationships and constraints.

Turn a word problem into math: identify what's unknown, write relationships as equations.

Example 1

easy
A phone plan costs \15 per month plus \0.10 per text. Write an equation for the monthly cost C if you send t texts.

Example 2

medium
Two trains leave the same station traveling in opposite directions at 50 mph and 70 mph. After how many hours are they 360 miles apart?

Example 3

easy
Write an equation: 'A number doubled and increased by 7 equals 25.'

Example 4

hard
The sum of three consecutive integers is 72. Find them.