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.
Showing a random 20 of 50 problems.
Example 1
mediumA phone plan costs $20 plus $0.10 per minute. For what minutes is the bill $35?
Example 2
mediumThe sum of three consecutive integers is . Find them.
Example 3
easyWrite an equation: 'A number doubled and increased by 7 equals 25.'
Example 4
hardA store discount of plus a coupon of $5 off brings a shirt to $25. Find the original price .
Example 5
mediumA taxi charges $2.50 base plus $1.20 per mile. For what mileage is the fare $10.90?
Example 6
hardA father is his son's age now. In years he will be twice as old. Find the son's age.
Example 7
easyA number divided by equals . Find the number.
Example 8
mediumA 30% discount on price gives $42. Find .
Example 9
easyTwice a number is 18. Find the number.
Example 10
easyFive less than a number equals . Find the number.
Example 11
easyMike has $12. After buying a book for dollars, he has $5. Find .
Example 12
mediumAt a bake sale, brownies cost $2 and cookies $1. Selling brownies and cookies brought in $50 with items total. Find and .
Example 13
easyA number plus equals . Write and solve an equation.
Example 14
easy3 apples cost $1.50. Write an equation for the price of one apple.
Example 15
easyA rectangle has area and width . Write and solve for length .
Example 16
challengeA rectangular garden has perimeter ft and area sq ft. Find the dimensions.
Example 17
mediumA car travels miles at mph for hours. Find .
Example 18
mediumTom is 4 years older than Jen. Together they are 28. Find Jen's age.
Example 19
mediumA boat travels miles upstream in hours. Current is mph. Find boat speed in still water.
Example 20
easyA square has perimeter . Find side .