One Variable Word Problems

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Videos, worksheets, solutions, and activities to help Algebra 1 students learn how to solve one variable word problems.

One variable Word Problem 1
Learn how to use algebra and one variable to define more than one unknown quantity, write an equation, solve it, and check it.
Examples:
(1) Jamie earned 15 more points on her test than Paul earned. Their points add up to 143. How many points did each student earn?
(2) One number is 10 times another number and their difference is 63. Find the numbers.
(3) The difference between two numbers is 8. If the larger is subtracted from three times the smaller, the difference is 100. Find the numbers. One variable Word Problem 2
Examples:
(1) Kim is two years older than three times Amy's age. Their ages add up to 98. Find their ages.
(2) Nolan has 5 more quarters than dimes and 7 fewer nickels than dimes. He has 25 coins. How many of each coin does he have? How much money in dollars and cents is it worth? One variable Word Problem 3
How to define two numbers that add up to a given number?
Example: The sum of two numbers is 18. The sum of three times the smaller and twice the larger is 44. Find the numbers. One variable Word Problem 4
Examples:
(1) The sum of two numbers is 15. One less than three times the smaller is equal to the larger. Find the numbers.
(2) The sum of two numbers is 2. The difference between eight and twice the smaller number is two less than four times the larger number. Find the numbers.