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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:**

- Jamie earned 15 more points on her test than Paul earned. Their points add up to 143. How many points did each student earn?
- One number is 10 times another number and their difference is 63. Find the numbers.
- 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:**

- Kim is two years older than three times Amy’s age. Their ages add up to 98. Find their ages.
- 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:**

- The sum of two numbers is 15. One less than three times the smaller is equal to the larger. Find the numbers.
- 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.

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