➕ Algebra 1 · Equations

Solving Two-Step Equations practice questions

Questions start easy and step up. Before you answer, rate how sure you are. It trains you to know what you really know.

Answer key with explanations

1. Solve 3x + 5 = 20.

   Answer: x = 5. Subtract 5 from both sides to get 3x = 15, then divide by 3 to get x = 5.

2. Solve 7x − 9 = 19.

   Answer: x = 4. Add 9 to both sides to get 7x = 28, then divide by 7 to get x = 4.

3. Solve x/6 − 2 = 1.

   Answer: x = 18. Add 2 to both sides to get x/6 = 3, then multiply both sides by 6 to get x = 18.

4. Solve −4x + 6 = −10.

   Answer: x = 4. Subtract 6 to get −4x = −16, then divide both sides by −4 to get x = 4.

5. A gym charges a 20-dollar sign-up fee plus 15 dollars per month. Alexa has paid 110 dollars in total. How many months has she been a member?

   Answer: 6 months. Write 15m + 20 = 110. Subtract 20 to get 15m = 90, then divide by 15 to get m = 6.

6. The solution of 2x + 3 = 11 is x = 4. Which equation has the same solution?

   Answer: 2x = 8. Subtracting 3 from both sides of 2x + 3 = 11 gives 2x = 8, which is equivalent.

7. Solve 3 = 2x − 5.

   Answer: x = 4. Add 5 to both sides to get 8 = 2x, then divide by 2 to get x = 4. It is fine for the variable to be on the right: the same steps work.