diff --git a/Overround.Tests/SolverTest.cs b/Overround.Tests/SolverTest.cs
new file mode 100644
index 0000000..7d22257
--- /dev/null
+++ b/Overround.Tests/SolverTest.cs
@@ -0,0 +1,44 @@
+namespace Overround.Tests;
+
+[TestClass]
+public class SolverTest
+{
+    private const double Delta = 1e-6;
+
+    [TestMethod]
+    public void TestTerminateAfterFirst()
+    {
+        var solution = Solver.Solve(5, 0.1, Delta, 100, est => Math.Pow(est - 5, 2));
+        Assert.AreEqual(5, solution.Value);
+        Assert.AreEqual(1, solution.Iterations);
+        Assert.AreEqual(0, solution.Error);
+    }
+
+    [TestMethod]
+    public void TestForwardOnly()
+    {
+        var solution = Solver.Solve(4, 0.1, Delta, 100, est => Math.Pow(est - 5, 2));
+        Assert.AreEqual(5, solution.Value, Delta);
+        Assert.AreEqual(11, solution.Iterations);
+        Assert.AreEqual(0, solution.Error, Delta);
+    }
+
+    [TestMethod]
+    public void TestWithBacktrack()
+    {
+        // the estimation sequence will be 4, 6, 5
+        var solution = Solver.Solve(4, 2, Delta, 100, est => Math.Pow(est - 5, 2));
+        Assert.AreEqual(5, solution.Value, Delta);
+        Assert.AreEqual(3, solution.Iterations);
+        Assert.AreEqual(0, solution.Error, Delta);
+    }
+
+    [TestMethod]
+    public void TestExhaustMaxIterations()
+    {
+        var solution = Solver.Solve(4, 0.01, Delta, 10, est => Math.Pow(est - 5, 2));
+        Assert.AreEqual(4.09, solution.Value, Delta);
+        Assert.AreEqual(10, solution.Iterations);
+        Assert.AreEqual(0.8281, solution.Error, Delta); // (5-0.49)^2
+    }
+}
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