diff --git a/tests/test_simulate.py b/tests/test_simulate.py
index 8acce270..d71bea19 100644
--- a/tests/test_simulate.py
+++ b/tests/test_simulate.py
@@ -116,9 +116,9 @@ def test_get_y_conservation_in_equilibria() -> None:
         (cat0, sub0, keq, kcat, method)
         for cat0 in [0.3, 0.4]
         for sub0 in [0.01, 0.02]
-        for keq in [10.0, 100.0]
-        for kcat in [1e10, 1e11]
-        for method in ("RK23", "LSODA")
+        for keq in [1.0, 10.0, 100.0]
+        for kcat in [1e-1, 1e1, 1e10, 1e11, 1e13]
+        for method in ("RK23", "LSODA", "Radau", "BDF")
     ],
 )
 def test_simple_michaelis_menten(
@@ -164,9 +164,9 @@ def test_simple_michaelis_menten(
         (cat0, sub0, keq, kcat, method)
         for cat0 in [0.3, 0.4]
         for sub0 in [0.01, 0.02]
-        for keq in [10.0, 100.0]
-        for kcat in [1e10, 1e11]
-        for method in ("RK23", "LSODA")
+        for keq in [1.0, 10.0, 100.0]
+        for kcat in [1e-1, 1e1, 1e10, 1e11, 1e13]
+        for method in ("RK23", "LSODA", "Radau", "BDF")
     ],
 )
 def test_consuming_michaelis_menten(