diff --git a/pandas/tests/extension/base/ops.py b/pandas/tests/extension/base/ops.py
index 658018a7ac740..83d134161a8fb 100644
--- a/pandas/tests/extension/base/ops.py
+++ b/pandas/tests/extension/base/ops.py
@@ -161,7 +161,18 @@ def test_divmod_series_array(self, data, data_for_twos):
         self._check_divmod_op(other, ops.rdivmod, ser)
 
     def test_add_series_with_extension_array(self, data):
+        # Check adding an ExtensionArray to a Series of the same dtype matches
+        # the behavior of adding the arrays directly and then wrapping in a
+        # Series.
+
         ser = pd.Series(data)
+
+        exc = self._get_expected_exception("__add__", ser, data)
+        if exc is not None:
+            with pytest.raises(exc):
+                ser + data
+            return
+
         result = ser + data
         expected = pd.Series(data + data)
         tm.assert_series_equal(result, expected)
diff --git a/pandas/tests/extension/json/test_json.py b/pandas/tests/extension/json/test_json.py
index d5002a8fb91bf..710ba830f5591 100644
--- a/pandas/tests/extension/json/test_json.py
+++ b/pandas/tests/extension/json/test_json.py
@@ -313,11 +313,6 @@ def test_arith_frame_with_scalar(self, data, all_arithmetic_operators, request):
             request.node.add_marker(mark)
         super().test_arith_frame_with_scalar(data, all_arithmetic_operators)
 
-    def test_add_series_with_extension_array(self, data):
-        ser = pd.Series(data)
-        with pytest.raises(TypeError, match="unsupported"):
-            ser + data
-
 
 class TestComparisonOps(BaseJSON, base.BaseComparisonOpsTests):
     pass
diff --git a/pandas/tests/extension/test_arrow.py b/pandas/tests/extension/test_arrow.py
index 3b54d8e948b14..897b21d2f7a68 100644
--- a/pandas/tests/extension/test_arrow.py
+++ b/pandas/tests/extension/test_arrow.py
@@ -988,6 +988,9 @@ def _get_expected_exception(
             or pa.types.is_integer(pa_dtype)
             or pa.types.is_decimal(pa_dtype)
         ):
+            # TODO: in many of these cases, e.g. non-duration temporal,
+            #  these will *never* be allowed. Would it make more sense to
+            #  re-raise as TypeError, more consistent with non-pyarrow cases?
             exc = pa.ArrowNotImplementedError
         else:
             exc = None
@@ -1123,32 +1126,7 @@ def test_arith_series_with_array(self, data, all_arithmetic_operators, request):
     def test_add_series_with_extension_array(self, data, request):
         pa_dtype = data.dtype.pyarrow_dtype
 
-        if pa.types.is_temporal(pa_dtype) and not pa.types.is_duration(pa_dtype):
-            # i.e. timestamp, date, time, but not timedelta; these *should*
-            #  raise when trying to add
-            ser = pd.Series(data)
-            if pa_version_under7p0:
-                msg = "Function add_checked has no kernel matching input types"
-            else:
-                msg = "Function 'add_checked' has no kernel matching input types"
-            with pytest.raises(NotImplementedError, match=msg):
-                # TODO: this is a pa.lib.ArrowNotImplementedError, might
-                #  be better to reraise a TypeError; more consistent with
-                #  non-pyarrow cases
-                ser + data
-
-            return
-
-        if (pa_version_under8p0 and pa.types.is_duration(pa_dtype)) or (
-            pa.types.is_boolean(pa_dtype)
-        ):
-            request.node.add_marker(
-                pytest.mark.xfail(
-                    raises=NotImplementedError,
-                    reason=f"add_checked not implemented for {pa_dtype}",
-                )
-            )
-        elif pa_dtype.equals("int8"):
+        if pa_dtype.equals("int8"):
             request.node.add_marker(
                 pytest.mark.xfail(
                     raises=pa.ArrowInvalid,
diff --git a/pandas/tests/extension/test_categorical.py b/pandas/tests/extension/test_categorical.py
index 828cdfa538ba5..8ee84c862688b 100644
--- a/pandas/tests/extension/test_categorical.py
+++ b/pandas/tests/extension/test_categorical.py
@@ -263,11 +263,6 @@ def test_arith_series_with_scalar(self, data, all_arithmetic_operators, request)
             )
         super().test_arith_series_with_scalar(data, op_name)
 
-    def test_add_series_with_extension_array(self, data):
-        ser = pd.Series(data)
-        with pytest.raises(TypeError, match="cannot perform|unsupported operand"):
-            ser + data
-
 
 class TestComparisonOps(base.BaseComparisonOpsTests):
     def _compare_other(self, s, data, op, other):
diff --git a/pandas/tests/extension/test_datetime.py b/pandas/tests/extension/test_datetime.py
index 4284b46a230a7..80e75824763b6 100644
--- a/pandas/tests/extension/test_datetime.py
+++ b/pandas/tests/extension/test_datetime.py
@@ -136,13 +136,6 @@ def _get_expected_exception(self, op_name, obj, other):
             return None
         return super()._get_expected_exception(op_name, obj, other)
 
-    def test_add_series_with_extension_array(self, data):
-        # Datetime + Datetime not implemented
-        ser = pd.Series(data)
-        msg = "cannot add DatetimeArray and DatetimeArray"
-        with pytest.raises(TypeError, match=msg):
-            ser + data
-
 
 class TestCasting(BaseDatetimeTests, base.BaseCastingTests):
     pass
diff --git a/pandas/tests/extension/test_period.py b/pandas/tests/extension/test_period.py
index 26936829d7a34..5afbbe5214a5a 100644
--- a/pandas/tests/extension/test_period.py
+++ b/pandas/tests/extension/test_period.py
@@ -117,16 +117,6 @@ def _get_expected_exception(self, op_name, obj, other):
             return None
         return super()._get_expected_exception(op_name, obj, other)
 
-    def test_add_series_with_extension_array(self, data):
-        # we don't implement + for Period
-        s = pd.Series(data)
-        msg = (
-            r"unsupported operand type\(s\) for \+: "
-            r"\'PeriodArray\' and \'PeriodArray\'"
-        )
-        with pytest.raises(TypeError, match=msg):
-            s + data
-
 
 class TestCasting(BasePeriodTests, base.BaseCastingTests):
     pass