diff --git a/parso/python/normalizer.py b/parso/python/normalizer.py
index 591c4ec..f9ebeae 100644
--- a/parso/python/normalizer.py
+++ b/parso/python/normalizer.py
@@ -482,8 +482,9 @@ class ErrorFinder(Normalizer):
                 self._check_assignment(before_equal)
 
             augassign = node.children[1]
+            print(augassign)
             if augassign != '=' and augassign.type != 'annassign':  # Is augassign.
-                if node.children[0].type in ('testlist_star_expr', 'atom'):
+                if node.children[0].type in ('testlist_star_expr', 'atom', 'testlist'):
                     message = "illegal expression for augmented assignment"
                     self._add_syntax_error(message, node)
         elif node.type == 'with_item':
@@ -515,10 +516,12 @@ class ErrorFinder(Normalizer):
         elif leaf.type == 'name':
             if leaf.value == '__debug__' and leaf.is_definition():
                 if self._version <= (2, 7):
-                    message = 'assignment to __debug__'
+                    message = 'cannot assign to __debug__'
                 else:
                     message = 'assignment to keyword'
                 self._add_syntax_error(message, leaf)
+            if leaf.value == 'None' and self._version <= (2, 7) and leaf.is_definition():
+                self._add_syntax_error('cannot assign to None', leaf)
 
             self._context.add_name(leaf)
         elif leaf.type == 'string':
@@ -629,7 +632,7 @@ class ErrorFinder(Normalizer):
                 assert trailer.type == 'trailer'
                 if trailer.children[0] == '(':
                     error = 'function call'
-        elif type_ in ('testlist_star_expr', 'exprlist'):
+        elif type_ in ('testlist_star_expr', 'exprlist', 'testlist'):
             for child in node.children[::2]:
                 self._check_assignment(child, is_deletion)
         elif ('expr' in type_ and type_ != 'star_expr' # is a substring
diff --git a/test/test_python_errors.py b/test/test_python_errors.py
index 5f4e912..f670a3b 100644
--- a/test/test_python_errors.py
+++ b/test/test_python_errors.py
@@ -84,8 +84,6 @@ FAILING_EXAMPLES = [
     'def foo(): x = yield 1 = 3',
     'async def foo(): await x = 3',
     '(a if a else a) = a',
-    '(True,) = x',
-    '([False], a) = x',
     'a, 1 = x',
     'foo() = 1',
     # Cases without the equals but other assignments.
@@ -101,7 +99,6 @@ FAILING_EXAMPLES = [
 
     # SyntaxErrors from Python/symtable.c
     'def f(x, x): pass',
-    'def x(): from math import *',
     'nonlocal a',
 
     # IndentationError
@@ -215,6 +212,15 @@ if sys.version_info >= (3, 6):
 if sys.version_info >= (3, 4):
     # Before that del None works like del list, it gives a NameError.
     FAILING_EXAMPLES.append('del None')
+if sys.version_info >= (3,):
+    FAILING_EXAMPLES += [
+        # Unfortunately assigning to False and True do not raise an error in
+        # 2.x.
+        '(True,) = x',
+        '([False], a) = x',
+        # A symtable error that raises only a SyntaxWarning in Python 2.
+        'def x(): from math import *',
+    ]
 
 
 def _get_error_list(code, version=None):