diff --git a/python/cuopt/cuopt/linear_programming/problem.py b/python/cuopt/cuopt/linear_programming/problem.py
index baf971619..80cb83ee6 100644
--- a/python/cuopt/cuopt/linear_programming/problem.py
+++ b/python/cuopt/cuopt/linear_programming/problem.py
@@ -195,6 +195,12 @@ def getVariableName(self):
         """
         return self.VariableName
 
+    def __neg__(self):
+        return LinearExpression([self], [-1.0], 0.0)
+
+    def __pos__(self):
+        return self
+
     def __add__(self, other):
         match other:
             case int() | float():
@@ -204,6 +210,8 @@ def __add__(self, other):
                 return LinearExpression([self, other], [1.0, 1.0], 0.0)
             case LinearExpression():
                 return other + self
+            case QuadraticExpression():
+                return other + self
             case _:
                 raise ValueError(
                     "Cannot add type %s to variable" % type(other).__name__
@@ -221,6 +229,8 @@ def __sub__(self, other):
             case LinearExpression():
                 # self - other ->   other * -1.0 + self
                 return other * -1.0 + self
+            case QuadraticExpression():
+                return other * -1.0 + self
             case _:
                 raise ValueError(
                     "Cannot subtract type %s from variable"