diff --git a/dimod/binary_quadratic_model.py b/dimod/binary_quadratic_model.py
index f6121123..28996cd9 100644
--- a/dimod/binary_quadratic_model.py
+++ b/dimod/binary_quadratic_model.py
@@ -981,6 +981,22 @@ class BinaryQuadraticModel(abc.Sized, abc.Container, abc.Iterable):
         self.add_offset(value * linear[v])
         self.remove_variable(v)
 
+    def fix_variables(self, fixed):
+        """Fix the value of the variables and remove it from a binary quadratic model.
+
+        Args:
+            fixed (dict):
+                A dictionary of variable assignments.
+
+        Examples:
+            >>> bqm = dimod.BinaryQuadraticModel({'a': -.5, 'b': 0., 'c': 5}, {('a', 'b'): -1}, 0.0, dimod.SPIN)
+            >>> bqm.fix_variables({'a': -1, 'b': +1})
+
+        """
+        for v, val in fixed.items():
+            self.fix_variable(v, val)
+
+
     def flip_variable(self, v):
         """Flip variable v in a binary quadratic model.
 
diff --git a/docs/reference/binary_quadratic_model.rst b/docs/reference/binary_quadratic_model.rst
index 882831e2..76150d8e 100644
--- a/docs/reference/binary_quadratic_model.rst
+++ b/docs/reference/binary_quadratic_model.rst
@@ -59,6 +59,7 @@ Transformations
 
    BinaryQuadraticModel.contract_variables
    BinaryQuadraticModel.fix_variable
+   BinaryQuadraticModel.fix_variables
    BinaryQuadraticModel.flip_variable
    BinaryQuadraticModel.relabel_variables
    BinaryQuadraticModel.scale

Add fix_variables (fix multiple variables at once)
**Application**
For example, given a multiplication circuit CSP, I'd like to do this:

```
In [142]: bqm.fix_variables({'a0': 1, 'a1': 0, 'a2': 1, 'b0': 1, 'b1': 1, 'b2': 0})
```

Instead of this:

```
In [142]: bqm.fix_variable('a0', 1)
In [143]: bqm.fix_variable('a1', 0)
In [144]: bqm.fix_variable('a2', 1)
In [145]: bqm.fix_variable('b0', 1)
In [146]: bqm.fix_variable('b1', 1)
In [147]: bqm.fix_variable('b2', 0)
```

**Proposed Solution**
Enable fixing multiple variables in a single command.

**Alternatives Considered**
Using fix_variables multiple times.

**Additional Context**
I think there are lots of situation where users will fix multiple variables and would like to manipulate the values using dicts.

diff --git a/tests/test_binary_quadratic_model.py b/tests/test_binary_quadratic_model.py
index b43d8e27..7442c21a 100644
--- a/tests/test_binary_quadratic_model.py
+++ b/tests/test_binary_quadratic_model.py
@@ -757,6 +757,11 @@ class TestBinaryQuadraticModel(unittest.TestCase):
         self.assertConsistentBQM(bqm)
         self.assertEqual(bqm, dimod.BinaryQuadraticModel({0: -1, 1: 1}, {(0, 1): -1.}, .5, dimod.SPIN))
 
+    def test_fix_variables(self):
+        bqm = dimod.BinaryQuadraticModel({'a': .3}, {('a', 'b'): -1}, 1.2, dimod.SPIN)
+        bqm.fix_variables({'a': -1, 'b': +1})
+
+
     def test_fix_variable(self):
         # spin model, fix variable to +1
         bqm = dimod.BinaryQuadraticModel({'a': .3}, {('a', 'b'): -1}, 1.2, dimod.SPIN)

pip install -e .[all]
parse_log_pytest
requirements.txt
pytest
apt-get update apt-get install -y gcc
3.6
requirements.txt
pytest --no-header -rA --tb=line --color=no -p no:cacheprovider -W ignore::DeprecationWarning
attrs==22.2.0
certifi==2021.5.30
charset-normalizer==2.0.12
codecov==2.1.13
coverage==6.2
Cython==3.0.12
decorator==5.1.1
-e git+https://github.com/dwavesystems/dimod.git@e89fd52174afdcb783a7859892b328ee989e01dd#egg=dimod
idna==3.10
importlib-metadata==4.8.3
iniconfig==1.1.1
jsonschema==2.6.0
mock==2.0.0
networkx==2.0
numpy==1.15.0
packaging==21.3
pandas==0.22.0
pbr==6.1.1
pluggy==1.0.0
py==1.11.0
pymongo==3.7.1
pyparsing==3.1.4
pytest==7.0.1
python-dateutil==2.9.0.post0
pytz==2025.2
requests==2.27.1
six==1.11.0
tomli==1.2.3
typing_extensions==4.1.1
urllib3==1.26.20
zipp==3.6.0

name: dimod
channels:
  - defaults
  - https://repo.anaconda.com/pkgs/main
  - https://repo.anaconda.com/pkgs/r
  - conda-forge
dependencies:
  - _libgcc_mutex=0.1=main
  - _openmp_mutex=5.1=1_gnu
  - ca-certificates=2025.2.25=h06a4308_0
  - certifi=2021.5.30=py36h06a4308_0
  - ld_impl_linux-64=2.40=h12ee557_0
  - libffi=3.3=he6710b0_2
  - libgcc-ng=11.2.0=h1234567_1
  - libgomp=11.2.0=h1234567_1
  - libstdcxx-ng=11.2.0=h1234567_1
  - ncurses=6.4=h6a678d5_0
  - openssl=1.1.1w=h7f8727e_0
  - pip=21.2.2=py36h06a4308_0
  - python=3.6.13=h12debd9_1
  - readline=8.2=h5eee18b_0
  - setuptools=58.0.4=py36h06a4308_0
  - sqlite=3.45.3=h5eee18b_0
  - tk=8.6.14=h39e8969_0
  - wheel=0.37.1=pyhd3eb1b0_0
  - xz=5.6.4=h5eee18b_1
  - zlib=1.2.13=h5eee18b_1
  - pip:
      - attrs==22.2.0
      - charset-normalizer==2.0.12
      - codecov==2.1.13
      - coverage==6.2
      - cython==3.0.12
      - decorator==5.1.1
      - idna==3.10
      - importlib-metadata==4.8.3
      - iniconfig==1.1.1
      - jsonschema==2.6.0
      - mock==2.0.0
      - networkx==2.0
      - numpy==1.15.0
      - packaging==21.3
      - pandas==0.22.0
      - pbr==6.1.1
      - pluggy==1.0.0
      - py==1.11.0
      - pymongo==3.7.1
      - pyparsing==3.1.4
      - pytest==7.0.1
      - python-dateutil==2.9.0.post0
      - pytz==2025.2
      - requests==2.27.1
      - six==1.11.0
      - tomli==1.2.3
      - typing-extensions==4.1.1
      - urllib3==1.26.20
      - zipp==3.6.0
prefix: /opt/conda/envs/dimod

tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_fix_variables
tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test__contains__ tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test__eq__ tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test__iter__ tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test__len__ tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test__repr__ tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_add_interaction tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_add_interaction_counterpart tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_add_interactions_from tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_add_offset tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_add_variable tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_add_variable_counterpart tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_add_variables_from tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_binary_property tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_binary_property_relabel tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_change_vartype tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_construction tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_construction_quadratic tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_construction_vartype tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_contract_variables tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_copy tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_fix_variable tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_flip_variable tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_normalize tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_partial_relabel_copy tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_partial_relabel_inplace tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_relabel_typical tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_relabel_typical_copy tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_relabel_typical_inplace tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_relabel_with_identity tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_relabel_with_overlap tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_remove_interaction tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_remove_interactions_from tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_remove_offset tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_remove_variable tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_remove_variables_from tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_scale tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_scale_exclusions tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_spin_property tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_spin_property_relabel tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_update tests/test_binary_quadratic_model.py::TestBinaryQuadraticModel::test_variables tests/test_binary_quadratic_model.py::TestConvert::test_bson_dense tests/test_binary_quadratic_model.py::TestConvert::test_bson_sparse tests/test_binary_quadratic_model.py::TestConvert::test_coo_functional_file_BINARY tests/test_binary_quadratic_model.py::TestConvert::test_coo_functional_file_SPIN tests/test_binary_quadratic_model.py::TestConvert::test_coo_functional_file_empty_BINARY tests/test_binary_quadratic_model.py::TestConvert::test_coo_functional_file_empty_SPIN tests/test_binary_quadratic_model.py::TestConvert::test_coo_functional_string_BINARY tests/test_binary_quadratic_model.py::TestConvert::test_coo_functional_string_SPIN tests/test_binary_quadratic_model.py::TestConvert::test_coo_functional_string_empty_BINARY tests/test_binary_quadratic_model.py::TestConvert::test_coo_functional_string_empty_SPIN tests/test_binary_quadratic_model.py::TestConvert::test_coo_functional_two_digit_integers_string tests/test_binary_quadratic_model.py::TestConvert::test_empty tests/test_binary_quadratic_model.py::TestConvert::test_from_coo_file tests/test_binary_quadratic_model.py::TestConvert::test_from_coo_string tests/test_binary_quadratic_model.py::TestConvert::test_from_ising tests/test_binary_quadratic_model.py::TestConvert::test_from_numpy_matrix tests/test_binary_quadratic_model.py::TestConvert::test_from_numpy_vectors tests/test_binary_quadratic_model.py::TestConvert::test_from_numpy_vectors_labels tests/test_binary_quadratic_model.py::TestConvert::test_from_qubo tests/test_binary_quadratic_model.py::TestConvert::test_functional_to_and_from_json tests/test_binary_quadratic_model.py::TestConvert::test_functional_to_and_from_json_empty tests/test_binary_quadratic_model.py::TestConvert::test_functional_to_and_from_json_with_info tests/test_binary_quadratic_model.py::TestConvert::test_info tests/test_binary_quadratic_model.py::TestConvert::test_to_coo_string_empty_BINARY tests/test_binary_quadratic_model.py::TestConvert::test_to_coo_string_empty_SPIN tests/test_binary_quadratic_model.py::TestConvert::test_to_coo_string_typical_BINARY tests/test_binary_quadratic_model.py::TestConvert::test_to_coo_string_typical_SPIN tests/test_binary_quadratic_model.py::TestConvert::test_to_ising_binary_to_ising tests/test_binary_quadratic_model.py::TestConvert::test_to_ising_spin_to_ising tests/test_binary_quadratic_model.py::TestConvert::test_to_json_file tests/test_binary_quadratic_model.py::TestConvert::test_to_json_file_empty tests/test_binary_quadratic_model.py::TestConvert::test_to_json_string tests/test_binary_quadratic_model.py::TestConvert::test_to_json_string_empty tests/test_binary_quadratic_model.py::TestConvert::test_to_networkx_graph tests/test_binary_quadratic_model.py::TestConvert::test_to_numpy_matrix tests/test_binary_quadratic_model.py::TestConvert::test_to_numpy_vectors tests/test_binary_quadratic_model.py::TestConvert::test_to_numpy_vectors_labels_sorted tests/test_binary_quadratic_model.py::TestConvert::test_to_numpy_vectors_sorted tests/test_binary_quadratic_model.py::TestConvert::test_to_pandas_dataframe tests/test_binary_quadratic_model.py::TestConvert::test_to_qubo_binary_to_qubo tests/test_binary_quadratic_model.py::TestConvert::test_to_qubo_spin_to_qubo
dimod/binary_quadratic_model.py docs/reference/binary_quadratic_model.rst
dimod/binary_quadratic_model.py docs/reference/binary_quadratic_model.rst