diff --git a/tests/test_acq.py b/tests/test_acq.py
index d205710..4d0c680 100644
--- a/tests/test_acq.py
+++ b/tests/test_acq.py
@@ -3,8 +3,6 @@
 import numpy as onp
 import jax
 import jax.numpy as jnp
-import numpyro
-import numpyro.distributions as dist
 from numpy.testing import assert_equal, assert_
 
 sys.path.insert(0, "../gpax/")
diff --git a/tests/test_optimize_acq.py b/tests/test_optimize_acq.py
new file mode 100644
index 0000000..078fbaa
--- /dev/null
+++ b/tests/test_optimize_acq.py
@@ -0,0 +1,36 @@
+import sys
+import pytest
+import numpy as onp
+import jax.numpy as jnp
+from numpy.testing import assert_
+
+sys.path.insert(0, "../gpax/")
+
+from gpax.models.gp import ExactGP
+from gpax.acquisition.optimize import optimize_acq
+from gpax.acquisition.acquisition import UCB, EI
+from gpax.utils import get_keys
+
+
+def get_inputs():
+    X = onp.random.uniform(-2, 2, size=(4,))
+    y = X**3
+    return X, y
+
+
+@pytest.mark.parametrize("acq_fn", [UCB, EI])
+def test_optimize_acq(acq_fn):
+    lower_bound = -2.0
+    upper_bound = 2.0
+    num_initial_guesses = 3
+    key1, key2 = get_keys()
+    X, y = get_inputs()
+    model = ExactGP(1, 'RBF')
+    model.fit(key1, X, y, num_warmup=50, num_samples=50)
+    x_next = optimize_acq(
+        key2, model, acq_fn, num_initial_guesses, lower_bound, upper_bound)
+    assert_(isinstance(x_next, jnp.ndarray))
+    
+
+
+    
\ No newline at end of file