diff --git a/src/nlp-expr/009_010.jl b/src/nlp-expr/009_010.jl
new file mode 100644
index 0000000..63c984d
--- /dev/null
+++ b/src/nlp-expr/009_010.jl
@@ -0,0 +1,29 @@
+# Copyright (c) 2021 MINLPTests.jl contributors
+#
+# Use of this source code is governed by an MIT-style license that can be found
+# in the LICENSE.md file or at https://opensource.org/licenses/MIT.
+
+function nlp_expr_009_010(
+    optimizer,
+    objective_tol,
+    primal_tol,
+    dual_tol,
+    termination_target = TERMINATION_TARGET_LOCAL,
+    primal_target = PRIMAL_TARGET_LOCAL,
+)
+    # Test Goals:
+    # - min support
+
+    model = Model(optimizer)
+
+    @variable(model, x)
+
+    @objective(model, Max, min(0.75 + (x - 0.5)^3, 0.75 - (x - 0.5)^2))
+
+    optimize!(model)
+
+    check_status(model, FEASIBLE_PROBLEM, termination_target, primal_target)
+    check_objective(model, 0.75, tol = objective_tol)
+    check_solution([x], [0.5], tol = primal_tol)
+    return
+end
diff --git a/src/nlp-expr/009_011.jl b/src/nlp-expr/009_011.jl
new file mode 100644
index 0000000..06c1ac5
--- /dev/null
+++ b/src/nlp-expr/009_011.jl
@@ -0,0 +1,29 @@
+# Copyright (c) 2021 MINLPTests.jl contributors
+#
+# Use of this source code is governed by an MIT-style license that can be found
+# in the LICENSE.md file or at https://opensource.org/licenses/MIT.
+
+function nlp_expr_009_011(
+    optimizer,
+    objective_tol,
+    primal_tol,
+    dual_tol,
+    termination_target = TERMINATION_TARGET_LOCAL,
+    primal_target = PRIMAL_TARGET_LOCAL,
+)
+    # Test Goals:
+    # - max support
+
+    model = Model(optimizer)
+
+    @variable(model, x)
+
+    @objective(model, Min, max(0.75 + (x - 0.5)^3, 0.75 + (x - 0.5)^2))
+
+    optimize!(model)
+
+    check_status(model, FEASIBLE_PROBLEM, termination_target, primal_target)
+    check_objective(model, 0.75, tol = objective_tol)
+    check_solution([x], [0.5], tol = primal_tol)
+    return
+end
diff --git a/src/nlp/009_010.jl b/src/nlp/009_010.jl
new file mode 100644
index 0000000..37e652f
--- /dev/null
+++ b/src/nlp/009_010.jl
@@ -0,0 +1,29 @@
+# Copyright (c) 2021 MINLPTests.jl contributors
+#
+# Use of this source code is governed by an MIT-style license that can be found
+# in the LICENSE.md file or at https://opensource.org/licenses/MIT.
+
+function nlp_009_010(
+    optimizer,
+    objective_tol,
+    primal_tol,
+    dual_tol,
+    termination_target = TERMINATION_TARGET_LOCAL,
+    primal_target = PRIMAL_TARGET_LOCAL,
+)
+    # Test Goals:
+    # - min support
+
+    model = Model(optimizer)
+
+    @variable(model, x)
+
+    @NLobjective(model, Max, min(0.75 + (x - 0.5)^3, 0.75 - (x - 0.5)^2))
+
+    optimize!(model)
+
+    check_status(model, FEASIBLE_PROBLEM, termination_target, primal_target)
+    check_objective(model, 0.75, tol = objective_tol)
+    check_solution([x], [0.5], tol = primal_tol)
+    return
+end
diff --git a/src/nlp/009_011.jl b/src/nlp/009_011.jl
new file mode 100644
index 0000000..6276b9a
--- /dev/null
+++ b/src/nlp/009_011.jl
@@ -0,0 +1,29 @@
+# Copyright (c) 2021 MINLPTests.jl contributors
+#
+# Use of this source code is governed by an MIT-style license that can be found
+# in the LICENSE.md file or at https://opensource.org/licenses/MIT.
+
+function nlp_009_011(
+    optimizer,
+    objective_tol,
+    primal_tol,
+    dual_tol,
+    termination_target = TERMINATION_TARGET_LOCAL,
+    primal_target = PRIMAL_TARGET_LOCAL,
+)
+    # Test Goals:
+    # - max support
+
+    model = Model(optimizer)
+
+    @variable(model, x)
+
+    @NLobjective(model, Min, max(0.75 + (x - 0.5)^3, 0.75 + (x - 0.5)^2))
+
+    optimize!(model)
+
+    check_status(model, FEASIBLE_PROBLEM, termination_target, primal_target)
+    check_objective(model, 0.75, tol = objective_tol)
+    check_solution([x], [0.5], tol = primal_tol)
+    return
+end