diff --git a/test/functional/wallet_basic.py b/test/functional/wallet_basic.py
--- a/test/functional/wallet_basic.py
+++ b/test/functional/wallet_basic.py
@@ -340,6 +340,7 @@
         txObj = self.nodes[0].gettransaction(txId)
         assert_equal(txObj['amount'], Decimal('-0.0001'))
 
+        # General checks for errors from incorrect inputs
         # This will raise an exception because the amount type is wrong
         assert_raises_rpc_error(-3, "Invalid amount",
                                 self.nodes[0].sendtoaddress, self.nodes[2].getnewaddress(), "1f-4")
@@ -348,6 +349,64 @@
         assert_raises_rpc_error(-1, "not an integer",
                                 self.nodes[0].generate, "2")
 
+        # This will raise an exception for the invalid private key format
+        assert_raises_rpc_error(-5,
+                                "Invalid private key encoding",
+                                self.nodes[0].importprivkey,
+                                "invalid")
+
+        # This will raise an exception for importing an address with the PS2H
+        # flag
+        temp_address = self.nodes[1].getnewaddress()
+        assert_raises_rpc_error(-5,
+                                "Cannot use the p2sh flag with an address - use a script instead",
+                                self.nodes[0].importaddress,
+                                temp_address,
+                                "label",
+                                False,
+                                True)
+
+        # This will raise an exception for attempting to dump the private key
+        # of an address you do not own
+        assert_raises_rpc_error(-4,
+                                "Private key for address",
+                                self.nodes[0].dumpprivkey,
+                                temp_address)
+
+        # This will raise an exception for attempting to get the private key of
+        # an invalid Bitcoin address
+        assert_raises_rpc_error(-5,
+                                "Invalid Bitcoin address",
+                                self.nodes[0].dumpprivkey,
+                                "invalid")
+
+        # This will raise an exception for attempting to set a label for an
+        # invalid Bitcoin address
+        assert_raises_rpc_error(-5,
+                                "Invalid Bitcoin address",
+                                self.nodes[0].setlabel,
+                                "invalid address",
+                                "label")
+
+        # This will raise an exception for importing an invalid address
+        assert_raises_rpc_error(-5,
+                                "Invalid Bitcoin address or script",
+                                self.nodes[0].importaddress,
+                                "invalid")
+
+        # This will raise an exception for attempting to import a pubkey that
+        # isn't in hex
+        assert_raises_rpc_error(-5,
+                                "Pubkey must be a hex string",
+                                self.nodes[0].importpubkey,
+                                "not hex")
+
+        # This will raise an exception for importing an invalid pubkey
+        assert_raises_rpc_error(-5,
+                                "Pubkey is not a valid public key",
+                                self.nodes[0].importpubkey,
+                                "5361746f736869204e616b616d6f746f")
+
         # Import address and private key to check correct behavior of spendable unspents
         # 1. Send some coins to generate new UTXO
         address_to_import = self.nodes[2].getnewaddress()