diff --git a/test/parallel/test-assert.js b/test/parallel/test-assert.js
index ca25c9965d0640..74ef705f13305f 100644
--- a/test/parallel/test-assert.js
+++ b/test/parallel/test-assert.js
@@ -240,7 +240,8 @@ assert.throws(
 {
   const re1 = /a/;
   re1.lastIndex = 3;
-  assert.throws(makeBlock(a.deepStrictEqual, re1, /a/));
+  assert.throws(makeBlock(a.deepStrictEqual, re1, /a/),
+                /^AssertionError: \/a\/ deepStrictEqual \/a\/$/);
 }
 
 // 7.4 - strict
@@ -262,10 +263,12 @@ assert.doesNotThrow(makeBlock(a.deepStrictEqual, {a: 4}, {a: 4}));
 assert.doesNotThrow(makeBlock(a.deepStrictEqual,
                               {a: 4, b: '2'},
                               {a: 4, b: '2'}));
-assert.throws(makeBlock(a.deepStrictEqual, [4], ['4']));
+assert.throws(makeBlock(a.deepStrictEqual, [4], ['4']),
+              /^AssertionError: \[ 4 ] deepStrictEqual \[ '4' ]$/);
 assert.throws(makeBlock(a.deepStrictEqual, {a: 4}, {a: 4, b: true}),
-              a.AssertionError);
-assert.throws(makeBlock(a.deepStrictEqual, ['a'], {0: 'a'}));
+              /^AssertionError: { a: 4 } deepStrictEqual { a: 4, b: true }$/);
+assert.throws(makeBlock(a.deepStrictEqual, ['a'], {0: 'a'}),
+              /^AssertionError: \[ 'a' ] deepStrictEqual { '0': 'a' }$/);
 //(although not necessarily the same order),
 assert.doesNotThrow(makeBlock(a.deepStrictEqual,
                               {a: 4, b: '1'},
@@ -342,9 +345,11 @@ function thrower(errorConstructor) {
 assert.throws(makeBlock(thrower, a.AssertionError),
               a.AssertionError, 'message');
 assert.throws(makeBlock(thrower, a.AssertionError), a.AssertionError);
+// eslint-disable-next-line assert-throws-arguments
 assert.throws(makeBlock(thrower, a.AssertionError));
 
 // if not passing an error, catch all.
+// eslint-disable-next-line assert-throws-arguments
 assert.throws(makeBlock(thrower, TypeError));
 
 // when passing a type, only catch errors of the appropriate type
@@ -517,6 +522,7 @@ testAssertionMessage({a: NaN, b: Infinity, c: -Infinity},
 
 // #2893
 try {
+  // eslint-disable-next-line assert-throws-arguments
   assert.throws(function() {
     assert.ifError(null);
   });
diff --git a/test/parallel/test-buffer.js b/test/parallel/test-buffer.js
index 805c8b9e7ac347..a2fdab55b772a8 100644
--- a/test/parallel/test-buffer.js
+++ b/test/parallel/test-buffer.js
@@ -41,11 +41,11 @@ for (const [key, value] of e.entries()) {
 
 assert.throws(function() {
   Buffer(8).fill('a', -1);
-});
+}, /^RangeError: Out of range index$/);
 
 assert.throws(function() {
   Buffer(8).fill('a', 0, 9);
-});
+}, /^RangeError: Out of range index$/);
 
 // Make sure this doesn't hang indefinitely.
 Buffer(8).fill('');
@@ -1433,17 +1433,17 @@ if (common.hasCrypto) {
 assert.throws(function() {
   const b = Buffer(1);
   Buffer.compare(b, 'abc');
-});
+}, /^TypeError: Arguments must be Buffers$/);
 
 assert.throws(function() {
   const b = Buffer(1);
   Buffer.compare('abc', b);
-});
+}, /^TypeError: Arguments must be Buffers$/);
 
 assert.throws(function() {
   const b = Buffer(1);
   b.compare('abc');
-});
+}, /^TypeError: Argument must be a Buffer$/);
 
 // Test Equals
 {
@@ -1461,10 +1461,12 @@ assert.throws(function() {
 assert.throws(function() {
   const b = Buffer(1);
   b.equals('abc');
-});
+}, /^TypeError: Argument must be a Buffer$/);
 
 // Regression test for https://github.com/nodejs/node/issues/649.
-assert.throws(function() { Buffer(1422561062959).toString('utf8'); });
+assert.throws(function() {
+  Buffer(1422561062959).toString('utf8');
+}, /^RangeError: Invalid typed array length$/);
 
 const ps = Buffer.poolSize;
 Buffer.poolSize = 0;
@@ -1474,7 +1476,7 @@ Buffer.poolSize = ps;
 // Test Buffer.copy() segfault
 assert.throws(function() {
   Buffer(10).copy();
-});
+}, /^TypeError: argument should be a Buffer$/);
 
 const regErrorMsg = new RegExp('First argument must be a string, Buffer, ' +
                                'ArrayBuffer, Array, or array-like object.');
diff --git a/test/parallel/test-http-mutable-headers.js b/test/parallel/test-http-mutable-headers.js
index 8f9d597efbec92..2a4b0dc6c1c99b 100644
--- a/test/parallel/test-http-mutable-headers.js
+++ b/test/parallel/test-http-mutable-headers.js
@@ -22,10 +22,18 @@ const cookies = [
 const s = http.createServer(function(req, res) {
   switch (test) {
     case 'headers':
-      assert.throws(function() { res.setHeader(); });
-      assert.throws(function() { res.setHeader('someHeader'); });
-      assert.throws(function() { res.getHeader(); });
-      assert.throws(function() { res.removeHeader(); });
+      assert.throws(() => {
+        res.setHeader();
+      }, /^TypeError: Header name must be a valid HTTP Token \["undefined"\]$/);
+      assert.throws(() => {
+        res.setHeader('someHeader');
+      }, /^Error: "value" required in setHeader\("someHeader", value\)$/);
+      assert.throws(() => {
+        res.getHeader();
+      }, /^Error: "name" argument is required for getHeader\(name\)$/);
+      assert.throws(() => {
+        res.removeHeader();
+      }, /^Error: "name" argument is required for removeHeader\(name\)$/);
 
       res.setHeader('x-test-header', 'testing');
       res.setHeader('X-TEST-HEADER2', 'testing');
diff --git a/test/parallel/test-repl-context.js b/test/parallel/test-repl-context.js
index 2287a247d81bb2..a2f04214311c13 100644
--- a/test/parallel/test-repl-context.js
+++ b/test/parallel/test-repl-context.js
@@ -22,5 +22,5 @@ function testContext(repl) {
   assert.strictEqual(context.global, context);
 
   // ensure that the repl console instance does not have a setter
-  assert.throws(() => context.console = 'foo');
+  assert.throws(() => context.console = 'foo', TypeError);
 }
diff --git a/test/parallel/test-vm-new-script-this-context.js b/test/parallel/test-vm-new-script-this-context.js
index 3df5dc1b5020d5..62aecfed28af4f 100644
--- a/test/parallel/test-vm-new-script-this-context.js
+++ b/test/parallel/test-vm-new-script-this-context.js
@@ -14,7 +14,7 @@ console.error('thrown error');
 script = new Script('throw new Error(\'test\');');
 assert.throws(function() {
   script.runInThisContext(script);
-});
+}, /^Error: test$/);
 
 global.hello = 5;
 script = new Script('hello = 2');