diff --git a/t/t1001-mf-priority-basic.t b/t/t1001-mf-priority-basic.t
index 5bddbd74..ada5d6c9 100755
--- a/t/t1001-mf-priority-basic.t
+++ b/t/t1001-mf-priority-basic.t
@@ -19,6 +19,7 @@ test_expect_success 'allow guest access to testexec' '
 	allow-guests = true
 	EOF
 '
+
 test_expect_success 'load multi-factor priority plugin' '
 	flux jobtap load -r .priority-default ${MULTI_FACTOR_PRIORITY}
 '
@@ -96,6 +97,10 @@ test_expect_success 'update plugin with sample test data' '
 	flux python fake_payload.py
 '
 
+# The following set of tests will check the integer priority calculated by the
+# priority plugin for two associations. The fair-share of the first association
+# is 0.45321 and the fair-share of the second is 0.11345. In addition, job
+# priorities get affected if the user sets a custom urgency on their job.
 test_expect_success 'submit a job with default urgency' '
 	jobid=$(flux submit --setattr=system.bank=account3 -n1 hostname) &&
 	flux job wait-event -f json ${jobid} priority | jq '.context.priority' > job1.test &&
@@ -156,6 +161,9 @@ test_expect_success 'submit a job using default bank' '
 	flux cancel ${jobid}
 '
 
+# The following two tests ensure job submissions are rejected when a user
+# tries to submit a job under a bank they do not belong to or when the format
+# of the bank is not valid.
 test_expect_success 'submit a job using a bank the user does not belong to' '
 	test_must_fail flux submit --setattr=system.bank=account1 -n1 hostname > bad_bank.out 2>&1 &&
 	test_debug "cat bad_bank.out" &&
@@ -168,6 +176,10 @@ test_expect_success 'reject job when invalid bank format is passed in' '
 	grep "unable to unpack bank arg" invalid_fmt.out
 '
 
+# This set of tests simulates a special case where a portion of the Association
+# object that is kept with every job is missing, and therefore, an exception on
+# the job is raised with a message explaining that it cannot load the
+# information for the job.
 test_expect_success 'pass special key to user/bank struct to nullify information' '
 	cat <<-EOF >null_struct.json
 	{
diff --git a/t/t1002-mf-priority-small-no-tie.t b/t/t1002-mf-priority-small-no-tie.t
index e0fbc977..a2ad88df 100755
--- a/t/t1002-mf-priority-small-no-tie.t
+++ b/t/t1002-mf-priority-small-no-tie.t
@@ -20,6 +20,7 @@ test_expect_success 'allow guest access to testexec' '
 	allow-guests = true
 	EOF
 '
+
 test_expect_success 'load multi-factor priority plugin' '
 	flux jobtap load -r .priority-default ${MULTI_FACTOR_PRIORITY}
 '
diff --git a/t/t1003-mf-priority-small-tie.t b/t/t1003-mf-priority-small-tie.t
index 0b4baa80..3d06a081 100755
--- a/t/t1003-mf-priority-small-tie.t
+++ b/t/t1003-mf-priority-small-tie.t
@@ -20,6 +20,7 @@ test_expect_success 'allow guest access to testexec' '
 	allow-guests = true
 	EOF
 '
+
 test_expect_success 'load multi-factor priority plugin' '
 	flux jobtap load -r .priority-default ${MULTI_FACTOR_PRIORITY}
 '
diff --git a/t/t1004-mf-priority-small-tie-all.t b/t/t1004-mf-priority-small-tie-all.t
index 7b5a032a..522957b5 100755
--- a/t/t1004-mf-priority-small-tie-all.t
+++ b/t/t1004-mf-priority-small-tie-all.t
@@ -20,6 +20,7 @@ test_expect_success 'allow guest access to testexec' '
 	allow-guests = true
 	EOF
 '
+
 test_expect_success 'load multi-factor priority plugin' '
 	flux jobtap load -r .priority-default ${MULTI_FACTOR_PRIORITY}
 '
diff --git a/t/t1005-max-jobs-limits.t b/t/t1005-max-jobs-limits.t
index a4746d9a..f57f95bb 100755
--- a/t/t1005-max-jobs-limits.t
+++ b/t/t1005-max-jobs-limits.t
@@ -19,6 +19,7 @@ test_expect_success 'allow guest access to testexec' '
 	allow-guests = true
 	EOF
 '
+
 test_expect_success 'load multi-factor priority plugin' '
 	flux jobtap load -r .priority-default ${MULTI_FACTOR_PRIORITY}
 '
@@ -85,6 +86,13 @@ test_expect_success 'add a default queue and send it to the plugin' '
 	flux python fake_payload.py
 '
 
+# The following set of tests will check that the priority plugin enforces
+# accounting limits defined per-association in the flux-accounting database,
+# specifically an association's max running jobs and max active jobs limit.
+# When the association hits their max running jobs limit, subsequently
+# submitted jobs will be held by having an accounting-specific dependency added
+# to it. Once they hit their max active jobs limit, subsequently submitted jobs
+# will be rejected with an accounting-specific rejection message.
 test_expect_success 'submit max number of jobs' '
 	jobid1=$(flux python ${SUBMIT_AS} 5011 sleep 60) &&
 	jobid2=$(flux python ${SUBMIT_AS} 5011 sleep 60)
@@ -117,7 +125,7 @@ test_expect_success 'a submitted job while at max-running-jobs limit will have a
 	flux cancel ${jobid2}
 '
 
-test_expect_success 'submit max number of jobs with a mix of default bank and explicitly set bank' '
+test_expect_success 'submit max number of jobs to the same bank (explicitly and by default)' '
 	jobid1=$(flux python ${SUBMIT_AS} 5011 sleep 60) &&
 	jobid2=$(flux python ${SUBMIT_AS} 5011 --setattr=system.bank=account3 -n 1 sleep 60)
 '
diff --git a/t/t1008-mf-priority-update.t b/t/t1008-mf-priority-update.t
index f45566e8..6be94824 100755
--- a/t/t1008-mf-priority-update.t
+++ b/t/t1008-mf-priority-update.t
@@ -19,6 +19,7 @@ test_expect_success 'allow guest access to testexec' '
 	allow-guests = true
 	EOF
 '
+
 test_expect_success 'create flux-accounting DB' '
 	flux account -p $(pwd)/FluxAccountingTest.db create-db
 '
diff --git a/t/t1011-job-archive-interface.t b/t/t1011-job-archive-interface.t
index 0cec115b..69710e64 100755
--- a/t/t1011-job-archive-interface.t
+++ b/t/t1011-job-archive-interface.t
@@ -139,7 +139,7 @@ test_expect_success 'check that job usage and fairshare values get updated' '
 '
 
 # if update-usage is called in the same half-life period when no jobs are found
-# for a user, their job usage factor should be affected; this test is taken
+# for a user, their job usage factor should not be affected; this test is taken
 # from the set of job-archive interface Python unit tests
 test_expect_success 'call update-usage in the same half-life period where no jobs are run' '
 	flux account -p ${DB_PATH} update-usage &&
diff --git a/t/t1012-mf-priority-load.t b/t/t1012-mf-priority-load.t
index 04e307c5..58f5bfbc 100755
--- a/t/t1012-mf-priority-load.t
+++ b/t/t1012-mf-priority-load.t
@@ -75,6 +75,14 @@ test_expect_success 'create fake_payload.py' '
 	EOF
 '
 
+# The following test simulates the following scenario: a user submits a job to
+# a bank they do not have access to with the priority plugin loaded BEFORE it
+# is updated with flux-accounting information (i.e the plugin knows nothing
+# about which users belong to which bank). The plugin is then updated with the
+# flux-accounting information, and while looping through the job.state.priority
+# callback for each job, discovers that this submitted job comes from a user
+# who does not have access to the bank they submitted this job under.
+# Therefore, an exception is raised on the job.
 test_expect_success 'submitting a job specifying an incorrect bank with no user data results in a job exception' '
 	jobid0=$(flux submit --setattr=system.bank=account4 -n1 sleep 60) &&
 	flux python fake_payload.py &&
@@ -88,6 +96,11 @@ test_expect_success 'unload and reload mf_priority.so' '
 	flux jobtap list | grep mf_priority
 '
 
+# The following set of tests simulates an association submitting a job while
+# the priority plugin is loaded BEFORE it is updated with flux-accounting
+# information. The plugin holds the job while it waits to receive accounting
+# information, and once it is updated, will annotate the job with the bank name
+# and allow it to proceed to run.
 test_expect_success 'submit sleep 60 jobs with no data update' '
 	jobid1=$(flux submit -n1 sleep 60)
 '
@@ -131,6 +144,9 @@ test_expect_success 'unload mf_priority.so' '
 	flux jobtap remove mf_priority.so
 '
 
+# The following set of tests makes sure that if a job is held before the plugin
+# is successfully loaded and is updated with flux-accounting information, the
+# job can still successfully transition to RUN state.
 test_expect_success 'submit a job with no plugin loaded' '
 	jobid4=$(flux submit -n 1 sleep 60) &&
 	flux job wait-event -vt 60 ${jobid4} depend
diff --git a/t/t1013-mf-priority-queues.t b/t/t1013-mf-priority-queues.t
index b00fafc2..37393103 100755
--- a/t/t1013-mf-priority-queues.t
+++ b/t/t1013-mf-priority-queues.t
@@ -22,6 +22,7 @@ test_expect_success 'allow guest access to testexec' '
 	allow-guests = true
 	EOF
 '
+
 test_expect_success 'create flux-accounting DB' '
 	flux account -p $(pwd)/FluxAccountingTest.db create-db
 '
diff --git a/t/t1015-mf-priority-urgency.t b/t/t1015-mf-priority-urgency.t
index 30108c35..8388d73e 100755
--- a/t/t1015-mf-priority-urgency.t
+++ b/t/t1015-mf-priority-urgency.t
@@ -19,6 +19,7 @@ test_expect_success 'allow guest access to testexec' '
 	allow-guests = true
 	EOF
 '
+
 test_expect_success 'load multi-factor priority plugin' '
 	flux jobtap load -r .priority-default ${MULTI_FACTOR_PRIORITY}
 '
diff --git a/t/t1019-mf-priority-info-fetch.t b/t/t1019-mf-priority-info-fetch.t
index 67eddc42..6f6dbf37 100755
--- a/t/t1019-mf-priority-info-fetch.t
+++ b/t/t1019-mf-priority-info-fetch.t
@@ -19,6 +19,7 @@ test_expect_success 'allow guest access to testexec' '
 	allow-guests = true
 	EOF
 '
+
 test_expect_success 'create flux-accounting DB' '
 	flux account -p $(pwd)/FluxAccountingTest.db create-db
 '
diff --git a/t/t1020-mf-priority-issue262.t b/t/t1020-mf-priority-issue262.t
index 767641d3..af311063 100755
--- a/t/t1020-mf-priority-issue262.t
+++ b/t/t1020-mf-priority-issue262.t
@@ -20,6 +20,7 @@ test_expect_success 'allow guest access to testexec' '
 	allow-guests = true
 	EOF
 '
+
 test_expect_success 'create flux-accounting DB' '
 	flux account -p $(pwd)/FluxAccountingTest.db create-db
 '
diff --git a/t/t1021-mf-priority-issue332.t b/t/t1021-mf-priority-issue332.t
index 0cb6f61e..451ab67e 100755
--- a/t/t1021-mf-priority-issue332.t
+++ b/t/t1021-mf-priority-issue332.t
@@ -23,6 +23,7 @@ test_expect_success 'allow guest access to testexec' '
 	allow-guests = true
 	EOF
 '
+
 test_expect_success 'create flux-accounting DB' '
 	flux account -p $(pwd)/FluxAccountingTest.db create-db
 '
diff --git a/t/t1022-mf-priority-issue346.t b/t/t1022-mf-priority-issue346.t
index 18bc21cc..886a00dc 100755
--- a/t/t1022-mf-priority-issue346.t
+++ b/t/t1022-mf-priority-issue346.t
@@ -22,6 +22,7 @@ test_expect_success 'allow guest access to testexec' '
 	allow-guests = true
 	EOF
 '
+
 test_expect_success 'create flux-accounting DB' '
 	flux account -p $(pwd)/FluxAccountingTest.db create-db
 '
diff --git a/t/t1027-mf-priority-issue376.t b/t/t1027-mf-priority-issue376.t
index 28ba34c9..f35ec019 100755
--- a/t/t1027-mf-priority-issue376.t
+++ b/t/t1027-mf-priority-issue376.t
@@ -21,6 +21,7 @@ test_expect_success 'allow guest access to testexec' '
 	allow-guests = true
 	EOF
 '
+
 test_expect_success 'create flux-accounting DB' '
 	flux account -p $(pwd)/FluxAccountingTest.db create-db
 '
diff --git a/t/t1028-mf-priority-issue385.t b/t/t1028-mf-priority-issue385.t
index e0287e84..d79c0827 100755
--- a/t/t1028-mf-priority-issue385.t
+++ b/t/t1028-mf-priority-issue385.t
@@ -21,6 +21,7 @@ test_expect_success 'allow guest access to testexec' '
 	allow-guests = true
 	EOF
 '
+
 test_expect_success 'create flux-accounting DB, start flux-accounting service' '
 	flux account -p $(pwd)/FluxAccountingTest.db create-db &&
 	flux account-service -p ${DB_PATH} -t
diff --git a/t/t1029-mf-priority-default-bank.t b/t/t1029-mf-priority-default-bank.t
index b10e9b59..7115be87 100755
--- a/t/t1029-mf-priority-default-bank.t
+++ b/t/t1029-mf-priority-default-bank.t
@@ -19,6 +19,7 @@ test_expect_success 'allow guest access to testexec' '
 	allow-guests = true
 	EOF
 '
+
 test_expect_success 'load multi-factor priority plugin' '
 	flux jobtap load -r .priority-default ${MULTI_FACTOR_PRIORITY}
 '
diff --git a/t/t1030-mf-priority-update-queue.t b/t/t1030-mf-priority-update-queue.t
index d0c4d1c1..6049a420 100755
--- a/t/t1030-mf-priority-update-queue.t
+++ b/t/t1030-mf-priority-update-queue.t
@@ -22,6 +22,7 @@ test_expect_success 'allow guest access to testexec' '
 	allow-guests = true
 	EOF
 '
+
 test_expect_success 'create flux-accounting DB' '
 	flux account -p $(pwd)/FluxAccountingTest.db create-db
 '
diff --git a/t/t1031-mf-priority-issue406.t b/t/t1031-mf-priority-issue406.t
index e96a45ce..2443e616 100755
--- a/t/t1031-mf-priority-issue406.t
+++ b/t/t1031-mf-priority-issue406.t
@@ -19,6 +19,7 @@ test_expect_success 'allow guest access to testexec' '
 	allow-guests = true
 	EOF
 '
+
 test_expect_success 'create flux-accounting DB' '
 	flux account -p $(pwd)/FluxAccountingTest.db create-db
 '
diff --git a/t/t1032-mf-priority-update-bank.t b/t/t1032-mf-priority-update-bank.t
index 3c00b8fe..33946b5f 100755
--- a/t/t1032-mf-priority-update-bank.t
+++ b/t/t1032-mf-priority-update-bank.t
@@ -21,6 +21,7 @@ test_expect_success 'allow guest access to testexec' '
 	allow-guests = true
 	EOF
 '
+
 test_expect_success 'create flux-accounting DB' '
 	flux account -p $(pwd)/FluxAccountingTest.db create-db
 '
diff --git a/t/t1033-mf-priority-update-job.t b/t/t1033-mf-priority-update-job.t
index 9687bff2..68d9a1ca 100755
--- a/t/t1033-mf-priority-update-job.t
+++ b/t/t1033-mf-priority-update-job.t
@@ -22,6 +22,7 @@ test_expect_success 'allow guest access to testexec' '
 	allow-guests = true
 	EOF
 '
+
 test_expect_success 'create flux-accounting DB' '
 	flux account -p $(pwd)/FluxAccountingTest.db create-db
 '