Psalm 9:15

לְמַעַן אֲסַפְּרָה כָּל־תְּהִלָּתֶיךָ בְּשַׁעֲרֵי בַת־צִיֹּון אָגִילָה בִּישׁוּעָתֶךָ׃

Rough Word-by-word:
For the sake of I will declare all the praises of you in gates of the daughter of Zion I will rejoice in the salvation of you.

Smooth Translation:
That I will declare all your praises in the gates of the daughter of Zion. I will rejoice in your salvation.

לְמַעַן preposition "for the sake of"

אֲסַפְּרָה Piel imperfect 1cs from סָפַר (he recounted) "I will declare"

כָּל־תְּהִלָּתֶיךָ adjective with noun fp in construct with 2ms pronominal suffix "all the praises of you"

בְּשַׁעֲרֵי preposition and noun mp in construct "in gates of "

בַת־צִיֹּון noun fs in construct with proper noun fs "[the] daughter of Zion"

אָגִילָה Qal imperfect 1cs from גִּיל (he rejoiced) "I will rejoice" (I thought Hiphil because of the a-i vowel pattern, but it is a doubly weak verb...)

בִּישׁוּעָתֶךָ preposition with noun fs in construct with 2ms pronominal suffix "In the salvation of you"

Psalm 9:14

חָנְנֵנִי יְהוָה רְאֵה עָנְיִי מִשֹּׂנְאָי מְרֹומְמִי מִשַּׁעֲרֵי מָוֶת׃

Rough Word-by-word:
Be gracious to me, LORD. See the poor of me from those hating me, one being high of me from gates of death.

Smooth Translation:
Be gracious to me, LORD. See my poverty from those who hate me, higher than me from the gates of death.

Notes:
I'm not quite sure how to translate the Polel participle here. Soncino says, "Thou that liftest me up from the gates of death."
I'm taking it more as an appositive of LORD.

חָנְנֵנִי Qal imperative 2ms with 1cs pronominal suffix from הָנַן (he was gracious) "be gracious to me"

יְהוָה tetragrammaton "LORD"

רְאֵה Qal imperative 2ms from רָאָה (he saw) "see"

עָנְיִי noun ms in construct with 1cs pronominal suffix "[the] poor of me"

מִשֹּׂנְאָי preposition and Qal active participle mp in construct with 1cs pronominal suffix from שָׂנֵא (be hateful) "from those hating me"

מְרֹומְמִי Polel participle ms in construct with 1cs pronominal suffix from רוּם (he high) "one being high of me"

מִשַּׁעֲרֵי preposition and noun mp in construct "from gates of"

מָוֶת noun ms "death"

Psalm 9:13

כִּי־דֹרֵשׁ דָּמִים אֹותָם זָכָר לֹא־שָׁכַח צַעֲקַת עֲנִיִּים כ עֲנָוִים׃ ק

Rough Word-by-word:
For the one seeking bloods them he remembered. Not he forgot the cry of poor ones.

Smooth Translation:
For the one seeking blood remembered them. He did not forget the cry of the poor.

כִּי־דֹרֵשׁ preposition with Qal active participle ms from דָרַשׁ (he sought, he inquired) "for the one seeking"

דָּמִים noun mp "bloods"

אֹותָם sign of direct object with 3mp pronominal suffix "them"

זָכָר Qal perfect 3ms from זָכַר (he remembered) "he remembered)

לֹא־שָׁכַח adverb of negation with Qal perfect 3ms from  שָׁכַח (he forgot) "not he forgot"

צַעֲקַת noun fs in construct "[the] cry of"

עֲנִיִּים כ adjective mp "poor [ones]" (Kethib) (note the lamed yod changes to a vav in the Qere)

עֲנָוִים׃ ק adjective mp "poor [ones]" (Qere)

Psalm 9:12

זַמְּרוּ לַיהוָה יֹשֵׁב צִיֹּון הַגִּידוּ בָעַמִּים עֲלִילֹותָיו׃

Rough Word-by-word:
You all sing intensely to the LORD sitting in Zion. You all cause to make known in the people the deeds of him.

Smooth Translation:
Sing to the LORD who sits in Zion. Make known in the people his deeds.

זַמְּרוּ Piel imperative 2mp from זָמַר (he sang) "you all sing intensely"

לַיהוָה preposition with tetragrammaton "to the LORD"

יֹשֵׁב Qal active participle ms from יָשַׁב (he sat) "sitting"

צִיֹּון proper noun fs "[in] Zion"

הַגִּידוּ Hiphil imperative 2mp from נָגַד (he made known) "you all cause to make known"

בָעַמִּים preposition and definite article with noun mp "in the people"

עֲלִילֹותָיו noun fp in construct with 3ms pronominal suffix "[the] deeds of him"

Psalm 9:11

וְיִבְטְחוּ בְךָ יֹודְעֵי שְׁמֶךָ כִּי לֹא־עָזַבְתָּ דֹרְשֶׁיךָ יְהוָה׃

Rough Word-by-word:
And they will trust in you ones knowing the name of you as not you forsook ones inquiring of you, LORD.

Smooth Translation:
And the ones who know your name will trust in you, for you have not forsaken those who seek you, LORD.

וְיִבְטְחוּ conjunction and Qal imperfect 3mp from בָּטָח ( he trusted) "and they will trust"

בְךָ preposition with 2ms pronominal suffix "in you"

יֹודְעֵי Qal active participle mp in construct from יָדַע (he knew) "ones knowing of"

שְׁמֶךָ noun ms with 2ms pronominal suffix "[the] name of you"

כִּי preposition "like, as"

לֹא־עָזַבְתָּ adverb of negation with Qal perfect 2ms from עָזַב (he forsook) "not you forsook"

דֹרְשֶׁיךָ Qal active participle mp with 2ms pronominal suffix from דָּרַש (he sought, he inquired) "ones inquiring of you"

יְהוָה Tetragrammaton "LORD"

Psalm 9:10

וִיהִי יְהוָה מִשְׂגָּב לַדָּךְ מִשְׂגָּב לְעִתֹּות בַּצָּרָה׃

Rough Word-by-word:
and he will be the LORD a high place for the oppressed, a high place for seasons of distress

Smooth Translation:
And the LORD will be a high place for the oppressed, a high place for seasons of distress.

וִיהִי conjunction with Qal imperfect 3ms from הָיָה (he was) "and he will be"

יְהוָה Tetragrammaton "the LORD"

מִשְׂגָּב noun ms "a high place"

לַדָּךְ preposition with definite article and adjective ms "for the oppressed"

מִשְׂגָּב noun ms "a high place"

לְעִתֹּות preposition with noun fp "for seasons of"

בַּצָּרָה noun fs "distress"

Psalm 9:9

וְהוּא יִשְׁפֹּט־תֵּבֵל בְּצֶדֶק יָדִין לְאֻמִּים בְּמֵישָׁרִים׃
Rough Word-by-word:
and he he will judge the world in righteousness and he will contend for peoples in uprightness.

Smooth Translation:
And he, himself, will judge the world in righteousness and he will contend for people in uprightness.

וְהוּא conjunction and pronoun 3ms "and he"

יִשְׁפֹּט־תֵּבֵל Qal imperfect 3ms from שָׁפַט ( he judged) and noun fs "he will judge [the] world"

בְּצֶדֶק preposition with noun fs "in righteousness"

יָדִין Qal imperfect 3ms from דִּין (he judged, he contended) "he will contend"

לְאֻמִּים preposition and noun mp "to, for peoples"

בְּמֵישָׁרִים preposition and noun mp "in straightness, in uprightness"