Psalm 9:18

יָשׁוּבוּ רְשָׁעִים לִשְׁאֹולָה כָּל־גֹּויִם שְׁכֵחֵי אֱלֹהִים׃

Rough Word-by-word:
They will return wicked ones to Sheol all nations forgetful of God.

Smooth Translation:
Wicked ones will return to Sheol, all nations forgetful of God.

יָשׁוּבוּ Qal imperfect 3mp from שׁוּב (he returned) "they will return"

רְשָׁעִים adjective mp "wicked ones"

לִשְׁאֹולָה preposition and noun fs with directional heh "to Sheol"

כָּל־גֹּויִם adjective with noun mp "all nations"

שְׁכֵחֵי adjective mp in construct "forgetful of"

אֱלֹהִים noun mp "Elohim, God"

Psalm 9:17

נֹודַע ׀ יְהוָה מִשְׁפָּט עָשָׂה בְּפֹעַל כַּפָּיו נֹוקֵשׁ רָשָׁע הִגָּיֹון סֶלָה׃

Rough Word-by-word:
He was known the LORD judgment he made in deed palms of his hand striking [the] wicked one. Haggaion. Selah.

Smooth Translation:
The LORD was known. He made judgment in deed. The palms of his hand striking the wicked one. Haggaion. Selah.

Alternative Translation:
The LORD was known. He made judgement. In the work of his hand striking the wicked one.

Notes:
It seems translators want to take the works in which the wicked are struck or snared as the works of their own hands. I would take both as grammatically possible.

נֹודַע Niphal perfect 3ms from יָדַע (he knew) "he was known"

יְהוָה tetragrammaton - the divine name "the LORD"

מִשְׁפָּט noun ms "judgment"

עָשָׂה Qal perfect 3ms from עָשָׂה (he made, he did) "he made"

בְּפֹעַל preposition with noun ms "in deed"

כַּפָּיו noun dual in construct with pronominal suffix 3ms "palms of his hand"

נֹוקֵשׁ Qal active participle ms from נָקַש (he struck, he knocked) "striking" (note: Owen says, "some rd. נוֹקַשׁ Ni. Pf. 3 m.s. from יָקֹשׁ = are snared)

רָשָׁע adjective ms "wicked one"

הִגָּיֹון noun ms "meditation" (note: Soncino includes this and the following word together as "Directions for a musical interlude." Soncino also says of both words together, "it suggests a solemn, meditative melody.")

סֶלָה perhaps an expression of direction to the musicians (note: BibleWorks 4 calls it an "interjection," meaning "lift up, exalt")

Psalm 9:16

טָבְעוּ גֹויִם בְּשַׁחַת עָשׂוּ בְּרֶשֶׁת־זוּ טָמָנוּ נִלְכְּדָה רַגְלָם׃

Rough Word-by-word:
They sank down nations in a pit they made in the net such they hid they are captured the feet of them.

Smooth Translation:
The nations sank down in a pit they made. In the net they hid their feet are captured.

טָבְעוּ Qal perfect 3cp from טָבַע (he sank down) "they sank down"

גֹויִם noun mp "nations"

בְּשַׁחַת preposition with noun fs "in a pit"

עָשׂוּ Qal perfect 3cp from עָשָׂה (he did, he made) "they made"

בְּרֶשֶׁת־זוּ preposition and noun fs with adverb "in [the] net such"

טָמָנוּ Qal perfect 3cp from טָמֵן (hide, conceal) "they hid"

נִלְכְּדָה Niphal perfect 3fs from לָכַד (he captured) "they are captured"

רַגְלָם noun fs in construct with 3mp pronominal suffix "[the] feet of them"

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"