The phrase used in the question, משק ביתי, is rooted in the pasuk describing Eliezer as Avraham's steward, where Rashi (Bereishit 15:2) explains that 'בן משק ביתי' means the one on whose authority the entire household is sustained, an overseer (אפוטרופוס) who would have managed Avraham's affairs had there been no heir. Onkelos (Bereishit 15:2) likewise renders the phrase as 'the manager of my household,' and Midrash Lekach Tov (Bereishit 15:2) preserves the same reading of Eliezer as the one who manages the house. Abarbanel on Torah (Bereishit 15:1:6) probes why Eliezer is called a 'son' of the household management rather than simply its manager, noting the oddity of the term's application.
Other meforshim read the root differently, as longing or gathering rather than management: Ibn Ezra and Ibn Ezra (Bereishit 15:2:2) connect משק to the root שוקק, meaning one who yearns or draws himself and others along, and Rav Samson Raphael Hirsch similarly reads it as one who longs and looks forward, together with his family, to inherit from Avraham. Paaneach Raza (Lech Lecha 39) applies this same reading of משק as longing to Lot rather than Eliezer, who hoped to inherit Avraham.
Beyond the etymology, the sources on the sheet develop the halachic content of a wife's role in running the household. Ketubot 59b lists the tasks a wife performs for her husband — grinding, baking, washing, cooking, nursing, bed-making, and spinning — and ties the scope of her obligation to how many maidservants she brings into the marriage. Ketubot 61a (Ketubot 61a:4-6) and Ketubot 61b (Ketubot 61b:3-4) analyze the boundaries of these obligations, including why she cannot substitute another woman for herself and the exclusion of flax-spinning under Rabbi Yehuda's view. Shulchan Arukh, Even HaEzer 80:1-2 codifies this, ruling that the product of her work belongs to her husband according to local custom, with the Rema adding that this applies specifically where he gives her a weekly stipend.
The corresponding support obligations owed to the wife are laid out in Shulchan Arukh, Even HaEzer 69:2, which lists the ten things a husband owes her — food, clothing, conjugal relations, her ketubah, medical care, ransom, burial, and more — stating that her handiwork corresponds to her sustenance, such that she may opt out of both. Ketubot 64b and Ketubot 47b detail the specific provisions (grain, oil, legumes, bedding, clothing) a husband must supply, and Ketubot 46b and Ketubot 66a address the husband's broader obligations and the division of found property and surplus earnings.
The household is also framed as a domain requiring the husband's active engagement and respect, not merely financial support. Mishneh Torah, Marriage 15:19 instructs a man to honor his wife more than himself and speak to her gently, scaling his generosity to his means, while Mishneh Torah, Human Dispositions 5:11 teaches that a man of understanding first secures a trade, then a home, then a wife — the opposite order of fools — and Mishnah Kiddushin 4:14 likewise stresses that a father must teach his son a clean and easy trade to sustain himself.
Several sources portray the foundational vision of the household itself: Bereishit 2:18 records that it was not good for man to be alone, so God made him a helper opposite him, and Tehillim 128:1-4 and Mishlei 31:13-14 depict the wife as the fruitful, industrious center of the home, seeking wool and flax and bringing bread from afar. Eruvin 53b illustrates a woman's sharp household wisdom in an anecdote about a hostess outwitting Rabbi Yehoshua ben Chananya, and Ketubot 60b discusses the practical rules governing a wet nurse's diet and conduct within a household arrangement.
The home's peace and provisioning take halachic priority elsewhere as well: Shabbat 23b rules that oil for the Shabbat lamp of one's home takes precedence over oil for a Chanukah lamp or wine for kiddush because of shalom bayit, a ruling codified in Shulchan Arukh, Orach Chayim 263:2-3, which adds that women are more responsible for this since they are present in the home and engaged in its needs. Mishneh Torah, Sabbath 30:6 similarly obligates even a prominent person to personally attend to Shabbat household needs as a matter of honor, and Tanya, Part I; Likkutei Amarim 34:6-7 frames one's earnings and charitable giving from labor as making the home a dwelling place for the Divine presence.