1. Tentukanlah Jawaban dari soal berikut

ini!

• a. 5x + 3y dan 2x - 3y

= 5x + 3y + 2x - 3y

= 5x + 2x + 3y - 3y

= 7x

• b. 4a + b - 3c - d dan 2a + 3b - 2c + 3d

= 4a + b - 3c - d + 2a + 3b - 2c + 3d

= 4a + 2a + b + 3b - 3c - 2c - d + 3d

= 6a + 4b - 5c + 2d

• c. 3a + 5b + 3c + 6d dan 6a - 7b - 7c - 2d

= 3a + 5b + 3c + 6d + 6a - 7b - 7c - 2d

= 3a + 6a + 5b - 7b + 3c - 7c + 6d - 2d

= 9a - 2b - 4c + 4d

• d. 5p + 2r - 3s + 6t dan 7p - 2r - 3s - 6t

= 5p + 2r - 3s + 6t + 7p - 2r - 3s - 6t

= 5p + 7p + 2r - 2r - 3s - 3s + 6t - 6t

= 12p - 6s

• e. 4x - 2y - 4z - 8 dan 4x + 2y + 5z + 8

= 4x - 2y - 4z - 8 + 4x + 2y + 5z + 8

= 4x + 4x - 2y + 2y - 4z + 5z - 8 + 8

= 8x + z

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2. Jika a = 2, b = 3, c = 5, hitunglah hasil

operasi aljabar berikut ini!

• a. a + b + c

= a + b + c

= 2 + 3 + 5

= 5 + 5

= 10

• b. a + b - c

= a + b - c

= 2 + 3 - 5

= 5 - 5

= 0

• c. a + b - 2c

= a + b - 2c

= 2 + 3 - 2(5)

= 5 - 10

= -5

• d. a - b + c

= a - b + c

= 2 - 3 + 5

= -1 + 5

= 4

• e. a + 2b - 2c

= a + 2b - 2c

= 2 + 2(3) - 2(5)

= 2 + 6 - 10

= 6 - 10

= -4

3. Hitunglah perkalian berikut ini!

• a. 2(2a + b)

= 2(2a + b)

= (2 × 2)a + (2 × b)

= 4a + 2b

• b. 5(2a - c)

= 5(2a - c)

= (5 × 2)a - (5 × c)

= 10a - 5c

• c. -3(4a - 3b)

= -3(4a - 3b)

= (-3 × 4)a - (-3 × 3b)

= -12a - 9b

• d. (2a + 5) (a + 2)

= (2a + 5)(a + 2)

= (2a × a) (2 × 2)a (5 × a) (5 × 2)

= 2a² + 4a + 5a + 10

• e. (5x - 2) (x - 3)

= (5x × x) (5 × -3)x (-2 × x) (-2 × -3)

= 5x² - 15x - 2x + 6

= 5x² - 17x + 6

• f. (3x - 5) (x + 3)

= (3x - 5) (x + 3)

= (3x × x) (3 × 3)x (-5 × x) (-5 × 3)

= 3x² + 9x - 5x - 15

= 3x² + 4x - 15

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Detail Jawaban :

• Mapel : MTK (Matematika)
• School : SMP
• Class : VII
• Materi : Bentuk Aljabar
• Kata Kunci : penjumlahan dan perkalian dalam bentuk aljabar

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