1.sederhanakanlah bentuk aljabar ini. a. 5k - 7 + (8k - 1) b. 2 (6v + 2) + 3 (4 - v) c. 5 (x^2 - 2x + 1) - 6 (x - 7x^2 + 3) d. -2 {-3 (-4x - 5)} e. 6x + 3y/3 -

Mapel : Matematika
Kelas : VII SMP
Bab : Aljabar

Pembahasan :
a. 5k - 7 + (8k - 1)
= (8 + 5)k + (-7 - 1)
= 13k - 8

b. 2(6v + 2) + 3(4 - v)
= 12v + 4 + 12 - 3v
= (12 - 3)v + (4 + 12)
= 9v + 16

c. 5(x² - 2x + 1) - 6(x - 7x² + 3)
= 5x² - 10x + 5 - 6x + 42x² - 18
= (5 + 42)x² + (-10 - 6)x + (5 - 18)
= 47x² - 16x - 13

d. -2{-3(-4x - 5)}
= -2{12x + 15}
= -24x - 30

e. 6x + 3y/3 - 2(y + 1)
= 6x + y - 2y - 2
= 6x - y - 2

f. (-5p - 15q)/3 + (3p - 2q) x 4
= (-5p - 15q)/3 + 12p - 8q
= (-5p - 15q)/3 + (36p - 24q)/3
= (31p - 39q)/3

g. 28m - 7n - 12/7 + 18m - 36n - 42/6
= 46m - 43n - 12/7 - 7
= 46m - 43n - (61/7)

h. 4(24y² + 33y - 12)/3 - 5(26y² - 10y - 8)/2
= 4(8y² + 11y - 4) - 5(13y² - 5y - 4)
= 32y² + 44y - 16 - 65y² + 25y + 20
= -33y² + 69y - 4