EXERCÍCIOS SOBRE EXPRESSÕES ALGÉBRICAS E MONÔMIOS

1)Calcule o valor numérico das expressões algébricas:

a)3m – 2n, para m=11 e n=–12
b)x² – 6x, para x = – 5
c)x²  – 9x + 14, para x = 2
d)(a – 2)(a – 1)(a – 4), para     a = – 1

e)b² – 4ac, para a = 1, b = 2 e             c = – 15.

f)m² – 2mn + n², quando m = –1 e      n = ¼.
g)3(x² – y²) – 10(x + y)(x – y), quando  x = – 2 e y = 2.

2)     Efetue as operações indicadas:

a)(2x³ – 3x² + x – 1) + (5x³ + 6x² – 7x + 3)
b)(– 8y² – 12y + 5) + (7y² – 8)
c)(2ax³ – 5a²x – 4by) + (5ax³ + 7a²x + 6by)
d)(a² – b²) + (a² – 3b² – c) + (5c – 2b² – a²)
e)(3y² – 2y – 6) – (7y² + 8y + 5)
f)(8x³ – 4x² + 3x – 5) – (6x³ – 7x² + 5x – 9)
g)(2x³ – 3x + 1) – (– 4x² + 3)
h)(2x³ – 5x² + 8x – 1) – (– 3x³ + 5x² – 5x + 6)
i)(x² – 5xy + y²) + (3x² – 7xy + 3y²) – (4y² – x²)

3)Calcule os produtos entre os monômios:

a)(2x) . (3x²)
b)(–3y) . (4y²)
c)(5a) . (–3b)
d)(–4x²y) . (–3xy²)
e)(–5ab). (3a)
f)(–a²b).(ab³c)
g)(–m) . (–3m²) . (2m³)
h)(–4a).( –3b). (2ab)

4)Calcule os quocientes entre monômios:

a)(–12a) : (–3a)
b)(–20a⁵) : (4a²)
c)(36xy³) : (4y)
d)(18xy³) : (–2x)
e)(–14xy³) : (–-7xy²)
f)(–24a³b²) : (4ab⁵)
g)(–2ab) : (3b)
h)(5x³y) : (–-7x⁴y)

5)Calcule as potências:

a)(–3x)²
b)(–3x²)²
c)(–3x)⁰
d)(6x²y)²
e)(–2a³b²)³
f)(4a³)³

DIVIRTA-SE !!!!!!