Тренажеры по алгебре 7 класса

Умножение одночлена на многочлен         

Выполните умножение:

а)  р(а+б)=                                                       б) – y(k+c)=

в) a(k+c-3) =                                                     г) -x(a-b+1=

д) 5a2(2-a)=                                                        е) -7x3(x5+3x)=

ж) -8b3(b-2b2)=                                                     з) (y15+y20) 12y23=

и) 2m4(m5-m3-1)=                                                к)  2x(3x2+5xy-y2)=

л) -3c(c3+c - 4)=                                                   м)  b5(b6 – 5b3+b – 3)=

н) (8a2 – 4a+16) 0,25а=                                         о) - 9p( - 2p4+p2 – 2p+1)=                                

Умножение одночлена на многочлен

Упростите выражение:

а) 5(a+2) + (a+2)=                                              б)  (x – 3) – 3(x – 3)=

в) 7(x – 7) – 3(x – 3)=                                          г)15(8x – 1) – 8(15x+4)=

д) 2x(x+1) – 4x(2 – x)=                                        е) 2y(2x – 3y) – 3y(5y – 3x)=

ж) 3c(c+d)+3d(c – d)=                                          з)  5b(3a – b) – 3a(5b+a) =

и) x(x2+x) – (x2+x+1) =                                         к) 2y2(6y – 1)+3y(y – 4y2) =

л) a(2a2 – 3n) – n(2n2+a) =                                    м) b(b3 – b2+b) – (b3 – b2+b) =

Решение уравнений

а) (2x – 7) + (6x+1) = 18                            б) (4 – 8,2x) – (3,8x+1) = 5

в) 24 – 2(5x+4) = 6                                       г) 12 = - 6+6(3x – 1,5)

д) 20+4(2x – 5) = 14x+12                             е) 15x -1 = 3(7x – 1) – 2

ж) -8(11 – 2x)+40 = 3(5x – 4)                       з) 2x – 12(3 – x) = 1+3(x+2)

и) -5(2 – 7x) = 0                                              к) 8(5x – 1) = 0

л) -5(2 – 7) = 5                                                  м) 8(5x – 1) = 8

                         Решение уравнений

а) 4(2 – 3x) + 7(6x + 1) – 9(9x + 4) = 30

б) 17 – 2(x + 3) + 5(x – 7) – 3(2x + 1) = -28

в) x(4x + 11) – 7(x2 – 5x) = - 3x(x + 3)

г) n(12 – n) – 5 = 4n – n(10 +(n – 3))

д) 16 + 5(-c – 2(c – 4)) = 12(3 – 2c) – 1

Вынесение общего множителя за скобки

а) 3p + 2pc =                                                б) 2ab – 5b =

в) -3mn + n =                                                г)- xy – y =

д) 7ab – 14a2 =                                               е)-50a2 + 25ax=

ж) 5xy2 + 15y =                                              з) -30by2 – 6b2 =

и) x5 – x4 =                                                      к) y5 + 3y6 + 4y7 =

л) 2m6 + 8m3 =                                                м) 3a2 – 6a3 + 18a4 =

н) 5bc2 + bc =                                                 о) 8x4y2 – 12x2y2 =

п) a2 b2 – 4ab3 + 6a3b =                                   р) 3a3c2 + 6a2c3 – 9a3c3 =

Умножение многочленов

Упростите выражение:

(2b – 3)(5b+7) +21=__________________________________________________

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5x2+(3 – 5x)(x+11)=__________________________________________________

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5a – (a+1)(4a+1) =___________________________________________________

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8y2 – (3y – 1)(5y – 2)=________________________________________________

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(c + 4)(c – 3) – (c2 + 5c) =_____________________________________________

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a(2a – 1) + (a + 3)(a -5) =______________________________________________

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(x+4)x – (x  - 3)(x+7) =_______________________________________________

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(p+3c)c – (3c+p)(c – p)=______________________________________________

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xy(x+y) – (x2+y2)(2x – y)=_____________________________________________

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(8a+3b)(3a – 8b) – (3a+8b)(8a – 3b) =___________________________________

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(p3 – 3k)(p2+3k) - (p2 – 3k)(p3+3k)=_____________________________________

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