Question

1) а) 7(5а+8)-11а; б) 9х+3(15-8х); в) 6(с+1)-6с-5; Г) 19у+2(3-4у)+11у; 2) а) 13а-8(7а-1); б) -2(2p-1)+4; в) 21х-7-4(9х+3); Г) 33-8(11b-1)-2b.

Answer 1

1) а) 7(5а+8)-11а=35а+56-11а=56+24а
б) 9x+3(15-8x)=9x+45-24x=45-15x
в) 6(с+1)-6с-5=6с+6-6с-5=1
г) 19y+2(3-4y)+11y=19y+6-8y+11y=6+22y
2) a) 13a-8(7a-1)=13a-56a+8=8-43a
б) -2(2p-1)+4=-4p+2+4=6-4p
в) 21x-7-4(9x+3)=21x-7-36x-12=-19-15x
г) 33-8(11b-1)-2b=33-88b+8-2b=41-90b

Answer 2

Let's simplify each expression step by step:

1. a) 7(5a+8)-11a: Start by distributing the 7 to the terms inside the parentheses: 35a + 56 - 11a Combine like terms: 35a - 11a + 56 Simplify: 24a + 56

   Therefore, the simplified expression is 24a + 56.

   b) 9x + 3(15-8x): Start by simplifying the expression inside the parentheses: 9x + 3(15 - 8x) 9x + 45 - 24x Combine like terms: 9x - 24x + 45 Simplify: -15x + 45

   Therefore, the simplified expression is -15x + 45.

   c) 6(c+1)-6c-5: Start by distributing the 6 to the terms inside the parentheses: 6c + 6 - 6c - 5 Combine like terms: 6c - 6c + 6 - 5 Simplify: 1

   Therefore, the simplified expression is 1.

   Г) 19y + 2(3 - 4y) + 11y: Start by simplifying the expression inside the parentheses: 19y + 2(3 - 4y) + 11y 19y + 6 - 8y + 11y Combine like terms: 19y - 8y + 11y + 6 Simplify: 22y + 6

   Therefore, the simplified expression is 22y + 6.

2. a) 13a - 8(7a - 1): Start by distributing the -8 to the terms inside the parentheses: 13a - 8(7a - 1) 13a - 56a + 8 Combine like terms: 13a - 56a + 8 Simplify: -43a + 8

   Therefore, the simplified expression is -43a + 8.

   b) -2(2p - 1) + 4: Start by distributing the -2 to the terms inside the parentheses: -2(2p - 1) + 4 -4p + 2 + 4 Combine like terms: -4p + 2 + 4 Simplify: -4p + 6

   Therefore, the simplified expression is -4p + 6.

   c) 21x - 7 - 4(9x + 3): Start by distributing the 4 to the terms inside the parentheses: 21x - 7 - 4(9x + 3) 21x - 7 - 36x - 12 Combine like terms: 21x - 36x - 7 - 12 Simplify: -15x - 19

   Therefore, the simplified expression is -15x - 19.

   Г) 33 - 8(11b - 1) - 2b: Start by distributing the -8 to the terms inside the parentheses: 33 - 8(11b - 1) - 2b 33 - 88b + 8 - 2b Combine like terms: -88b