Answer: 18) 30 + 7x + 15y 19) 7x + 7y 20) 10y + 33 + 5x
21) 37 + 2x + 7y 22) 9x + 7y + 9 23) 6x + 8
24) 8x + 13
Explanation:
18) 6 + 6(x + 4) + 15y + x
6 + 6(x) + 6(4) + 15y + x Distributed 6 into (x + 4)
6 + 6x + 24 + 15y + x Simplified 6(4)
(6 + 24) + (6x + x) + 15y Grouped like terms
30 + 7x + 15y Added like terms
19) 3(x + y) + 4(y + x)
3(x) + 3(y) + 4(y) + 4(x) Distributed 3 into (x + y) & 4 into (y + x)
3x + 3y + 4y + 4x Simplified
(3x + 4x) + (3y + 4y) Grouped like terms
7x + 7y Added like terms
20) 2y + 8(y + 1) + 5(x + 5)
2y + 8(y) + 8(1) + 5(x) + 5(5) Distributed 8 into (y + 1) & 5 into (x + 5)
2y + 8y + 8 + 5x + 25 Simplified
(2y + 8y) + (8 + 25) + 5x Grouped like terms
10y + 33 + 5x Added like terms
21) 9 + 2(x + 7) + 7(y + 2)
9 + 2(x) + 2(7) + 7(y) + 7(2) Distributed 2 into (x + 7) & 7 into (y + 2)
9 + 2x + 14 + 7y + 14 Simplified
(9 + 14 + 14) + 2x + 7y Grouped like terms
37 + 2x + 7y Added like terms
22) 6(x + y) + y + 3(x + 3)
6(x) + 6(y) + y + 3(x) + 3(3) Distributed 6 into (x + y) & 3 into (x + 3)
6x + 6y + y + 3x + 9 Simplified
(6x + 3x) + (6y + y) + 9 Grouped like terms
9x + 7y + 9 Added like terms
23) x + 2x+7 + 3x+1 Perimeter is sum of all sides
(x + 2x + 3x) + (7 + 1) Grouped like terms
6x + 8 Added like terms
24) x+5 + 3x + x + x+5 + 2x+3 Perimeter is sum of all sides
(x + 3x + x + x + 2x) + (5 + 5 + 3) Grouped like terms
8x + 13 Added like terms