Question

1. x+5-2(4-x)-x-4 2.4(y+4)-5(2-y)-(5+4)y-3 3.3(b+4)-3(5-b)-b-3 4. (k+3)-(2-k)-(1+4)k-2 5.3(m+5)-4(5-m)-(4+3)m-1 6. 3(d+2) -4(1-d)-d-4 7. 4(f+2)-4(2-1)-(4+4)-3 8. 5(a+3)-3(1-a)-a-3 9.2(t+4) -4(2-t)-(4+2)t-1 10. 4(n+1) - (5-n)-n-3

Answer 1

Ответ:

Пошаговое объяснение:

1. x+5-2(4-x)-x-4  = x + 5 - 8 + 2x - x - 4 = 2x - 7

2.4(y+4)-5(2-y)-(5+4)y-3  = 4y + 16 - 10 + 5y - 9y - 3 = 3

3.3(b+4)-3(5-b)-b-3  = 3b + 12 - 15 + 3b - b - 3 = 5b - 6

4. (k+3)-(2-k)-(1+4)k-2  = k + 3 - 2 + k - 5k - 2 = -3k - 1

5.3(m+5)-4(5-m)-(4+3)m-1  = 3m + 15 - 20 + 4m - 7m - 1 = -6

6. 3(d+2) -4(1-d)-d-4  = 3d + 6 - 4 + 4d - d - 4 = 6d - 2

7. 4(f+2)-4(2-1)-(4+4)-3  = 4f + 8 - 4 - 8 - 3 = 4f - 7

8. 5(a+3)-3(1-a)-a-3  = 5a + 15 - 3 + 3a - a - 3 = 7a + 9

9.2(t+4) -4(2-t)-(4+2)t-1  = 2t + 8 - 8 + 4t - 6t - 1 = -1

10. 4(n+1) - (5-n)-n-3 = 4n + 4 - 5 + n - n - 3 = 4n - 4

Answer 2

Let's simplify each expression step by step:

1. x + 5 - 2(4 - x) - x - 4 Simplification: x + 5 - 8 + 2x - x - 4 Combine like terms: 2x - x + x + 5 - 8 - 4 Result: 2x - 7

2. 4(y + 4) - 5(2 - y) - (5 + 4)y - 3 Simplification: 4y + 16 - 10 + 5y - 9y - 3 Combine like terms: 4y + 5y - 9y + 16 - 10 - 3 Result: 0 (all y terms cancel out)

3. 3(b + 4) - 3(5 - b) - b - 3 Simplification: 3b + 12 - 15 + 3b - b - 3 Combine like terms: 3b + 3b - b + 12 - 15 - 3 Result: 4b - 6

4. (k + 3) - (2 - k) - (1 + 4)k - 2 Simplification: k + 3 - 2 + k - 5k - 2 Combine like terms: k + k - 5k + 3 - 2 - 2 Result: -3k - 1

5. 3(m + 5) - 4(5 - m) - (4 + 3)m - 1 Simplification: 3m + 15 - 20 + 4m - 7m - 1 Combine like terms: 3m + 4m - 7m + 15 - 20 - 1 Result: 0 (all m terms cancel out)

6. 3(d + 2) - 4(1 - d) - d - 4 Simplification: 3d + 6 - 4 + 4d - d - 4 Combine like terms: 3d + 4d - d + 6 - 4 - 4 Result: 2d - 2

7. 4(f + 2) - 4(2 - 1) - (4 + 4) - 3 Simplification: 4f + 8 - 4 - 8 - 3 Combine like terms: 4f - 4 - 8 - 3 Result: 4f - 15

8. 5(a + 3) - 3(1 - a) - a - 3 Simplification: 5a + 15 - 3 + 3a - a - 3 Combine like terms: 5a + 3a - a + 15 - 3 - 3 Result: 7a + 9

9. 2(t + 4) - 4(2 - t) - (4 + 2)t - 1 Simplification: 2t + 8 - 8 + 4t - 6t - 1 Combine like terms: 2t + 4t - 6t + 8 - 8 - 1 Result: 0 (all t terms cancel out)

10. 4(n + 1) - (5 - n) - n - 3 Simplification: 4n + 4 - 5 + n - n - 3 Combine like terms: 4n + n - n + 4 - 5 - 3 Result: 4n - 4

So, we have simplified each expression as follows:

1. 2x - 7
2. 0
3. 4b - 6
4. -3k - 1
5. 0
6. 2d - 2
7. 4f - 15
8. 7a + 9
9. 0
10. 4n - 4