Page 17 - Algebra

Explanations:
𝑝 = 𝑥 , when m = 0, the fraction becomes non-defined. So, for all values of m, the 𝑚𝑚
1. In option
2. 5x–4=–44+3x 2x = –40
x = –20
Therefore, it’s an integer
3. Let the integers be x, x + 1 and x +2 x + x +1 + x + 2 = 45
3x + 3 = 45
3x = 42
x = 14
The numbers are 14, 15 and 16. The largest number is 16.
4. 32 – b = b + 12 – 4b 32 – 2b = 12 – 4b 20 = –2b
b = – 10
2b + 3 = 2(-10) + 3 = –17
5. Let the weight of the container D be x Weight of container C = x + 4
Weight of container B = x + 4 +41 4
Weight of container A = x + 4 +41 +31 42
36 = x + (x+4) + (x + 4 +41) + (x + 4 +41 +31) 442
36 = 2x + 4 + x + 4 +17 + x + 4 +17 +7 442
36 = 4x + 12 +17 +17 +7 442
36 = 4x + 12 +17 +7 22
36 = 4x + 12 + 12 36 = 4x + 24
4x = 12
x= 3
Weight of container C = x + 4 = 3 + 4 = 7 pounds.
6. Isolate h to the LHS
2πr2h = V – 2πr3
h = 𝑉−2πr3 2πr2
equation holds true except for 0.
Page 16 of 177
Algebra I & II