Quiz 4: Solve Math Problems and Equations

Quiz 4: Instructions:
1. -3(4x – 2) – 2(5x – 4)
Opening the bracket, multiply whatever is inside the bracket with what is outside to get,
-12x+6-10x+8.
Nb. Negative sign multiplied by a negative sign becomes a positive
Taking like terms together, the answer becomes
-22x+14
1. 6p +2= p2 + 3p3
3p3+ p2 - 6p – 2=0
p2 (3p+1) -2(3p+1) =0
(3p+1)(p2 -2) =0
P= - 1
3
P=± 1.4142
2. (2 y) 4 = 3(2 y) 2 + 1
16 y4 −12 y2 −1=0
If y2= x then
16 x2−12 x −1=0
X=0.8256
X= -0.0757
Since x= y2
Then y= ±0.9086
3. z4 + 3z2 – 1 = 0
Let z2=x
x2+ 3 x −1=0
X= 0.3027
X= -3.302
So,
Z= ± 0.55018
5. √(25)(4)
=5*4=20

Nb. The square root only covers 25 not the whole quantity as indicated by the bracket.
1.
f(x) = x 2 + 2
-3 -2 -1 0 1 2 3
0
1
2
3
4
5
6
7
f(x)=x^2 +2
x
f(x)
From the graph range =∞
2. |2x + 1| − 5 < 0
2x+1 < 5
2x < 4
X< 2
The solution is (2)
3. |x + 3| ≥ |6x + 9|
-6 ≥ 5x
x≤1.2
The solution is [1.2]
4.
CO2 314 317 320 326 331 339 346 354 361 369
Temp 13.9 14.0 13.9 14.1 14.0 14.3 14.1 14.5 14.5 14.4