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# Several problems on quadratic function & system of equations

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1. 2x-9=-3
The solution is x=

2. Fran swims at a speed of 2.4km/h in still water. The lazy river flows at a speed of 0.8km/h. How long will it take Fran to swim 1.6km upstream.
It will take Fran ____ hr to swim 1.6 km upstream

3. |x-6|=27
The solution set is ?

4. g(x)=10/1-2x
What is the correct domain

5. 9x-2y = -108
6x+75=y
What is the solution of the system

6. (r^2-3+^2)(r^2+2^+2)
Multiply

7. -5y^5 + 20y^4
Factor out a factor with a negative coefficient

8. Factor the trinomial
v^2-2v + 16
type N if the trinomial is not a factorable

9.27 r^2+ 18r+ 3
What is the factor

10. 3a^2+ 22a +40=0
a=___

11. A driver drove at a speed of 64mph for r hours. How far did the driver go? the algebraic expression 64 mph at r hours is d= ____ miles.

12. -3(3c+14d)
Multiply

13. 20a+12b-12a+18b=____
Collect terms

14. Simply by removing parentheses and collecting like terms
-5(b+4)-9(b+4)

15. a^11.a-3