Math QS

1. Identify the graph of the system. {3x+3y=-15
x-2y=-2.
2.Find the solution to the system of linear equations by graphing. Express your answer as an ordered pair.

{2x-2y=12
4x+3y=-4
Enter the system’s solution as an ordered pair, including the comma. If the system has no solution, enter “none”. If the system has infinitely many solutions, enter “infinitely many solutions”.

Solution: __________

3.Find the solution to the system of linear equations using substitution.

{3x-2y=-5
5x+5y=0
Enter the system’s solution as an ordered pair, including the comma. If the system has no solution, enter “none”. If the system has infinitely many solutions, enter “infinitely many solutions”.

Solution: __________

4.Find the solution to the system of linear equations using elimination.

{4x-6y=2
-4x+3y=-11
Solution: __________

Enter the system’s solution as an ordered pair including the parentheses and comma. If the system has no solution, enter “no solution”. If the system has infinitely many solutions, enter “infinitely many solutions”.

5.Find the solution to the system of linear equations using elimination.

{6x-4y=32
6x+5y=14
Solution: __________

Enter the system’s solution as an ordered pair including the parentheses and comma. If the system has no solution, enter “no solution”. If the system has infinitely many solutions, enter “infinitely many solutions”.

6.Find the solution to the system of linear equations using elimination.

{3x+5y=17
5x+10y=-16
Solution: __________

Enter the system’s solution as an ordered pair including the parentheses and comma. If a coordinate is not an integer, enter it as a fraction. If the system has no solution, enter “no solution”. If the system has infinitely many solutions, enter “infinitely many solutions”.

7. Choose the best description of the system.

{y=-5x+2
y=-3x+2
Select all that apply.


(a)
inconsistent

(b)
consistent

(c)
dependent

(d)
independent


8. A total investment of $9,400is made into two savings accounts. One account yields 6% simple interest and the other 7% simple interest. He earns a total of $636.00interest for the year. How much was invested in the 6% account?

$ ____________

9.It took an airplane 2hours to fly 480mi against a headwind. The return trip with the wind took 1 1/3 hours. Find the speed of the plane with no wind and the windspeed.

The speed of the plane is ____________mph.

The windspeed is ____________mph.

10. graph of x<-3.

11. graph of x<-3.

12. graph of 4x-6y=-24.

13.graph of y<2x2+3x+4.

14. graph

{y=(x-4)2+1
y=5x+1

15.
A florist designs two high-profit arrangements— a funeral wreath and a bridal centerpiece. The company’s employees can complete up to 17 arrangements each day using up to 29 total person-hours of labor. It takes 4 person-hours to complete 1 funeral wreath, and 1 person-hour to complete 1 bridal centerpiece. How many of each type of arrangements should the florist produce daily for maximum profit, if the profit on a funeral wreath is $70and the profit on a bridal centerpiece is $44?
Number of bridal centerpieces ____________

Number of funeral wreaths ____________