Module 9 Q 9.1A

1. Solve by graphing. (If there is no solution, enter NO SOLUTION. If the system is dependent, enter your answer in terms of x.)

x - y = -2

x + 2y = 22

(x,y) = _____________

2. Solve by graphing. (If there is no solution, enter NO SOLUTION. If the system is dependent, enter your answer in terms of x.)

2x + 3y = 6

y - -2/3x + 1

(x,y) = _____________

3. Solve by the substitution method. (If there is no solution, enter NO SOLUTION. Use the parameters x and y as necessary.)

2x - 5y = 21

y = 9 - 4x

(x,y) = ____________

4. Solve by the substitution method. (If there is no solution, enter NO SOLUTION. Use the parameters x and y as necessary.)

y = 3x + 3

y = 2x +4

(x,y) = _____________

5. Solve by the substitution method. (If there is no solution, enter NO SOLUTION. Use the parameters x and y as necessary.)

3x + 7y =

y = 6x - 5

(x,y) = _____________

6. Solve by the addition method. (If there is no solution, enter NO SOLUTION. Use the parameters x and y as necessary.)

x - 4y = 3

x + 7y = -8

(x,y) = _____________

7. Solve by the addition method. (If there is no solution, enter NO SOLUTION. Use the parameters x and y as necessary.)

x + y = 5

2x - y = 13

(x,y) = _____________

8. Solve by the addition method. (If there is no solution, enter NO SOLUTION. Use the parameters x and y as necessary.)

3x + 4y = 28

2x + y = 12

(x,y) = _____________

9. Solve by the addition method. (If there is no solution, enter NO SOLUTION. Use the parameters x and y as necessary.)

8x -3y = 24

4x + 5y = -14

(x,y) = _____________

10. Solve by the addition method. (If there is no solution, enter NO SOLUTION. Use the parametersxandyas necessary.)

5X/6 + y/3 = 19/3

2x/3 - y/2 = 35/6

(x,y) = _____________

11. A cabin cruiser traveling with the current went 12 mi in 1 h. Traveling against the current, it took 2 h to go the same distance. Find the rate of the cabin cruiser in calm water and the rate of the current.

rate of cabin cruiser	mph
rate of current	mph

12. A turboprop plane flying with the wind flew 400 mi in 4 h. Flying against the wind, the plane required 5 h to travel the same distance. Find the rate of the plane in calm air and the rate of the wind.

rate of plane	mph
rate of wind	mph

13. A merchant mixed 8 lb of a cinnamon tea with 3 lb of spice tea. The 11-pound mixture cost $18. A second mixture included 12 lb of the cinnamon tea and 12 lb of the spice tea. The 24-pound mixture cost $42. Find the cost per pound of the cinnamon tea and of the spice tea.

cinnamon	dollars per pound
spice	dollars per pound

14. A contractor buys 18 yd of nylon carpet and 22 yd of wool carpet for $1998. A second purchase, at the same prices, includes 18 yd of nylon carpet and 25 yd of wool carpet for $2160. Find the cost per yard of the wool carpet.

$__________ per yd

15. The employees of a hardware store ordered lunch from a local delicatessen. The lunch consisted of 4 turkey sandwiches and 7 orders of french fries, for a total cost of $23.10. The next day, the employees ordered 5 turkey sandwiches and 5 orders of french fries totaling $24.00. What does the delicatessen charge for a turkey sandwich? What is the charge for an order of french fries?

turkey sandwich	$
french fries	$