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Systems-Elimination

Total questions: 7

Worksheet time: 13mins

Name
Class
Date
1.

Solve by elimination:
−9x−4y=−20-9x-4y=-20  
5x + 4y = 45x\ +\ 4y\ =\ 4  



a)

(-4,4)

b)

(4,4)

c)

(4,-4)

d)

(-4,-4)

2.
Solve the system by elimination.  

−7x + 6y = 29
10x + y = 16 
a)
(1,6) 
b)
(−1,−3) 
c)
 (−3, −1) 
d)
(−1, 3) 
3.

Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7 then how many of each kind did she buy?


Which system correctly represents the problem?


a)

f + p = 7
28f + 15p = 131

b)

f + p = 131
7f + 15p = 28

c)

7f + p = 131
f + 15p = 28

d)

7f + 15p = 131
f + p = 131

4.

At Manny’s taco shop, you can get an order of chips and two tacos for $9.25. The cost for two orders of chips and five tacos is $21.75. What is the cost of an order of chips?


Which system represents the problem above?

a)

c + 2t = 21.75

2c + 5t = 9.25

b)

c + 2t = 3

2c + 5t = 7

c)

c + 2c = 9.25

2t + 5t = 21.75

d)

c + 2t = 9.25

2c + 5t = 21.75

5.

At Manny’s taco shop, you can get an order of chips and two tacos for $9.25. The cost for two orders of chips and five tacos is $21.75. What is the COST OF AN ORDER OF CHIPS?


Just WRITE THE NUMBER.

(a)  

6.

At Manny’s taco shop, you can get an order of chips and two tacos for $9.25. The cost for two orders of chips and five tacos is $21.75. What is the COST OF A TACO?


Just WRITE THE NUMBER.

(a)  

7.

All 231 students in the Math Club went on a field trip. Some students rode in vans which hold 7 students each and some students rode in buses which hold 25 students each. How many of each type of vehicle did they use if there were 15 vehicles total?


Which system correctly represents the scenario?

a)

v + b = 32

v + b = 231

b)

25v + 7b = 231

v + b = 15

c)

v + b = 231

7v + 25b = 15

d)

7v + 25b = 231

v + b =15