Linear Systems

- 1. Solve the Linear System
3x + 15 = y 2x - 6 = y
A) (21, -48) B) (-48, -21) C) (-21, -48) D) (-1, -4) - 2. Solve the Linear System
9x + 3y = 30 - 3x + y = 10
A) (0, 18) B) (-2, -8) C) (0, 10) D) (1, 11) - 3. The admission fee at a Speed Way is $7.50 for children and $15.00 for adults. On a certain day, 2,200 people enter the Speed Way and $18,000 was collected. How many children and how many adults attended?
A) 1500 children attended and 1000 adults attended the fair. B) 700 children attended and 1500 adults attended the fair. C) 1000 children attended and 700 adults attended the fair. D) 1500 children attended and 700 adults attended the fair. - 4. A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totaled $487. The second order was for 6 bushes and 2 trees, and totaled $232. The bills do not list the per-item price. What were the costs of one bush and of one tree?
(b, t); b is number of bushes & t is number of trees
A) (20, 56) B) (-2, -8) C) (23, 47) D) (6, 2) - 5. A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?
A) 5 B) 10 C) 15 D) 20 - 6. Substitute 2x for y and solve for x.
164x + 24y = 4240
A) (20, 40) B) (-40, -20) C) (-2, -8) D) (55, 45) - 7. Before 4 pm, the admission fee at Nashville Shores is $30; after 4 pm, admission cost $25.00. On a certain day, Jerry and his friends go to the park. After being there for a few hours they meet Kerry and her friends. Altogether these 7 people paid $200 to enter the park. How many entered Nashville Shores before 4 pm?
A) 4 people entered before 4 pm. B) 2 people entered before 4 pm. C) 6 people entered before 4 pm. D) 8 people entered before 4 pm. - 8. Senior citizens receive a discount of $3.00 off a regular ticket that costs $9. One evening the theater sold 636 tickets and took in $4974 in revenue. How many tickets were sold to senior citizens? How many were sold to “moviegoers” who were not senior citizens?
A) 474 tickets were sold to non-senior citizens. B) 250 tickets were sold to non-senior citizens. C) 705 tickets were sold to non-senior citizens. D) 386 tickets were sold to non-senior citizens. - 9. The sum of three numbers is 14. The largest is 4 times the smallest, while the sum of the smallest and twice the largest is 18. The smallest number is 2; find the other 2 numbers.
a. -2 is the smallest number, 2 is the middle number and 4 is the largest number. b. 2 is the smallest number, 8 is the middle number and 18 is the largest number. c. 2 is the smallest number, 4 is the middle number and 5 is the largest number. d. 2 is the smallest number, 4 is the middle number and 8 is the largest number.
A) 5 is the largest number. B) 18 is the largest number. C) 4 is the largest number. D) 8 is the largest number. - 10. Two small pitchers and one big pitcher can hold 8 cups of water. One big pitcher minus one small pitcher constitutes 2 cups of water. How many cups of water can each pitcher hold?
(s, b); s is number of small pitchers & b is number of big pitcher
A) (2, 4) B) (4, 2) C) (-8, -2) D) (-2, -8) |

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