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Lesson 5 MI/Vocab

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1-4 Honors Algebra Warm-up

Suppose there is a piggybank that contains 57 coins, which are only quarters and dimes. The total value of these coins is $9.45. Define variables, write a system of linear equations to describe this relationship, and then solve it.

HW: pgs. 276-277 #11-23odd, 24-28

24. 16 b + 3g = 30

22b + 5g = 43

- A batting ticket costs $1.50 and a game of mini golf costs $2.00.
- 468 mph
- (4,1)
- 95

Determine the Best Method

FUND-RAISINGAt a Boy Scout fund-raising dinner, Mr. Jones bought 2 adult meals and 3 child meals for $23. Mrs. Gomez bought 4 adult meals and 2 child meals for $34. Define variables, write a system of equations to represent the situation, determine the best method to solve, and then solve the system.

Answer: The solution is (7, 3). So, adult meals cost $7 and child meals cost $3.

Determine the Best Method

CAR RENTALAce Car Rental rents a car for $45 a day and $0.25 per mile. Star Car Rental rents a car for $35 per day and $0.30 per mile. How many miles would a driver need to drive before the cost of renting a car at Ace Car Rental and renting a car at Star Car Rental were the same?

Answer: After 200 miles, the cost will be the same.

POOL PARTY At the school pool party, Mr. Lewis bought 1 adult ticket and 2 child tickets for $10. Mrs. Vroom bought 2 adult tickets and 3 child tickets for $17. All adult tickets are the same price and all child tickets are the same price. The following system can be used to represent this situation. Determine the best method to solve the system of equations. Then solve the system.x + 2y = 102x + 3y = 17

- A
- B
- C
- D

A.(4, 3)B. (4, 4)

C.(3, 3)D. (–4, –3)

VIDEO GAMES The cost to rent a video game from Action Video is $2 plus $0.50 per day. The cost to rent a video game at TeeVee Rentals is $1 plus $0.75 per day. After how many days will the cost of renting a video game at Action Video be the same as the cost of renting a video game at TeeVee Rentals?

- A
- B
- C
- D

A.8 days

B.4 days

C.2 days

D.1 day