Solve using graphing. Solve using graphing. Solve using graphing.
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3 Solve using graphing. Solve using graphing. Solve using graphing.
4 Solve using graphing. Solve using graphing. Solve using graphing.
5 Of the four linear functions represented below, which has the greatest rate of change? A. A number, y, is 1 more than three times a number, x. B. 3y - 10x = 15 C. D. Write and solve equations to find solutions to each of the following. Be sure to identify what the variables represent. Check your solution. In the locker room there were 59 soccer balls. They filled four bags and there were three left over. How many balls were in each bag? Sally and Billy had an Easter egg hunt. Sally collected three times as many eggs as Billy. They collected 20 total eggs. How many eggs did each child collect? Christy mows the lawn and washes cars for her summer job. This week she made $50 washing 5 cars and mowing 3 lawns. Last week she made $62 washing 3 cars and mowing 5 lawns. How much does Christy charge to mow a lawn? How much does she charge to wash a car?
6 Of the four linear functions represented below, which has the greatest rate of change? A. A number, y, is 1 more than three times a number, x. B. 3y - 10x = 15 C. D. Write and solve equations to find solutions to each of the following. Be sure to identify what the variables represent. Check your solution. In the locker room there were 59 soccer balls. They filled four bags and there were three left over. How many balls were in each bag? Sally and Billy had an Easter egg hunt. Sally collected three times as many eggs as Billy. They collected 20 total eggs. How many eggs did each child collect? Christy mows the lawn and washes cars for her summer job. This week she made $50 washing 5 cars and mowing 3 lawns. Last week she made $62 washing 3 cars and mowing 5 lawns. How much does Christy charge to mow a lawn? How much does she charge to wash a car?
7 Alice is in a new house with a long driveway. She knows that she will need to hire someone to plow the snow from time to time during the winter. She has bids from two services. Write an equation that shows the total cost, c, for n number of plows for each of the services. Help Alice decide which service she should choose. Explain or show how you arrived at a solution. Mark needs to decide if he should buy ski equipment. If he buys the equipment it will cost him $300 and then he will pay $30 each time he goes skiing. If he needs to rent the equipment he will have to pay $80 each time he goes skiing. For what number of times skiing will the cost for each option be the same? Show your work.
8 Alice is in a new house with a long driveway. She knows that she will need to hire someone to plow the snow from time to time during the winter. She has bids from two services. Write an equation that shows the total cost, c, for n number of plows for each of the services. Help Alice decide which service she should choose. Explain or show how you arrived at a solution. Mark needs to decide if he should buy ski equipment. If he buys the equipment it will cost him $300 and then he will pay $30 each time he goes skiing. If he needs to rent the equipment he will have to pay $80 each time he goes skiing. For what number of times skiing will the cost for each option be the same? Show your work.
9 Below are three systems of equations. You must solve one system using graphing, one using substitution and one using elimination. Be sure to explain why you chose the method for the given system of equations. A. B. C. Graphing Reason for using graphing method: Substitution Reason for using substitution method: Elimination Reason for using elimination method:
10 Below are three systems of equations. You must solve one system using graphing, one using substitution and one using elimination. Be sure to explain why you chose the method for the given system of equations. -5x + 2y = -10 A. B. C. 5x + 6y = 90 3x + 4y = -7 Graphing y = 2x - 4 y = -3x + 1 Reason for using graphing method: Substitution Reason for using substitution method: Elimination Reason for using elimination method:
11 More Elimination Method Examples 2x + y = 9
NAME DATE PER. FALL FINAL EXAM REVIEW ALGEBRA 1 Solve = 6 3v = -3(c + 5)
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