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Algebra Connections Unit 2 - Review Exam Chapters 3 and 4 Name: Date: Period: Individual Assessment 1. For the diagram at right, a. Write the equation. b. Simplify and solve for x. c. Check your solution. [ a: 2. , b: ] Simplify. a. c. [ a: 3. , b: , c: ] Use a table, graph, and rule to find and check the solution for the following problem. Glenn puts tomato plants in his garden every spring. His Roma tomato plants are 3 inches tall when he plants them, and they grow 2 inches per week. His cherry tomato plants start as seeds (0 inches) and grow 3 inches per week. When will both types of tomato plants be the same height? How tall will they be? [ 3 weeks; 9 inches ] Algebra Connections Assessment Bank Chapter 4 91 Algebra Connections Unit 2 - Review Exam Chapters 3 and 4 4. Name: Date: Period: Match each situation with the appropriate graph. Write a few sentences explaining how you made your decision. a. Diana has $40 today but will have to pay her brother $10 a day until she has paid back all the money she owes him. b. Clara has no money but earns $10 each day mowing lawns. c. Ricky begins the week with $20 but spends $5 each day on lunch. d. Jose is $20 in debt to the school cafeteria but will work off $5 of debt a day by washing dishes. i. When will Diana and Clara have the same amount of money? Show or explain how you decided. ii. When will Jose and Ricky have the same amount of money? Show or explain how you decided. [ a: Graph 2, b: Graph 3, c: Graph 1, d: Graph 4, i: Week 2, $20, ii: Week 4, $0 ] Algebra Connections Assessment Bank Chapter 4 92 Algebra Connections Unit 2 - Review Exam Chapters 3 and 4 5. Name: Date: Period: For this problem, choose only ONE option. OR Algebra Connections Assessment Bank Chapter 4 93 Algebra Connections Unit 2 - Review Exam Chapters 3 and 4 Name: Date: Period: 6. Farmer Janet can plant nine feet of carrots in 15 minutes while her daughter Amy can plant 17 feet of carrots in half an hour. a. Which farmer plants carrots more quickly? Why? b. What is each farmer’s rate in carrots per hour? c. How many feet of carrots does each farmer plant in 8 hours? [ a: Janet, b: Janet plants 36 feet of carrots per hour and Amy plants 34 feet of carrots per hour. ] 7. Bonus: A trend line and an equation have been added to this scatter plot. Marissa added the point (0, 2) to the graph. Give Marissa two good reasons why the point (0, 2) does not belong with the other data points. [ The point does not lie on or near the trend line, and it does not solve the equation. ] Algebra Connections Assessment Bank Chapter 4 94