UNIT 6 Test REVIEW: Systems of Linear Equations Date: Page 2 of 4 Unit 6 Test Review CT Algebra I Model Curriculum Version 3.0

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Unit 6 Test Review CT Algebra I Model Curriculum Version 3.0

UNIT 6 Test REVIEW: Systems of Linear Equations 1. You and a friend want to order pizza for dinner. You are deciding between Giant Pizza and

Pizza Pizzazz. You want to choose the pizza parlor that will give you the best deal for the number of toppings you choose. Giant Pizza charges $8.00 for a small pizza and an additional $4.00 for each topping. Pizza Pizzazz charges $12.00 for a small pizza and an additional $2.00 for each topping.

a. Define your variables.

b. Write two linear equations to model the total cost of a small pizza at each pizza parlor.

e. Under what conditions would it be best to buy a pizza from Giant Pizza and under what conditions would it be best to buy a pizza from Pizza Pizzazz?

f. If you decide to get a bacon & pineapple pizza, which pizza parlor would you choose if you wanted to save money? Justify your answer.

c. Solve the system of equations found in part (b) by graphing. Choose the appropriate scale and label both axes.

d. What is the solution to the system of linear equations and what does it mean in the context of this problem?

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Unit 6 Test Review CT Algebra I Model Curriculum Version 3.0

2. For their first game, the softball team sold tickets to raise money. They sold 90 tickets and made a profit of $334. If adult tickets cost $5 and student tickets cost $3, how many adult ticks and how many student tickets were sold? a. Define your variables and write a system of linear equations to model the situation.

b. Solve the system of equations.

c. Explain your solution in terms of the context of the problem.

3. Target and Walgreens both print photos taken with digital cameras. Target charges a setup

fee of $2.00, printing fee of $3.00 and $0.17 per print. Walgreens charges a $5.00 setup fee, $0.10 per print editing fee and $0.07 per print printing fee. Tell whether each statement is true or false and EXPLAIN how you found your answer.

a. There is no number of prints for which the cost at both stores is exactly the same.

b. The equation y = 0.17 + 5x can be used to find the cost of having the prints made at

Walgreens. c. It is always more expensive to have your prints made at Walgreens.

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Unit 6 Test Review CT Algebra I Model Curriculum Version 3.0

4. Choose a method and solve each system of equations. Show your work and check your

solutions. Graphs are provided in case you need them, but not required. a. 5! + ! = 9 b. ! = 3! − 4 10! − 7! = −18 3! − ! = −1 c. 7! − 2! = −13 21! − 6! = −39

d. Which method did you choose to solve 4a? ____________________________________

e. Why did you choose that method?

c. Which system of equations has no solution?

d. Which system of equations has an infinite number of solutions?

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Unit 6 Test Review CT Algebra I Model Curriculum Version 3.0

2. Verizon and AT&T have created new phone plans for high school students in an attempt to increase sales. The following equations represent each store’s wireless phone plan where C is the total monthly cost and t is the number of text messages.

Verizon: C = $0.10t +$15 AT&T: C = $0.05t + $30

a. Identify the fixed cost for each plan:

b. When do the two monthly plans cost the same?

c. When is the AT&T plan a better deal? Explain your answer.