Algebra 1 | Unit 2 | Lesson 22: Graphing Linear Inequalities in Two Variables (Part 2) | Practice Problems

To qualify for a loan from a bank, the total in someone’s checking and savings accounts together must be $500 or more. Which of these inequalities best represents this situation? Complete the graph so that it represents solutions to an inequality representing this situation. (Be clear about whether you want to use a solid or dashed line.)

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• B

• C

• D

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Kiran says, “I bought 2.5 pounds of red and yellow lentils. Both were $1.80 per pound. I spent a total of $4.05.” Write a system of equations to describe the relationships between the quantities in Kiran's statement. Be sure to specify what each variable represents. Elena says, “That can't be right.” Explain how Elena can tell that something is wrong with Kiran's statement. Kiran says, “Oops, I meant to say I bought 2.25 pounds of lentils.” Revise your system of equations to reflect this correction. Is it possible to tell for sure how many pounds of each kind of lentil Kiran might have bought? Explain your reasoning.

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