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MATH 2 algebra 2_ Foundations of Algebra Test Math 2. Points Possible:50

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MATH 2 algebra 2_ Foundations of Algebra Test Math 2. Points Possible:50 2.4.4 Test (TST): Foundations of Algebra Test Math 2 Points Possible:50 Name:Jaden Randle Date: Answer the following questions using what you've learned from this unit. Write your answers in the space provided. Be sure to show all work. 1. Identify each number as rational or irrational. Give a reason for your choice. Part I: The number 0.35 is a(n) rational number because it can be written as a fraction. (2 points) Part II: The number 1.41421356... is a(n) rational number because Repeating decimals are rational numbers. (2 points) Part III: The number is a(n) irrational number because Does not end or repeat. (2 points) 2. Choose a number that will produce a rational answer when multiplied by 0.9. Choose from among these four numbers: , , 1.732050807..., 0.384257... . Complete each step to help you make your choice. Step 1: Identify the type of number that is given. The number 0.9 is a(n) (rational / irrational) number. (1 point) Step 2: Identify the type of answer that is desired. A(n) (rational / irrational) number answer is desired. (1 point) Step 3: Identify the rule that applies. Fill in the blank with rational or irrational. This rule applies: rational • rational = rational. (1 point) Step 4: Identify the type of number that must be chosen based on the rule. A(n) (rational / irrational) number must be chosen based on the rule. (1 point) Step 5: Identify the required number from among the choices and give a reason for your answer. __________ will produce a rational answer when multiplied by 0.9, because __________. (2 points) four numbers: , , 0.404040..., 0.286. Complete each step to help you make your choice. Step 1: Identify the type of number that is given. The number is a(n) √7 (rational / irrational) number. (1 point) Step 2: Identify the type of answer that is desired. A(n) √7 (rational / irrational) number answer is desired. (1 point) Step 3: Identify the rule that applies. Fill in the blank with rational or irrational. This rule applies: rational + irrational = irrational. (1 point) Step 4: Identify the type of number that must be chosen based on the rule. A(n) 3.52075131… (rational / irrational) number must be chosen based on the rule. (1 point) Step 5: Identify the required number from among the choices and give a reason for your answer.

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