# Algebra 1 Secondary Education MAFS.912.N

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Algebra 1 Secondary Education MAFS.912.N

Algebra 1 Secondary Education MAFS.912.N-RN.2.3 – Worksheet 1 Calculator NOT permitted for this Standard Name: _______________________________________________________ Date: ___/___/___ 1. Write an algebraic proof to show whether the solution to the equation below is rational or irrational. x2 7 2. Is the product of 2 and 8 rational or irrational? Explain: ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ __________________________________________________________________________. 3. The rectangle shown below has a length of 6 feet. 6 feet The value of the area of the rectangle, in square feet, is an irrational number. The number that represents the width of the rectangle must be ? Select the best answer to fill in the blank. A. A whole number. B. A rational number. C. An irrational number. D. A non-real complex number The School District of Palm Beach County Algebra 1 Secondary Education MAFS.912.N-RN.2.3 – Worksheet 1 Calculator NOT permitted for this Standard 4. Does either item below contradict the statement: “The sum of two rational numbers is a rational number”? A. B. C. D. Item I: 2 1 11 5 3 15 Item II: 1 4 1 5 5 Neither Item I nor Item II contradicts the given statement. Both Item I and Item II contradict the given statement. Item I contradicts the statement. Item II is an example when the statement is true. Item II contradicts the statement. Item I is an example when the statement is true. 5. Select all of the following that are rational. □ 25 9 □ 7 6 45 □ 2 □ □ 2 □ The School District of Palm Beach County 5 x y , where x and y are irrational numbers