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.
x2 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

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