10. Which of the following statements does NOT have a counterexample?

    6. Every month has at least 30 days.
    7. The product of two fractions is an integer.
    8. The sum of any two whole numbers is a whole number.
    9. All United States coins are silver-colored.

GRIDDED RESPONSE

11. An athletic field is a rectangle, 120 yd by 60 yd, with a semicircle at each of the ends. A running track 15 yd wide surrounds the field. How many yards of fencing do you need to surround the outside edge of the track? Round your answer to the nearest tenth of a yard. Use 3.14 for π . pi .

    

12. What is the next number in the pattern?

    1 , − 4 , 9 , − 16 , … 1 comma negative 4 comma 9 comma negative 16 comma dot dot dot

13. The base of a rectangle is 7 cm less than three times its height. If the base is 5 cm, what is the area of the rectangle in square centimeters?

14. How many cubes would you need to build the structure shown below?

    

15. The measure of an angle is three more than twice its supplement. What is the measure of the angle?
16. A square and rectangle have equal area. The rectangle is 32 cm by 18 cm. What is the perimeter of the square in centimeters?

17. What is the value of x?

    

18. What is the y-coordinate of the midpoint of a segment with endpoints ( 0 , − 4 )  and  ( − 4 , 7 ) ? open 0 comma negative 4 close , and , open negative 4 comma 7 close question mark

Short Response

19. Write the converse, inverse, and contrapositive of the following statement. Determine the truth value of each.

    If you live in Oregon, then you live in the United States.

20. A B ¯ eh b bar  has endpoints A(3, 6) and B ( 9 , − 2 ) b open 9 comma negative 2 close  and midpoint M. Justify each response.
    1. What are the coordinates of M?
    2. What is AB?

Extended Response

21. The sequence below lists the first eight powers of 7.

    7 1 , 7 2 , 7 3 , 7 4 , 7 5 , 7 6 , 7 7 , 7 8 , … 7 to the first , comma . 7 squared , comma . 7 cubed , comma . 7 to the fourth , comma . 7 to the fifth , comma . 7 to the sixth , comma . 7 to the seventh , comma . 7 to the eighth , comma dot dot dot

    1. Make a table that lists the digit in the ones place for each of the first eight powers of 7. For example, 7 4 = 2401 . 7 to the fourth , equals , 2401 , .  The 1 is in the ones place.
    2. What number is in the ones place of 7 34 ? 7 to the thirty fourth , question mark  Explain your reasoning.

22. Write a proof.

    Given: ∠ 1 angle 1  and ∠ 2 angle 2  are supplementary.

    Prove: ∠ 1 angle 1  and ∠ 2 angle 2  are right angles.

    

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