Math 7Unit 2 Practice Test Integers and Rational Numbers

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					                 Math 7/Unit 2 Practice Test: Integers and Rational Numbers

Name:

Date:

      1. Define and give an example of absolute value.




      2. Define greatest common factor (GCF). Give an example, using 12 and 16.




      3. Compare and contrast rational numbers and integers. Be sure to include examples in
         your explanation.




     4.     Draw a model to prove 2  ( 3)  1.




     5. Explain how the signs of two integers affect their quotient.




Math 7 Practice Test                    Unit 02: Integers and Rational Numbers         Page 1 of 5
Simplify problems 6 – 12.

     6. 2  7  3                                             10. 7


     7. 3  8
                                                               11. 5

     8. 2(3)( 4)
                                                               12. 9  5

     9. 27  3



     13. One day the temperature increased from 5 to 7 degrees. What was the total change in
         temperature on this day?

            A.     12
            B.      2
            C.       2
            D.      12


     14. For which equation is 4 a solution?

            A.     x  2  6
            B.     x  6  2
            C.     5 x  20
            D.      x
                       8
                   2


Solve the following equations. Show your work.

     15. x  5  3                    16. 2 x  18                               x
                                                                              17.      4
                                                                                    3




Math 7 Practice Test                 Unit 02: Integers and Rational Numbers                  Page 2 of 5
     18. Two figures are shown below. Each figure models a different equation. The equation
         x  8  10 is modeled by figure 1.

                       Figure 1:
                                                        =
                       Figure 2:
                                            =
          Which equation is modeled by Figure 2?

            A.     x26
            B.     x46
            C.     4x  6
            D.     4x  1  6

     19. Write the prime factorization for 48. Show your work.




     20. What is the greatest common factor of 32 and 24?

            A.         96
            B.         16
            C.          8
            D.          4

     21. Find the least common multiple (LCM) of 12 and 16. Explain your thinking.




Math 7 Practice Test                  Unit 02: Integers and Rational Numbers          Page 3 of 5
     22. Jen walks around the block in 10 minutes. Alex rides his bike around the block in 4
         minutes. They both start at the same time and place. What is the least number of minutes
         when they will meet again at the starting point?

          A. 4 minutes
          B. 10 minutes
          C. 20 minutes
          D. 40 minutes
                 60
     23. Convert    to a mixed number.
                 7



     24. Which pair of rational numbers is equivalent?

            A.          25       1
                             and
                       100       3
            B.          75        7
                             and
                       100       10
            C.           8       3
                             and
                        12       4
            D.          24       2
                             and
                        36       3

     25. Which pair of rational numbers is equivalent?

            A.                      7
                       .007 and
                                   100
            B.           1
                            and .15
                         5
            C.                   2
                         .4 and
                                 5
            D.            2
                            and .6
                          3


     26. Write these numbers from least to greatest:
                         1      2              4
                 .06,   ,        , .5, 
                         4      3              5



                                                             3           2
     27. Compare the fractions. Write < or >.
                                                             7           4

Math 7 Practice Test                     Unit 02: Integers and Rational Numbers          Page 4 of 5
     28. Tom spends between $1.75 - $2.25 for lunch each day of the school year. There are 180
         days in a school year. What is the best estimate for the total amount Tom will spend on
         lunch in a year?

            A. $50 - $250
            B. $250 - $450
            C. $450 - $650
            D. $650 - $850

     29. The balance of Maria’s bank account was $22 at the beginning of the month. She wrote
         two checks, one for $9.00, the second for $15.00, and she made a deposit of $10.00.
                A. Write a numeric expression that reflects these account transactions.


                       B. What is the balance in her account after these transactions?


     30. Write 0.085 in scientific notation.


Review

     31. Simplify: 5 y  2  y  8


     32. Name the property illustrated in the following algebraic expression.
                      (7  6)  4  7  (6  4)

            A.     associative
            B.     commutative
            C.     distributive
            D.     identity

                         6x
     33. Evaluate           when x  10 and y  3 . Show your work.
                         5y




     34. Convert 750 millimeters into meters.




Math 7 Practice Test                         Unit 02: Integers and Rational Numbers       Page 5 of 5