Math Worksheet           Unit 1:  Rational Numbers           Name ___________

Part 1: Multiple Choice.  Place the letter of the best choice in the space on the left.

___ 1.  People were asked to rate each on a scale from -10 and +10.  Negative 10

indicates unpleasant and positive 10 indicates great pleasure.  Which experience would you likely rate a score of +10?

A.     Visiting the dentist

C.     Winning a lottery worth \$1 million

D.    Doing homework

___ 2.  Which set of integers is arranged from least to greatest?

A. - 3, + 3, - 2, + 2, - 1, + 1                B. + 4, + 2, + 1, - 4, - 7

C. - 7, - 5, - 1, 0, + 3, + 4                   D. 0, + 4, - 5, + 6, - 7

___ 3.  Which set of rational numbers is arranged from greatest to least?

A, – ½, 0, , 0.6, 1.0                B. - 3.25, , 7/5, 0.5, ,

C. - 1.375, , ½, 0.9, , -0.7       D. , , , - 1.1, , - 3.6

___ 4.  What is ( - 5.6) / ( - 0.16) in simplest form?

A. + 35                        B. – 0.35                     C. – 3.5                       D. + 3.5

___ 5. What is  –  in simplest form?

A. 4/6                          B. 4/3                          C. 9/6                          D. 3/2

___6. Identify the position of the point shown on the number line below:

A. 2/3                          B. 9/4                          C. 5/2                          D. 11/4

___ 7.  An elevator started on the 5th floor.  It went up 3 floors, down 6 floors, up 9 floors, up 3 floors, down 2 floors, and down 3 floors.  On which floor did the elevator finally stop?

A. 5th floor                   B. 9th floor                   C. Basement                 D. 8th floor

___ 8. A road is 11.8 km long.  It is paved for a distance of 7.6.  Which amount remains to be paved to complete the project?

A. 19.4 km                   B. 4.2 km                     C. 1.6 km                     D. 0.64 km

___ 9. Find the quotient: 1   ÷  2

A. 16/25                      B. 1 1/6                       C. 1                             D. 4

___ 10.Each turn of the handle of a jack raises the car by 0.014 m.  How many turns will be      needed to raise the car 0.119 m?

A. 0.01666                  B. 8.5                          C. 85                           D. 0.0118

___ 11.Which statement is false?

A. – 1 > - 8                  B. 0 < 1                       C. – 5 < -3                   D. – 4 > - 3

___ 10.Terry has \$50.  Thomas repays Terry the \$12.00 he borrowed.  Then Terry buys a CD for \$21.18.  How much does Terry have left?

A. \$16.82                    B.\$28.82                     C. \$40.82                    D. \$83.18

___ 11. Which of the following fraction models represents the difference    ?

A. Figure A                  B. Figure B                  C. Figure C                  D. Figure D

___ 12. Order , , and  from least to greatest.

A.  <   <              B.  <   <                          C.   <    <            D.  <   <

___ 13. What subtraction problem is modeled by the following grid?

A. 1.57 − 0.33 = 1.24                                B. 1.9 − 0.33 = 1.57

C. 1.9 − 0.37 = 1.53                                  D. 2 − 0.1 = 1.9

___ 14. Simplify the expression 2 • (3 + 5 − 1) • 2.

A. 14                           B. 21                           C. 28                           D. 30

___ 15. Ken ate 3/8 of a pizza and Tyler ate 1/4 of it.  What total fraction of the pizza was eaten?

A. 1/3                          B. 1/8                          C. 1/2                          D. 5/8

1. Write a rational number to represent each statement.

a) 2 new students in class. _____                                  b) a profit of \$250.80. _____

c) climbing 24 stairs. _____                                          d) descending 14 stairs. _____

e) a gain of 3/8 points. _____                                       f) a fall of 3 ½ points. _____

g) an altitude of 1500 m. _____                                    h) a depth of 600 m. _____

2. Find a rational number between:

a) –0.4 and –0.5 __________

b)  and   __________

c) 0.01 and 0.001 __________

3. Comlpete with =, <, or >

a)  _____                                b)  _____

c) -0.0026 _____ -0.0027                   d)  _____

4.Hannah’s regular wage is \$6.50 per hour during the week.  If he has to work on the weekend, the complany pays him one and one-half times as much per hour.

a) Show your work to calculate Hannah’s weekend hourly rate.

b) Show your work to answer this question: What would Hannah earn if she worked 4 ½ hours on Thursday and 3 hours on Saturday?

5. Ms. Stanley noticed that there was three-fourths of a pizza left on the kitchen counter when she got back home.  She was hungry so she ate one-half of this left-over pizza.

a) Draw a fraction picture that would accurately illustrate what Ms. Stanley did.

b) What fraction of a full pizza did Ms. Stanley eat?

6. Add, Subtract, Multiply or Divide the following rational numbers.  Show all workings.  Reduce answer to simplest form.

a) ( - 0.8) x ( -1.5)                               b)   ÷                                c) (- 0.75) – ( -1.5)

d) ( ) + ()                                      e)   x                                f)   –