1.    Estimate the following produce by first rounding each factor to the nearest hundred and then multiplying:     267 X 478.

2.    Factor 48 into its prime factors.

3.    Find the value of the following expressions:

           a.      (25 + 7) [18 (5 + 4)]

          b.       {[(3 + 4) • 2] • 6} (3 + 9)

4.    Determine whether the following is commutative, associative, or distributive.

           a.      3 + (4 + 1) = (4 + 1) + 3

          b.      16(3 + 2) = 16(3) + 16(2)

5.    Simplify the expression below by combining appropriate (like) terms.

                   4x + 7 + 9x + 12 + 15x + 10

6.    Find the greatest common factor (GCF) of  26  &  54.

7.    Simplify to lowest terms:

8.    Do the division.

9.    Find the least common denominator (LCD) of the following fractions.

10.    Find:    

11.    Find the value of x:   

12.    Write each of the following as a decimal number.

              a.    eight hundred forty-three and seven hundredths

              b.    twenty and thirty-two thousandths

13.    Round each of the following decimal numbers.

              a.    22.14277 to the nearest hundredths

              b.    .27966 to the nearest tenth

14.    Write each of the following decimal numbers as a fraction.

                (Reduce each fraction to lowest terms.)

               a.    0.75

               b.    .375

15.    Joanne paid $32.88 for her Algebra book. She gave the cashier a one-hundred  dollar bill. How much change did she receive?

16.    Do this addition and subtraction by combining like terms.

                          4.3x + 2.4y + 18.7 + 3.6x + 1.8y - 2.6

17.    Do this multiplication.

                             0.08 • 13.21

18.    Nancy drove 540 miles in 5 hours. Find the rate that she drove in miles per hour.

19.    Solve this proportion for x:   

20.    Write a ratio to compare 45 cents to 3 dollars.

                (Remember to reduce the fraction if possible)

21.    Find:      37.5%  of  248.

22.    Identify the expression(s) that are equal to 25%.

                   .25         2.5                          

23.    Find:    a.    32 is what percent of 56

                      b.    23 is 79.2% of what number

                                  (Round your answer to the nearest whole number.)

24.    Chico has a Balance of $32.74 in his checkbook. What will the balance be if he writes a check for $77.00?

25.    Do this addition:     

26.    Find:       146 - (-532) - 355 + 200

27.    Solve this equation for x: 35x = -7

                  (Remember to reduce if possible)

28.    Find the value of each exponential expression.

                 a.    (-2)²

                 b.    (-2)³

29.    Use the order of operations to find the value of this expression.

                         (-3) • (-14) + 2 • [(-5) + 3]

30.    Give the true statements.

                    5 > 4

                  -2 < 0

                   7 > 7

                  -5 ≥ -5

                  -7 ≤ -9

31.    Given the sets A and B below, determine whether the following statements are True or False.

            A   =   {1, 3, 5, 7, 9}                 B   =   {3, 7, 9}

                           a.    B A

                           b.    A B

                           c.    5 A

                           d.    5 B

32. Find: |3²| - |4²|

33.    Find the GCF and LCM of 12, 16, and 36.

                                        GCF_________________________________

                                        LCM________________________________

34.    Find:   

35.    Find:   

36.    Find:        54 [3 - (2 • 3)]

37.    Find:       (29 - 5) 2² + 3 • 4

38.    Simplify:      15(2 - b) + 32 - 9b(3 - b)

39.    Evaluate:    3x³ - 6xy - 5xz - 4z - 1  when  x = 2,  y = 4,  and  z = 7.

40.    Solve for x:      -25  -  9x  =  11

41.    Solve for c:      -7(2c + 5)  =  3(c - 6)

42.    Solve for z:       

43.    The formula for the volume of a pyramid with a rectangular base is , where V is the volume of the pyramid, l is the length of its base, w is the width its base and h is the height of the pyramid. Solve this formula for w.

44.    The sum of three consecutive integers is 81.  Find the integers.

45.    Solve for z:    8z  +  15  >  39

                                                          Solution Set__________________________

                                                          Graph_______________________________

46.    Solve for z:    5  -  4z  ≥  37

                                                          Solution Set__________________________

                                                          Graph_______________________________

47.    Solve for x:       14  <  8  -  3x  ≤  20

                                                          Solution Set___________________________

                                                          Graph_______________________________

48.    Plot the following points on the graph given below.

                                  P(-5, -4)

                                  Q(-2, 3)

49.    In what quadrant do the following points lie?

                                                  a.    (-2. -1)

50.    Find the rise and the run from P(-2, -3) to Q(-5, -6)

                                                                      rise____________________

                                                                      run____________________