Oakland Community College:  Math Practice Test

1.  Basic Operations with Integers:

    

2.  Basic Operations with Fractions:

  What number added to  plus will

     equal the number 1?

3.  Basic Operations with Decimals:

     

4.  Basic Operations with Exponents:

      

5. Order of Operations:

    

6.   Ratio and Proportion:

    

7.      Jan is making clay coasters for an art fair.  Each coaster costs $2.25 to make.  If she sells the coasters for $4.00 each, how many will she have to sell to make a profit of exactly $70.00?

 

8.      Four pieces of ribbon are cut from a length of ribbon that is 80 ft long.  One of the pieces is 15 feet long. Two of the pieces are 7 ½ feet long.  One of the pieces is 3 ¾ feet long.  How many feet of ribbon are left from the original length?

 

9.  Percentages:

     What number is 65% of 420?

10.  Scientific Notation:

 Write answer in scientific notation              

      

11.  Amy charged $500 worth of merchandise on her credit card.  When she got her bill, which did not include any interest, she paid $100.  During the next month she charged another $70 worth of goods.  When she got her next bill she was charged 2% interest on her entire unpaid balance.  How much interest was she charged?

12.  A taxi cab charges $0.80 for the first of a mile and $0.10 for each additional of a mile. What is the cost of a 3 mile trip?

 

13.  Averages:

      John works a variety of different jobs.  On Monday he earned $50. Tuesday he earned $40.  On Wednesday and Thursday he earned $30 each day, and on Friday he earned $100.  What was John’s average daily pay for the 5 days?

14.  Rates:

     2½ inches per minute, 240 inches per hour, foot per minute; which is fastest? 

15.  Evaluate an Expression:

       Evaluate     

 16.  Operations with Polynomials:

 

17.  Multiply Polynomials:

    

18.  Divide Polynomials: 

      

 

19.  Factor:         

20.  Simplify a Rational Expression:

 

21.  Simplify a Radical Expression:

22.  Evaluate an Expression:

      

23.  Simplify a Radical Expression:

24.  Rationalize the Denominator:

 

                      

25.  Solve a Linear Equation:

26.  Solve a Quadratic Equation:

         Find the sum of the solutions of

      

27.  Solve an Equation w/Rational Expressions:

28.  Solve a Linear Inequality:                                    

                  

29.   Solve a System of 2 Linear Equations:

30.  Use Laws of Exponents:

                

31.  Use Laws of Exponents:

32.  Radicals and Rational Exponents:   

  

33.  In selling stock an investor made a profit of $160 plus 20% of the amount originally paid for the stock.  If the cost of the stock was originally $800 what percent of the cost was the total profit? 

34.  Altogether Mark, John, and Alan earned $ 104.  John earned twice as much as Mark and Alan earned $4 more that John.  How much did Alan earn?

35.  A train travels 4 hrs at 60 miles per hour and 2 hours at 75 miles per hour.  What is the  train’s average rate for 6 hours?

36.  Graph a Linear Equation:

       Graph

37.  Slope:

       Are these 2 lines parallel?

        L1      2x + 3y = 6

        L2      line through  (3, 10) (5, 7)

38.  Write the Equation of the Line:

A line goes thru  and has    

 slope , what is the equation

 in general form? 

39.  Distance Formula:

What is the distance between

 (Round answer to nearest hundredth)

 

40.  Graph:

41.  Graph:

42.  Functions:

43.  Domain of a Function:

  

44.  Domain of a Function:

What is the domain?

45.   Range of a Function:  

  What is the range?

              

46.  Composite Functions:

     

 * other notation (

47.  Inverse Functions:

 

48.  Complex Numbers:

Leave your answer in a+bi form

49.  Solve an Exponential Equation:   

 

50.  Logarithms:

Express as a single log  

51.  Logarithms:

log 2 16 =

 

52.  Sequences:

Find the 10th term of the geometric sequence  2, -6, 18, -54...

 

53.  Factorial:

54.  Solve a Quadratic Equation:

solve using quadratic formula

55. Solve an Exponential Equation:

56.  A saline solution is 20% salt.  How many gallons of water must be added to dilute the mixture to 8 gals of a 15% saline solution?

 

57.  Trigonometry:

58. Trigonometry:

59.  Trigonometry:

 

         

60.  Trigonometry: