Math 081 Final Exam Review Problems

The Final Exam covers Chapters 1 – 7, and Sections 9.2 – 9.6.  You should memorize all formulas on page 628, all perimeter formulas, formulas for the area and circumference of a circle, and the formula for the area of a rectangular solid. Calculators may be used on the final exam.
These are some problems that should help you review for the Final Exam.  This is not a template for the exam, and some of the topics on the final exam may not be represented here.  For a comprehensive review, you should do the review problems provided by the math department.  

1.	Solve the equation:  
2.	Simplify the complex fraction:  

3.	Add or subtract as indicated:  
4.	Simplify the complex fraction:  

5.	Solve the equation:  

6.	Perform the indicated operation.  Write the answer as a mixed number in simplest form:  	
7.	Add or subtract as indicated:  

8.	Perform the indicated operation.  Write the answer as a mixed number in simplest form:  	

9.	Simplify the complex fraction:  

10.	Add or subtract as indicated.  Write the answer as a mixed number in simplest form.

11.	Add or subtract as indicated.  Write the answer as a mixed number in simplest form.

12.	Write the prime factorization for 650.

13.	Simplify:  

14.	Evaluate the expression for the given replacement values: 
      a.	

      b.	

15.	Find the area and circumference of the geometric figure:  

	Use for.

16.	Solve the proportion for the given variable:  
	a.	

	b.	

17.	Write the number in words:  
	a.	104,572	

	b.	6.213

18.	Find the area of the geometric figure:  

	Use for.

19.	Convert as indicated:  7.8 mg to grams.

20.	Convert as indicated:  2.4 liters to ml.

21.	Find the unit price:  $6.36 for 12 notebooks.

22.	Translate to an equation and solve:  
30% of what number is 16.2?

23.	Translate to an equation and solve:  
What percent of 26 is 31.2? 

24.	Translate to an equation and solve:  
 What is 68% of 450?

25.	Find the perimeter of a regular hexagon, where each side is  inches.

26.	Find the value of the polynomial for the given replacement value:   for 

27.	Fred borrows $1200 for 10 months.  If the interest is $80, find the monthly payment.  

28.	Find the circumference of a circle whose radius is 7 cm.  Then use the approximation 3.14 for  and approximate the circumference.

29.	Perform the indicated operation.  Write the answer as a mixed number in simplest form:  	

30.	Write the percent as a fraction or mixed number in simplest form:  74%

31.	Write the percent as a fraction or mixed number in simplest form:  978%

32.	A $340 television set is on sale at 15% off.  Find the discount.

33.	A $1200 rug is on sale at 20% off.  Find the sale price.

34.	Find the unknown length in the given right triangle. 
If necessary, approximate the length to the nearest thousandth.

35.	 Write the decimal as a fraction or mixed number in lowest terms:  1.02

36.	 The difference of a number and 13 is equal to the quotient of 8 and 3. Find the number.

37.	 Alice borrows $7400 and agrees to pay it back in 4 years. If the simple interest rate is 15%, find the total amount she pays back.

38.	Determine which (if any) number in the set is a solution to the equation.
	4x + 9 = 3 – 2x; {–1, 0, 1}

39.	Simplify: 18 + 25  53 – 12 

40.	Simplify: 120  0

41.	Simplify: 

42.	Simplify: 12 – |– 18| 

43.	Simplify: (5 – 7)3(6 – 2)2

44.	Simplify: 

45.	Find the mean, median, and mode (if any) of the following list of numbers. Round to the 	nearest hundredth if necessary.
	1, 7, 11, 4, 3, 12, –2, –7, 2

46.	Determine whether the fractions are equivalent: 

47.	What is the value of x? 

48.	Perform the indicated operations. Write the answers in simplest form.
	a.	

	b.	

49.	Solve the equation. 

50.	Find the perimeter and area of the figures. Label your answer.
	a.	b.	

51.	Find the grade point average. If necessary, round to the nearest hundredth.
	
Grade	Credit Hour	
A	3	
F	4	
C	4	
B	4	
D	2	
  
52.	Find the square root and simplify. 

53.	Find the volume of the solid. Label your answer.

54.	Perform the indicated operations. Write units in simplest forms.
	a.	3ft 8in + 4ft 9in

	b.	3cm + .25m (in centimeters)