Math
120-Beginning Algebra Final
Exam Review
Simplify the following expressions. Answers should be completely simplified.
(Remove parentheses, lowest terms, positive
exponents, simplest radical form, rationalize denominators, etc.)
1. 
7. 
2. 
8. 
3. 
9. 
4. 
10. 
5. 
11. 
6. 
Solve the following
equations, inequalities or systems of equations.
12. 
20. 
13. 
21. 
14. 
22. 
15. 
23. 
16. x ( x + 5 )
= 24 24. 
17. 
25. 
18. 
26. 
19. 
27. 
28. A cash register has 15 coins: dimes and
quarters. The value of the coins is
$2.85.
Find
the number of each type of coin.
(Be
sure to write an equation (or system of equations) first. Then solve the equation (or system of
equations) to find the answer.)
29. Five hundred tickets were sold for a
fund-raising dinner. The receipts
totaled $3312.50.
Adult
tickets were $7.50 each and children’s tickets were $4.00 each. How many of each
type were sold?
(Be
sure to write an equation (or system of equations) first. Then solve the equation (or system of
equations) to find the answer.)
30. The
length of a rectangle is 10 more than the width. The area is 96 square inches. Find the dimensions of the rectangle.
(Be
sure to write an equation (or system of equations) first. Then solve the equation (or system of
equations) to find the answer.)
31. Find two consecutive positive integers
whose product is 420.
(Be
sure to write an equation (or system of equations) first. Then solve the equation (or system of
equations) to find the answer.)
32. A volleyball court is 30 feet wide and 60
feet long. Find the length of the
diagonal of the court.
(Be
sure to write an equation (or system of equations) first. Then solve the equation (or system of
equations) to find the answer.)
33. Your
supervisor takes 10 minutes to complete a task that takes you 8 minutes . Determine
the time required to complete the task if you work together.
(Be
sure to write an equation (or system of equations) first. Then solve the equation (or system of
equations) to find the answer.)
34. Two
planes leave an airport at approximately the same time and fly in opposite
directions. Their speeds are 510 mph and
600 mph, respectively. How far apart
will the planes be after 1.5 hours?
(Be
sure to write an equation (or system of equations) first. Then solve the equation (or system of
equations) to find the answer.)
35. Given the relation: 
a. Give
the domain of the relation.
b. Give
the range of the relation.
c. Is
this relation a function? Explain.
36. Given 
, find 
.
37. Given the points: 
a. Find
the slope of the line that passes through the given points.
b. Find
the equation of the line that passes through the given points.
Write your final answer in slope-intercept
form.
38. Given the points: 
a. Find
the slope of the line that passes through the given points.
b. Find
the equation of the line that passes through the given points.
Write your final answer in slope-intercept
form.
39. Given the equation: 
a. Write
the equation in slope-intercept form.
b. Find
the slope.
c. Find
the y-intercept.
Math
120-Beginning Algebra Final
Exam Review Answer Key
