093 Final Review 2

Solve the following equations or inequalities:

1.2. 3.

4.The sum of three consecutive even integers is 234. Find the integers.

Simplify the following:

  1. 6.

Multiply and simplify completely, if possible:

7.8.

9.Subtract and combine like terms:

10.Add:

11.Divide:

Factor the following completely:

12.13. 14.

15.

Solve the following for x:

16.17.

18.List all numbers for which is undefined

For the following, performed the indicated operation and simplify, if possible:

19.20.21.

22.Is a solution to:

Graph the following and label at least two points on your graph:

23.24.

25.Find the slope of the line that passes through the points (9, 7) and (5,4)

26.Is (–3, –1) a solution to the system of equations:

27.Solve by inspecting the slope and y-intercept, state the type of system and number of solution:

Solve by any method, state the type of system and number of solution:

28.29. 30.

31.32.

33.Tim has $16.30 in quarters and nickels. If he has 98 coins together, how many quarters and nickels does he have?

34.Henry invested $18,000 in two banks. He received $1080 in interest. How much did he invest in each bank if the first bank pays 5% interest and the second bank pays 7% interest?

Simplify the following completely, assume all variables are positive:

35.36.37.

38.

Solve the following for x:

39.40.41.

42.

43.Solve for x by completing the square only:

44.Solve for x by using Quadratic formula:

45.Find the square roots of 9

093 Final Review 2

SOLUTIONS

1. x = 30

2.

3.

4. 76, 78, 80

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

21.

22.No

23.graph

24.graph

25.

26.No

27.one solution

28.

29.No solution

30.

31.(15, 5)

32.No solution

33.57 quarters;

41 nickels

34.$9,000 @ 5%;

$9,000 @ 7%

35.

36.

37.1

38.

39.x = 16

40.x = 2, x = 4

41.

42.x = 4

43.

44.

45.3 and -3