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Harford Community College Name__________________
Educational Studies Division Date___________________
Instructor: Surasky
Math 018: PRACTICE FINAL EXAM
- Use the quadratic formula to solve:
2
2 x 10 x 1
- Use completing the square to solve:
2
x 6 x 10 0
- Find the value of c that would make
2
x 10 x c a perfect square trinomial.
- Use the discriminant to determine the number and type of solutions of the
equation:
2
3 x 3 x 6
- Find
42
i
- Subtract:
6 4 i 3 i 4
7. Multiply:
2
2 i 3
- Solve:
3
2 x 3 2 5
- Rationalize the denominator:
3 a
- Simplify:
2 2
2 x 4 18 x 7 x 18
- Simplify:
5 4
63 x y
12. Multiply:
- Use radical notation to simplify:
4
5
243
- Find the values that would make this expression undefined:
2
2
x
x x
- Divide:
2 2
2 2
k k k k
k k k k
- Multiply:
5 5 4 2
6 2 2 3
x y x y
x y x y
- Add:
2 2
m m
m m m m
- Solve the equation: 2
y 3 y 3 y 9
- Simplify the complex fraction:
x
x
- An experienced housekeeper can clean the house in 3 hours. The homeowner
takes 6 hours to complete the job herself. How long would it take them if they
were to clean the house together?
- Eight more than the square of a number is the same as six times the number. Find the
number.
- Factor:
2
5 x 8 x 3
- Factor:
3
x 8
- Divide:
2
x x
x
- Simplify:
2 2 4
3 2
x y
x y
34. Subtract:
7 6 7 6
2 n 2 n 5 n 6 n 11 n 20 n
35. Multiply:
x 7 y x 11 y
- Multiply:
2
2 m 3
- Multiply:
2
2 x 3 x 3 x 5
- Determine whether the following lines are parallel, perpendicular or neither:
x y
x y
- Graph the following linear inequality: x 2 y 6
40. Subtract:
2 x 5
from
5 x 7
41. Solve:
6 3 n 2 n 1
- Solve:
x x
- Evaluate:
2
2 xy x y 3 y if x = 2 and y = -
- Name the following property: 2(x + 8) = 2x + 16
- Given
list the numbers that belong to the set of rational numbers.
