Final Review Math 105

Topics: Line, Prime number, Elementary geometry Pages: 4 (447 words) Published: August 26, 2013
ASA College Department of Arts and Sciences MAT 105 College Math Final Exam Review A. Properties of Exponents: 1) −8 2 2) −3 ∙2 3) 2 3

5) 6)

4)

B. Polynomials: 7) Add 4 + 7 − 5 and 7 − 6 + 1 8) Find the sum of 5 − 4 + 10 and 9 + 6 − 3 − 12 9) Subtract 6 − 4 + 3 from 5 + 10 − 5 10) Find the difference of 6 − 4 + 5 and 8 + 6 − 3 11) Multiply 4 5 −3 +8 12) Multiply 2 − 4 5 + 3 13) Multiply 3 − 4 3 + 4 14) Multiply 5 + 7

C. Linear Equations in One Variable: 15) 6 − 7 − 3 = −1 16) 8 2 − 3 = 6 2 + 6 17) 5 + 2 4 − 4 = 3 2 − 1

18) 19)

− = =

+

D. Factoring Completely 20) 12 + 36 − 30 21) +5 + +5 22) 3 + 3 + 5 + 5 23) + 3 + 4 + 12 24) 2 − 8 25) 2 − 8

26) 4 − 9 27) 4 − 36 28) + 9 + 14 29) + 5 − 14 30) 3 + 9 − 30

1

E. Solving Quadratic Equations by Factoring 31) 5 + 5 = 0 32) + 8 = −12 33) = 2 + 35 F. Rational Expressions Factor and Simplify: 37) 38) 39) Multiply and Divide:

35) 2

34) 2

36) 5

− 14 − 3 =

+ 4 = 30 − 20 = 0

− 10 + 18

40) 41) 42) 43)

∙ ∙ ÷ ÷

G. Rational Expressions Add and Subtract: 44) 45) + 46) − + − 47) 48) − −

H. Equations Involving Rational Expressions 49) + = 50) 51) = = −

I. Simplified Form of Radicals 52) 100 53) 72 54) 45

J. Midpoint of a line segment. (Midpoint divides a line segment into two line segments of equal length.) 55) Find x. 3 A M +7 −5 2 + 4 + 35 B 2

56) Find AM.
+8 −8 A M − 4 + 40 B

57) Find AB.
4 −4 A + 17 B M

K. Angle Bisector 58) Find x.
B

59) Find BAC.
B

-3
A 5x+21

C

7 Angle Bisector A 5x+12

C

Angle Bisector

D

D

L. Complementary Angles (Two angles that add to 90 degree are called Complementary angles.) 60) Find x. A
4 + 12

61) Find ABD.
D A
−1

D

6 +8

−7

3 B C B C

M. Supplementary Angles

(Two angles that add to 180 degree are called supplementary angles.) 62) Find DBC. 63) Find x. D 8 + 12 A B 2 +8 C A B C D

7

3

+ 20

N. Vertical Angles (Two angles are vertical angles if and only if they are...
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