1. Colegio San Patricio
4th. Period Review WITH ANSWERS
School Year 2009 – 2010
Name ___________________________________________________List No._________8th_________
Teacher_________________________________________________ Date_______________________
I. Exponents’ Rules
Evaluate the following expressions:
1. (-13b3)-4 (-2b-2) 2. (-3x2y4z5)3 (-2x2y4)
(-13-4b-12) (-2b-2) (-33x6y12z15) (-2x2y4)
(-13-4) (-2)(b-14) = (-27 x6y12z15) (-2x2y4) =
-2 54 x8y16z15
-134b14
3. (2j-3k-6)(3j3) 4. 3x-3(-4x-2y4)(2z)0
2j0k-6(3) 3x-3(-4x-2y4)(1)
6 j0k-6 3x-5(-4y4)(1)
6(1) k-6 -12 x-5y4
6 -12 y4
k6 x5
5. -16a-8 6. 15a4b-7
- 8a9 5a4b-10
2a-17 3a0b10
2 b7
a17 3(1)b3 = 3b3
7. (2m4n-3)-4 8. Solve for (-34x-3y9)0 when x=6 and y = 5
(2-4m-16n12) [-34(6-3)(59)]0 = 1
n12
24m16
II. Scientific Notation
A. Rewrite the number in scientific notation.
9. 130,430,000 1.3043 x 108 10. -0.000000005478 -5.478 x 10-9
B. Rewrite the number in decimal notation.
11. 8.23 x 108 823,000,000 12. 9.72 x 10-11 0.0000000000972
C. Simplify and write the answer in BOTH: scientific AND decimal notation.
13. 10 x 108 14. (8 x 103)(3 x 10-5)
-8
2 x 10 4 x 109
5 x 108-(-8) (8 x 3) (103 x 10-5) = 24 x 10-2 = 6 x 10-2-9
5 x 108+8 4 (109) 4 x 109
16 -11
SN= 5 x 10 SN= 6 x 10
DN= 50,000,000,000,000,000 DN= 0.00000000006

2. III. Polygons’ Interior Angles
15. What is the sum of a 13-side polygon’s interior angles?
a) 2240° b) 2340° c) 1980° d) 1880°
(13-2)180° = (11)180°= 1980°
16. If the sum of a polygon’s interior angles is 720°, what polygon it is?
a) Nonagon b) Octagon c) Heptagon d) Hexagon
(n-2)180° = 720° n-2= 720/180 n-2= 4 n= 4+2= 6
17. Does a pentagon with the following interior angles exist: 100°, 125°, 75°, 90°, and 110°?
a) Yes, it measures: _________ b) No, because it measures 500°, not 540°.
Pentagon = 5 sides, so it MUST measure 540° in its interior angles (3x180=540).
Now, let’s compare the addition of the given interior angles with 540°.
100°+125°+75°+ 90°+ 110° = 500°
So, there is NO pentagon with those angles.
18. How many triangles can you have in a 1897-side polygon?
1897 – 2 = 1895 triangles.
IV. Triangles’ Congruency
19. In order to construct a congruent triangle, you have the following information: 47°, 8cm,
and 90° which criteria are you using?
a) Side Side Side b) Angle Side Side c) Angle Side Angle d) None of these
20. Is it possible to have a triangle with the following characteristics: all sides measure the
same and have 3 different angles’ measures? JUSTIFY.
No, it is NOT possible. All equilateral triangles MUST have the SAME measure in their angles.
V. Tipos de Triángulos y sus características
21. ¿En qué tipo de triángulo el circuncentro se encuentra en el punto medio de la
hipotenusa?
a) Isósceles b) Escaleno c) Equilátero d) Rectángulo
22. El punto donde se cortan o intersecan las 3 medianas de un triángulo se llama:
a) Circuncentro b) Incentro c) Baricentro d) Ortocentro
23. ¿En qué tipo de triángulo el incentro queda por fuera del triángulo?
a) Isósceles b) Escaleno c) Rectángulo d) Ninguno
24. ¿Cuál de las siguientes opciones utiliza las mediatrices para encontrar su “centro”?
a) Circuncentro b) Incentro c) Baricentro d) Ortocentro
25. ¿Qué herramienta se utiliza para calcular el ortocentro?
a) Mediatriz b) Bisectriz c) Mediana d) Altura y tangentes