1. Colegio San Patricio
2nd Period Math Review
School Year 2009 – 2010
Name ___________________________________________________List No._________8th_________
Teacher_________________________________________________ Date_______________________
Working with real numbers
1) Which of the following operations has a result of -35 ? __________
a) (-6) x (-5) + (-5) b) (6) x (5) + (5) c) (-6) x (5) + (5) d) (-6) x (5) + (-5)
2) Simplify the following expression: (12 + 2(-5-5)) / (-4) __________
a) -12 b) 12 c) -8 d) 8
3) 4/7 of a cake is eaten on a party. The next day your dad ate ½ of what was left. You get to finish
the cake, how much is left?
4) On February 2, the temperature at 11AM was 5°C, at 10PM it dropped to 2°C. To find the numbers
of degrees the temperature dropped, which equation could you use? Let x be the number of
degrees the temperature changed.
Counting Techniques
5) The school’s cafeteria has new options. Now they have: 3 types of salads, 3 types of
hamburgers, 5 types of fruit beverages, and 5 dessert options. How many different
combinations you to choose from?
6) How many ways are there for choosing any 4 books from the library’s desk from the 12
books they are on the top of the desk?
7) In how many ways can a jury choose the best 3 essays from the top 20 essays they
received? (The first chosen person will have the 3rd. place; the second one will have the 2nd.
place, and the last person will be the 1st. place.)

2. Grouping and Analyzing Data
8) The following data shows the grades of different students.
74 95 96 85 77 65
83 88 93 12 81 92
100 20 40 35 98 87
a) Create a class interval table (interval, tally, frequency). The first interval is 0-20
b) Graph the information using a frequency polygon graph.
Multiplying Polynomials
9) (x – 5) (3x + 7) 10) (3a - 2)(a2 -5 a + 5)
11) (3x - 4)2 12) (5x + 6y) (5x – 6y)
13) Find an expression for the area of a trapezoid with short base length x + 3, long base 2x +
9, and height is 10.
14) What is the area of the rectangle? _________
a) 7x² + 5xz + 2xy +yz
5x
b) 10x2 + 5xz + 2xy + yz
c) 7x² + 10xz + xy + 2yz
d) 10x² + 5xz + 2xy + 2yz² y
2x z

3. Solid Geometry
15) Draw and answer the following
b) Pentagonal Prism Faces: _______________
Edges: _______________
Vertices: _____________
d) Nonagon Pyramid Faces: _______________
Edges: _______________
Vertices: _____________
16) Draw the different views for the following structure:
Front Left Side Right Side Top
17. Volume
Figure Formula Procedure
a) a = 2cm
Each side = 3cm
H = 8cm
b) a = 4m
Each side = 6m
H = 12 m
c) a = 3cm
Each side = 5cm
H = 10cm

4. 18) What is the volume of a cube if the length is 8cm, width is 5cm, and it’s height is 9cm?
19) Find the volume of the following figure.
20) A cereal company decided to increase the height of its boxes by 30% and reduce the
width in order to maintain the same volume. What will be the new height and width if the
length stays the same?
Initially: Length = 20 cm
Width = 30cm
Height = 40cm