Name _____________________________ Period _____ Date ________________
Algebra 2
2011/2012
Beginning of the School Year Checkup
Version B
Answer the following questions without using a calculator.
1) Simplify.
(a)
3 1
7 7
(b)
1
2
+
3
5
(b)
1
1
÷
7
6
2) Simplify.
(a)
1 5
∙
5 7
3) Simplify.
(a) 4( 6 + 8)
(c) -5( 3 – 7 )
4) Multiply ( w + 7 )( w - 5 )
5) Factor x 2 + 9x + 8
(b) 9( w + 4)
6) Solve for x
(a)
4x + 3 = 27
(b) -6x – 7 = 11
(c) 3( x – 2 ) + 10 = 25
7) Find the solution to the system of equations:
{
y = 5x + 8
y = 4x + 6
8) Write an equation of the line that passes through the points (5, 7) and (8, 16).
9)
A bag contains seven red marbles and four blue marbles. One marble is drawn and
then replaced in the bag. Then a second marble is drawn and replaced in the bag.
What is the probability that the first marble is blue and the second marble is red?
10) Simplify the following radicals
(a)
25
(b)
27
11) Find the area of a triangle with a base of 7 cm and an altitude of 6 cm.
12) Find the perimeter of a rectangle with a width of 12 ft and a height of 5 ft.
13) Find the volume of a cube with the height of 5 in.
14) Find the surface area of a cube with the height of 3 cm.
15) How far will a bicyclist ride after cycling for 2
1
hours at a rate of 12 mph?
2