INTRODUCTION TO ALGEBRA 2
SUMMER MATH
For this class, students will need the TI-84 graphing calculator.
The following problems are a representation of material covered by students in their Algebra 1 and Geometry
courses. If students are having trouble with any of the material, they should visit the websites listed below to review
the material, and try similar problems online.
http://www.khanacademy.org/math/algebra
http://www.shmoop.com/algebra/
http://www.ixl.com/math/algebra-1
Multiply.
#1 2 ( x2 - 4x + 3 )
#2 -3 ( 2x2 + 6x - 5 )
#3
2x ( 5x - 3 )
#1 _________________
#2 _________________
#3 __________________
#4 ( x + 3 ) ( x + 4 )
#5 ( 2x - 3 ) ( x + 5 )
#4 _________________
#5 _________________
factor
#6
x2 + 8x + 12
#7
x2 - 6x + 8
#6 ______________
#7 _______________
#8 x2 - 3x - 10
#9
x2 - 36
#8 ______________
#9 ______________
#10
49x2 - 81
#11
2x2 + x - 15
#10 _____________
#11 ______________
Simplify
#12
6x + 15 - 4x + 2
#13 8x3 × 2x4
#14
10 x 7
5 x4
#12 _________________
#13 _________________
#14 _________________
#15 3× 4 + 12 ¸ 6
#16
12 ¸ 4 × 3 + 1
#15 _________________
#16 ___________________
Solve for x.
#17 3x + 2 = 29
#18
4 ( x - 5 ) + 2 = 42
#17 ___________________
#18 _________________
#19 -2x + 3 ≤ 13
#20
3(x-7)=2(x-5)
#19 ____________________
#20 __________________
#21
2x + 3x = 90
#22 4x + 7 + 6x + 3 = 180
#21 _________________
#22 _________________
Simplify the following leaving the radical in the answer.
#23
28
#24 6 5 + 3 5
#25
#23__________________
12 +
75
#24 ___________________
#25 __________________
#26
8× 6
#27 4 3 × 5 2
#28
16 20
2 5
#26 ___________________
#27 ________________
#28 _______________
graph
#29
Pt.A ( -2, 8 )
#30
Pt. B ( 5, 0 )
graph these lines on the graph to the right
#31 y = ’ x - 5
and
#32 y = - y x
and
#33
y= 4