Summer Work for Math 2
Name _________________________________
Class period ________________
Students taking Math 2 next school year, 2014-15, are expected to complete this assignment. Students who
did not earn a math credit in their current class will be behind for math credits for graduation if they do not
go to summer school. The summer work for all math classes can be found on the school website. You are
expected to complete the summer work for the class you will be taking during 2014-15.
This assignment is due the first day of school. You will have a test the second Friday of school on these concepts.
For tutorial help check the following websites:
http://www.purplemath.com/
http://www.khanacademy.org/
http://patrickjmt.com/
http://www.virtualnerd.com/
Show all your work for credit. You will need to work the problems on another sheet of paper and attach to
this to turn in.
A. Solving Linear Equations
1. x – (-12) = 19
5.
5y – 4 = 11
8.
5 f 1
 3
8
x
 7
8
96
7. 14 
2
x
2. -29 – x = -50
6.
3.
d
 8  5
4
4. 3x + 1 =25
10. 4.8a – 3 + 1.2a = 9
9. 5x + 4x = -72
11. -3x + 5 = 2x + 5
12. -28 + p = 7(p – 10) 13. -4x + 6 = 0.5(x + 30)
B. Solve each system using graphing, elimination and substitution. Attach work on another sheet of paper.
1. y = -3x
2. x + 2y = -9
x–y=6
x–y=6
C. Graph each system of linear inequalities.
1. y  2x + 2
y  -x – 1
x2
y+35
2.
D. Simplify:
2
1. (a3)(a)(a5)
2. (x2y4)(x5y3)
b 6c 5
5.
bc 2
9 a 2b 7 c 3
6.
2a 5b 4c5
 a3 
9.  2 
b 
1
  3xy 3 

10. 
2 1 
 2x y 
3. (4s3t)(-2s2t2)3
7.
2
2
4.
-4
8.
 x y 
1
 
2
3
7 0
4
11.
1 3 4 2
 w  (w )
2 
2x 
3
12. (2x-3yz4)-1(xyz)2
E. Graph each exponential function. Make a table with the domain of {-3, -2, -1, 0, 1, 2, 3}.
1. y = 2(3)x
2. y = 2x - 3
F. Determine the distance and midpoints between the following points.
1.
(-3, 4)(5, -3)
2. (4.6, -2)(-5, -13.9)
These grids are for solving linear systems by graphing, graphing systems of linear inequalities and graphing
exponential functions. Label your grids with the system, system of inequalities, or exponential function.
B. # 1
-10 -8
B. # 2
-6
-4
10
10
10
8
8
8
6
6
6
4
4
4
2
2
2
-2
2
4
6
8
10
-10 -8
-6
-4
-2
2
4
6
8
10
-4
-6
-4
-2
-2
-2
-4
-4
-4
-6
-6
-6
-8
-8
-8
-10
-10
-10
E. #1
-6
-10 -8
-2
C. #2
-10 -8
C. #1
10
10
8
8
8
6
6
6
4
4
4
2
2
2
2
4
6
8
10
-10 -8
-6
4
6
8
10
2
4
6
8
10
E. #2
10
-2
2
-4
-2
2
4
6
8
10
-10 -8
-6
-4
-2
-2
-2
-2
-4
-4
-4
-6
-6
-6
-8
-8
-8
-10
-10
-10
G. State the congruence postulate for each problem below.
.
H. Describing a Relation:
A relation is a set of ordered pairs. Name the four other ways to describe a relation given (0, -2), (0, 2), (3, -1),
(3, 1) (4, 0).
I. Identify the Domain and Range of a Relation:
Identify the domain and range of (0, -5), (0, 5), (3, -4), (3, 4), (4, -3), (4, 3), (5, 0).
Domain:
Range:
J. Determine if the following graph represents a function. Justify your answer.
-10 -8
-6
-4
10
10
10
8
8
8
6
6
6
4
4
4
2
2
-2
2
4
6
8
10
-4
-2
2
2
4
6
8
10
-10 -8 -6
-4
-2
2
-2
-2
-4
-4
-4
-6
-6
-6
-8
-8
-8
-10
-10
-10
8
6
4
2
-6 -4
-6
-2
10
-10 -8
-10 -8
-2
2
-2
-4
-6
-8
-10
4
6
8
10
4
6
8
10
K. Writing Equations of Lines:
1. Write an equation of the line with the y-intercept of 7 and a slope of -3.
2. Write an equation of a line containing the point (1, 2) with a slope of -1/2.
3. Write an equation of the line that passes through (-2, 2) and (3, 7).
4. Write an equation of the line that passes through (2, 4) and is parallel to y = -4x – 6.
5. Write an equation of the line that passes through (-4, 6) and is perpendicular to y = 1/3x + 5.
Review of prerequisite skills:
Add, subtract, multiply and divide polynomials (Video tutorial):
http://www.youtube.com/watch?v=_JxceQQNlJ4
Operations with Radicals (Lessons, Practice, and Teacher Resource) Tutorials:
http://www.regentsprep.org/Regents/math/ALGEBRA/AO1/indexAO1.htm
Simplify Radicals Practice
http://www.algebralab.org/practice/practice.aspx?file=Algebra1_13-2.xml
Operations with Radicals Practice:
http://www.algebralab.org/practice/practice.aspx?file=Algebra1_13-3.xml
Midpoint formula (Video Tutorials):
http://patrickjmt.com/the-midpoint-formula/
http://patrickjmt.com/the-midpoint-formula-finding-the-midpoint/
Distance Formula (Video Tutorials):
http://patrickjmt.com/the-distance-formula/
http://patrickjmt.com/the-distance-formula-and-finding-the-distance-between-two-points-example-1/
Triangle congruence notes
http://www.mathwarehouse.com/geometry/congruent_triangles/
http://www.mathopenref.com/congruenttriangles.html
`
Finding Parallel and Perpendicular Lines (Print Tutorial):
http://www.mathsisfun.com/algebra/line-parallel-perpendicular.html