ALGEBRA TO GEOMETRY SUMMER REVIEW PACKET
OPTIONAL
(RECOMMENDED BUT NOT REQUIRED)
Purpose #1: To stay current with your Algebra I skills and prepare for the start of school year throughout the summer.
Purpose #2: The Geometry Course has many of the Algebra skills taught last year embedded into each chapter. It is critical
for student’s success to keep their Algebra skills sharp and to ensure students are focused on learning the new
Geometry concepts and skills and not still learning or re-learning Algebra skills from last year.
Potential Plan for Completion of Packet: The packet is OPTIONAL. If you are doing the packet the following would be a good
game plan: June – do the Odds. July do the Evens.
Due Date: Turn the packet into your Geometry Teacher on the first day of school.

Incentive: Students with completed packets will be given 100% on that assignment and will receive 3 - 100% HW
passes which can be applied to any homework assignment turned in that did not receive 100% or 1 - 10% increase
on a Quiz.
Expectation of student work:

Complete the packet prior to the first day of school. (Recommended, but not Required)

Show all your work on the packet or separate sheets of paper.

o
Be sure to turn in all your work if you do use separate paper or Notebook.
o
Be sure to clearly number all your problems.
If you are struggling on a problem, use the internet or other resources.
o
Reason: Being a geometry student is about THINKING and APPROACHING problems from different
perspectives to achieve the correct solution.
o

Suggested Internet Site for additional help would be Khan Academy
If you misplace or lose the packet, then visit the Eisenhower website to download and print a new one.
Chapter R and Fall Algebra Test:

For the first week or two of school, we will cover “Chapter R”. Concepts from last year which were reviewed over
the summer will be reviewed in more depth to allow for complete mastery of Algebra 1 and its most critical topics.

There will be a Test over this material after Chapter R is completed.

Students will be expected to score an 85% or better.

Students who do not meet these criteria will go through a re-teaching process and be re-evaluated through an
additional assessment.
o
Students will be expected to continue working through the current geometry material while going through
their re-teaching process.
o

Opportunities for extra support will be available for students as needed.
The geometry course is loaded with previously taught algebra skills. Mastery of these algebra skills are critical to
the success of students in the geometry course in order to focus on the new geometry material and not those
previously learned algebra concepts.
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830 Geometry May 2017
Name___________________________________
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Summer Algebra Review - Show your work here or on another sheet of paper
Solving Equations: Solve each equation.
( ) (
1) 
)

 

a 
a 

 

2)
x


x

Exponents: Simplify. Your answer should contain only positive exponents.
 
 
 
3) x y x y x y
  
4) (x y
)
Linear Equations: Find the slope of each line.
5)
6)
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Worksheet by Kuta Software LLC
Linear Equations: Find the slope of the line through each pair of points or from the given
equation.
7) (, ), (, )
8) xy
Linear Equations: Find the slope of a line Parallel and Perpendicular to each given line.

10) y x

9) yx
Linear Equations: Sketch the graph of each line.
11) x-intercept = , y-intercept = 
12) xy












      






      














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

Worksheet by Kuta Software LLC
Linear Equations: Write the slope-intercept form of the equation of each line.
13)
14)




     





     









Systems: Solve each system by elimination.

15)  y x

 yx
16) yx
yx
Systems: Solve each system by substitution.
17) xy
x y
18) xy
yx
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Worksheet by Kuta Software LLC
Factoring Quadratics: Solve each equation by factoring.
19) b  b
20) b  bbb 
21) x  xx
22) b  bb  
23)  p   p p p 
24) a  aa  
25) k  kk 
26)  p   p p p 
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Worksheet by Kuta Software LLC
Solving Quadratics: Solve each equation by taking square roots.
27) n  
28) x  
29) x  
30) k  
Radical Expressions: Simplify.
31)    
33)
 x  y 
xy
32)    
34)
 u  v 
u  v 
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Worksheet by Kuta Software LLC
35)
 

36)

 
37)  k k 
38)  n   n 
39)   ( x x )
40) ( r)( r)
41)  a  bc
42)  m  p  q 
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Worksheet by Kuta Software LLC
Radical Equations:
43)
Solve each equation.
x
44)  x
45)  r
46)
n n
47) One of two complementary angles has a
measure that is six more than twice the
other's. Find the measure of the larger
angle.
48) The measure of the supplement of an angle
is five times that of the angle's complement.
Find the measure of the complement.
49) The complement of an angle is 24° greater
than twice the angle. Find the measure of
the complement.
50) When one-half the supplement of an angle is
added to the complement of the angle, the
sum is 120°. Find the measure of the
complement.
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Worksheet by Kuta Software LLC
Answers to Summer Algebra Review - Show your work here or on another sheet of paper
3) y  x
2) 
 


5) 
1)



9) parallel:  perpendicular

7) 
6)
10) parallel:
4) y 


8)

perpendicular 



11)





 






12)

13) y x



14) y x





 






15) (, )
19) , 

23)  , 

27)  ,   
31)  


 

39)  x x
43) 
47) 62
35)
16) (, )
20) 

24) , 

28)  ,   
32)   
 


40) r r
44) 
48) 22.5
36)
17) (, )
21) , 

25)  , 

29)  ,   
y xy
33)

37) k k


18) (, )
22) , 

26)  , 

30)  ,   
 uv
34)
u
38) n  n
41) a 
45) 
49) 68
bc
42) m  p  q 
46) 
50) 50
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 

Worksheet by Kuta Software LLC