Name: _________________________________
Algebra 1 2016
Summer Math Packet for students entering ALGEBRA 1
Over the summer to better prepare you for the challenges of Algebra next year, we have put
together some worksheets for you to complete over the summer. The packet will be due the
first day back to school in the fall.
The worksheets will cover the following topics:
For ALL Algebra 1 students to complete
Review Sheet 1 – Adding & Subtracting Fractions
Review Sheet 2 – Multiplying & Dividing Fractions
Review Sheet 3 – Operations with Integers
Review Sheet 4 – Order of Operations
Review Sheet 5 – Evaluating Expressions
Review Sheet 6 – Plotting Points
Review Sheet 7 – Statistics
For ACCELERATED Algebra 1 students to complete
Review Sheet 8 – 1 & 2 Step Equations
Review Sheet 9 – Simplifying Expressions
Review Sheet 10 – Algebraic Translations
Completing this packet:
 Assignments will be passed in on the FIRST day of school and will count towards your
homework grade for Term 1.
 You will be TESTED on this information during the first week of school.
 All of this information will relate to Algebra 1. It is imperative that you know each
concept to be successful during the class.
 For each individual problem you should:
o Read Directions
o Show ALL work
o Leave answers as REDUCED FRACTIONS. No decimal answers should be
given!
o NO WORK=NO CREDIT!
Good Luck! We hope you have a wonderful summer! See you in the fall!!
Review Sheet 1: Adding/Subtracting Fractions
No Calculators Permitted. ALL work must be shown!!
1. Convert to a
mixed #
2. Convert to a
mixed #
improper
fraction
25
13
11
3
Answer:_________
3. Convert to an
Answer:_________
2
4. Convert to an
3
5
Answer:_________
5. Convert to an
improper
fraction
4
improper
fraction
5
11
Answer:_________
1
1
3
Answer:_________
Add the following fractions. Make sure you have a common denominator!
6.
2 5

9 9
Answer:_________
11.
2 1

5 10
Answer:_________
7.
3
1
1
4
4
Answer:_________
12.
3 1

7 10
Answer:_________
8.
1 16

15 15
Answer:_________
13.
2 1

5 7
Answer:_________
9. 5 
5
3
Answer:_________
1
2
14. 1  2
2
3
Answer:_________
10.
3 9

2 2
Answer:_________
15.
2 1

3 11
Answer:_________
Subtract the following fractions. Make sure you have a common denominator!
16.
1 2

3 3
Answer:_________
21.
3 1

4 2
Answer:_________
17.
5 2

7 7
Answer:_________
22.
5 1

9 18
Answer:_________
18.
3
1
2
7
7
Answer:_________
23.
1 2

7 3
Answer:_________
19. 5 
4
9
Answer:_________
2 1
24. 1 
3 6
Answer:_________
20.
11 3

2 2
Answer:_________
25.
3 1

10 9
Answer:_________
Review Sheet 2: Multiplying/Dividing Fractions
No Calculators Permitted. ALL work must be shown!!
Reduce the following fractions.
1.
2
6
2.
Answer:_________
5
125
Answer:_________
3.
3
81
Answer:_________
4.
2
32
5.
Answer:_________
Multiply the following fractions. Make sure to reduce all answers.
1 2
5 1
1 2
1 2
6. 
7.
8. 1  2
9.


11 9
2 12
2 3
3 5
Answer:_________
11. 
4 1

3 3
Answer:_________
Answer:_________
12.
11 1

12 2
Answer:_________
Answer:_________
13. 
5 1

6 5
Answer:_________
Answer:_________
1 2
14. 2 1
7 9
Answer:_________
6
34
Answer:_________
10. 3
1
3
2
2 7
Answer:_________
15.
5
3

3 16
Answer:_________
Divide the following fractions. Make sure to reduce all answers.
16.
1 2

9 5
Answer:_________
21.
1 1

5 5
Answer:_________
17.
3 1

7 2
Answer:_________
22.
11 2

13 5
Answer:_________
18.
1 9

7 11
Answer:_________
7
4
23.   
9
5
Answer:_________
19.
6
2

7
3
Answer:_________
24. 3 
4
5
Answer:_________
20.
4 2
 
9 3
Answer:_________
2
1
25.   
3
2
Answer:_________
Review Sheet 3: Operations with Integers
No Calculators Permitted. ALL work must be shown!!
Use mental math to simplify the following.
2. (23)  (10)
3. 5  (7)
1. 9  22
Answer:_________
Answer:_________
6. (5)  (3)
7. (2)  (15)
Answer:_________
Answer:_________
11. 2  7
Answer:_________
16. 0  5  3
Answer:_________
21. 3  6
Answer:_________
12. (3)(12)
Answer:_________
17. 4(7)(5)
Answer:_________
22.
28
4
Answer:_________
Answer:_________
8. 12  5
Answer:_________
13. (13)(15)
Answer:_________
18. 15  3
Answer:_________
23. 12  36
Answer:_________
4. 9  13
5. (2)  17
Answer:_________
Answer:_________
9. 2  (25)  7
10. (5)  (11)
Answer:_________
Answer:_________
14. (2)(5)(3)
Answer:_________
19.
144
12
Answer:_________
24.
81
9
Answer:_________
15. 4 2 11
Answer:_________
20.
84  2
Answer:_________
25. 165 15
Answer:_________
Review Sheet 4: Order of Operations
No Calculators Permitted. ALL work must be shown!!
** For fraction answers, make sure they are reduced!
Use order of operations (PEMDAS) to simplify the following!
1.
2.
2  68  4
Answer:_________
6.
102 10  8  4
Answer:________
10  5  2  6
Answer:_________
7.
2(5  8)  18  3
Answer:_________
12.
11.
 16 
   4  5
2
4  5  3 11
4  (20  3)
Answer:_________
8.
5  8  8 2
Answer:_________
13.
16.
Answer:_________
17.
3
Answer:_________
 4  5 
Answer:_________
18.
 3 6 


 17  5 
4
Answer:_________
4.
6
2
 4   15
Answer:_________
30  22  (5  5)
Answer:_________
5.
(8  5)2  2  5
Answer:_________
10.
9.
10  8  6  2  4 
Answer:_________
14.
2
  1 
2 5   3   
  6 
2
Answer:_________
15.
1  3
25  42  22
3
4
Answer:_________
 27  12 


 83 
3.
Answer:_________
2
Answer:_________
20.
19.
4  62  3  7
Answer:_________
4 11  2  3
Answer:_________
Review Sheet 5: Evaluating Expressions
No Calculators Permitted. ALL work must be shown!!
**For fractions answers, make sure they are reduced!
Evaluate the following when x  2, y  1, z  3
2.
1.
12   z  y 
Answer:_________
6.
3.
y
z  3y
2
2x  3 y  z
Answer:_________
5x  2 y
Answer:_________
7.
 3x  2 y 5z 
Answer:_________
8.
Answer:_________
17.
ab
c
Answer:_________
Answer:_________
x 7
y z
Answer:_________
Answer:_________
18.
b
2
Answer:_________
2
14.
abc
Answer:_________
ca
Answer:_________
xyz
4
abc
Answer:_________
19.
Answer:_________
10.
9.
3
bc
ab
16.
5.
xy
z
Answer:_________
1
2
1
Evaluate the following when a  , b  , c  
3
5
2
12.
13.
11.
Answer:_________
4.
a b  c 
Answer:_________
 x  y   3z
2
Answer:_________
15.
a c
Answer:_________
20.
c b
a
Answer:_________
Review Sheet 6: Plotting Points
Plot each ordered pair on the given graph.
1.
(1, 2)
2.
(3, 5)
3.
(0, 6)
6.
4.
(1, 1)
5.
7.
(7, 0)
8.
(2, 3)
9.
10.
(5, 1)
11.
(2, 0)
12.
(5,1)
(1, 3)
(5, 7)
(0, 0)
Review Sheet 7: Statistics & Graphs
Calculators may be used on this section.
*Answers may be rounded to the nearest tenth.
Find the mean, median and mode of the following sets of data.
1.
{2,3,6,6,9,11}
2.
{16,3,12,9,5,12}
3.
{31,32,33,34,35}
4.
{100,92,34,57,81}
5.
{4,6,6}
Mean: _________
Mean: _________
Mean: _________
Mean: _________
Mean: _________
Median: ________
Median: ________
Median: ________
Median: ________
Median: ________
Mode: ________
Mode: ________
Mode: ________
Mode: ________
Mode: ________
6. Over six months, a family’s electric bills averaged $55 per month. The bills for the first five months
were $57.60, $60, $53.25, $50.75, and $54.05. What was the electric bill in the sixth month?
7. Use the data set 14, 18, 12, 17, 14, 19, 18 and find the minimum, first quartile, median, third quartile,
and maximum of each data set, then draw a box-and-whisker plot.
Use the line plot to answer
the questions below.
8. How many numbers are
greater than 28?
9. Find the mean, median, mode, and range of the data from the line plot below
10. Find the mean, median, mode, and range of the
data in the stem and leaf plot
Worksheets 8, 9, & 10 are to be done by students entering ALGEBRA 1
ACCELERATED ONLY!
Review Sheet 8: 1 & 2 Step Equations (ACCELERATED ONLY!)
No Calculators Permitted. ALL work must be shown!!
** Solve the following one step equations.
x
1. x  3  5
2.
9
2
5.
1
x9
3
6. 5 x  
1
2
** Solve the following two step equations.
9. 2 x  1  5
10. 2  3x  8
13. 5x  3  12
14. 4 x  3  18
3. 3x  18
4. x  4  2
7.
x 2

3 3
8. x  5 
11.
x
3 9
2
12. 8 
15.
x
29
3
16.
5
6
x
3
2
1
3 2
x 
2
4 3
Review Sheet 9: Simplifying Expressions (ACCELERATED ONLY!)
No Calculators Permitted. ALL work must be shown!!
** Simplify the following by combining like terms.
2. y  x  2 x  3 y
1. 2 x  3x  5x  x
3. a  a  a  3a
5.
1
2
1
d  3d  d  d
3
3
2
6. b  (c)  3b  c  c
** Simplify the following by distributing.
9. 2(2 x  3)
10. 5(9a  2)
13.
1
2
x 
2
3
1
3
14. 3  x 
2

9
4. c  5c
7. m  a  t  h  4a  6h
8.
11. 6(3x  2)
12. ( x  5)
32
43
1
4
15.   x  
a
1
a a
6
4
16. 5(2 x  3)
Review Sheet 10: Algebraic Translations (ACCELERATED ONLY!)
** Translate the following into an algebraic expression
1. Two more than a 2. Two less than a
3. Half of a number
number (x)
number (x)
(x)
4. Twice a number
(x)
5. Two decreased by
a number (x)
6. The quotient of a
number (x) and 12
7. twice a number (x)
decreased by 15 is
equal to -27.
8. 9 less than 7
time some
number (x) is -6
9. The sum of a
number (x) and
eight is less than
2
10. Eleven increased by
a number (x) is -12
11. Seven plus five
times a number (x)
is greater than or
equal to -9
12. Eight times a
number (x)
increased by 6 is
62
13. One half of a
number (x) is
equal to 14
14. 6 less than 8 times a 15. A number (x)
number (x) is equal
divided by 9
to 14
16. A number (x)
decreased by 5