ALGEBRA 2 HONORS
SUMMER PACKET
(MANDATORY)
DUE: 1st Day of School, completed
Counts as: 50 POINT quiz Grade
LATES will NOT be accepted.
A ZERO grade will be issued for that quiz if it is not
completed or if it is forgotten.
If you lose the packet email me at the school email address:
[email protected]
I’ll check email once a week.
DON’T forget to buy a TI Graphing Calculator
Go shopping in July and August for the cheapest prices!
(suggested stores: Walmart, Target, Costco, BJ’s , Best Buy, Staples, Office Depot or via internet)
(Some have mail-in REBATES.)
Summer Packet for Incoming Algebra 2 Honors Students
Name: ______________________________
This counts as your first QUIZ, due the FIRST DAY OF SCHOOL. Completion of the packet is 50 Points.
LATES ARE NOT ACCEPTED. The packet answers will be reviewed and discussed. Students will have
a test the following week on this material which covers this material basically an Algebra 1 review)
Answers
1. Plot the numbers on the number line,
then decide which is greatest.
5 3 4 9
, , ,
2 2 7 8
1. _____________________
Evaluate the expressions: (PEMDAS)
2.
3.
2.______________________
80  20(3)  5
 2 
12
3

4
45
3.______________________
Evaluate and simplify each expression completely:
4.
(4a)2  3 when a = 2
4. _____________________
5.
5( x  6 y) when x = 11 and y = 4
5. _____________________
6.
(7  5 y)  (3x) when x 
5
1
and y =
6
9
6.______________________
7.
2a3  (2a)2 when a = - 2.
7. _____________________
8. Find the area of the shaded region:
d = 4 in
8.______________________
4 in
12 in
5 in
13 in
Hint: “special” triangle
#9 - #12 Rewrite each equation so that it is solved for the stated variable.
Example 1: A = bh, solve for b
A
Answer: b 
h
A   r 2 , solve for r.
A
Answer: r 
Example 2:

9.
p 2 q  3q  14 , solve for q.
10.
P  2L  2W , solve for L.
10. _____________________
11.
5
C  ( F  32) , solve for F
9
11.______________________
h  b1  b2 
, solve for b2 .
2
12. _____________________
12.
A
hint (gcf)
9.______________________
Solve the following equations.
13.
3
3
2
(2 x  5)    (7  3x)
4
2
8
13._____________________
14.
3.6x + 3.30 = 6.9x
14._____________________
4(6 x  1)  8x  3(5  4 x)
15.
15._____________________
FACTOR:
If you are rusty on factoring, review on www.khanacademy.com/math or use the practice packet.
16. a) 4 x3  24 x2
________________________
b) 15x2 y5  25x 4 y 3
________________________
c) 2 x  2
________________________
17. a)
x2  14 x  49
________________________
b)
x2  12 x  36
________________________
c)
9 x2  24 x  16
________________________
d)
25x2  10 x  1
________________________
x 2  100
________________________
b)
x 2  81
________________________
c)
36 x2  121
________________________
d)
144 x2  25
________________________
18. a)
GCFs
Perfect Square Trinomial
Difference of Perfect Squares
19. a) x2  11x  18
________________________
b) x2  2 x  63
________________________
c) x2  12 x  45
________________________
d) x2  13x  42
________________________
20. a) 2 x2  7 x  6
(easier) Trinomials with Lead coefficient = 1
________________________ (harder) Trinomials without Lead coefficient =1
b) 4 x2  5x  6
________________________
c) 5x2  7 x  2
________________________
d) 2 x2  10 x  3
________________________
-------------------------------------------------------------------------------------------------------------------------
21. In which quadrant does the point (10, -6) lie ?
21. ________________________
Parallel have the same slope.
Perpendicular lines have negative reciprocal slopes.
m
22. State whether the lines are parallel, perpendicular or neither.
Line 1 contains the points (2, 4) and (0, -2).
Line 2 contains the points (-1, -3) and (1, 3).
y2  y1
x2  x1
22. ________________________
How to find intercepts for a graph:
x-intercept ( # x, 0)
y-intercept (0, # y)
Let y = 0, solve for x
Let x = 0, solve for y
23. Find the coordinates of x and y – intercepts of the following line:
23. x-int
____________
y-int
____________
24. x-int
____________
y-int
____________
3x - 7y = 42
24. Find the coordinates of x and y-intercepts of the following line:
-5x +15y = 60
25. Write the slope intercept form (y = mx + b) of a line with m = 2/3
y-int = -5.
25. ____________________
26. Write the slope intercept form of the equation of a line
that passes through the point ( 2, 7 ) and is parallel
to the line 3x  4 y  8 .
26. ____________________
27. Write the slope intercept form of the equation of a line
that passes through the point ( -5, -8) and is perpendicular
to the line 10 x  2 y  7 .
27. ____________________
28. Sketch the graph of 4 x  2 y  14
First you need to get the “line”
into y = mx + b form
Dotted or solid?
Use a test point to see where to shade.
29. Given: 3x  5 y  30 , identify the slope and y-intercept
of line. And use them to sketch a graph of the line.
29. m = _______ y-int = _________
30. Find the equation of a line with x-intercept of 3 and y-intercept of – 9.
30. ____________________
Ax + By = C is standard form of the equation of a line.
31. Rewrite the line in slope intercept form (y = mx + b):
6x + 12y = 28
31. ___________________
32. Find the equation of line sketched below. Black dots are coordinates with whole numbers.
32. ______________________________
Vertical lines go up and down x = # Horizontal lines go left and right y = #
33. Find the equation of a vertical line through the point (- 3, 5).
33. ________________________
34. Find the equation of a horizontal line through the point (11, 14).
34. ________________________
35. Find the equation of Line 1 and Line 2:
y
Line 1
35.
Line 1: ________
Line 2: ________
Line2
x
36. Yes/No:
7 

Is  3,  a solution to 5x  4 y  10 ?
2 

Justify your answer with work by plugging it into the problem.
36. ______________________
 1
37. Evaluate the function f ( x)  2 x 2  3x  7 for f   
 2
37. ______________________
38. Evaluate the function f ( x)  1x3  4 x 2  5x  3 for f  2 
38. ______________________
Graph each using a table of values.
y  2 x 2  3x  1
39.
x
y
40.
x
3
2
1
0
-1
-2
-3
y  3x  9  1
y
6
5
4
3
2
1
0
41. Solve the system of linear equations by the SUBSTITUTUION METHOD.
2 x  6 y  30
x  4y  2
41. ______________________
42. Solve the system of linear equations by the ELIMINATION METHOD.
5 x  2 y  21
4 x  3 y  35
43. Solve the system by GRAPHING:
10 x  4 y  20
8 y  8  12 x
You must sketch both lines on the same graph
And then state the solution to the system.
42. ______________________
43. Solution: _________________