City of Brockton BROCKTON PUBLIC SCHOOLS Matthew H Malone PhD + Superintendent of Schools
Robert Perkins Mathematics Department Head
Brockton High School Phone (508) 580middot7410
robertoperkinsbpsmaorg
June 62012
Dear StudentlParent
The attached Math Packet is intended for students taking a Pre-Calculus or Trigonometry Class in the fall The packet contains problems emphasizing necessary skills for the student beginning this course While completion of these problems is optional it is important to note that if you complete this packet successfully you will be eligible for up to 5 points extra credit on your Term I average
You may seek help on the problems It is hoped that you will do whatever is necessary to complete all of the problems successfully You must submit the answer sheet (which details the problems that must be done) and your work on separate sheets ofpaper The answer sheet and work should be stapled together and submitted to your teacher on or before Monday September 10 2012 Ifyou are in a second semester math class please return the completed packet to the Green Math Office by September 102012 Late packets will not be accepted
Once again it is worth your effort to complete all of the problems in the packet successfully You may seek help from family and friends from Internet sites books or any other available source You must however show the work for each problem on paper separate from the answer sheet It is important that you follow the directions in order to obtain the maximum 5 points
Good luck in completing this work Remember while it is optional it is an opportunity for all students to take a step in improving their term I grade and to review some important math skills at the same time If you have any problems with the math packets you may e-mail me at robertoperkinsbpsmaorg I check my e-mail frequently during the summer and I will get back to you as soon as possible
Thanks
Bob Perkins
Brockton High School 470 Forest Avenue +BImiddotockton Massachusetts 02301
wwwbrocktonpublicschoofscom
Brockton Education Industry Progress
Refer to the indicated lesson in the Algebra 1 textbook for help with the following problems
Skills Practice Multiplying Rational
Expressions
Find each product
s4(n + 2) n(n - 2) n + 2
8 ( - 2)( + 2) bull 2(ax + 3) x(ax + 3) x - 2
Skills Practice Rational Expressions with
Unlike Denominators Find the LCM for each pair of
expressions
3 2r - 1 r + 4
5 x2 - 2x - 3 (x - 3)2
Find each sum
7bull y 1 +y2
9 ~+~bull 2m m
b 2 11 b-f + b=4
ax + 15 + x 13 2 _ 25 X+5
Find each difference
5 2 15~ - r2
x 4 17X+2 - x1
a 2 19 2a - 1 - a + 3
6 b 21 b2 - 1 - b+1
Skills Practice Dividing Rational Expressions
Find each quotient
x-56 X+3 + (x - 5)
Skills Practice Mixed Expressions
and Complex Fractions Write each mixed expression as a
rational expression
416 + Ii
34b+E c
Simplify each expression
4 a 2 122
11middot s 5 44 5
Refer to the indicated lesson in the Geometry textbook for help with the following problems
Skills ~actice Distance and Midpoints
Use the Pythagorean Theorem to find the distance between each pair of points
5
7 K(2 3) F(4 4)
F
y
G V
(CI x
Use the Distance Formula to find the distance between each pair of points
9 Y(2 0) P(2 6) 1lA(-7 -3B(5 2)
Find the coordinates of the midpoint of a segment having the given endpoints
17 1(3 I) U(5 3) 18 J( -4 2) F(5 -2)
Find the coordinates of the missing endpoint given that P is the midpoint ofNQ
19 N(2 0) P(5 2) 21 Q(3 9 P(-1 5)
Find x andy
Sldlls Practice Special Right Triangles
1 ~24 2 x1 3 x~12 x~ ~32 ~
y y y
~ 4~R 5
16 Y
60 x
bull ID
Refer to the indicated lesson in the Geometry textbook for help with the following problems
Sldlls Practice Special Right Triangles
For Exercises 7-9 use the figure at the right B 60
7 Ifa = 11 find b and c
A 30 c ~~ b
8 If b == 15 find a and c
9 Ifc = 9 find a and b
For Exercises 10 and 11 use the figure at the right Al1B 10 The perimeter of the square is 30 inches Find the length of BC
D~C 11 Find the length of the diagonal BD
12 The perimeter of the equilateral triangle is 60 meters Find the length of an altitude
Skills Practice Trigonometry
Use MST to find sin RJ cos R tan R sin SJ cos Sf and tan S Express each ratio as a fraction and as a decimal to the nearest hundredth
1 r = 16 s = 30 t = 34 2 r = 10 s = 24 t = 26
Use the figure to find each trigonometric ratio Express answers as a fraction and as a decimal rounded to the nearest ten-thousandth
9 tan C 10 sin A 11 cos C
Find x Round to the nearest tenth
18 271~ 19~ AL-----dB A 27 B
Refer to the indicated lesson in the Geometry textbook for help with the following problems
Sldlls Practice Skills Practice The Law of Sines The Law of Cosines2 Find x to the nearest tenth
For Questions 1 and 2 find x to the nearest tenth 1 ~ ~ 2~
32 18
8 Solve MBT Round your answers toS Solve MBC Round your answers to Rthe nearest degree
the nearest tenth
TU76 S
A~ C4r
Refer to the indicated lesson in the Algebra 2 textbook for help with the following problems ac Ice Pr t
e
RelatIons and Functions Determine whether each relation is a function Write yes or no
2 0 R 4 y
Graph each relation or equation and find the domain and range Then determine whether the relation or equation is a function
5 (-4 -1) (4 0) (03) (2 on 6y = 2x - 1
c
y
x
J J
J I
Find each value if f(x) - Z 2 and g~) - -k + 3
7 f(3) 8 (-4)
10 (-2) 11g(-6) 12(m - 2)
Refer to the indicated lesson in the Algebra 2 textbook for help with the following problems
Skills Practice Writing Linear Equations
State the slope and y-intercept of the graph of each equation
32y = -sx + 3 43x+4y=4 8 2) = 6 - 5x63x-2y+6=0
Write an equation in slope-intercept form for each graph
9 1141 II n1 2)
II ICl
II 1(-1 -4)
1 j
I I
x
11
++++(4 -1)
~y I
03) 1
(J x i
(3 -3)~ Ll L~
Write an equation in slope-intercept form for the line that satisfies each set of conditions
12 slope 3 passes through (1 -3)
16 passes through (-1 -2) and (-a 1)
14 slope -2 passes through (0 -5)
Skills Practice Radical Expressions
Simplify
1 Y24 7 4-id2f5 13 (4vi2)(aV20) 19 (1 - V5)(1 + V5)
3ru 9 -f 10 vi2 - 2v3 + Vi08
O 4V50x5 liZ11 j5z 17 2WB - I7s - vi2
-- - ---shy
Refer to the indicated lesson in the Algebra 2 textbook for help with the following problems
Skills Practice Solving Quadratic Equations by Factoring
Solve each equation by factoring
14 x2 + 18x = -812x2 - 100 0
16 2x2 + 5x - 3 == 04x2-4x+3=0
18 3x2 - l3x - 10 == 06x2 - ax - 10 =0
Study Guide and Intervention Completing the Square
Complete the Square To complete the square for a quadratic expression of the form x2 + bx follow these steps
1 Find -+ 2 Square -+ S Add ( Yto x2 + bx
poundxample 1 Find the value of c that makes x2 + 22x + c a perfect square trinomial Then write the trinomial as the square of a binomial
Step 1 b == 22 = 11
Step 2 112 = 121 Step 3 c = 121
The trinomial is x2 + 22x + 121 which can be written as (x + 11)2
example 2 Solve 2x2 - ax - 24 = 0 by completing the square
2x2 - ax - 24 0 Original equation
2x2 - ax - 24 02 = 2 DIvide each side by 2
x2 - 4x - 12 0 il- 4x - 12 is not a perfect square
x2 - 4x = 12 Add 12 to each side
2x - 4x + 4 = 12 + 4 Since (-tt =4add4Ioeachslde
(x - 2)2 16 Factor the square X - 2 = plusmn4 Square Root Property
x = 6 or x = - 2 Solve each equation
The solution set is 6 -2
Find the value of c that makes each trinomial a perfect square Then write the trinomial as a perfect square
25 2 11 x2 - lOx + c 3 x - ax + c bull x + 2x + c
Solve each equation by completingthe square
102x2 - ax + 1 = 0 12 25x2 + 40x - 9 = 0
--_bull _ _ -
This page is for students entering Precalculus Honors Refer to the indicated lesson in the Algebra 2 textbook for help
Practice Skills Practice Monomials Rational Exponents
Simplify Assume that no variable equals G Write each expression in radical form 1
136
Write each radical using rational exponents 12m8y 6
9 -9my 5 V5i -278(-7)
11 160 7 Vi53 18 -(4w-3z-5)(8w)2
Evaluate each expression15 (fd2f4)4(-fd5f)8 (3x-2y3X5xy-8)
17 (x-3)4y-2 Simplify each expression 12 s
17c6 c6
s IS 162
1 5 15 21i 278
JY 2
28-1 ji
Study Guide and Intervention Radical Equations and Inequalities
SOlve each equation
13 + 2xv3 5 2 2vSx + 4 + 1 = 15 S8+Vx+l=2
9 vx2 + 7x = v7x - 9 IG4V2x + 11- 2 = 10
Name ____________-Precalculus Summer Work Answer Sheet
Write the answer to each specified problem on the indicated line on this answer sheet The work supporting these answers must be done neatly on separate paper and included along with this answer sheet and the downloaded worksheets as part of the complete packet Submit the packet to your Precalculus teacher by September 72010 If your Precalculus class is scheduled for second semester you must submit the packet to Mr Perkins or Mr Corbett in the Green Math office by September 72010 Packets will not be accepted after this date
Please note that the last page is part ofthe packet for Honors level only
Algebra 1
Lesson 12-3
2 ____
4 ____
6 ____
8 ____
Lesson 12-4
2 ____
4 ____
6 ____
8 ____
Lesson 12-7
1 ____
3 ____
5 ____
7 ____
9 ____
11 ____
13 ____
15 ____
17 ____
19 ____
21 ____
Lesson 12-8
1 ____
3 ____
11 ____
12 ____
Geometry
Lesson 1-3
5
7
9
11
17
18
19
21
Lesson 7-3
1 ____
2 ____
3 ____
4 ____
5
6
7
8
9
10
lL
12
Lesson 7-4
1
2 ___
9
10
11 ___
18 ___
19 ____
20 ____
Lesson 7-6
2
3
Lesson 7-7
1
2
3
Algebra 1
Lesson 2-1
2 ____
4 ____
5 J
10 x
6
7
8
9
10
11
12
Lesson 2-4 17
2 19
4 21
5 23
6 Lesson 6-3
8 2
9 4
10 6
11 14
12 16
14 18
16
Lesson 5-6 Lesson 6-4
1 1
3 3
5 5
7 8
9 10
11 12
13
15
The following problems are for Honors level only
Lesson 5-1
3
5
7
9
11
13
15
17
Lesson 5p7
1
3
5
7
9
11
13
15
17
19
21
23
Lesson 5-8
1
2
3
9
10
Refer to the indicated lesson in the Algebra 1 textbook for help with the following problems
Skills Practice Multiplying Rational
Expressions
Find each product
s4(n + 2) n(n - 2) n + 2
8 ( - 2)( + 2) bull 2(ax + 3) x(ax + 3) x - 2
Skills Practice Rational Expressions with
Unlike Denominators Find the LCM for each pair of
expressions
3 2r - 1 r + 4
5 x2 - 2x - 3 (x - 3)2
Find each sum
7bull y 1 +y2
9 ~+~bull 2m m
b 2 11 b-f + b=4
ax + 15 + x 13 2 _ 25 X+5
Find each difference
5 2 15~ - r2
x 4 17X+2 - x1
a 2 19 2a - 1 - a + 3
6 b 21 b2 - 1 - b+1
Skills Practice Dividing Rational Expressions
Find each quotient
x-56 X+3 + (x - 5)
Skills Practice Mixed Expressions
and Complex Fractions Write each mixed expression as a
rational expression
416 + Ii
34b+E c
Simplify each expression
4 a 2 122
11middot s 5 44 5
Refer to the indicated lesson in the Geometry textbook for help with the following problems
Skills ~actice Distance and Midpoints
Use the Pythagorean Theorem to find the distance between each pair of points
5
7 K(2 3) F(4 4)
F
y
G V
(CI x
Use the Distance Formula to find the distance between each pair of points
9 Y(2 0) P(2 6) 1lA(-7 -3B(5 2)
Find the coordinates of the midpoint of a segment having the given endpoints
17 1(3 I) U(5 3) 18 J( -4 2) F(5 -2)
Find the coordinates of the missing endpoint given that P is the midpoint ofNQ
19 N(2 0) P(5 2) 21 Q(3 9 P(-1 5)
Find x andy
Sldlls Practice Special Right Triangles
1 ~24 2 x1 3 x~12 x~ ~32 ~
y y y
~ 4~R 5
16 Y
60 x
bull ID
Refer to the indicated lesson in the Geometry textbook for help with the following problems
Sldlls Practice Special Right Triangles
For Exercises 7-9 use the figure at the right B 60
7 Ifa = 11 find b and c
A 30 c ~~ b
8 If b == 15 find a and c
9 Ifc = 9 find a and b
For Exercises 10 and 11 use the figure at the right Al1B 10 The perimeter of the square is 30 inches Find the length of BC
D~C 11 Find the length of the diagonal BD
12 The perimeter of the equilateral triangle is 60 meters Find the length of an altitude
Skills Practice Trigonometry
Use MST to find sin RJ cos R tan R sin SJ cos Sf and tan S Express each ratio as a fraction and as a decimal to the nearest hundredth
1 r = 16 s = 30 t = 34 2 r = 10 s = 24 t = 26
Use the figure to find each trigonometric ratio Express answers as a fraction and as a decimal rounded to the nearest ten-thousandth
9 tan C 10 sin A 11 cos C
Find x Round to the nearest tenth
18 271~ 19~ AL-----dB A 27 B
Refer to the indicated lesson in the Geometry textbook for help with the following problems
Sldlls Practice Skills Practice The Law of Sines The Law of Cosines2 Find x to the nearest tenth
For Questions 1 and 2 find x to the nearest tenth 1 ~ ~ 2~
32 18
8 Solve MBT Round your answers toS Solve MBC Round your answers to Rthe nearest degree
the nearest tenth
TU76 S
A~ C4r
Refer to the indicated lesson in the Algebra 2 textbook for help with the following problems ac Ice Pr t
e
RelatIons and Functions Determine whether each relation is a function Write yes or no
2 0 R 4 y
Graph each relation or equation and find the domain and range Then determine whether the relation or equation is a function
5 (-4 -1) (4 0) (03) (2 on 6y = 2x - 1
c
y
x
J J
J I
Find each value if f(x) - Z 2 and g~) - -k + 3
7 f(3) 8 (-4)
10 (-2) 11g(-6) 12(m - 2)
Refer to the indicated lesson in the Algebra 2 textbook for help with the following problems
Skills Practice Writing Linear Equations
State the slope and y-intercept of the graph of each equation
32y = -sx + 3 43x+4y=4 8 2) = 6 - 5x63x-2y+6=0
Write an equation in slope-intercept form for each graph
9 1141 II n1 2)
II ICl
II 1(-1 -4)
1 j
I I
x
11
++++(4 -1)
~y I
03) 1
(J x i
(3 -3)~ Ll L~
Write an equation in slope-intercept form for the line that satisfies each set of conditions
12 slope 3 passes through (1 -3)
16 passes through (-1 -2) and (-a 1)
14 slope -2 passes through (0 -5)
Skills Practice Radical Expressions
Simplify
1 Y24 7 4-id2f5 13 (4vi2)(aV20) 19 (1 - V5)(1 + V5)
3ru 9 -f 10 vi2 - 2v3 + Vi08
O 4V50x5 liZ11 j5z 17 2WB - I7s - vi2
-- - ---shy
Refer to the indicated lesson in the Algebra 2 textbook for help with the following problems
Skills Practice Solving Quadratic Equations by Factoring
Solve each equation by factoring
14 x2 + 18x = -812x2 - 100 0
16 2x2 + 5x - 3 == 04x2-4x+3=0
18 3x2 - l3x - 10 == 06x2 - ax - 10 =0
Study Guide and Intervention Completing the Square
Complete the Square To complete the square for a quadratic expression of the form x2 + bx follow these steps
1 Find -+ 2 Square -+ S Add ( Yto x2 + bx
poundxample 1 Find the value of c that makes x2 + 22x + c a perfect square trinomial Then write the trinomial as the square of a binomial
Step 1 b == 22 = 11
Step 2 112 = 121 Step 3 c = 121
The trinomial is x2 + 22x + 121 which can be written as (x + 11)2
example 2 Solve 2x2 - ax - 24 = 0 by completing the square
2x2 - ax - 24 0 Original equation
2x2 - ax - 24 02 = 2 DIvide each side by 2
x2 - 4x - 12 0 il- 4x - 12 is not a perfect square
x2 - 4x = 12 Add 12 to each side
2x - 4x + 4 = 12 + 4 Since (-tt =4add4Ioeachslde
(x - 2)2 16 Factor the square X - 2 = plusmn4 Square Root Property
x = 6 or x = - 2 Solve each equation
The solution set is 6 -2
Find the value of c that makes each trinomial a perfect square Then write the trinomial as a perfect square
25 2 11 x2 - lOx + c 3 x - ax + c bull x + 2x + c
Solve each equation by completingthe square
102x2 - ax + 1 = 0 12 25x2 + 40x - 9 = 0
--_bull _ _ -
This page is for students entering Precalculus Honors Refer to the indicated lesson in the Algebra 2 textbook for help
Practice Skills Practice Monomials Rational Exponents
Simplify Assume that no variable equals G Write each expression in radical form 1
136
Write each radical using rational exponents 12m8y 6
9 -9my 5 V5i -278(-7)
11 160 7 Vi53 18 -(4w-3z-5)(8w)2
Evaluate each expression15 (fd2f4)4(-fd5f)8 (3x-2y3X5xy-8)
17 (x-3)4y-2 Simplify each expression 12 s
17c6 c6
s IS 162
1 5 15 21i 278
JY 2
28-1 ji
Study Guide and Intervention Radical Equations and Inequalities
SOlve each equation
13 + 2xv3 5 2 2vSx + 4 + 1 = 15 S8+Vx+l=2
9 vx2 + 7x = v7x - 9 IG4V2x + 11- 2 = 10
Name ____________-Precalculus Summer Work Answer Sheet
Write the answer to each specified problem on the indicated line on this answer sheet The work supporting these answers must be done neatly on separate paper and included along with this answer sheet and the downloaded worksheets as part of the complete packet Submit the packet to your Precalculus teacher by September 72010 If your Precalculus class is scheduled for second semester you must submit the packet to Mr Perkins or Mr Corbett in the Green Math office by September 72010 Packets will not be accepted after this date
Please note that the last page is part ofthe packet for Honors level only
Algebra 1
Lesson 12-3
2 ____
4 ____
6 ____
8 ____
Lesson 12-4
2 ____
4 ____
6 ____
8 ____
Lesson 12-7
1 ____
3 ____
5 ____
7 ____
9 ____
11 ____
13 ____
15 ____
17 ____
19 ____
21 ____
Lesson 12-8
1 ____
3 ____
11 ____
12 ____
Geometry
Lesson 1-3
5
7
9
11
17
18
19
21
Lesson 7-3
1 ____
2 ____
3 ____
4 ____
5
6
7
8
9
10
lL
12
Lesson 7-4
1
2 ___
9
10
11 ___
18 ___
19 ____
20 ____
Lesson 7-6
2
3
Lesson 7-7
1
2
3
Algebra 1
Lesson 2-1
2 ____
4 ____
5 J
10 x
6
7
8
9
10
11
12
Lesson 2-4 17
2 19
4 21
5 23
6 Lesson 6-3
8 2
9 4
10 6
11 14
12 16
14 18
16
Lesson 5-6 Lesson 6-4
1 1
3 3
5 5
7 8
9 10
11 12
13
15
The following problems are for Honors level only
Lesson 5-1
3
5
7
9
11
13
15
17
Lesson 5p7
1
3
5
7
9
11
13
15
17
19
21
23
Lesson 5-8
1
2
3
9
10
Refer to the indicated lesson in the Geometry textbook for help with the following problems
Skills ~actice Distance and Midpoints
Use the Pythagorean Theorem to find the distance between each pair of points
5
7 K(2 3) F(4 4)
F
y
G V
(CI x
Use the Distance Formula to find the distance between each pair of points
9 Y(2 0) P(2 6) 1lA(-7 -3B(5 2)
Find the coordinates of the midpoint of a segment having the given endpoints
17 1(3 I) U(5 3) 18 J( -4 2) F(5 -2)
Find the coordinates of the missing endpoint given that P is the midpoint ofNQ
19 N(2 0) P(5 2) 21 Q(3 9 P(-1 5)
Find x andy
Sldlls Practice Special Right Triangles
1 ~24 2 x1 3 x~12 x~ ~32 ~
y y y
~ 4~R 5
16 Y
60 x
bull ID
Refer to the indicated lesson in the Geometry textbook for help with the following problems
Sldlls Practice Special Right Triangles
For Exercises 7-9 use the figure at the right B 60
7 Ifa = 11 find b and c
A 30 c ~~ b
8 If b == 15 find a and c
9 Ifc = 9 find a and b
For Exercises 10 and 11 use the figure at the right Al1B 10 The perimeter of the square is 30 inches Find the length of BC
D~C 11 Find the length of the diagonal BD
12 The perimeter of the equilateral triangle is 60 meters Find the length of an altitude
Skills Practice Trigonometry
Use MST to find sin RJ cos R tan R sin SJ cos Sf and tan S Express each ratio as a fraction and as a decimal to the nearest hundredth
1 r = 16 s = 30 t = 34 2 r = 10 s = 24 t = 26
Use the figure to find each trigonometric ratio Express answers as a fraction and as a decimal rounded to the nearest ten-thousandth
9 tan C 10 sin A 11 cos C
Find x Round to the nearest tenth
18 271~ 19~ AL-----dB A 27 B
Refer to the indicated lesson in the Geometry textbook for help with the following problems
Sldlls Practice Skills Practice The Law of Sines The Law of Cosines2 Find x to the nearest tenth
For Questions 1 and 2 find x to the nearest tenth 1 ~ ~ 2~
32 18
8 Solve MBT Round your answers toS Solve MBC Round your answers to Rthe nearest degree
the nearest tenth
TU76 S
A~ C4r
Refer to the indicated lesson in the Algebra 2 textbook for help with the following problems ac Ice Pr t
e
RelatIons and Functions Determine whether each relation is a function Write yes or no
2 0 R 4 y
Graph each relation or equation and find the domain and range Then determine whether the relation or equation is a function
5 (-4 -1) (4 0) (03) (2 on 6y = 2x - 1
c
y
x
J J
J I
Find each value if f(x) - Z 2 and g~) - -k + 3
7 f(3) 8 (-4)
10 (-2) 11g(-6) 12(m - 2)
Refer to the indicated lesson in the Algebra 2 textbook for help with the following problems
Skills Practice Writing Linear Equations
State the slope and y-intercept of the graph of each equation
32y = -sx + 3 43x+4y=4 8 2) = 6 - 5x63x-2y+6=0
Write an equation in slope-intercept form for each graph
9 1141 II n1 2)
II ICl
II 1(-1 -4)
1 j
I I
x
11
++++(4 -1)
~y I
03) 1
(J x i
(3 -3)~ Ll L~
Write an equation in slope-intercept form for the line that satisfies each set of conditions
12 slope 3 passes through (1 -3)
16 passes through (-1 -2) and (-a 1)
14 slope -2 passes through (0 -5)
Skills Practice Radical Expressions
Simplify
1 Y24 7 4-id2f5 13 (4vi2)(aV20) 19 (1 - V5)(1 + V5)
3ru 9 -f 10 vi2 - 2v3 + Vi08
O 4V50x5 liZ11 j5z 17 2WB - I7s - vi2
-- - ---shy
Refer to the indicated lesson in the Algebra 2 textbook for help with the following problems
Skills Practice Solving Quadratic Equations by Factoring
Solve each equation by factoring
14 x2 + 18x = -812x2 - 100 0
16 2x2 + 5x - 3 == 04x2-4x+3=0
18 3x2 - l3x - 10 == 06x2 - ax - 10 =0
Study Guide and Intervention Completing the Square
Complete the Square To complete the square for a quadratic expression of the form x2 + bx follow these steps
1 Find -+ 2 Square -+ S Add ( Yto x2 + bx
poundxample 1 Find the value of c that makes x2 + 22x + c a perfect square trinomial Then write the trinomial as the square of a binomial
Step 1 b == 22 = 11
Step 2 112 = 121 Step 3 c = 121
The trinomial is x2 + 22x + 121 which can be written as (x + 11)2
example 2 Solve 2x2 - ax - 24 = 0 by completing the square
2x2 - ax - 24 0 Original equation
2x2 - ax - 24 02 = 2 DIvide each side by 2
x2 - 4x - 12 0 il- 4x - 12 is not a perfect square
x2 - 4x = 12 Add 12 to each side
2x - 4x + 4 = 12 + 4 Since (-tt =4add4Ioeachslde
(x - 2)2 16 Factor the square X - 2 = plusmn4 Square Root Property
x = 6 or x = - 2 Solve each equation
The solution set is 6 -2
Find the value of c that makes each trinomial a perfect square Then write the trinomial as a perfect square
25 2 11 x2 - lOx + c 3 x - ax + c bull x + 2x + c
Solve each equation by completingthe square
102x2 - ax + 1 = 0 12 25x2 + 40x - 9 = 0
--_bull _ _ -
This page is for students entering Precalculus Honors Refer to the indicated lesson in the Algebra 2 textbook for help
Practice Skills Practice Monomials Rational Exponents
Simplify Assume that no variable equals G Write each expression in radical form 1
136
Write each radical using rational exponents 12m8y 6
9 -9my 5 V5i -278(-7)
11 160 7 Vi53 18 -(4w-3z-5)(8w)2
Evaluate each expression15 (fd2f4)4(-fd5f)8 (3x-2y3X5xy-8)
17 (x-3)4y-2 Simplify each expression 12 s
17c6 c6
s IS 162
1 5 15 21i 278
JY 2
28-1 ji
Study Guide and Intervention Radical Equations and Inequalities
SOlve each equation
13 + 2xv3 5 2 2vSx + 4 + 1 = 15 S8+Vx+l=2
9 vx2 + 7x = v7x - 9 IG4V2x + 11- 2 = 10
Name ____________-Precalculus Summer Work Answer Sheet
Write the answer to each specified problem on the indicated line on this answer sheet The work supporting these answers must be done neatly on separate paper and included along with this answer sheet and the downloaded worksheets as part of the complete packet Submit the packet to your Precalculus teacher by September 72010 If your Precalculus class is scheduled for second semester you must submit the packet to Mr Perkins or Mr Corbett in the Green Math office by September 72010 Packets will not be accepted after this date
Please note that the last page is part ofthe packet for Honors level only
Algebra 1
Lesson 12-3
2 ____
4 ____
6 ____
8 ____
Lesson 12-4
2 ____
4 ____
6 ____
8 ____
Lesson 12-7
1 ____
3 ____
5 ____
7 ____
9 ____
11 ____
13 ____
15 ____
17 ____
19 ____
21 ____
Lesson 12-8
1 ____
3 ____
11 ____
12 ____
Geometry
Lesson 1-3
5
7
9
11
17
18
19
21
Lesson 7-3
1 ____
2 ____
3 ____
4 ____
5
6
7
8
9
10
lL
12
Lesson 7-4
1
2 ___
9
10
11 ___
18 ___
19 ____
20 ____
Lesson 7-6
2
3
Lesson 7-7
1
2
3
Algebra 1
Lesson 2-1
2 ____
4 ____
5 J
10 x
6
7
8
9
10
11
12
Lesson 2-4 17
2 19
4 21
5 23
6 Lesson 6-3
8 2
9 4
10 6
11 14
12 16
14 18
16
Lesson 5-6 Lesson 6-4
1 1
3 3
5 5
7 8
9 10
11 12
13
15
The following problems are for Honors level only
Lesson 5-1
3
5
7
9
11
13
15
17
Lesson 5p7
1
3
5
7
9
11
13
15
17
19
21
23
Lesson 5-8
1
2
3
9
10
Refer to the indicated lesson in the Geometry textbook for help with the following problems
Sldlls Practice Special Right Triangles
For Exercises 7-9 use the figure at the right B 60
7 Ifa = 11 find b and c
A 30 c ~~ b
8 If b == 15 find a and c
9 Ifc = 9 find a and b
For Exercises 10 and 11 use the figure at the right Al1B 10 The perimeter of the square is 30 inches Find the length of BC
D~C 11 Find the length of the diagonal BD
12 The perimeter of the equilateral triangle is 60 meters Find the length of an altitude
Skills Practice Trigonometry
Use MST to find sin RJ cos R tan R sin SJ cos Sf and tan S Express each ratio as a fraction and as a decimal to the nearest hundredth
1 r = 16 s = 30 t = 34 2 r = 10 s = 24 t = 26
Use the figure to find each trigonometric ratio Express answers as a fraction and as a decimal rounded to the nearest ten-thousandth
9 tan C 10 sin A 11 cos C
Find x Round to the nearest tenth
18 271~ 19~ AL-----dB A 27 B
Refer to the indicated lesson in the Geometry textbook for help with the following problems
Sldlls Practice Skills Practice The Law of Sines The Law of Cosines2 Find x to the nearest tenth
For Questions 1 and 2 find x to the nearest tenth 1 ~ ~ 2~
32 18
8 Solve MBT Round your answers toS Solve MBC Round your answers to Rthe nearest degree
the nearest tenth
TU76 S
A~ C4r
Refer to the indicated lesson in the Algebra 2 textbook for help with the following problems ac Ice Pr t
e
RelatIons and Functions Determine whether each relation is a function Write yes or no
2 0 R 4 y
Graph each relation or equation and find the domain and range Then determine whether the relation or equation is a function
5 (-4 -1) (4 0) (03) (2 on 6y = 2x - 1
c
y
x
J J
J I
Find each value if f(x) - Z 2 and g~) - -k + 3
7 f(3) 8 (-4)
10 (-2) 11g(-6) 12(m - 2)
Refer to the indicated lesson in the Algebra 2 textbook for help with the following problems
Skills Practice Writing Linear Equations
State the slope and y-intercept of the graph of each equation
32y = -sx + 3 43x+4y=4 8 2) = 6 - 5x63x-2y+6=0
Write an equation in slope-intercept form for each graph
9 1141 II n1 2)
II ICl
II 1(-1 -4)
1 j
I I
x
11
++++(4 -1)
~y I
03) 1
(J x i
(3 -3)~ Ll L~
Write an equation in slope-intercept form for the line that satisfies each set of conditions
12 slope 3 passes through (1 -3)
16 passes through (-1 -2) and (-a 1)
14 slope -2 passes through (0 -5)
Skills Practice Radical Expressions
Simplify
1 Y24 7 4-id2f5 13 (4vi2)(aV20) 19 (1 - V5)(1 + V5)
3ru 9 -f 10 vi2 - 2v3 + Vi08
O 4V50x5 liZ11 j5z 17 2WB - I7s - vi2
-- - ---shy
Refer to the indicated lesson in the Algebra 2 textbook for help with the following problems
Skills Practice Solving Quadratic Equations by Factoring
Solve each equation by factoring
14 x2 + 18x = -812x2 - 100 0
16 2x2 + 5x - 3 == 04x2-4x+3=0
18 3x2 - l3x - 10 == 06x2 - ax - 10 =0
Study Guide and Intervention Completing the Square
Complete the Square To complete the square for a quadratic expression of the form x2 + bx follow these steps
1 Find -+ 2 Square -+ S Add ( Yto x2 + bx
poundxample 1 Find the value of c that makes x2 + 22x + c a perfect square trinomial Then write the trinomial as the square of a binomial
Step 1 b == 22 = 11
Step 2 112 = 121 Step 3 c = 121
The trinomial is x2 + 22x + 121 which can be written as (x + 11)2
example 2 Solve 2x2 - ax - 24 = 0 by completing the square
2x2 - ax - 24 0 Original equation
2x2 - ax - 24 02 = 2 DIvide each side by 2
x2 - 4x - 12 0 il- 4x - 12 is not a perfect square
x2 - 4x = 12 Add 12 to each side
2x - 4x + 4 = 12 + 4 Since (-tt =4add4Ioeachslde
(x - 2)2 16 Factor the square X - 2 = plusmn4 Square Root Property
x = 6 or x = - 2 Solve each equation
The solution set is 6 -2
Find the value of c that makes each trinomial a perfect square Then write the trinomial as a perfect square
25 2 11 x2 - lOx + c 3 x - ax + c bull x + 2x + c
Solve each equation by completingthe square
102x2 - ax + 1 = 0 12 25x2 + 40x - 9 = 0
--_bull _ _ -
This page is for students entering Precalculus Honors Refer to the indicated lesson in the Algebra 2 textbook for help
Practice Skills Practice Monomials Rational Exponents
Simplify Assume that no variable equals G Write each expression in radical form 1
136
Write each radical using rational exponents 12m8y 6
9 -9my 5 V5i -278(-7)
11 160 7 Vi53 18 -(4w-3z-5)(8w)2
Evaluate each expression15 (fd2f4)4(-fd5f)8 (3x-2y3X5xy-8)
17 (x-3)4y-2 Simplify each expression 12 s
17c6 c6
s IS 162
1 5 15 21i 278
JY 2
28-1 ji
Study Guide and Intervention Radical Equations and Inequalities
SOlve each equation
13 + 2xv3 5 2 2vSx + 4 + 1 = 15 S8+Vx+l=2
9 vx2 + 7x = v7x - 9 IG4V2x + 11- 2 = 10
Name ____________-Precalculus Summer Work Answer Sheet
Write the answer to each specified problem on the indicated line on this answer sheet The work supporting these answers must be done neatly on separate paper and included along with this answer sheet and the downloaded worksheets as part of the complete packet Submit the packet to your Precalculus teacher by September 72010 If your Precalculus class is scheduled for second semester you must submit the packet to Mr Perkins or Mr Corbett in the Green Math office by September 72010 Packets will not be accepted after this date
Please note that the last page is part ofthe packet for Honors level only
Algebra 1
Lesson 12-3
2 ____
4 ____
6 ____
8 ____
Lesson 12-4
2 ____
4 ____
6 ____
8 ____
Lesson 12-7
1 ____
3 ____
5 ____
7 ____
9 ____
11 ____
13 ____
15 ____
17 ____
19 ____
21 ____
Lesson 12-8
1 ____
3 ____
11 ____
12 ____
Geometry
Lesson 1-3
5
7
9
11
17
18
19
21
Lesson 7-3
1 ____
2 ____
3 ____
4 ____
5
6
7
8
9
10
lL
12
Lesson 7-4
1
2 ___
9
10
11 ___
18 ___
19 ____
20 ____
Lesson 7-6
2
3
Lesson 7-7
1
2
3
Algebra 1
Lesson 2-1
2 ____
4 ____
5 J
10 x
6
7
8
9
10
11
12
Lesson 2-4 17
2 19
4 21
5 23
6 Lesson 6-3
8 2
9 4
10 6
11 14
12 16
14 18
16
Lesson 5-6 Lesson 6-4
1 1
3 3
5 5
7 8
9 10
11 12
13
15
The following problems are for Honors level only
Lesson 5-1
3
5
7
9
11
13
15
17
Lesson 5p7
1
3
5
7
9
11
13
15
17
19
21
23
Lesson 5-8
1
2
3
9
10
Refer to the indicated lesson in the Geometry textbook for help with the following problems
Sldlls Practice Skills Practice The Law of Sines The Law of Cosines2 Find x to the nearest tenth
For Questions 1 and 2 find x to the nearest tenth 1 ~ ~ 2~
32 18
8 Solve MBT Round your answers toS Solve MBC Round your answers to Rthe nearest degree
the nearest tenth
TU76 S
A~ C4r
Refer to the indicated lesson in the Algebra 2 textbook for help with the following problems ac Ice Pr t
e
RelatIons and Functions Determine whether each relation is a function Write yes or no
2 0 R 4 y
Graph each relation or equation and find the domain and range Then determine whether the relation or equation is a function
5 (-4 -1) (4 0) (03) (2 on 6y = 2x - 1
c
y
x
J J
J I
Find each value if f(x) - Z 2 and g~) - -k + 3
7 f(3) 8 (-4)
10 (-2) 11g(-6) 12(m - 2)
Refer to the indicated lesson in the Algebra 2 textbook for help with the following problems
Skills Practice Writing Linear Equations
State the slope and y-intercept of the graph of each equation
32y = -sx + 3 43x+4y=4 8 2) = 6 - 5x63x-2y+6=0
Write an equation in slope-intercept form for each graph
9 1141 II n1 2)
II ICl
II 1(-1 -4)
1 j
I I
x
11
++++(4 -1)
~y I
03) 1
(J x i
(3 -3)~ Ll L~
Write an equation in slope-intercept form for the line that satisfies each set of conditions
12 slope 3 passes through (1 -3)
16 passes through (-1 -2) and (-a 1)
14 slope -2 passes through (0 -5)
Skills Practice Radical Expressions
Simplify
1 Y24 7 4-id2f5 13 (4vi2)(aV20) 19 (1 - V5)(1 + V5)
3ru 9 -f 10 vi2 - 2v3 + Vi08
O 4V50x5 liZ11 j5z 17 2WB - I7s - vi2
-- - ---shy
Refer to the indicated lesson in the Algebra 2 textbook for help with the following problems
Skills Practice Solving Quadratic Equations by Factoring
Solve each equation by factoring
14 x2 + 18x = -812x2 - 100 0
16 2x2 + 5x - 3 == 04x2-4x+3=0
18 3x2 - l3x - 10 == 06x2 - ax - 10 =0
Study Guide and Intervention Completing the Square
Complete the Square To complete the square for a quadratic expression of the form x2 + bx follow these steps
1 Find -+ 2 Square -+ S Add ( Yto x2 + bx
poundxample 1 Find the value of c that makes x2 + 22x + c a perfect square trinomial Then write the trinomial as the square of a binomial
Step 1 b == 22 = 11
Step 2 112 = 121 Step 3 c = 121
The trinomial is x2 + 22x + 121 which can be written as (x + 11)2
example 2 Solve 2x2 - ax - 24 = 0 by completing the square
2x2 - ax - 24 0 Original equation
2x2 - ax - 24 02 = 2 DIvide each side by 2
x2 - 4x - 12 0 il- 4x - 12 is not a perfect square
x2 - 4x = 12 Add 12 to each side
2x - 4x + 4 = 12 + 4 Since (-tt =4add4Ioeachslde
(x - 2)2 16 Factor the square X - 2 = plusmn4 Square Root Property
x = 6 or x = - 2 Solve each equation
The solution set is 6 -2
Find the value of c that makes each trinomial a perfect square Then write the trinomial as a perfect square
25 2 11 x2 - lOx + c 3 x - ax + c bull x + 2x + c
Solve each equation by completingthe square
102x2 - ax + 1 = 0 12 25x2 + 40x - 9 = 0
--_bull _ _ -
This page is for students entering Precalculus Honors Refer to the indicated lesson in the Algebra 2 textbook for help
Practice Skills Practice Monomials Rational Exponents
Simplify Assume that no variable equals G Write each expression in radical form 1
136
Write each radical using rational exponents 12m8y 6
9 -9my 5 V5i -278(-7)
11 160 7 Vi53 18 -(4w-3z-5)(8w)2
Evaluate each expression15 (fd2f4)4(-fd5f)8 (3x-2y3X5xy-8)
17 (x-3)4y-2 Simplify each expression 12 s
17c6 c6
s IS 162
1 5 15 21i 278
JY 2
28-1 ji
Study Guide and Intervention Radical Equations and Inequalities
SOlve each equation
13 + 2xv3 5 2 2vSx + 4 + 1 = 15 S8+Vx+l=2
9 vx2 + 7x = v7x - 9 IG4V2x + 11- 2 = 10
Name ____________-Precalculus Summer Work Answer Sheet
Write the answer to each specified problem on the indicated line on this answer sheet The work supporting these answers must be done neatly on separate paper and included along with this answer sheet and the downloaded worksheets as part of the complete packet Submit the packet to your Precalculus teacher by September 72010 If your Precalculus class is scheduled for second semester you must submit the packet to Mr Perkins or Mr Corbett in the Green Math office by September 72010 Packets will not be accepted after this date
Please note that the last page is part ofthe packet for Honors level only
Algebra 1
Lesson 12-3
2 ____
4 ____
6 ____
8 ____
Lesson 12-4
2 ____
4 ____
6 ____
8 ____
Lesson 12-7
1 ____
3 ____
5 ____
7 ____
9 ____
11 ____
13 ____
15 ____
17 ____
19 ____
21 ____
Lesson 12-8
1 ____
3 ____
11 ____
12 ____
Geometry
Lesson 1-3
5
7
9
11
17
18
19
21
Lesson 7-3
1 ____
2 ____
3 ____
4 ____
5
6
7
8
9
10
lL
12
Lesson 7-4
1
2 ___
9
10
11 ___
18 ___
19 ____
20 ____
Lesson 7-6
2
3
Lesson 7-7
1
2
3
Algebra 1
Lesson 2-1
2 ____
4 ____
5 J
10 x
6
7
8
9
10
11
12
Lesson 2-4 17
2 19
4 21
5 23
6 Lesson 6-3
8 2
9 4
10 6
11 14
12 16
14 18
16
Lesson 5-6 Lesson 6-4
1 1
3 3
5 5
7 8
9 10
11 12
13
15
The following problems are for Honors level only
Lesson 5-1
3
5
7
9
11
13
15
17
Lesson 5p7
1
3
5
7
9
11
13
15
17
19
21
23
Lesson 5-8
1
2
3
9
10
Refer to the indicated lesson in the Algebra 2 textbook for help with the following problems
Skills Practice Writing Linear Equations
State the slope and y-intercept of the graph of each equation
32y = -sx + 3 43x+4y=4 8 2) = 6 - 5x63x-2y+6=0
Write an equation in slope-intercept form for each graph
9 1141 II n1 2)
II ICl
II 1(-1 -4)
1 j
I I
x
11
++++(4 -1)
~y I
03) 1
(J x i
(3 -3)~ Ll L~
Write an equation in slope-intercept form for the line that satisfies each set of conditions
12 slope 3 passes through (1 -3)
16 passes through (-1 -2) and (-a 1)
14 slope -2 passes through (0 -5)
Skills Practice Radical Expressions
Simplify
1 Y24 7 4-id2f5 13 (4vi2)(aV20) 19 (1 - V5)(1 + V5)
3ru 9 -f 10 vi2 - 2v3 + Vi08
O 4V50x5 liZ11 j5z 17 2WB - I7s - vi2
-- - ---shy
Refer to the indicated lesson in the Algebra 2 textbook for help with the following problems
Skills Practice Solving Quadratic Equations by Factoring
Solve each equation by factoring
14 x2 + 18x = -812x2 - 100 0
16 2x2 + 5x - 3 == 04x2-4x+3=0
18 3x2 - l3x - 10 == 06x2 - ax - 10 =0
Study Guide and Intervention Completing the Square
Complete the Square To complete the square for a quadratic expression of the form x2 + bx follow these steps
1 Find -+ 2 Square -+ S Add ( Yto x2 + bx
poundxample 1 Find the value of c that makes x2 + 22x + c a perfect square trinomial Then write the trinomial as the square of a binomial
Step 1 b == 22 = 11
Step 2 112 = 121 Step 3 c = 121
The trinomial is x2 + 22x + 121 which can be written as (x + 11)2
example 2 Solve 2x2 - ax - 24 = 0 by completing the square
2x2 - ax - 24 0 Original equation
2x2 - ax - 24 02 = 2 DIvide each side by 2
x2 - 4x - 12 0 il- 4x - 12 is not a perfect square
x2 - 4x = 12 Add 12 to each side
2x - 4x + 4 = 12 + 4 Since (-tt =4add4Ioeachslde
(x - 2)2 16 Factor the square X - 2 = plusmn4 Square Root Property
x = 6 or x = - 2 Solve each equation
The solution set is 6 -2
Find the value of c that makes each trinomial a perfect square Then write the trinomial as a perfect square
25 2 11 x2 - lOx + c 3 x - ax + c bull x + 2x + c
Solve each equation by completingthe square
102x2 - ax + 1 = 0 12 25x2 + 40x - 9 = 0
--_bull _ _ -
This page is for students entering Precalculus Honors Refer to the indicated lesson in the Algebra 2 textbook for help
Practice Skills Practice Monomials Rational Exponents
Simplify Assume that no variable equals G Write each expression in radical form 1
136
Write each radical using rational exponents 12m8y 6
9 -9my 5 V5i -278(-7)
11 160 7 Vi53 18 -(4w-3z-5)(8w)2
Evaluate each expression15 (fd2f4)4(-fd5f)8 (3x-2y3X5xy-8)
17 (x-3)4y-2 Simplify each expression 12 s
17c6 c6
s IS 162
1 5 15 21i 278
JY 2
28-1 ji
Study Guide and Intervention Radical Equations and Inequalities
SOlve each equation
13 + 2xv3 5 2 2vSx + 4 + 1 = 15 S8+Vx+l=2
9 vx2 + 7x = v7x - 9 IG4V2x + 11- 2 = 10
Name ____________-Precalculus Summer Work Answer Sheet
Write the answer to each specified problem on the indicated line on this answer sheet The work supporting these answers must be done neatly on separate paper and included along with this answer sheet and the downloaded worksheets as part of the complete packet Submit the packet to your Precalculus teacher by September 72010 If your Precalculus class is scheduled for second semester you must submit the packet to Mr Perkins or Mr Corbett in the Green Math office by September 72010 Packets will not be accepted after this date
Please note that the last page is part ofthe packet for Honors level only
Algebra 1
Lesson 12-3
2 ____
4 ____
6 ____
8 ____
Lesson 12-4
2 ____
4 ____
6 ____
8 ____
Lesson 12-7
1 ____
3 ____
5 ____
7 ____
9 ____
11 ____
13 ____
15 ____
17 ____
19 ____
21 ____
Lesson 12-8
1 ____
3 ____
11 ____
12 ____
Geometry
Lesson 1-3
5
7
9
11
17
18
19
21
Lesson 7-3
1 ____
2 ____
3 ____
4 ____
5
6
7
8
9
10
lL
12
Lesson 7-4
1
2 ___
9
10
11 ___
18 ___
19 ____
20 ____
Lesson 7-6
2
3
Lesson 7-7
1
2
3
Algebra 1
Lesson 2-1
2 ____
4 ____
5 J
10 x
6
7
8
9
10
11
12
Lesson 2-4 17
2 19
4 21
5 23
6 Lesson 6-3
8 2
9 4
10 6
11 14
12 16
14 18
16
Lesson 5-6 Lesson 6-4
1 1
3 3
5 5
7 8
9 10
11 12
13
15
The following problems are for Honors level only
Lesson 5-1
3
5
7
9
11
13
15
17
Lesson 5p7
1
3
5
7
9
11
13
15
17
19
21
23
Lesson 5-8
1
2
3
9
10
-- - ---shy
Refer to the indicated lesson in the Algebra 2 textbook for help with the following problems
Skills Practice Solving Quadratic Equations by Factoring
Solve each equation by factoring
14 x2 + 18x = -812x2 - 100 0
16 2x2 + 5x - 3 == 04x2-4x+3=0
18 3x2 - l3x - 10 == 06x2 - ax - 10 =0
Study Guide and Intervention Completing the Square
Complete the Square To complete the square for a quadratic expression of the form x2 + bx follow these steps
1 Find -+ 2 Square -+ S Add ( Yto x2 + bx
poundxample 1 Find the value of c that makes x2 + 22x + c a perfect square trinomial Then write the trinomial as the square of a binomial
Step 1 b == 22 = 11
Step 2 112 = 121 Step 3 c = 121
The trinomial is x2 + 22x + 121 which can be written as (x + 11)2
example 2 Solve 2x2 - ax - 24 = 0 by completing the square
2x2 - ax - 24 0 Original equation
2x2 - ax - 24 02 = 2 DIvide each side by 2
x2 - 4x - 12 0 il- 4x - 12 is not a perfect square
x2 - 4x = 12 Add 12 to each side
2x - 4x + 4 = 12 + 4 Since (-tt =4add4Ioeachslde
(x - 2)2 16 Factor the square X - 2 = plusmn4 Square Root Property
x = 6 or x = - 2 Solve each equation
The solution set is 6 -2
Find the value of c that makes each trinomial a perfect square Then write the trinomial as a perfect square
25 2 11 x2 - lOx + c 3 x - ax + c bull x + 2x + c
Solve each equation by completingthe square
102x2 - ax + 1 = 0 12 25x2 + 40x - 9 = 0
--_bull _ _ -
This page is for students entering Precalculus Honors Refer to the indicated lesson in the Algebra 2 textbook for help
Practice Skills Practice Monomials Rational Exponents
Simplify Assume that no variable equals G Write each expression in radical form 1
136
Write each radical using rational exponents 12m8y 6
9 -9my 5 V5i -278(-7)
11 160 7 Vi53 18 -(4w-3z-5)(8w)2
Evaluate each expression15 (fd2f4)4(-fd5f)8 (3x-2y3X5xy-8)
17 (x-3)4y-2 Simplify each expression 12 s
17c6 c6
s IS 162
1 5 15 21i 278
JY 2
28-1 ji
Study Guide and Intervention Radical Equations and Inequalities
SOlve each equation
13 + 2xv3 5 2 2vSx + 4 + 1 = 15 S8+Vx+l=2
9 vx2 + 7x = v7x - 9 IG4V2x + 11- 2 = 10
Name ____________-Precalculus Summer Work Answer Sheet
Write the answer to each specified problem on the indicated line on this answer sheet The work supporting these answers must be done neatly on separate paper and included along with this answer sheet and the downloaded worksheets as part of the complete packet Submit the packet to your Precalculus teacher by September 72010 If your Precalculus class is scheduled for second semester you must submit the packet to Mr Perkins or Mr Corbett in the Green Math office by September 72010 Packets will not be accepted after this date
Please note that the last page is part ofthe packet for Honors level only
Algebra 1
Lesson 12-3
2 ____
4 ____
6 ____
8 ____
Lesson 12-4
2 ____
4 ____
6 ____
8 ____
Lesson 12-7
1 ____
3 ____
5 ____
7 ____
9 ____
11 ____
13 ____
15 ____
17 ____
19 ____
21 ____
Lesson 12-8
1 ____
3 ____
11 ____
12 ____
Geometry
Lesson 1-3
5
7
9
11
17
18
19
21
Lesson 7-3
1 ____
2 ____
3 ____
4 ____
5
6
7
8
9
10
lL
12
Lesson 7-4
1
2 ___
9
10
11 ___
18 ___
19 ____
20 ____
Lesson 7-6
2
3
Lesson 7-7
1
2
3
Algebra 1
Lesson 2-1
2 ____
4 ____
5 J
10 x
6
7
8
9
10
11
12
Lesson 2-4 17
2 19
4 21
5 23
6 Lesson 6-3
8 2
9 4
10 6
11 14
12 16
14 18
16
Lesson 5-6 Lesson 6-4
1 1
3 3
5 5
7 8
9 10
11 12
13
15
The following problems are for Honors level only
Lesson 5-1
3
5
7
9
11
13
15
17
Lesson 5p7
1
3
5
7
9
11
13
15
17
19
21
23
Lesson 5-8
1
2
3
9
10
--_bull _ _ -
This page is for students entering Precalculus Honors Refer to the indicated lesson in the Algebra 2 textbook for help
Practice Skills Practice Monomials Rational Exponents
Simplify Assume that no variable equals G Write each expression in radical form 1
136
Write each radical using rational exponents 12m8y 6
9 -9my 5 V5i -278(-7)
11 160 7 Vi53 18 -(4w-3z-5)(8w)2
Evaluate each expression15 (fd2f4)4(-fd5f)8 (3x-2y3X5xy-8)
17 (x-3)4y-2 Simplify each expression 12 s
17c6 c6
s IS 162
1 5 15 21i 278
JY 2
28-1 ji
Study Guide and Intervention Radical Equations and Inequalities
SOlve each equation
13 + 2xv3 5 2 2vSx + 4 + 1 = 15 S8+Vx+l=2
9 vx2 + 7x = v7x - 9 IG4V2x + 11- 2 = 10
Name ____________-Precalculus Summer Work Answer Sheet
Write the answer to each specified problem on the indicated line on this answer sheet The work supporting these answers must be done neatly on separate paper and included along with this answer sheet and the downloaded worksheets as part of the complete packet Submit the packet to your Precalculus teacher by September 72010 If your Precalculus class is scheduled for second semester you must submit the packet to Mr Perkins or Mr Corbett in the Green Math office by September 72010 Packets will not be accepted after this date
Please note that the last page is part ofthe packet for Honors level only
Algebra 1
Lesson 12-3
2 ____
4 ____
6 ____
8 ____
Lesson 12-4
2 ____
4 ____
6 ____
8 ____
Lesson 12-7
1 ____
3 ____
5 ____
7 ____
9 ____
11 ____
13 ____
15 ____
17 ____
19 ____
21 ____
Lesson 12-8
1 ____
3 ____
11 ____
12 ____
Geometry
Lesson 1-3
5
7
9
11
17
18
19
21
Lesson 7-3
1 ____
2 ____
3 ____
4 ____
5
6
7
8
9
10
lL
12
Lesson 7-4
1
2 ___
9
10
11 ___
18 ___
19 ____
20 ____
Lesson 7-6
2
3
Lesson 7-7
1
2
3
Algebra 1
Lesson 2-1
2 ____
4 ____
5 J
10 x
6
7
8
9
10
11
12
Lesson 2-4 17
2 19
4 21
5 23
6 Lesson 6-3
8 2
9 4
10 6
11 14
12 16
14 18
16
Lesson 5-6 Lesson 6-4
1 1
3 3
5 5
7 8
9 10
11 12
13
15
The following problems are for Honors level only
Lesson 5-1
3
5
7
9
11
13
15
17
Lesson 5p7
1
3
5
7
9
11
13
15
17
19
21
23
Lesson 5-8
1
2
3
9
10
Name ____________-Precalculus Summer Work Answer Sheet
Write the answer to each specified problem on the indicated line on this answer sheet The work supporting these answers must be done neatly on separate paper and included along with this answer sheet and the downloaded worksheets as part of the complete packet Submit the packet to your Precalculus teacher by September 72010 If your Precalculus class is scheduled for second semester you must submit the packet to Mr Perkins or Mr Corbett in the Green Math office by September 72010 Packets will not be accepted after this date
Please note that the last page is part ofthe packet for Honors level only
Algebra 1
Lesson 12-3
2 ____
4 ____
6 ____
8 ____
Lesson 12-4
2 ____
4 ____
6 ____
8 ____
Lesson 12-7
1 ____
3 ____
5 ____
7 ____
9 ____
11 ____
13 ____
15 ____
17 ____
19 ____
21 ____
Lesson 12-8
1 ____
3 ____
11 ____
12 ____
Geometry
Lesson 1-3
5
7
9
11
17
18
19
21
Lesson 7-3
1 ____
2 ____
3 ____
4 ____
5
6
7
8
9
10
lL
12
Lesson 7-4
1
2 ___
9
10
11 ___
18 ___
19 ____
20 ____
Lesson 7-6
2
3
Lesson 7-7
1
2
3
Algebra 1
Lesson 2-1
2 ____
4 ____
5 J
10 x
6
7
8
9
10
11
12
Lesson 2-4 17
2 19
4 21
5 23
6 Lesson 6-3
8 2
9 4
10 6
11 14
12 16
14 18
16
Lesson 5-6 Lesson 6-4
1 1
3 3
5 5
7 8
9 10
11 12
13
15
The following problems are for Honors level only
Lesson 5-1
3
5
7
9
11
13
15
17
Lesson 5p7
1
3
5
7
9
11
13
15
17
19
21
23
Lesson 5-8
1
2
3
9
10
5
6
7
8
9
10
lL
12
Lesson 7-4
1
2 ___
9
10
11 ___
18 ___
19 ____
20 ____
Lesson 7-6
2
3
Lesson 7-7
1
2
3
Algebra 1
Lesson 2-1
2 ____
4 ____
5 J
10 x
6
7
8
9
10
11
12
Lesson 2-4 17
2 19
4 21
5 23
6 Lesson 6-3
8 2
9 4
10 6
11 14
12 16
14 18
16
Lesson 5-6 Lesson 6-4
1 1
3 3
5 5
7 8
9 10
11 12
13
15
The following problems are for Honors level only
Lesson 5-1
3
5
7
9
11
13
15
17
Lesson 5p7
1
3
5
7
9
11
13
15
17
19
21
23
Lesson 5-8
1
2
3
9
10
5 J
10 x
6
7
8
9
10
11
12
Lesson 2-4 17
2 19
4 21
5 23
6 Lesson 6-3
8 2
9 4
10 6
11 14
12 16
14 18
16
Lesson 5-6 Lesson 6-4
1 1
3 3
5 5
7 8
9 10
11 12
13
15
The following problems are for Honors level only
Lesson 5-1
3
5
7
9
11
13
15
17
Lesson 5p7
1
3
5
7
9
11
13
15
17
19
21
23
Lesson 5-8
1
2
3
9
10
The following problems are for Honors level only
Lesson 5-1
3
5
7
9
11
13
15
17
Lesson 5p7
1
3
5
7
9
11
13
15
17
19
21
23
Lesson 5-8
1
2
3
9
10