Algebra II Final Exam Review Ch. Tests 1 51112 Answers

7232019 Algebra II Final Exam Review Ch Tests 1 51112 Answers

httpslidepdfcomreaderfullalgebra-ii-final-exam-review-ch-tests-1-51112-answers 114

Name Class Date

Prentice Hall Foundations Algebra 2 bull Teaching Resources

Copyright copy by Pearson Education Inc or its affiliates All Rights Reserved67

Chapter 1 Test Form K

Do you know HOW

Identify a pattern and 1047297nd the next three numbers in the pattern

1 2521 3 7c 2 64 32 16 8c

3 What properties of real numbers are illustrated by each equation below

a 28 1 3 5 3 1 (28)

b 4 1 (24) 5 0

c 2(8 1 t ) 5 2 8 1 2 t

d78

87 5 1

Evaluate the expression for the given value of the variable

4 a22 2(a 1 1) a 5 3 5 5(2s 2 1) 2 3(s 1 2) s 5 4

6 Te expression 15 1 5 x models the daily cost in dollars of renting scuba gear

from the water sports store In the expression x represents the number of

hours the scuba gear is used What is the cost of renting scuba gear for a day

when the gear is used for 3 hours

Solve each equation

7 2r 1 2 5 3r 2 5 8 8(t 1 1) 5 64

Solve each equation for x State any restrictions on the variables

9 xt 2 1

8 1 3 5 a 106 x 2 1

5 5 y

Each term is 4 more than the previousterm 11 15 19

1

7

17

7

$30

Commutative Property of Addition

Inverse Property of Addition

Distributive Property

Inverse Property of Multiplication

Each term is half of the previousterm 4 2 1

x 58a 2 23

t t u 0 x 5

5 y 1 1

6



Name Class Date



Write an equation and solve the problem

11 wo buses leave Columbus Ohio at the same time and travel in opposite

directions One bus averages 55 mih and the other bus averages 48 mih

When will they be 618 mi apart

Solve each inequality Graph the solution

12 2n 1 1 $ 7 13 2a 1 5 6a 1 1

Solve each compound inequality Graph the solutions

14 3 x 26

or

2 x 1 1 $ 3 15 22t 1 2 4

and

2t 6

Solve each equation Check for extraneous solutions

16 u 3 x 1 3 u 5 18 17 u b 1 2 u 5 2b

18 Te weatherman announced that the temperature T over the next few weeks

will be at least 648F and at most 788F Write an absolute value inequality for the

temperature over the next few weeks

Do you UNDERSTAND

19 What is another name for the multiplicative inverse

20 Reasoning Explain in words why 2 u x u 24 has no solution

21 Open-Ended What is the difference between simplifying an expression and

evaluating an expression

Chapter 1 Test (continued) Form K

6 h

210 3 4 5 6 210 3 4 5 6

n L 3 a S 1

21 R t R 3

x 5 5 or x 5 27

raquoT 2 71hellip K 7

x K 22 or x L 1

b 5 2

3 2 1 0 1 2 3 3 2 1 0 1 2 3

reciprocal

Answers may vary Sample Dividing both sides by 2 gives | x | R 22 The absolute valueof any number must be nonnegative so the inequality has no solution

Answers may vary Sample Simplifying an expression is rewriting it using theproperties of real numbers and combining like terms resulting in a simpler expressionEvaluating an expression is substituting values for the variables resulting in anumerical value





Name Class Date

Do you know HOW

Determine whether each relation is a function

1 5(0 2) (4 3) (5 5) (4 7)6 2 5(21 0) (25 2) (0 4) (228)6

Evaluate each function for the given value of x and write the input x and output

f (x) as an ordered pair

3 f ( x ) 5 7 x 1 5 for x 522 4 f ( x ) 51

4

x 2 6 for x 5 8

For each function determine whether y varies directly with x If so 1047297nd the

constant of variation and write the function rule

5 6

Graph each equation

7 4 x 2 3 y 5 22 8 3 1 x 1 y 5 0

Write in point-slope form an equation of the line through each pair of points

9 (5 8) and (022) 10 (1 3) and (6 22)


x y

3

5

8

12

20

32

x y

6

9

15

11

14

20

no

(22 29)

yes k 5 4 y 5 4 x no

(8 24)

yes

x

y

2

2

2

2

O

x y

4

2

y 2 8 5 2( x 2 5) or y 1 2 5 2( x 2 0)

y 2 3 5 2( x 2 1) or y 1 2 5 2( x 2 6)





Name Class Date

Write the function rule g (x) for the given transformations applied to the graph

of f (x)5 x2

11 4 units down 12 7 units up

1 unit left 3 units right

Graph each equation Ten describe the transformation from the parent

function f (x)5 |x|

13 y 5 | x 2 2| 14 y 5 2| x |

Graph each absolute-value inequality

15 y u 3 x u 1 1 16 y 2 3 $ u x 1 5 u

Do you UNDERSTAND

17 If y varies directly with x and y 5 18 when x 5 6 what is the constant of

variation Find the value of y when x 5 10

18 Open-Ended Graph a line that has a slope that is unde1047297ned

19 Suppose you manufacture and sell tarps Te table at the right

displays your current sizes and prices

a Draw a scatter plot showing the relationship between the area

of a tarp and its price Use area as the independent variable

b Draw a trend line and write the equation

c Reasoning Is this an accurate model Explain

d Using your model predict the price of a 250 ft2 tarp


PriceSize (ft2)

35

48

80

120

192

200

320

$139

$199

$319

$479

$769

$799

$1279

y

x 4

8

12

14

100 200 300

g( x ) 5 ( x 1 1)2 2 4

translation 2 units right reflection in the x -axis

g( x ) 5 ( x 2 3)2 1 7

b Equations should be close to y 5 004 x 1 002

c Yes all the points are very close to the line so thelinear model is accurate

d about $1002

O

2

4

y

x 22 4

O

2

4

y

x

224 4

O x

y

2 2

2

4

O

x

y

246

2

4

6

k 5 3 y 5 30

Answers may vary Sample a graph of any vertical line



Name Class Date




Do you know HOW

Solve each system by substitution or elimination

1 e2 x 2 y 5 7

6 x 2 3 y 5 14 2 e5 x 1 2 y 5 12

26 x 2 2 y 5 214 3 e 5 x 1 2 y 5 28

4 x 1 3 y 5 2

Graph the solution of each system

4 e y $ 22 x 1 3 y x

5 e y 2 1 3 x y 1 1 x

6 e y 2 x 1 4 y 2 x 1 1

7 You have 13 bills in your wallet in $1 $5 and $10 bills Tere are twice as

many $1 bills as $5 bills Te number of $10 bills is one more than the number

of $5 bills How many of each bill do you have How much money do

you have

Graph the system of constraints Identify all vertices Find the values of x and y

that maximize or minimize the objective function Ten 1047297nd the maximum or

minimum value

8 bull y 2

x 1

74 y x 1 8

x $ 0 y $ 0

Maximize for P5 5 x1 2 y

y

x

22

2

4

4 4

y

x

2

2

4

4 42

y

x

2

2

4

6

42

y

x

4

6

4 6 A(0 0)

B(0 2)

D(7 0)

C (4 3)

2

no solution (2 1) (24 6)

six $1 bills three $5 bills four $10 bills $61

max P at (7 0) 5 35



Name Class Date




9 What is the solution of the system represented by the matrix

C2 21 2

3 2 21

21 2

3 2

dagger

12

0

11S (24 1 3) (1 24 3) (3 24 1) (1 3 24)

Do you UNDERSTAND

10 Writing Explain how you determine whether a system of linear equations is

independent dependent or inconsistent without graphing the lines

11 Mechanic A charges $45 for car repairs and $80 for each hour spent on your car

Mechanic B charges $60 for repairs and $60 for each hour spent on your car

a If your car takes 5 hours to repair which mechanic charges the least

money

b How much will it cost you to have the work done by the less expensive

mechanic

12 At a bookstore you spend $76 on 11 books and magazines Books cost $8 each

and magazines cost $5 each Write a matrix that represents this system How

many books and how many magazines did you buy

13 Reasoning Te sum of three numbers is 15 Te second number is twice

the third number Do you have enough information to determine the threenumbers If so what are the three numbers If not what information do you

still need No you need a third equation that defines another relationshipbetween two or three of the numbers

C

Rewrite both equations in slope-intercept form If the lines have the same slopeand same y -intercept then they are equations of the same line and the system isdependent If the lines have the same slope but different y -intercepts they are parallel

lines and the system is inconsistent If the lines have different slopes then the systemis independent

Mechanic B

$360

B1 1

8 5 ` 11

76R 7 books 4 magazines



Name Class Date



Do you know HOW

Identify the vertex the axis of symmetry the maximum or minimum value and

the domain and the range of each function

1 y 5 3( x 2 2)2 1 6

2 y 52( x 1 4)2 23

3 y 5 2 x 2 2 2 x 1 3 4 y 5 3 x 2 2 4 x 1 1

Factor each expression

5 4c 2 1 4c 1 1 6 g 2 2 49

Use a graphing calculator to solve each equation Give each answer to at most

two decimal places

7 5 x 2 1 9 x 1 4 5 0 8 23 x 2 2 2 x 1 7 5 0

Complete the square

9 x 2 1 14 x 1 j 10 x 2 2 18 x 1 j

Evaluate the discriminant for each equation Determine the number of real

solutions

11 5 x 2 1 x 1 6 5 0 12 23 x 2 2 4 x 1 1 5 0

Plot each complex number and 1047297nd its absolute value

13 7 2 2i 14 8i


(2c 1 1)2 (g 1 7)(g27)

49 81

vertex 5 (2 6) axis of symmetry x 5 2 minimum 5 6 domain 5 all real numbersrange 5 all real numbers L 6

vertex 5 (24 23) axis of symmetry x 524 maximum 523 domain 5 all realnumbers range = all real numbers K23]

O

x

y

4

8

4

10

4

x 5 12 and x 5 219 x 5 2 1 and x 52 08

2119 0 real solutions 28 2 real solutions

53 8

O

imaginary axis

real axis

4i

8i

48 4

4i

7 2i

8i

O

imaginary axis

real axis

4i

8i

48 4

4i

8i

O x

y

4

6

224

2



Name Class Date



Find all solutions to each quadratic equation

15 y 5 2 x 2 2 2 x 1 5 16 y 5 3 x 2 1 2 x 1 4

Solve each system by graphing

17 y x 2 18 y x 2 1 3 x

y 2 x 2 1 4 y x 2 2 2

Do you UNDERSTAND

19 Te parabolic path of a hit tennis ball can be modeled by the table at

the right Te top of the net is at (4 10)

a Find a quadratic model for the data

b Will the ball go over the net If not will it hit the net on the way up

or the way down

20 Writing Explain the relationship between the x -intercepts of quadratic

function and the zeros of a quadratic function

21 Te period of a pendulum is the time the pendulum takes to swing back and

forth Te function l 5 081t 2 relates the length l in feet of a pendulum to the

period t a If a pendulum is 30 ft long what is the period of the pendulum in seconds

b Reasoning Why does only one of the solutions work for this problem


x y

1

2

7

7

85

1

The other solution is negative and you cannot have negative time

12

132i

12

232i

213

1 11

3 i 2

13

2 11

3 i

y 5 205 x 2 1 3 x 1 45

No it will hit the net on the way down

t 5 61 s

They are the same thing because the x -intercepts are the x -coordinates where thequadratic function equals zero

O

x

y

2 42

2

2

4

6

4 O

x

y

2 42

22

2

4

6

4

d d



Name Class Date



Do you know HOW

Write each polynomial in standard form Ten classify it by degree and by

number of terms

1 6 x 5 2 2 x 2 1 1 2 2 x 5 2 x 2 2 3 x 1 6 x 3 2 5 x 1 1

Determine the end behavior of the graph of each polynomial function

3 y 5 3 x 1 2 x 2 2 4 4 y 5 4 x 3 2 7 x 1 2

Find the zeros of each function State the multiplicity of multiple zeros

5 y 5 ( x 1 2)( x 2 3)2 6 y 5 x 3 1 4 x 2

Find the real solutions of each equation using a graphing calculator Where

necessary round to the nearest hundredth

7 5 x 3 2 2 x 2 2 1 5 0 8 2 x 4 1 4 x 2 5 4

Divide using long division Check your answers

9 ( x 2 1 6 x 1 24) 4 ( x 1 4) 10 ( x 3 1 2 x 2 1 4 x 1 10) 4 ( x 1 1)

Write a polynomial function with rational coeffi cients so that P (x) = 0 has the

given roots

11 21 2 6 12 2i 2

Find all the zeros of each function

13 y 5 x 3 1 2 x 2 1 4 x 1 8 14 y 5 x 4 2 14 x 2 1 45


4 x 5 2 2 x 2 1 1 quintic trinomial

up and up

22 multiplicity 1 3 multiplicity 2

6 x 3 1 x 2 2 8 x 1 1 cubic 4 terms

down and up


x 1 2 R 16 x 2 1 x 1 3 R 7

075 2086 086

P ( x ) 5 x 3 2 7 x 2 1 4 x 1 12

22 22i 2i

P ( x ) 5 x 4 2 x 2 2 2

23 3 2 5 5



Name Class Date



Expand each binomial

15 ( x 1 2)6 16 (2 x 1 3)5

17 Find a cubic function to model the data in the table Let x represent years after 1990

Determine the cubic function that is obtained from

the parent function y = x3 after each sequence of

transformations 18 a vertical stretch by a factor of 3

a re1047298ection across the y -axis

and a horizontal translation 4 units right

19 a re1047298ection across the x -axis a horizontal translation 2 units left and a vertical

translation 6 units down

Do you UNDERSTAND 20 Te product of three integers is 56 Te second number is twice the 1047297rst

number Te third number is 1047297ve more than the 1047297rst number What are the

three numbers

21 What is P (2) given that P ( x )5 3 x 4 2 x 3 1 2 x 2 2 10 Use synthetic division and

the Remainder Teorem

22 Open-Ended Write a polynomial function of degree 3 with rational

coeffi cients and exactly one real zero List all of the zeros of the function

21 A cubic box is 4 in on each side If each dimension is increased by 2 x in what

is the polynomial function modeling the new volume V


Births

(millions)Year

416

389

406414

1990

1995

20002005

SOURCE wwwcdcgov

Births in the United States y N 2000073332 x 3 1 00202 x 2 2 01407 x 1 418

P (2) 5 38

Answers will vary Sample y 5 x 3 2 3 x 2 1 5 x 2 15 zeros 3 i 5 2 i 5

x 6 1 12 x 5 1 60 x 4 1 160 x 3

1 240 x 2 1 192 x 1 64

32 x 5 1 240 x 4 1 720 x 3 1 1080 x 2 1 810 x 1 243

y 5 23( x 2 4)3

y 5 2( x 1 2)3 2 6

2 4 7

V 5 8 x 3 1 48 x 2 1 96 x 1 64 in3



Name Class Date



Do you know HOW

1 Your brother is ordering 5 pizzas for the family Tere are 18 different kinds of

pizza How many different ways could he order 5 different kinds of pizzas

A box contains 8 blueberry muffi ns 6 banana muffi ns and 4 pumpkin muffi ns

You pick one muffi n from the box at random Find each theoretical probability

2 P (banana) 3 P (not pumpkin) 4 P (banana or pumpkin)

5 J and K are independent events P ( J ) = 14 and P (K ) =

23 Find P ( J and K )

6 A company is testing a new sunscreen to see if it is more likely to cause skin

irritation that the sunscreen it currently sells Te results of the test are shown in the

contingency table

Te company decides to make and sell the new sunscreen Based on the results of the

test did the company make a good decision Explain

For Exercises 7 and 8 use the following data set 27 35 32 25 36

7 Find the mean variance and standard deviation for the data set

8 Within how many standard deviations of the mean do all of the data values fall


Skin irritation

Used new sunscreen

TotalsNo skin irritation

Used current sunscreen

Totals

2 40

3 40

5

38

37

75 80

13

79

59

16

Answers may vary Sample Yes about 2 out of 40 people who use the new sunscreenhave skin irritation compared to about 3 out of 40 people who use the currentsunscreen Based on this study the new sunscreen is no more likely to cause skinirritation than the current sunscreen so the company made a good decision

All of the values fall within 2 standard deviations of the mean

31 188 asymp 485

8568 ways



Name Class Date



9 A team of biologists is studying the foxes in a state forest Te team captures 4 foxes

weighs them and then releases them Which type of study method is described in this

situation Should the sample statistics be used to make a general conclusion about thepopulation

Find the probability of x successes in n trials for the given probability of success p

on each trial

10 x 5 4 n 5 9 p 5 03 11 x 5 7 n 5 12 p 5 06 12 x 5 2 n 5 7 p 5 05

13 A set of data has a normal distribution with a mean of 36 and a standard deviation of 4

What percent of the data are within the interval from 32 to 40

Do you UNDERSTAND

14 An alumni association compiled the following information about its recent

graduates

bull 20 graduated with a B average or better

bull 95 of those students who graduated with a B average or better were

employed within 6 months of graduation

bull 50 of those that graduated with less than a B average were employed

within 6 months of graduation

a What is the probability that someone is employed within 6 months of

graduation given that he had less than a B average

b What is the probability that someone is not employed within 6 months of

graduation given that she had a B average or better

15 Make a box-and-whisker plot for this set of values 10 7 12 8 18 12 10 16

16 Reasoning On a history test there were 12 As 8 Bs 6 Cs and 1 D Are the

numerical scores on the test likely to be normally distributed Explain


observational study Answers may vary Sample The sample size may be

too small for the sample statistics to be reliable as a general conclusion

N 017 N 023 N 016

about 68

4 6 8 10 12 14 16 18

005 or 5

No there are more As than any other test grade so there are more high scores thanlow scores The data are likely skewed rather than normally distributed

050 or 50





Name Class Date

Do you know HOW

Find each sum or difference

1 c 6 3

21 24d 1 c1 27

5 22d 2 c 9 4

23 6d 2 c 4 1

22 6d 3 pound 2 3

24 1

8 26

sect 1 pound 5 26

25 7

2 3

sect

Find the value of each variable

4 c3 x

6 7 d 1 c21 24

y z d 5 c2 23

9 5 d 5 c2 x 1 4 10

24 y 25 d 5 c10 2z

16 25 d

Find each product

6 c 4 7

21 2d c25 4

3 26d 7 c5 23

0 1d c 2 4

21 5d 8 f1 3g c4 25 1

2 3 6d

Do you UNDERSTAND

9 Writing Describe the matrix operations that you must use to solve the following

matrix equation Ten 1047297nd the value of X

2 c4 1

2 23d 1 2 X 5 c 22 22

22 4d


c7 24

4 26d

c1 226

11 216 d

First multiply by the scalar 2 Then use the Subtraction Property of Equality to isolate

the variable matrix Subtract corresponding elements Finally multiply each side by 12

and simplify X 5 c 7 22

23 5d

x 5 1 y 5 3 z 5 22 x 5 3 y 5 24 z 5 5

c 5 3

21 0d

c13 5

21 5 d

pound 7 23

29 8

10 23

sect

f10 4 19g





Name Class Date

Do you know HOW

Determine whether the following matrices are multiplicative inverses

10 c25 2

3 7d c1 23

3 8d 11 c2 5

1 3d c 3 25

21 2d 12 c4 3

2 2d pound 1 21

12

21 2sect

Use inverse matrices to 1047297nd the solution of each matrix equation

13 c5 1

23 8 d X 5 c54

2 d 14 c23 1

5 4 d X 5 c25 217

14 51 d 15 c4 23

1 28 d X 5 c14

211 d

Use matrices to solve the following systems of equations

16 e4 x 1 3 y 5 7

22 x 1 4 y 5 24 17 e x 1 20 5 23 y

5 x 5 4 2 2 y 18 bull 4 y 1 2z 5 2

5z 5 20 1 3 x

2 x 1 3z 5 7 2 8 y

Do you UNDERSTAND

19 Roger and Clarissa each sold boxes of cookies for a fundraiser Tey sold large

and small boxes for different prices Roger sold 12 large boxes and 8 small

boxes for a total of $5600 Clarissa sold 16 large boxes and 11 small boxes for a

total of $7550 Use a system of two equations and matrices to 1047297nd the price of

a large box and a small box


no yes yes

X 5 c10

4d

x5

2

2 y5

5

X 5 c2 7

1 4d

x5

4 y5

2

8

X 5 c52d

x 5 5 y 5 23 z 5 7

large $300 small $250



Name Class Date



Write an equation and solve the problem

11 wo buses leave Columbus Ohio at the same time and travel in opposite

directions One bus averages 55 mih and the other bus averages 48 mih

When will they be 618 mi apart

Solve each inequality Graph the solution

12 2n 1 1 $ 7 13 2a 1 5 6a 1 1

Solve each compound inequality Graph the solutions

14 3 x 26

or

2 x 1 1 $ 3 15 22t 1 2 4

and

2t 6

Solve each equation Check for extraneous solutions

16 u 3 x 1 3 u 5 18 17 u b 1 2 u 5 2b

18 Te weatherman announced that the temperature T over the next few weeks

will be at least 648F and at most 788F Write an absolute value inequality for the

temperature over the next few weeks

Do you UNDERSTAND

19 What is another name for the multiplicative inverse

20 Reasoning Explain in words why 2 u x u 24 has no solution

21 Open-Ended What is the difference between simplifying an expression and

evaluating an expression


6 h

210 3 4 5 6 210 3 4 5 6

n L 3 a S 1

21 R t R 3

x 5 5 or x 5 27

raquoT 2 71hellip K 7

x K 22 or x L 1

b 5 2

3 2 1 0 1 2 3 3 2 1 0 1 2 3

reciprocal

Answers may vary Sample Dividing both sides by 2 gives | x | R 22 The absolute valueof any number must be nonnegative so the inequality has no solution

Answers may vary Sample Simplifying an expression is rewriting it using theproperties of real numbers and combining like terms resulting in a simpler expressionEvaluating an expression is substituting values for the variables resulting in anumerical value





Name Class Date

Do you know HOW


1 5(0 2) (4 3) (5 5) (4 7)6 2 5(21 0) (25 2) (0 4) (228)6



3 f ( x ) 5 7 x 1 5 for x 522 4 f ( x ) 51

4

x 2 6 for x 5 8



5 6

Graph each equation

7 4 x 2 3 y 5 22 8 3 1 x 1 y 5 0


9 (5 8) and (022) 10 (1 3) and (6 22)


x y

3

5

8

12

20

32

x y

6

9

15

11

14

20

no

(22 29)


(8 24)

yes

x

y

2

2

2

2

O

x y

4

2

y 2 8 5 2( x 2 5) or y 1 2 5 2( x 2 0)

y 2 3 5 2( x 2 1) or y 1 2 5 2( x 2 6)





Name Class Date


of f (x)5 x2




function f (x)5 |x|

13 y 5 | x 2 2| 14 y 5 2| x |


15 y u 3 x u 1 1 16 y 2 3 $ u x 1 5 u

Do you UNDERSTAND












PriceSize (ft2)

35

48

80

120

192

200

320

$139

$199

$319

$479

$769

$799

$1279

y

x 4

8

12

14

100 200 300

g( x ) 5 ( x 1 1)2 2 4


g( x ) 5 ( x 2 3)2 1 7



d about $1002

O

2

4

y

x 22 4

O

2

4

y

x

224 4

O x

y

2 2

2

4

O

x

y

246

2

4

6

k 5 3 y 5 30




Name Class Date




Do you know HOW


1 e2 x 2 y 5 7

6 x 2 3 y 5 14 2 e5 x 1 2 y 5 12

26 x 2 2 y 5 214 3 e 5 x 1 2 y 5 28

4 x 1 3 y 5 2


4 e y $ 22 x 1 3 y x

5 e y 2 1 3 x y 1 1 x

6 e y 2 x 1 4 y 2 x 1 1




you have



minimum value

8 bull y 2

x 1

74 y x 1 8

x $ 0 y $ 0


y

x

22

2

4

4 4

y

x

2

2

4

4 42

y

x

2

2

4

6

42

y

x

4

6

4 6 A(0 0)

B(0 2)

D(7 0)

C (4 3)

2



max P at (7 0) 5 35



Name Class Date





C2 21 2

3 2 21

21 2

3 2

dagger

12

0

11S (24 1 3) (1 24 3) (3 24 1) (1 3 24)

Do you UNDERSTAND






money


mechanic







C



Mechanic B

$360

B1 1

8 5 ` 11




Name Class Date



Do you know HOW



1 y 5 3( x 2 2)2 1 6

2 y 52( x 1 4)2 23

3 y 5 2 x 2 2 2 x 1 3 4 y 5 3 x 2 2 4 x 1 1


5 4c 2 1 4c 1 1 6 g 2 2 49


two decimal places

7 5 x 2 1 9 x 1 4 5 0 8 23 x 2 2 2 x 1 7 5 0

Complete the square

9 x 2 1 14 x 1 j 10 x 2 2 18 x 1 j


solutions

11 5 x 2 1 x 1 6 5 0 12 23 x 2 2 4 x 1 1 5 0


13 7 2 2i 14 8i


(2c 1 1)2 (g 1 7)(g27)

49 81



O

x

y

4

8

4

10

4

x 5 12 and x 5 219 x 5 2 1 and x 52 08


53 8

O

imaginary axis

real axis

4i

8i

48 4

4i

7 2i

8i

O

imaginary axis

real axis

4i

8i

48 4

4i

8i

O x

y

4

6

224

2



Name Class Date




15 y 5 2 x 2 2 2 x 1 5 16 y 5 3 x 2 1 2 x 1 4


17 y x 2 18 y x 2 1 3 x

y 2 x 2 1 4 y x 2 2 2

Do you UNDERSTAND





or the way down








x y

1

2

7

7

85

1


12

132i

12

232i

213

1 11

3 i 2

13

2 11

3 i

y 5 205 x 2 1 3 x 1 45


t 5 61 s


O

x

y

2 42

2

2

4

6

4 O

x

y

2 42

22

2

4

6

4

d d



Name Class Date



Do you know HOW


number of terms

1 6 x 5 2 2 x 2 1 1 2 2 x 5 2 x 2 2 3 x 1 6 x 3 2 5 x 1 1


3 y 5 3 x 1 2 x 2 2 4 4 y 5 4 x 3 2 7 x 1 2


5 y 5 ( x 1 2)( x 2 3)2 6 y 5 x 3 1 4 x 2



7 5 x 3 2 2 x 2 2 1 5 0 8 2 x 4 1 4 x 2 5 4


9 ( x 2 1 6 x 1 24) 4 ( x 1 4) 10 ( x 3 1 2 x 2 1 4 x 1 10) 4 ( x 1 1)


given roots

11 21 2 6 12 2i 2


13 y 5 x 3 1 2 x 2 1 4 x 1 8 14 y 5 x 4 2 14 x 2 1 45



up and up


6 x 3 1 x 2 2 8 x 1 1 cubic 4 terms

down and up


x 1 2 R 16 x 2 1 x 1 3 R 7

075 2086 086

P ( x ) 5 x 3 2 7 x 2 1 4 x 1 12

22 22i 2i

P ( x ) 5 x 4 2 x 2 2 2

23 3 2 5 5



Name Class Date




15 ( x 1 2)6 16 (2 x 1 3)5











three numbers








Births

(millions)Year

416

389

406414

1990

1995

20002005

SOURCE wwwcdcgov


P (2) 5 38


x 6 1 12 x 5 1 60 x 4 1 160 x 3

1 240 x 2 1 192 x 1 64

32 x 5 1 240 x 4 1 720 x 3 1 1080 x 2 1 810 x 1 243

y 5 23( x 2 4)3

y 5 2( x 1 2)3 2 6

2 4 7

V 5 8 x 3 1 48 x 2 1 96 x 1 64 in3



Name Class Date



Do you know HOW










contingency table







Skin irritation

Used new sunscreen



Totals

2 40

3 40

5

38

37

75 80

13

79

59

16



31 188 asymp 485

8568 ways



Name Class Date







on each trial

10 x 5 4 n 5 9 p 5 03 11 x 5 7 n 5 12 p 5 06 12 x 5 2 n 5 7 p 5 05



Do you UNDERSTAND


graduates
















N 017 N 023 N 016

about 68

4 6 8 10 12 14 16 18

005 or 5


050 or 50





Name Class Date

Do you know HOW


1 c 6 3

21 24d 1 c1 27

5 22d 2 c 9 4

23 6d 2 c 4 1

22 6d 3 pound 2 3

24 1

8 26

sect 1 pound 5 26

25 7

2 3

sect


4 c3 x

6 7 d 1 c21 24

y z d 5 c2 23

9 5 d 5 c2 x 1 4 10

24 y 25 d 5 c10 2z

16 25 d

Find each product

6 c 4 7

21 2d c25 4

3 26d 7 c5 23

0 1d c 2 4

21 5d 8 f1 3g c4 25 1

2 3 6d

Do you UNDERSTAND



2 c4 1

2 23d 1 2 X 5 c 22 22

22 4d


c7 24

4 26d

c1 226

11 216 d




23 5d

x 5 1 y 5 3 z 5 22 x 5 3 y 5 24 z 5 5

c 5 3

21 0d

c13 5

21 5 d

pound 7 23

29 8

10 23

sect

f10 4 19g





Name Class Date

Do you know HOW


10 c25 2

3 7d c1 23

3 8d 11 c2 5

1 3d c 3 25

21 2d 12 c4 3

2 2d pound 1 21

12

21 2sect


13 c5 1

23 8 d X 5 c54

2 d 14 c23 1

5 4 d X 5 c25 217

14 51 d 15 c4 23

1 28 d X 5 c14

211 d


16 e4 x 1 3 y 5 7

22 x 1 4 y 5 24 17 e x 1 20 5 23 y

5 x 5 4 2 2 y 18 bull 4 y 1 2z 5 2

5z 5 20 1 3 x

2 x 1 3z 5 7 2 8 y

Do you UNDERSTAND







no yes yes

X 5 c10

4d

x5

2

2 y5

5

X 5 c2 7

1 4d

x5

4 y5

2

8

X 5 c52d

x 5 5 y 5 23 z 5 7






Name Class Date

Do you know HOW


1 5(0 2) (4 3) (5 5) (4 7)6 2 5(21 0) (25 2) (0 4) (228)6



3 f ( x ) 5 7 x 1 5 for x 522 4 f ( x ) 51

4

x 2 6 for x 5 8



5 6

Graph each equation

7 4 x 2 3 y 5 22 8 3 1 x 1 y 5 0


9 (5 8) and (022) 10 (1 3) and (6 22)


x y

3

5

8

12

20

32

x y

6

9

15

11

14

20

no

(22 29)


(8 24)

yes

x

y

2

2

2

2

O

x y

4

2

y 2 8 5 2( x 2 5) or y 1 2 5 2( x 2 0)

y 2 3 5 2( x 2 1) or y 1 2 5 2( x 2 6)





Name Class Date


of f (x)5 x2




function f (x)5 |x|

13 y 5 | x 2 2| 14 y 5 2| x |


15 y u 3 x u 1 1 16 y 2 3 $ u x 1 5 u

Do you UNDERSTAND












PriceSize (ft2)

35

48

80

120

192

200

320

$139

$199

$319

$479

$769

$799

$1279

y

x 4

8

12

14

100 200 300

g( x ) 5 ( x 1 1)2 2 4


g( x ) 5 ( x 2 3)2 1 7



d about $1002

O

2

4

y

x 22 4

O

2

4

y

x

224 4

O x

y

2 2

2

4

O

x

y

246

2

4

6

k 5 3 y 5 30




Name Class Date




Do you know HOW


1 e2 x 2 y 5 7

6 x 2 3 y 5 14 2 e5 x 1 2 y 5 12

26 x 2 2 y 5 214 3 e 5 x 1 2 y 5 28

4 x 1 3 y 5 2


4 e y $ 22 x 1 3 y x

5 e y 2 1 3 x y 1 1 x

6 e y 2 x 1 4 y 2 x 1 1




you have



minimum value

8 bull y 2

x 1

74 y x 1 8

x $ 0 y $ 0


y

x

22

2

4

4 4

y

x

2

2

4

4 42

y

x

2

2

4

6

42

y

x

4

6

4 6 A(0 0)

B(0 2)

D(7 0)

C (4 3)

2



max P at (7 0) 5 35



Name Class Date





C2 21 2

3 2 21

21 2

3 2

dagger

12

0

11S (24 1 3) (1 24 3) (3 24 1) (1 3 24)

Do you UNDERSTAND






money


mechanic







C



Mechanic B

$360

B1 1

8 5 ` 11




Name Class Date



Do you know HOW



1 y 5 3( x 2 2)2 1 6

2 y 52( x 1 4)2 23

3 y 5 2 x 2 2 2 x 1 3 4 y 5 3 x 2 2 4 x 1 1


5 4c 2 1 4c 1 1 6 g 2 2 49


two decimal places

7 5 x 2 1 9 x 1 4 5 0 8 23 x 2 2 2 x 1 7 5 0

Complete the square

9 x 2 1 14 x 1 j 10 x 2 2 18 x 1 j


solutions

11 5 x 2 1 x 1 6 5 0 12 23 x 2 2 4 x 1 1 5 0


13 7 2 2i 14 8i


(2c 1 1)2 (g 1 7)(g27)

49 81



O

x

y

4

8

4

10

4

x 5 12 and x 5 219 x 5 2 1 and x 52 08


53 8

O

imaginary axis

real axis

4i

8i

48 4

4i

7 2i

8i

O

imaginary axis

real axis

4i

8i

48 4

4i

8i

O x

y

4

6

224

2



Name Class Date




15 y 5 2 x 2 2 2 x 1 5 16 y 5 3 x 2 1 2 x 1 4


17 y x 2 18 y x 2 1 3 x

y 2 x 2 1 4 y x 2 2 2

Do you UNDERSTAND





or the way down








x y

1

2

7

7

85

1


12

132i

12

232i

213

1 11

3 i 2

13

2 11

3 i

y 5 205 x 2 1 3 x 1 45


t 5 61 s


O

x

y

2 42

2

2

4

6

4 O

x

y

2 42

22

2

4

6

4

d d



Name Class Date



Do you know HOW


number of terms

1 6 x 5 2 2 x 2 1 1 2 2 x 5 2 x 2 2 3 x 1 6 x 3 2 5 x 1 1


3 y 5 3 x 1 2 x 2 2 4 4 y 5 4 x 3 2 7 x 1 2


5 y 5 ( x 1 2)( x 2 3)2 6 y 5 x 3 1 4 x 2



7 5 x 3 2 2 x 2 2 1 5 0 8 2 x 4 1 4 x 2 5 4


9 ( x 2 1 6 x 1 24) 4 ( x 1 4) 10 ( x 3 1 2 x 2 1 4 x 1 10) 4 ( x 1 1)


given roots

11 21 2 6 12 2i 2


13 y 5 x 3 1 2 x 2 1 4 x 1 8 14 y 5 x 4 2 14 x 2 1 45



up and up


6 x 3 1 x 2 2 8 x 1 1 cubic 4 terms

down and up


x 1 2 R 16 x 2 1 x 1 3 R 7

075 2086 086

P ( x ) 5 x 3 2 7 x 2 1 4 x 1 12

22 22i 2i

P ( x ) 5 x 4 2 x 2 2 2

23 3 2 5 5



Name Class Date




15 ( x 1 2)6 16 (2 x 1 3)5











three numbers








Births

(millions)Year

416

389

406414

1990

1995

20002005

SOURCE wwwcdcgov


P (2) 5 38


x 6 1 12 x 5 1 60 x 4 1 160 x 3

1 240 x 2 1 192 x 1 64

32 x 5 1 240 x 4 1 720 x 3 1 1080 x 2 1 810 x 1 243

y 5 23( x 2 4)3

y 5 2( x 1 2)3 2 6

2 4 7

V 5 8 x 3 1 48 x 2 1 96 x 1 64 in3



Name Class Date



Do you know HOW










contingency table







Skin irritation

Used new sunscreen



Totals

2 40

3 40

5

38

37

75 80

13

79

59

16



31 188 asymp 485

8568 ways



Name Class Date







on each trial

10 x 5 4 n 5 9 p 5 03 11 x 5 7 n 5 12 p 5 06 12 x 5 2 n 5 7 p 5 05



Do you UNDERSTAND


graduates
















N 017 N 023 N 016

about 68

4 6 8 10 12 14 16 18

005 or 5


050 or 50





Name Class Date

Do you know HOW


1 c 6 3

21 24d 1 c1 27

5 22d 2 c 9 4

23 6d 2 c 4 1

22 6d 3 pound 2 3

24 1

8 26

sect 1 pound 5 26

25 7

2 3

sect


4 c3 x

6 7 d 1 c21 24

y z d 5 c2 23

9 5 d 5 c2 x 1 4 10

24 y 25 d 5 c10 2z

16 25 d

Find each product

6 c 4 7

21 2d c25 4

3 26d 7 c5 23

0 1d c 2 4

21 5d 8 f1 3g c4 25 1

2 3 6d

Do you UNDERSTAND



2 c4 1

2 23d 1 2 X 5 c 22 22

22 4d


c7 24

4 26d

c1 226

11 216 d




23 5d

x 5 1 y 5 3 z 5 22 x 5 3 y 5 24 z 5 5

c 5 3

21 0d

c13 5

21 5 d

pound 7 23

29 8

10 23

sect

f10 4 19g





Name Class Date

Do you know HOW


10 c25 2

3 7d c1 23

3 8d 11 c2 5

1 3d c 3 25

21 2d 12 c4 3

2 2d pound 1 21

12

21 2sect


13 c5 1

23 8 d X 5 c54

2 d 14 c23 1

5 4 d X 5 c25 217

14 51 d 15 c4 23

1 28 d X 5 c14

211 d


16 e4 x 1 3 y 5 7

22 x 1 4 y 5 24 17 e x 1 20 5 23 y

5 x 5 4 2 2 y 18 bull 4 y 1 2z 5 2

5z 5 20 1 3 x

2 x 1 3z 5 7 2 8 y

Do you UNDERSTAND







no yes yes

X 5 c10

4d

x5

2

2 y5

5

X 5 c2 7

1 4d

x5

4 y5

2

8

X 5 c52d

x 5 5 y 5 23 z 5 7






Name Class Date


of f (x)5 x2




function f (x)5 |x|

13 y 5 | x 2 2| 14 y 5 2| x |


15 y u 3 x u 1 1 16 y 2 3 $ u x 1 5 u

Do you UNDERSTAND












PriceSize (ft2)

35

48

80

120

192

200

320

$139

$199

$319

$479

$769

$799

$1279

y

x 4

8

12

14

100 200 300

g( x ) 5 ( x 1 1)2 2 4


g( x ) 5 ( x 2 3)2 1 7



d about $1002

O

2

4

y

x 22 4

O

2

4

y

x

224 4

O x

y

2 2

2

4

O

x

y

246

2

4

6

k 5 3 y 5 30




Name Class Date




Do you know HOW


1 e2 x 2 y 5 7

6 x 2 3 y 5 14 2 e5 x 1 2 y 5 12

26 x 2 2 y 5 214 3 e 5 x 1 2 y 5 28

4 x 1 3 y 5 2


4 e y $ 22 x 1 3 y x

5 e y 2 1 3 x y 1 1 x

6 e y 2 x 1 4 y 2 x 1 1




you have



minimum value

8 bull y 2

x 1

74 y x 1 8

x $ 0 y $ 0


y

x

22

2

4

4 4

y

x

2

2

4

4 42

y

x

2

2

4

6

42

y

x

4

6

4 6 A(0 0)

B(0 2)

D(7 0)

C (4 3)

2



max P at (7 0) 5 35



Name Class Date





C2 21 2

3 2 21

21 2

3 2

dagger

12

0

11S (24 1 3) (1 24 3) (3 24 1) (1 3 24)

Do you UNDERSTAND






money


mechanic







C



Mechanic B

$360

B1 1

8 5 ` 11




Name Class Date



Do you know HOW



1 y 5 3( x 2 2)2 1 6

2 y 52( x 1 4)2 23

3 y 5 2 x 2 2 2 x 1 3 4 y 5 3 x 2 2 4 x 1 1


5 4c 2 1 4c 1 1 6 g 2 2 49


two decimal places

7 5 x 2 1 9 x 1 4 5 0 8 23 x 2 2 2 x 1 7 5 0

Complete the square

9 x 2 1 14 x 1 j 10 x 2 2 18 x 1 j


solutions

11 5 x 2 1 x 1 6 5 0 12 23 x 2 2 4 x 1 1 5 0


13 7 2 2i 14 8i


(2c 1 1)2 (g 1 7)(g27)

49 81



O

x

y

4

8

4

10

4

x 5 12 and x 5 219 x 5 2 1 and x 52 08


53 8

O

imaginary axis

real axis

4i

8i

48 4

4i

7 2i

8i

O

imaginary axis

real axis

4i

8i

48 4

4i

8i

O x

y

4

6

224

2



Name Class Date




15 y 5 2 x 2 2 2 x 1 5 16 y 5 3 x 2 1 2 x 1 4


17 y x 2 18 y x 2 1 3 x

y 2 x 2 1 4 y x 2 2 2

Do you UNDERSTAND





or the way down








x y

1

2

7

7

85

1


12

132i

12

232i

213

1 11

3 i 2

13

2 11

3 i

y 5 205 x 2 1 3 x 1 45


t 5 61 s


O

x

y

2 42

2

2

4

6

4 O

x

y

2 42

22

2

4

6

4

d d



Name Class Date



Do you know HOW


number of terms

1 6 x 5 2 2 x 2 1 1 2 2 x 5 2 x 2 2 3 x 1 6 x 3 2 5 x 1 1


3 y 5 3 x 1 2 x 2 2 4 4 y 5 4 x 3 2 7 x 1 2


5 y 5 ( x 1 2)( x 2 3)2 6 y 5 x 3 1 4 x 2



7 5 x 3 2 2 x 2 2 1 5 0 8 2 x 4 1 4 x 2 5 4


9 ( x 2 1 6 x 1 24) 4 ( x 1 4) 10 ( x 3 1 2 x 2 1 4 x 1 10) 4 ( x 1 1)


given roots

11 21 2 6 12 2i 2


13 y 5 x 3 1 2 x 2 1 4 x 1 8 14 y 5 x 4 2 14 x 2 1 45



up and up


6 x 3 1 x 2 2 8 x 1 1 cubic 4 terms

down and up


x 1 2 R 16 x 2 1 x 1 3 R 7

075 2086 086

P ( x ) 5 x 3 2 7 x 2 1 4 x 1 12

22 22i 2i

P ( x ) 5 x 4 2 x 2 2 2

23 3 2 5 5



Name Class Date




15 ( x 1 2)6 16 (2 x 1 3)5











three numbers








Births

(millions)Year

416

389

406414

1990

1995

20002005

SOURCE wwwcdcgov


P (2) 5 38


x 6 1 12 x 5 1 60 x 4 1 160 x 3

1 240 x 2 1 192 x 1 64

32 x 5 1 240 x 4 1 720 x 3 1 1080 x 2 1 810 x 1 243

y 5 23( x 2 4)3

y 5 2( x 1 2)3 2 6

2 4 7

V 5 8 x 3 1 48 x 2 1 96 x 1 64 in3



Name Class Date



Do you know HOW










contingency table







Skin irritation

Used new sunscreen



Totals

2 40

3 40

5

38

37

75 80

13

79

59

16



31 188 asymp 485

8568 ways



Name Class Date







on each trial

10 x 5 4 n 5 9 p 5 03 11 x 5 7 n 5 12 p 5 06 12 x 5 2 n 5 7 p 5 05



Do you UNDERSTAND


graduates
















N 017 N 023 N 016

about 68

4 6 8 10 12 14 16 18

005 or 5


050 or 50





Name Class Date

Do you know HOW


1 c 6 3

21 24d 1 c1 27

5 22d 2 c 9 4

23 6d 2 c 4 1

22 6d 3 pound 2 3

24 1

8 26

sect 1 pound 5 26

25 7

2 3

sect


4 c3 x

6 7 d 1 c21 24

y z d 5 c2 23

9 5 d 5 c2 x 1 4 10

24 y 25 d 5 c10 2z

16 25 d

Find each product

6 c 4 7

21 2d c25 4

3 26d 7 c5 23

0 1d c 2 4

21 5d 8 f1 3g c4 25 1

2 3 6d

Do you UNDERSTAND



2 c4 1

2 23d 1 2 X 5 c 22 22

22 4d


c7 24

4 26d

c1 226

11 216 d




23 5d

x 5 1 y 5 3 z 5 22 x 5 3 y 5 24 z 5 5

c 5 3

21 0d

c13 5

21 5 d

pound 7 23

29 8

10 23

sect

f10 4 19g





Name Class Date

Do you know HOW


10 c25 2

3 7d c1 23

3 8d 11 c2 5

1 3d c 3 25

21 2d 12 c4 3

2 2d pound 1 21

12

21 2sect


13 c5 1

23 8 d X 5 c54

2 d 14 c23 1

5 4 d X 5 c25 217

14 51 d 15 c4 23

1 28 d X 5 c14

211 d


16 e4 x 1 3 y 5 7

22 x 1 4 y 5 24 17 e x 1 20 5 23 y

5 x 5 4 2 2 y 18 bull 4 y 1 2z 5 2

5z 5 20 1 3 x

2 x 1 3z 5 7 2 8 y

Do you UNDERSTAND







no yes yes

X 5 c10

4d

x5

2

2 y5

5

X 5 c2 7

1 4d

x5

4 y5

2

8

X 5 c52d

x 5 5 y 5 23 z 5 7




Name Class Date




Do you know HOW


1 e2 x 2 y 5 7

6 x 2 3 y 5 14 2 e5 x 1 2 y 5 12

26 x 2 2 y 5 214 3 e 5 x 1 2 y 5 28

4 x 1 3 y 5 2


4 e y $ 22 x 1 3 y x

5 e y 2 1 3 x y 1 1 x

6 e y 2 x 1 4 y 2 x 1 1




you have



minimum value

8 bull y 2

x 1

74 y x 1 8

x $ 0 y $ 0


y

x

22

2

4

4 4

y

x

2

2

4

4 42

y

x

2

2

4

6

42

y

x

4

6

4 6 A(0 0)

B(0 2)

D(7 0)

C (4 3)

2



max P at (7 0) 5 35



Name Class Date





C2 21 2

3 2 21

21 2

3 2

dagger

12

0

11S (24 1 3) (1 24 3) (3 24 1) (1 3 24)

Do you UNDERSTAND






money


mechanic







C



Mechanic B

$360

B1 1

8 5 ` 11




Name Class Date



Do you know HOW



1 y 5 3( x 2 2)2 1 6

2 y 52( x 1 4)2 23

3 y 5 2 x 2 2 2 x 1 3 4 y 5 3 x 2 2 4 x 1 1


5 4c 2 1 4c 1 1 6 g 2 2 49


two decimal places

7 5 x 2 1 9 x 1 4 5 0 8 23 x 2 2 2 x 1 7 5 0

Complete the square

9 x 2 1 14 x 1 j 10 x 2 2 18 x 1 j


solutions

11 5 x 2 1 x 1 6 5 0 12 23 x 2 2 4 x 1 1 5 0


13 7 2 2i 14 8i


(2c 1 1)2 (g 1 7)(g27)

49 81



O

x

y

4

8

4

10

4

x 5 12 and x 5 219 x 5 2 1 and x 52 08


53 8

O

imaginary axis

real axis

4i

8i

48 4

4i

7 2i

8i

O

imaginary axis

real axis

4i

8i

48 4

4i

8i

O x

y

4

6

224

2



Name Class Date




15 y 5 2 x 2 2 2 x 1 5 16 y 5 3 x 2 1 2 x 1 4


17 y x 2 18 y x 2 1 3 x

y 2 x 2 1 4 y x 2 2 2

Do you UNDERSTAND





or the way down








x y

1

2

7

7

85

1


12

132i

12

232i

213

1 11

3 i 2

13

2 11

3 i

y 5 205 x 2 1 3 x 1 45


t 5 61 s


O

x

y

2 42

2

2

4

6

4 O

x

y

2 42

22

2

4

6

4

d d



Name Class Date



Do you know HOW


number of terms

1 6 x 5 2 2 x 2 1 1 2 2 x 5 2 x 2 2 3 x 1 6 x 3 2 5 x 1 1


3 y 5 3 x 1 2 x 2 2 4 4 y 5 4 x 3 2 7 x 1 2


5 y 5 ( x 1 2)( x 2 3)2 6 y 5 x 3 1 4 x 2



7 5 x 3 2 2 x 2 2 1 5 0 8 2 x 4 1 4 x 2 5 4


9 ( x 2 1 6 x 1 24) 4 ( x 1 4) 10 ( x 3 1 2 x 2 1 4 x 1 10) 4 ( x 1 1)


given roots

11 21 2 6 12 2i 2


13 y 5 x 3 1 2 x 2 1 4 x 1 8 14 y 5 x 4 2 14 x 2 1 45



up and up


6 x 3 1 x 2 2 8 x 1 1 cubic 4 terms

down and up


x 1 2 R 16 x 2 1 x 1 3 R 7

075 2086 086

P ( x ) 5 x 3 2 7 x 2 1 4 x 1 12

22 22i 2i

P ( x ) 5 x 4 2 x 2 2 2

23 3 2 5 5



Name Class Date




15 ( x 1 2)6 16 (2 x 1 3)5











three numbers








Births

(millions)Year

416

389

406414

1990

1995

20002005

SOURCE wwwcdcgov


P (2) 5 38


x 6 1 12 x 5 1 60 x 4 1 160 x 3

1 240 x 2 1 192 x 1 64

32 x 5 1 240 x 4 1 720 x 3 1 1080 x 2 1 810 x 1 243

y 5 23( x 2 4)3

y 5 2( x 1 2)3 2 6

2 4 7

V 5 8 x 3 1 48 x 2 1 96 x 1 64 in3



Name Class Date



Do you know HOW










contingency table







Skin irritation

Used new sunscreen



Totals

2 40

3 40

5

38

37

75 80

13

79

59

16



31 188 asymp 485

8568 ways



Name Class Date







on each trial

10 x 5 4 n 5 9 p 5 03 11 x 5 7 n 5 12 p 5 06 12 x 5 2 n 5 7 p 5 05



Do you UNDERSTAND


graduates
















N 017 N 023 N 016

about 68

4 6 8 10 12 14 16 18

005 or 5


050 or 50





Name Class Date

Do you know HOW


1 c 6 3

21 24d 1 c1 27

5 22d 2 c 9 4

23 6d 2 c 4 1

22 6d 3 pound 2 3

24 1

8 26

sect 1 pound 5 26

25 7

2 3

sect


4 c3 x

6 7 d 1 c21 24

y z d 5 c2 23

9 5 d 5 c2 x 1 4 10

24 y 25 d 5 c10 2z

16 25 d

Find each product

6 c 4 7

21 2d c25 4

3 26d 7 c5 23

0 1d c 2 4

21 5d 8 f1 3g c4 25 1

2 3 6d

Do you UNDERSTAND



2 c4 1

2 23d 1 2 X 5 c 22 22

22 4d


c7 24

4 26d

c1 226

11 216 d




23 5d

x 5 1 y 5 3 z 5 22 x 5 3 y 5 24 z 5 5

c 5 3

21 0d

c13 5

21 5 d

pound 7 23

29 8

10 23

sect

f10 4 19g





Name Class Date

Do you know HOW


10 c25 2

3 7d c1 23

3 8d 11 c2 5

1 3d c 3 25

21 2d 12 c4 3

2 2d pound 1 21

12

21 2sect


13 c5 1

23 8 d X 5 c54

2 d 14 c23 1

5 4 d X 5 c25 217

14 51 d 15 c4 23

1 28 d X 5 c14

211 d


16 e4 x 1 3 y 5 7

22 x 1 4 y 5 24 17 e x 1 20 5 23 y

5 x 5 4 2 2 y 18 bull 4 y 1 2z 5 2

5z 5 20 1 3 x

2 x 1 3z 5 7 2 8 y

Do you UNDERSTAND







no yes yes

X 5 c10

4d

x5

2

2 y5

5

X 5 c2 7

1 4d

x5

4 y5

2

8

X 5 c52d

x 5 5 y 5 23 z 5 7




Name Class Date





C2 21 2

3 2 21

21 2

3 2

dagger

12

0

11S (24 1 3) (1 24 3) (3 24 1) (1 3 24)

Do you UNDERSTAND






money


mechanic







C



Mechanic B

$360

B1 1

8 5 ` 11




Name Class Date



Do you know HOW



1 y 5 3( x 2 2)2 1 6

2 y 52( x 1 4)2 23

3 y 5 2 x 2 2 2 x 1 3 4 y 5 3 x 2 2 4 x 1 1


5 4c 2 1 4c 1 1 6 g 2 2 49


two decimal places

7 5 x 2 1 9 x 1 4 5 0 8 23 x 2 2 2 x 1 7 5 0

Complete the square

9 x 2 1 14 x 1 j 10 x 2 2 18 x 1 j


solutions

11 5 x 2 1 x 1 6 5 0 12 23 x 2 2 4 x 1 1 5 0


13 7 2 2i 14 8i


(2c 1 1)2 (g 1 7)(g27)

49 81



O

x

y

4

8

4

10

4

x 5 12 and x 5 219 x 5 2 1 and x 52 08


53 8

O

imaginary axis

real axis

4i

8i

48 4

4i

7 2i

8i

O

imaginary axis

real axis

4i

8i

48 4

4i

8i

O x

y

4

6

224

2



Name Class Date




15 y 5 2 x 2 2 2 x 1 5 16 y 5 3 x 2 1 2 x 1 4


17 y x 2 18 y x 2 1 3 x

y 2 x 2 1 4 y x 2 2 2

Do you UNDERSTAND





or the way down








x y

1

2

7

7

85

1


12

132i

12

232i

213

1 11

3 i 2

13

2 11

3 i

y 5 205 x 2 1 3 x 1 45


t 5 61 s


O

x

y

2 42

2

2

4

6

4 O

x

y

2 42

22

2

4

6

4

d d



Name Class Date



Do you know HOW


number of terms

1 6 x 5 2 2 x 2 1 1 2 2 x 5 2 x 2 2 3 x 1 6 x 3 2 5 x 1 1


3 y 5 3 x 1 2 x 2 2 4 4 y 5 4 x 3 2 7 x 1 2


5 y 5 ( x 1 2)( x 2 3)2 6 y 5 x 3 1 4 x 2



7 5 x 3 2 2 x 2 2 1 5 0 8 2 x 4 1 4 x 2 5 4


9 ( x 2 1 6 x 1 24) 4 ( x 1 4) 10 ( x 3 1 2 x 2 1 4 x 1 10) 4 ( x 1 1)


given roots

11 21 2 6 12 2i 2


13 y 5 x 3 1 2 x 2 1 4 x 1 8 14 y 5 x 4 2 14 x 2 1 45



up and up


6 x 3 1 x 2 2 8 x 1 1 cubic 4 terms

down and up


x 1 2 R 16 x 2 1 x 1 3 R 7

075 2086 086

P ( x ) 5 x 3 2 7 x 2 1 4 x 1 12

22 22i 2i

P ( x ) 5 x 4 2 x 2 2 2

23 3 2 5 5



Name Class Date




15 ( x 1 2)6 16 (2 x 1 3)5











three numbers








Births

(millions)Year

416

389

406414

1990

1995

20002005

SOURCE wwwcdcgov


P (2) 5 38


x 6 1 12 x 5 1 60 x 4 1 160 x 3

1 240 x 2 1 192 x 1 64

32 x 5 1 240 x 4 1 720 x 3 1 1080 x 2 1 810 x 1 243

y 5 23( x 2 4)3

y 5 2( x 1 2)3 2 6

2 4 7

V 5 8 x 3 1 48 x 2 1 96 x 1 64 in3



Name Class Date



Do you know HOW










contingency table







Skin irritation

Used new sunscreen



Totals

2 40

3 40

5

38

37

75 80

13

79

59

16



31 188 asymp 485

8568 ways



Name Class Date







on each trial

10 x 5 4 n 5 9 p 5 03 11 x 5 7 n 5 12 p 5 06 12 x 5 2 n 5 7 p 5 05



Do you UNDERSTAND


graduates
















N 017 N 023 N 016

about 68

4 6 8 10 12 14 16 18

005 or 5


050 or 50





Name Class Date

Do you know HOW


1 c 6 3

21 24d 1 c1 27

5 22d 2 c 9 4

23 6d 2 c 4 1

22 6d 3 pound 2 3

24 1

8 26

sect 1 pound 5 26

25 7

2 3

sect


4 c3 x

6 7 d 1 c21 24

y z d 5 c2 23

9 5 d 5 c2 x 1 4 10

24 y 25 d 5 c10 2z

16 25 d

Find each product

6 c 4 7

21 2d c25 4

3 26d 7 c5 23

0 1d c 2 4

21 5d 8 f1 3g c4 25 1

2 3 6d

Do you UNDERSTAND



2 c4 1

2 23d 1 2 X 5 c 22 22

22 4d


c7 24

4 26d

c1 226

11 216 d




23 5d

x 5 1 y 5 3 z 5 22 x 5 3 y 5 24 z 5 5

c 5 3

21 0d

c13 5

21 5 d

pound 7 23

29 8

10 23

sect

f10 4 19g





Name Class Date

Do you know HOW


10 c25 2

3 7d c1 23

3 8d 11 c2 5

1 3d c 3 25

21 2d 12 c4 3

2 2d pound 1 21

12

21 2sect


13 c5 1

23 8 d X 5 c54

2 d 14 c23 1

5 4 d X 5 c25 217

14 51 d 15 c4 23

1 28 d X 5 c14

211 d


16 e4 x 1 3 y 5 7

22 x 1 4 y 5 24 17 e x 1 20 5 23 y

5 x 5 4 2 2 y 18 bull 4 y 1 2z 5 2

5z 5 20 1 3 x

2 x 1 3z 5 7 2 8 y

Do you UNDERSTAND







no yes yes

X 5 c10

4d

x5

2

2 y5

5

X 5 c2 7

1 4d

x5

4 y5

2

8

X 5 c52d

x 5 5 y 5 23 z 5 7




Name Class Date



Do you know HOW



1 y 5 3( x 2 2)2 1 6

2 y 52( x 1 4)2 23

3 y 5 2 x 2 2 2 x 1 3 4 y 5 3 x 2 2 4 x 1 1


5 4c 2 1 4c 1 1 6 g 2 2 49


two decimal places

7 5 x 2 1 9 x 1 4 5 0 8 23 x 2 2 2 x 1 7 5 0

Complete the square

9 x 2 1 14 x 1 j 10 x 2 2 18 x 1 j


solutions

11 5 x 2 1 x 1 6 5 0 12 23 x 2 2 4 x 1 1 5 0


13 7 2 2i 14 8i


(2c 1 1)2 (g 1 7)(g27)

49 81



O

x

y

4

8

4

10

4

x 5 12 and x 5 219 x 5 2 1 and x 52 08


53 8

O

imaginary axis

real axis

4i

8i

48 4

4i

7 2i

8i

O

imaginary axis

real axis

4i

8i

48 4

4i

8i

O x

y

4

6

224

2



Name Class Date




15 y 5 2 x 2 2 2 x 1 5 16 y 5 3 x 2 1 2 x 1 4


17 y x 2 18 y x 2 1 3 x

y 2 x 2 1 4 y x 2 2 2

Do you UNDERSTAND





or the way down








x y

1

2

7

7

85

1


12

132i

12

232i

213

1 11

3 i 2

13

2 11

3 i

y 5 205 x 2 1 3 x 1 45


t 5 61 s


O

x

y

2 42

2

2

4

6

4 O

x

y

2 42

22

2

4

6

4

d d



Name Class Date



Do you know HOW


number of terms

1 6 x 5 2 2 x 2 1 1 2 2 x 5 2 x 2 2 3 x 1 6 x 3 2 5 x 1 1


3 y 5 3 x 1 2 x 2 2 4 4 y 5 4 x 3 2 7 x 1 2


5 y 5 ( x 1 2)( x 2 3)2 6 y 5 x 3 1 4 x 2



7 5 x 3 2 2 x 2 2 1 5 0 8 2 x 4 1 4 x 2 5 4


9 ( x 2 1 6 x 1 24) 4 ( x 1 4) 10 ( x 3 1 2 x 2 1 4 x 1 10) 4 ( x 1 1)


given roots

11 21 2 6 12 2i 2


13 y 5 x 3 1 2 x 2 1 4 x 1 8 14 y 5 x 4 2 14 x 2 1 45



up and up


6 x 3 1 x 2 2 8 x 1 1 cubic 4 terms

down and up


x 1 2 R 16 x 2 1 x 1 3 R 7

075 2086 086

P ( x ) 5 x 3 2 7 x 2 1 4 x 1 12

22 22i 2i

P ( x ) 5 x 4 2 x 2 2 2

23 3 2 5 5



Name Class Date




15 ( x 1 2)6 16 (2 x 1 3)5











three numbers








Births

(millions)Year

416

389

406414

1990

1995

20002005

SOURCE wwwcdcgov


P (2) 5 38


x 6 1 12 x 5 1 60 x 4 1 160 x 3

1 240 x 2 1 192 x 1 64

32 x 5 1 240 x 4 1 720 x 3 1 1080 x 2 1 810 x 1 243

y 5 23( x 2 4)3

y 5 2( x 1 2)3 2 6

2 4 7

V 5 8 x 3 1 48 x 2 1 96 x 1 64 in3



Name Class Date



Do you know HOW










contingency table







Skin irritation

Used new sunscreen



Totals

2 40

3 40

5

38

37

75 80

13

79

59

16



31 188 asymp 485

8568 ways



Name Class Date







on each trial

10 x 5 4 n 5 9 p 5 03 11 x 5 7 n 5 12 p 5 06 12 x 5 2 n 5 7 p 5 05



Do you UNDERSTAND


graduates
















N 017 N 023 N 016

about 68

4 6 8 10 12 14 16 18

005 or 5


050 or 50





Name Class Date

Do you know HOW


1 c 6 3

21 24d 1 c1 27

5 22d 2 c 9 4

23 6d 2 c 4 1

22 6d 3 pound 2 3

24 1

8 26

sect 1 pound 5 26

25 7

2 3

sect


4 c3 x

6 7 d 1 c21 24

y z d 5 c2 23

9 5 d 5 c2 x 1 4 10

24 y 25 d 5 c10 2z

16 25 d

Find each product

6 c 4 7

21 2d c25 4

3 26d 7 c5 23

0 1d c 2 4

21 5d 8 f1 3g c4 25 1

2 3 6d

Do you UNDERSTAND



2 c4 1

2 23d 1 2 X 5 c 22 22

22 4d


c7 24

4 26d

c1 226

11 216 d




23 5d

x 5 1 y 5 3 z 5 22 x 5 3 y 5 24 z 5 5

c 5 3

21 0d

c13 5

21 5 d

pound 7 23

29 8

10 23

sect

f10 4 19g





Name Class Date

Do you know HOW


10 c25 2

3 7d c1 23

3 8d 11 c2 5

1 3d c 3 25

21 2d 12 c4 3

2 2d pound 1 21

12

21 2sect


13 c5 1

23 8 d X 5 c54

2 d 14 c23 1

5 4 d X 5 c25 217

14 51 d 15 c4 23

1 28 d X 5 c14

211 d


16 e4 x 1 3 y 5 7

22 x 1 4 y 5 24 17 e x 1 20 5 23 y

5 x 5 4 2 2 y 18 bull 4 y 1 2z 5 2

5z 5 20 1 3 x

2 x 1 3z 5 7 2 8 y

Do you UNDERSTAND







no yes yes

X 5 c10

4d

x5

2

2 y5

5

X 5 c2 7

1 4d

x5

4 y5

2

8

X 5 c52d

x 5 5 y 5 23 z 5 7




Name Class Date




15 y 5 2 x 2 2 2 x 1 5 16 y 5 3 x 2 1 2 x 1 4


17 y x 2 18 y x 2 1 3 x

y 2 x 2 1 4 y x 2 2 2

Do you UNDERSTAND





or the way down








x y

1

2

7

7

85

1


12

132i

12

232i

213

1 11

3 i 2

13

2 11

3 i

y 5 205 x 2 1 3 x 1 45


t 5 61 s


O

x

y

2 42

2

2

4

6

4 O

x

y

2 42

22

2

4

6

4

d d



Name Class Date



Do you know HOW


number of terms

1 6 x 5 2 2 x 2 1 1 2 2 x 5 2 x 2 2 3 x 1 6 x 3 2 5 x 1 1


3 y 5 3 x 1 2 x 2 2 4 4 y 5 4 x 3 2 7 x 1 2


5 y 5 ( x 1 2)( x 2 3)2 6 y 5 x 3 1 4 x 2



7 5 x 3 2 2 x 2 2 1 5 0 8 2 x 4 1 4 x 2 5 4


9 ( x 2 1 6 x 1 24) 4 ( x 1 4) 10 ( x 3 1 2 x 2 1 4 x 1 10) 4 ( x 1 1)


given roots

11 21 2 6 12 2i 2


13 y 5 x 3 1 2 x 2 1 4 x 1 8 14 y 5 x 4 2 14 x 2 1 45



up and up


6 x 3 1 x 2 2 8 x 1 1 cubic 4 terms

down and up


x 1 2 R 16 x 2 1 x 1 3 R 7

075 2086 086

P ( x ) 5 x 3 2 7 x 2 1 4 x 1 12

22 22i 2i

P ( x ) 5 x 4 2 x 2 2 2

23 3 2 5 5



Name Class Date




15 ( x 1 2)6 16 (2 x 1 3)5











three numbers








Births

(millions)Year

416

389

406414

1990

1995

20002005

SOURCE wwwcdcgov


P (2) 5 38


x 6 1 12 x 5 1 60 x 4 1 160 x 3

1 240 x 2 1 192 x 1 64

32 x 5 1 240 x 4 1 720 x 3 1 1080 x 2 1 810 x 1 243

y 5 23( x 2 4)3

y 5 2( x 1 2)3 2 6

2 4 7

V 5 8 x 3 1 48 x 2 1 96 x 1 64 in3



Name Class Date



Do you know HOW










contingency table







Skin irritation

Used new sunscreen



Totals

2 40

3 40

5

38

37

75 80

13

79

59

16



31 188 asymp 485

8568 ways



Name Class Date







on each trial

10 x 5 4 n 5 9 p 5 03 11 x 5 7 n 5 12 p 5 06 12 x 5 2 n 5 7 p 5 05



Do you UNDERSTAND


graduates
















N 017 N 023 N 016

about 68

4 6 8 10 12 14 16 18

005 or 5


050 or 50





Name Class Date

Do you know HOW


1 c 6 3

21 24d 1 c1 27

5 22d 2 c 9 4

23 6d 2 c 4 1

22 6d 3 pound 2 3

24 1

8 26

sect 1 pound 5 26

25 7

2 3

sect


4 c3 x

6 7 d 1 c21 24

y z d 5 c2 23

9 5 d 5 c2 x 1 4 10

24 y 25 d 5 c10 2z

16 25 d

Find each product

6 c 4 7

21 2d c25 4

3 26d 7 c5 23

0 1d c 2 4

21 5d 8 f1 3g c4 25 1

2 3 6d

Do you UNDERSTAND



2 c4 1

2 23d 1 2 X 5 c 22 22

22 4d


c7 24

4 26d

c1 226

11 216 d




23 5d

x 5 1 y 5 3 z 5 22 x 5 3 y 5 24 z 5 5

c 5 3

21 0d

c13 5

21 5 d

pound 7 23

29 8

10 23

sect

f10 4 19g





Name Class Date

Do you know HOW


10 c25 2

3 7d c1 23

3 8d 11 c2 5

1 3d c 3 25

21 2d 12 c4 3

2 2d pound 1 21

12

21 2sect


13 c5 1

23 8 d X 5 c54

2 d 14 c23 1

5 4 d X 5 c25 217

14 51 d 15 c4 23

1 28 d X 5 c14

211 d


16 e4 x 1 3 y 5 7

22 x 1 4 y 5 24 17 e x 1 20 5 23 y

5 x 5 4 2 2 y 18 bull 4 y 1 2z 5 2

5z 5 20 1 3 x

2 x 1 3z 5 7 2 8 y

Do you UNDERSTAND







no yes yes

X 5 c10

4d

x5

2

2 y5

5

X 5 c2 7

1 4d

x5

4 y5

2

8

X 5 c52d

x 5 5 y 5 23 z 5 7




Name Class Date



Do you know HOW


number of terms

1 6 x 5 2 2 x 2 1 1 2 2 x 5 2 x 2 2 3 x 1 6 x 3 2 5 x 1 1


3 y 5 3 x 1 2 x 2 2 4 4 y 5 4 x 3 2 7 x 1 2


5 y 5 ( x 1 2)( x 2 3)2 6 y 5 x 3 1 4 x 2



7 5 x 3 2 2 x 2 2 1 5 0 8 2 x 4 1 4 x 2 5 4


9 ( x 2 1 6 x 1 24) 4 ( x 1 4) 10 ( x 3 1 2 x 2 1 4 x 1 10) 4 ( x 1 1)


given roots

11 21 2 6 12 2i 2


13 y 5 x 3 1 2 x 2 1 4 x 1 8 14 y 5 x 4 2 14 x 2 1 45



up and up


6 x 3 1 x 2 2 8 x 1 1 cubic 4 terms

down and up


x 1 2 R 16 x 2 1 x 1 3 R 7

075 2086 086

P ( x ) 5 x 3 2 7 x 2 1 4 x 1 12

22 22i 2i

P ( x ) 5 x 4 2 x 2 2 2

23 3 2 5 5



Name Class Date




15 ( x 1 2)6 16 (2 x 1 3)5











three numbers








Births

(millions)Year

416

389

406414

1990

1995

20002005

SOURCE wwwcdcgov


P (2) 5 38


x 6 1 12 x 5 1 60 x 4 1 160 x 3

1 240 x 2 1 192 x 1 64

32 x 5 1 240 x 4 1 720 x 3 1 1080 x 2 1 810 x 1 243

y 5 23( x 2 4)3

y 5 2( x 1 2)3 2 6

2 4 7

V 5 8 x 3 1 48 x 2 1 96 x 1 64 in3



Name Class Date



Do you know HOW










contingency table







Skin irritation

Used new sunscreen



Totals

2 40

3 40

5

38

37

75 80

13

79

59

16



31 188 asymp 485

8568 ways



Name Class Date







on each trial

10 x 5 4 n 5 9 p 5 03 11 x 5 7 n 5 12 p 5 06 12 x 5 2 n 5 7 p 5 05



Do you UNDERSTAND


graduates
















N 017 N 023 N 016

about 68

4 6 8 10 12 14 16 18

005 or 5


050 or 50





Name Class Date

Do you know HOW


1 c 6 3

21 24d 1 c1 27

5 22d 2 c 9 4

23 6d 2 c 4 1

22 6d 3 pound 2 3

24 1

8 26

sect 1 pound 5 26

25 7

2 3

sect


4 c3 x

6 7 d 1 c21 24

y z d 5 c2 23

9 5 d 5 c2 x 1 4 10

24 y 25 d 5 c10 2z

16 25 d

Find each product

6 c 4 7

21 2d c25 4

3 26d 7 c5 23

0 1d c 2 4

21 5d 8 f1 3g c4 25 1

2 3 6d

Do you UNDERSTAND



2 c4 1

2 23d 1 2 X 5 c 22 22

22 4d


c7 24

4 26d

c1 226

11 216 d




23 5d

x 5 1 y 5 3 z 5 22 x 5 3 y 5 24 z 5 5

c 5 3

21 0d

c13 5

21 5 d

pound 7 23

29 8

10 23

sect

f10 4 19g





Name Class Date

Do you know HOW


10 c25 2

3 7d c1 23

3 8d 11 c2 5

1 3d c 3 25

21 2d 12 c4 3

2 2d pound 1 21

12

21 2sect


13 c5 1

23 8 d X 5 c54

2 d 14 c23 1

5 4 d X 5 c25 217

14 51 d 15 c4 23

1 28 d X 5 c14

211 d


16 e4 x 1 3 y 5 7

22 x 1 4 y 5 24 17 e x 1 20 5 23 y

5 x 5 4 2 2 y 18 bull 4 y 1 2z 5 2

5z 5 20 1 3 x

2 x 1 3z 5 7 2 8 y

Do you UNDERSTAND







no yes yes

X 5 c10

4d

x5

2

2 y5

5

X 5 c2 7

1 4d

x5

4 y5

2

8

X 5 c52d

x 5 5 y 5 23 z 5 7




Name Class Date




15 ( x 1 2)6 16 (2 x 1 3)5











three numbers








Births

(millions)Year

416

389

406414

1990

1995

20002005

SOURCE wwwcdcgov


P (2) 5 38


x 6 1 12 x 5 1 60 x 4 1 160 x 3

1 240 x 2 1 192 x 1 64

32 x 5 1 240 x 4 1 720 x 3 1 1080 x 2 1 810 x 1 243

y 5 23( x 2 4)3

y 5 2( x 1 2)3 2 6

2 4 7

V 5 8 x 3 1 48 x 2 1 96 x 1 64 in3



Name Class Date



Do you know HOW










contingency table







Skin irritation

Used new sunscreen



Totals

2 40

3 40

5

38

37

75 80

13

79

59

16



31 188 asymp 485

8568 ways



Name Class Date







on each trial

10 x 5 4 n 5 9 p 5 03 11 x 5 7 n 5 12 p 5 06 12 x 5 2 n 5 7 p 5 05



Do you UNDERSTAND


graduates
















N 017 N 023 N 016

about 68

4 6 8 10 12 14 16 18

005 or 5


050 or 50





Name Class Date

Do you know HOW


1 c 6 3

21 24d 1 c1 27

5 22d 2 c 9 4

23 6d 2 c 4 1

22 6d 3 pound 2 3

24 1

8 26

sect 1 pound 5 26

25 7

2 3

sect


4 c3 x

6 7 d 1 c21 24

y z d 5 c2 23

9 5 d 5 c2 x 1 4 10

24 y 25 d 5 c10 2z

16 25 d

Find each product

6 c 4 7

21 2d c25 4

3 26d 7 c5 23

0 1d c 2 4

21 5d 8 f1 3g c4 25 1

2 3 6d

Do you UNDERSTAND



2 c4 1

2 23d 1 2 X 5 c 22 22

22 4d


c7 24

4 26d

c1 226

11 216 d




23 5d

x 5 1 y 5 3 z 5 22 x 5 3 y 5 24 z 5 5

c 5 3

21 0d

c13 5

21 5 d

pound 7 23

29 8

10 23

sect

f10 4 19g





Name Class Date

Do you know HOW


10 c25 2

3 7d c1 23

3 8d 11 c2 5

1 3d c 3 25

21 2d 12 c4 3

2 2d pound 1 21

12

21 2sect


13 c5 1

23 8 d X 5 c54

2 d 14 c23 1

5 4 d X 5 c25 217

14 51 d 15 c4 23

1 28 d X 5 c14

211 d


16 e4 x 1 3 y 5 7

22 x 1 4 y 5 24 17 e x 1 20 5 23 y

5 x 5 4 2 2 y 18 bull 4 y 1 2z 5 2

5z 5 20 1 3 x

2 x 1 3z 5 7 2 8 y

Do you UNDERSTAND







no yes yes

X 5 c10

4d

x5

2

2 y5

5

X 5 c2 7

1 4d

x5

4 y5

2

8

X 5 c52d

x 5 5 y 5 23 z 5 7




Name Class Date



Do you know HOW










contingency table







Skin irritation

Used new sunscreen



Totals

2 40

3 40

5

38

37

75 80

13

79

59

16



31 188 asymp 485

8568 ways



Name Class Date







on each trial

10 x 5 4 n 5 9 p 5 03 11 x 5 7 n 5 12 p 5 06 12 x 5 2 n 5 7 p 5 05



Do you UNDERSTAND


graduates
















N 017 N 023 N 016

about 68

4 6 8 10 12 14 16 18

005 or 5


050 or 50





Name Class Date

Do you know HOW


1 c 6 3

21 24d 1 c1 27

5 22d 2 c 9 4

23 6d 2 c 4 1

22 6d 3 pound 2 3

24 1

8 26

sect 1 pound 5 26

25 7

2 3

sect


4 c3 x

6 7 d 1 c21 24

y z d 5 c2 23

9 5 d 5 c2 x 1 4 10

24 y 25 d 5 c10 2z

16 25 d

Find each product

6 c 4 7

21 2d c25 4

3 26d 7 c5 23

0 1d c 2 4

21 5d 8 f1 3g c4 25 1

2 3 6d

Do you UNDERSTAND



2 c4 1

2 23d 1 2 X 5 c 22 22

22 4d


c7 24

4 26d

c1 226

11 216 d




23 5d

x 5 1 y 5 3 z 5 22 x 5 3 y 5 24 z 5 5

c 5 3

21 0d

c13 5

21 5 d

pound 7 23

29 8

10 23

sect

f10 4 19g





Name Class Date

Do you know HOW


10 c25 2

3 7d c1 23

3 8d 11 c2 5

1 3d c 3 25

21 2d 12 c4 3

2 2d pound 1 21

12

21 2sect


13 c5 1

23 8 d X 5 c54

2 d 14 c23 1

5 4 d X 5 c25 217

14 51 d 15 c4 23

1 28 d X 5 c14

211 d


16 e4 x 1 3 y 5 7

22 x 1 4 y 5 24 17 e x 1 20 5 23 y

5 x 5 4 2 2 y 18 bull 4 y 1 2z 5 2

5z 5 20 1 3 x

2 x 1 3z 5 7 2 8 y

Do you UNDERSTAND







no yes yes

X 5 c10

4d

x5

2

2 y5

5

X 5 c2 7

1 4d

x5

4 y5

2

8

X 5 c52d

x 5 5 y 5 23 z 5 7




Name Class Date







on each trial

10 x 5 4 n 5 9 p 5 03 11 x 5 7 n 5 12 p 5 06 12 x 5 2 n 5 7 p 5 05



Do you UNDERSTAND


graduates
















N 017 N 023 N 016

about 68

4 6 8 10 12 14 16 18

005 or 5


050 or 50





Name Class Date

Do you know HOW


1 c 6 3

21 24d 1 c1 27

5 22d 2 c 9 4

23 6d 2 c 4 1

22 6d 3 pound 2 3

24 1

8 26

sect 1 pound 5 26

25 7

2 3

sect


4 c3 x

6 7 d 1 c21 24

y z d 5 c2 23

9 5 d 5 c2 x 1 4 10

24 y 25 d 5 c10 2z

16 25 d

Find each product

6 c 4 7

21 2d c25 4

3 26d 7 c5 23

0 1d c 2 4

21 5d 8 f1 3g c4 25 1

2 3 6d

Do you UNDERSTAND



2 c4 1

2 23d 1 2 X 5 c 22 22

22 4d


c7 24

4 26d

c1 226

11 216 d




23 5d

x 5 1 y 5 3 z 5 22 x 5 3 y 5 24 z 5 5

c 5 3

21 0d

c13 5

21 5 d

pound 7 23

29 8

10 23

sect

f10 4 19g





Name Class Date

Do you know HOW


10 c25 2

3 7d c1 23

3 8d 11 c2 5

1 3d c 3 25

21 2d 12 c4 3

2 2d pound 1 21

12

21 2sect


13 c5 1

23 8 d X 5 c54

2 d 14 c23 1

5 4 d X 5 c25 217

14 51 d 15 c4 23

1 28 d X 5 c14

211 d


16 e4 x 1 3 y 5 7

22 x 1 4 y 5 24 17 e x 1 20 5 23 y

5 x 5 4 2 2 y 18 bull 4 y 1 2z 5 2

5z 5 20 1 3 x

2 x 1 3z 5 7 2 8 y

Do you UNDERSTAND







no yes yes

X 5 c10

4d

x5

2

2 y5

5

X 5 c2 7

1 4d

x5

4 y5

2

8

X 5 c52d

x 5 5 y 5 23 z 5 7






Name Class Date

Do you know HOW


1 c 6 3

21 24d 1 c1 27

5 22d 2 c 9 4

23 6d 2 c 4 1

22 6d 3 pound 2 3

24 1

8 26

sect 1 pound 5 26

25 7

2 3

sect


4 c3 x

6 7 d 1 c21 24

y z d 5 c2 23

9 5 d 5 c2 x 1 4 10

24 y 25 d 5 c10 2z

16 25 d

Find each product

6 c 4 7

21 2d c25 4

3 26d 7 c5 23

0 1d c 2 4

21 5d 8 f1 3g c4 25 1

2 3 6d

Do you UNDERSTAND



2 c4 1

2 23d 1 2 X 5 c 22 22

22 4d


c7 24

4 26d

c1 226

11 216 d




23 5d

x 5 1 y 5 3 z 5 22 x 5 3 y 5 24 z 5 5

c 5 3

21 0d

c13 5

21 5 d

pound 7 23

29 8

10 23

sect

f10 4 19g





Name Class Date

Do you know HOW


10 c25 2

3 7d c1 23

3 8d 11 c2 5

1 3d c 3 25

21 2d 12 c4 3

2 2d pound 1 21

12

21 2sect


13 c5 1

23 8 d X 5 c54

2 d 14 c23 1

5 4 d X 5 c25 217

14 51 d 15 c4 23

1 28 d X 5 c14

211 d


16 e4 x 1 3 y 5 7

22 x 1 4 y 5 24 17 e x 1 20 5 23 y

5 x 5 4 2 2 y 18 bull 4 y 1 2z 5 2

5z 5 20 1 3 x

2 x 1 3z 5 7 2 8 y

Do you UNDERSTAND







no yes yes

X 5 c10

4d

x5

2

2 y5

5

X 5 c2 7

1 4d

x5

4 y5

2

8

X 5 c52d

x 5 5 y 5 23 z 5 7






Name Class Date

Do you know HOW


10 c25 2

3 7d c1 23

3 8d 11 c2 5

1 3d c 3 25

21 2d 12 c4 3

2 2d pound 1 21

12

21 2sect


13 c5 1

23 8 d X 5 c54

2 d 14 c23 1

5 4 d X 5 c25 217

14 51 d 15 c4 23

1 28 d X 5 c14

211 d


16 e4 x 1 3 y 5 7

22 x 1 4 y 5 24 17 e x 1 20 5 23 y

5 x 5 4 2 2 y 18 bull 4 y 1 2z 5 2

5z 5 20 1 3 x

2 x 1 3z 5 7 2 8 y

Do you UNDERSTAND







no yes yes

X 5 c10

4d

x5

2

2 y5

5

X 5 c2 7

1 4d

x5

4 y5

2

8

X 5 c52d

x 5 5 y 5 23 z 5 7


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Algebra II Final Exam Review Ch. Tests 1 51112 Answers