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Transcript
Math I notes
Week of November 16, 2015
Identify-----Isolate-----Eliminate
MONDAY
Solving Quadratic Equations--- has to equal zero
1)
2)
3)
4)
Graph
Take square roots
Factoring
Formula
Factoring
1)
2)
3)
4)
GCF—greatest common factor (make a list)
Difference of 2 squares
Short cut
what numbers can you use to multiple and add to get numbers in equation?
“wrong” way what numbers can you use to multiple and add to get numbers in equation?
Don’t forget to DIVIDE at the end
Zero Product Property: If you know that (x)(y)=0, what can you tell me for sure about x or y? one of
them HAS to be 0
When the product of two factors is zero, then one/both of the factors equal zero. Set each
factor equal to zero and find each solution.
What if I tell you that (x)(y)=6? Cannot determine numbers
*Before you factor make sure the equation = 0.
If it is x~2 you are looking for 2 answers.
If you move the number to the opposite side of = then you need to change the charge from/to
positive/negative.
Once you get the factors (x-a)(y-b)=0 then separate (x-a)=0 (y-b)=0
Distribution: combine two products to create equation
TUESDAY
Area of triangle ½ base * height
GCF---make a list (cut in half#/double#)
Rectangle Area----length*height……………negative numbers don’t work in obtaining the area
WEDNESDAY
When taking the square root of numbers, always remember positive and negative
If a two is the highest exponent it is a quadratic equation
4th technique to solve quadratic equations is FORMULA
Solving quadratic through FORMULA
See written formula (notes from 11/18/2015)
Equation HAS to equal ZERO
The entire formula is divided by 2a
Opposite of –b
Plus/minus lets us know there are two answers
Be cautious of negative signs
Don’t round off, give exact answer
If the square root is not perfect, bust it up
“are you sleeping” song will help you remember formula
(Opposite of b, plus or minus square root, b squared minus 4ac, all over 2a)
SONG: repeat each section
If a=0 the formula is not quadratic
b squared cannot be negative
THURSDAY
Review for test
WEEK of November 23, 2015
MONDAY
Math I Book I
Combining FUNCTIONS (p.337)- add, subtract, multiply and divide linear and exponential functions.
(p.337) bottom of page has Key Concepts and Function Operations
-cannot divide by zero (undefined)
-combine like terms
-make a table
-anytime you subtract a group, put () around whole group
-Add & Subtract Functions
-Multiply & Dividing Functions
-have to divide entire group
-if you add two numbers with the same base, base stays the same and exponents are added
After Christmas----two practice EOC tests
EOC test you get 4hrs (possible 1.5hrs for 1st part of EOC)
HOMEWORK p.341 (7-10), p.342 (17-24)
TUESDAY
-homework review
p.399
Correlation=relationship
Trend lines and correlations
Scatterplots
Calculator to get “line of best fit” equal number of dots on each side
Positive correlation: as one increases so does the other (if x increases then y increases)
Negative correlation: as one increases then the other decreases (if x increases then y decreases)
No correlation: increasing and decreasing have no meaning/relationship
Strong/Weak Positive correlation: if the dots are not compact/tight together
Strong/Weak Negative correlation: if the dots are not compact/tight together
May be able to look at data and not graph, pending on your numbers
CALCULATOR
Turn on------2nd (+) 71 2 ----------------CLEAR RAM
STAT-----EDIT (hi-lighted)-----enter
L1 is group one of numbers
L2 is group two of numbers
Y= button---hi-light PLOT Y-----GRAPH
ZOOM----- #9 ZOOM STAT----enter
If you delete a list----GO TO----STAT----SetupEditor----enter-----go back to STAT---EDIT (list will be there)
TO GET EQUATION
STAT--- hi-light CALC---- #4 LinReg (linear regulation)----y=ax+b
#5 QuadReg (quadratic)
#0 ExpReg (exponential)
2nd----0 (catalog)-----list of everything calculator can do-----hit GREEN D (x button)----DiagnosticON---enter-----enter again until it says done
STAT---CALC---LinReg---scroll through list and calculate----r= is the correlation -1: 1
Is the answer close to -1:1? The closer to number -1:1 the better the correlation
~When dealing with Dates in a graphing situation…..first year in data =0 and then figure out the pattern
***watch for conversions (graph is in months and question is asking a year)
***Clear—clear it out
***Delete—getting rid of it
ERROR message: DIM MISMATCH means that there are more numbers in one column than the other
HOMEWORK p.407 #10-12 p.408 #18-21 #19*
Week of December 4, 2015
MONDAY
Homework answers
p.407) #10 strong negative
#11 y=-2.5x + 137
#12 12.6 degrees
p.409) #18 7cm
#19 Exponential; y= 8.4 x 1.075^x ; 0.9999943; yes; 1995
#20 y= 0.91x + 18; 154,178,000; no
p.410) #21
CHAPTER 6—DATA ANALYSIS
STATISTICS
FREQUENCY TABLE
displaying data and analyzing data
p. 372 frequency table & histogram
Frequency- how often it happens
quickest time & slowest time
RANGE= biggest number – smallest number
To find INTERVALS: take Range and divide by 4
** see written notes
Relative Frequency= comparing current settings, how frequently it occurred within the group
all of the relative frequency numbers added together should equal 1
HISTOGRAM p.372 (looks like a bar graph)
Problem 2 (see written notes for picture of histogram)
Subtract largest from smallest
105-80=25
Interval
25/4= 6
# of people
relative frequency
80-86
4
4/13
87-93
4
4/13
94-100
3
3/13
101-107
2
2/13
p.373 UNIFORM, SYMMETRIC, SKEWED histograms in terms of their shape
uniform- roughly bars are same height
symmetric- close to mirror images if cut in half
skewed- learns more one way than the other, peak is not in center
a) 17-1= 16
16/4= 4----too small groups so change to 3.5
Intervals
frequency
1-4.5
2
5-8.5
3
9-12.5
4
13-17
4
Answer: SKEWED TO THE RIGHT
b) $9 x 5 days in a week
Answer: $45/$50
CUMULATIVE FREQUENCY P.375
HOMEWORK: p.376 (9-13) p.377 (15-19) p.378 (21-27) #9 do a frequency and relative frequency table
TUESDAY
6-2 Measures of Central Tendency and Dispersion (how is information spread out)
MEAN, MEDIAN, MODE, RANGEnumbers can be decimals
Mean= add all numbers and divide by # of numbers, AVERAGE
Median= middle number, list from smallest to largest (vice versa); can be the average of the two middle
numbers
Mode= the number(s) that appears the most
*****Which of those three best describe the set of data?? MEAN
[p.379 Key Concept: When to Use]
outlier= the number who is way smaller or larger than the other numbers
if there is an outlier, the median would be best to describe set
if there is NOT an outlier, the mean would be best to describe set
CALCULATOR
STAT- EDIT
STAT-CALC (hi-lighted at top)- #1 1-Var Stats [to find median and mode]
p.381
-see written notes
line plot= how many times something appears (see chart on p. 381), use x- tallies to show how many of
each number
Problem 3: Finding the Range
RANGE: biggest minus smallest
C= range 6
mean 4.2
D= range 22
mean 11.2
*stock C is usually cheaper; stock C has a small range so it is more stable
5) E= 113 183 479outlier 120 117
F= 145 129 153 135 142
range 479-113= 366
mean: all numbers/5= 202.4
range 153-129= 24
mean: all numbers/5= 140.8
***having a big range doesn’t mean that its better, it means that your numbers are spread out more
HOMEWORK: P.385 #11-19, 23-25
WEDNESDAY
p. 387 homework answers
12) mean 8.76
14) all describe central tendency of data, but describe different things—list definitions
18a) 5.8, 5.4, 1.2
25) mean 20x/3, median 6x, range 7x, mode 4x
6-3 Box and Whisker Plots p. 392
See chart at the bottom of p.392
Quartile= values that divide a data set into four equal parts
FIRST QUARTILE (Q1) median of lower half of data
THIRD QUARTILE (Q3) median of upper half of data
Interquartile range= difference between the third and first quartiles
p.393
1a) 60 65 75 75 75 85 85 85 95 100 105 (put in order first)
Min=60
max=105
Q1= 75 (1st 75)
median=85
Q3= 95
60 65 70 75 80 85 90 95 100 105
I------------I--------I-------I-----------I
1b) 5 7 11 19 21 53
Min=5
0
max=53
10
20
median=15
30
40
50
Q1= 7
Q3=21
60
I---------I------------I----------------------------------I
Practice #3 & #4 p.394
*Put in order first
3) 206 374 421 469 489 505 531 573 702
min=206
Q1=397.5
max=702
Q3=552
median=489
*Put into a more uniform way
200 250 300 350 400 450 500 550 600 650 700
I-----------------------I---------I----------I-----------------I
4) 30 70 90 120 220 224 280 410
Q1= 77.5
Q3=252
min=30
max=410
median= 179.25
30 60 90 120 150 180 210 240 270 300 330 360 390 420
I-----------------------I---------------------I------------------------I
CALCULATOR (when listing in L1 can be in any order, just need to make sure you put all numbers)
STAT—(hi-light) EDIT----enter info in L1----STAT (hi-light) CALC---#1 Var Stats----enter, enter, enter(where
it says calculate)
2nd---Y= (above is STAT PLOT)----enter choose Plot 1-----hit enter to turn plot on-----Type: (hi-light) <right
arrow key to> whisker plot-----STAT----#9 zoom STAT-----TRACE <will give you all info>
p.396
6) 46%tile
To find a percentile rank: percentage of data values that are less than or equal to that value, separate
into 100 equal parts
HOMEWORK p.396 (8-12) (16, 18, 19, 20, 21)
THURSDAY
p. 396 homework answers
10) Class B
11) the box
12) 88
18) unlimited answers
Test next Tuesday
6-5 Two-Way Frequency Tables p. 414
Frequency (how many times)
**Relative frequency (decimal/fraction---frequency over total number) can turn into percentages
Joint frequency= has to have two conditions (ie. girls and own a bicycle)
Marginal frequency= entry in the total row/column
See written notes for example
~ two way frequency table---Great way to display data
p.416----adding the relative frequency category
turning decimals into percentages
joint relative frequency===== what percent of??
“given”= if you know
p.418 problem 3
READ WORDS CAREFULLY TO SEE WHAT THE PROBLEM IS ASKING
HOMEWORK p.421 (7-10, 15-19, 21)
NOTEBOOK CHECK
(14.9 #1, 15.3 G, 15.4 #1, 14.7 #1---workbooks), p341 #7, p341 #17, p.407 #11, p.407 #18, p. 377 #315b,
p.385 #11
Week of December 11, 2015
MONDAY
p. 425
Chapter 6 Review, test tomorrow
CALCULATOR
if /r/ does not show up go to 2nd Catalog----diagnostic (turn on)
Review sheet
TUESDAY
Review
Test
WEDNESDAY
7-2 Points, Lines, and Planes
p.441
(name it with capital letter) Point= indicates a location and has no size
(name it with lower case line l, AB, BA) Line= straight path that extends in two opposite directions w/o
end and has no thickness, contains infinitely many points
(use capital letter such as plane P or plane ABC) Plane= flat surface that extends w/o end and has no
thickness, contains infinitely many lines (goes on forever---but not in all directions)
Collinear points= points that lie on the same line
Coplanar= points and lines that lie in the same plane
Geometric figure= set of points
Space= set of all points in three dimensions
(AB) Segment= part of line that consists of two endpoints and all points between them, piece of a line
(AB) Ray= part of line that consists of one endpoint and all the points of the line on one side of the
endpoint
Opposite rays= two rays that share the same endpoint and form a line
ANSWERS: p.442 Problem 1
a)
b)
c) RQS, TQN
d) N, T
Practice A
1) EBF
2) G, E, F, B
p. 443 Problem 2
Practice A
3) RW, ST, RT, TW, SW, RS
4) RW, TW, ST (go down) WR, TR, SR (go up)
P.444 Postulate/axiom= basic building blocks of the logical system in geometry
Postulate 1= through any two points there is exactly one line
*Intersection: set of points the figures have in common
Postulate 2= if two distinct lines intersect, then they intersect in exactly one point
Postulate 3= if two distinct planes intersect, then they intersect in exactly one line
Postulate 4= through any three noncollinear points there is exactly one plane
Problem 3
a) front & right / plane ABFE, BCGF (F&B are in both planes)
b) two points make a line and the two planes intersect at a line
Practice A
5. bottom & right / RS
6. front & left / QUR, XUQ
Problem 4 p.446
a) P
b) JM, ML
HOMEWORK (P.447 # 9-25, 27, 29-35, 42, 44, 46)
THURSDAY
Review homework
9) line XR
10) ray RY, ray RX
11) RS
12) segment RS, SR
13) no
14)
because the line goes in both directions 15) –diff: one has one arrow and the other two arrows, one side
of both of them goes forever, both have 2 points
16) yes 17) yes 18) no 19) yes 20) no 21) no
22) can draw 23) cannot draw
30) sometimes 31) always
24) can draw 25) cannot draw
29) always
32) sometimes 33) always
34) never
35) triangular prism
b. (1) left
42) yes
a. (1) bottom
44) no
c. (1) diagonal d.
e. yes
46) yes
p. 451 7-3 Measuring Segments
Postulate 5- Ruler postulate= every point on a line can be paired with a real number
Postulate 6- Segment Addition postulate= if three points are collinear ABC and B is between A & C, then
AB+BC=AC
Coordinate= the real number that corresponds to a point
Distance= absolute value of the difference of the coordinates **cannot have negative distances
Congruent Segments= if two segments have the same length
Midpoint= point that divides the segment into two congruent segments
Segment Bisector= a point, line, ray or other segment that intersects a segment at its midpoint (cuts a
segment in half)
Problem 1
UV=(4) SV=(18)
1) 9
Problem 2
JK
2) 6
make an equation 4x+6+7x+15=120
4(9)+6= 42
KL
11x+ 21= 120
11x=99/11 x=9
7(9)+15= 78
3) 24
4) 25
a. No
b. 5-(-2)=? 7,
wrong (-2)-5=?
b. TU
UV
Problem 3
Problem 4
35
35
5)
TV
70
Since you know they have to equal the same in length, put them equal to each other, find x and
fill it in to find the answer (3 step process)
Practice 7
a. XA=9
3x=5x-6
b. 9, 18
Lesson Check p. 455
8) B
9) A,G 10) D
11) BD, CE, DF, EG
HOMEWORK: worksheets Measuring Segments
Week of December 18, 2015
MONDAY
p.458 7-4
Measuring Angles)
angle= two rays with the same endpoint (for ways to name an angle see bottom p.458)
acute 0<x<90
right x=90 (needs the symbol) obtuse 90<x<180
straight x=180
congruent angles= angles with the same measure, could be length or size
rays= sides of angle
vertex= endpoint of an angle (the point at which you change directions)
interior of angle= region containing all of the points between the two sides of the angle
exterior of angle= region containing all of the points outside of the angle
circle= all points in a plane that are a given distance from a given point, 360 degrees
WHEN YOU NAME ANGLES USING 3 POINTS, THE VERTEX MUST GO IN THE MIDDLE
One way to measure the size of an angle is in degrees
To indicate the measure of an angle, write a lowercase m in front of the angle symbol
(m<A=)
Problem 1
a) <2, <LMK
b) no, because you don’t know what angle is being identified
Practice
1) <1, <ABC, <CAB, <B
2) <JKM, <MKJ, <2
POSTULATE 7= protractor postulate: allows you to find the measure of an angle
Practice A
2) Right
4) acute
5) acute
p. 461 (bottom) shows how to write congruent angles
p.462 Practice A
6. 75
7. 130
POSTULATE 8= angle addition postulate: angle addition postulate is similar to segment addition
postulate (see middle of p.462)
Problem 4
(11x-12) + (2x+10)= 180 get x= 14 and THEN PLUG IT IN!!!! to get answers
8) (5x+4) + (8x-3) = 79 get x and then PLUG IT INTO EQUATIONS TO GET ANSWERS
9) (6x+20) + (2x+4)= 180
get x and then PLUG INTO EQUATIONS TO GET ANSWERS
HOMEWORK P.463 #10-12, 14, 20-22, 24-29
P. 7-5 Exploring Angle Pairs
Adjacent angles= two coplanar angles with a common side, common vertex, and no common interior
points (sit side by side)
Vertical angles= two angles whose sides are opposite rays (sit across from each other)
Complementary angles= two angles whose measures have a sum of 90 (C comes 1st and 90 comes first)
Supplementary angles= two angles whose measures have a sum of 180
Problem 1
a) Yes
b) no
c) yes
Practice A
1. <DOC, <AOB
2. <AOB, <DOC
p.468
CAN find from diagram
CANNOT find from diagram
Angles are adjacent
angles/segments are congruent
Angles are adjacent and supplementary
an angle is a right angle
Angles are vertical angles
angles are complementary
HOMEWORK p.472 # 8-11, 13-17, 20-23, 29-32
TUESDAY
Homework review p.464
20) x=8, <AOB=30, <BOC=50, <COD=30
21) x=18, <BOC=52, <AOD=108
22) A
24)180
25) 150
26) 30
27) 120
28) 30
29) 30
p.469 7-5 Exploring angle pairs, con’t
c) don’t know for sure, would have to have right angle symbol
d) don’t know for sure, PQ bisects TV, but unknown if TV bisects PQ
Practice A
3) Yes, diagram tells me that
4) yes, but may need more information
POSTULATE 9= linear pair postulate: two angles form a linear pair(has to share a side),
supplementary = 180
Problem 3
a)
b) add (3x+14) + (5x-2)= 180…………….then find x=21……………then plug in answers
Practice A
5)<QMN, <LMQ
<LMP, <PMN
6) add (4n+15) + (2n+21)=180………………..find x…………………..then plug in answers
Angle bisector= ray that divides an angle into two congruent angles, endpoint is at the angle vertex, the
ray/segment is cutting the angle in half
Problem 4
36 degrees
Practice A
a) (3x-3)=(4x-14) because they are congruent
measures of angles
b) <HGI= 30
c) <FGI= 60
HOMEWORK p.472 # 8-11, 13-17, 20-23, 29-32
x=11……………plug in answers to find
p. 475 7-6 Midpoint and Distance in the coordinate plane
***On the number line: the coordinate of the midpoint is AVERAGE/MEAN of the coordinates of the
endpoints
***In the coordinate plane: the coordinates of the midpoint are the average of the x-coordinates and the
average of the y-coordinates of the endpoints
FORMULA--- the coordinate of the midpoint M of AB is a+b/2
Do not use Coordinate Plane Formula on p. 475
Problem 1: finding midpoint
b) Average up the x #s and average up the y #s but it needs to equal a point on graph
(4, -2)
Problem 2: finding endpoint
(-3,-5)-----------(4,-9) --------------- (x,y)
(-3+x/2)=4
Multiply both sides by 2 to get rid of fractions -3x+x=8, x=11
(-5+y/2)=-9
-5+y=-18, y=-13………plug in answers
HOMEWORK: finish all of p.472, p.479 #9-10, p.481 #14-22----only do part (b)
WEDNESDAY
Homework answers p. 472 8) <AFE, <CFD 9) <AEF, <DEF 10) <BCE, <ECD
14) x=5, 50
16) x=11, <56
17) x=12, 112
20) 90
22) 155
23) 115
p.474 29) <KML, <PMR, <MQP, <KMQ, <MNR
32) <PMR, <KMQ, <KML, <MQP
30) <KML
p.473 20) 90
23) 105
21) 25
p.479 9) ½, 11/2 (.5, 5.5)
17) -2.5, 3
18) 1, -4
22) 155
10) 7, -8
19) -4, -4
11) 20
21) 25
31) <LMN, <PMQ
14) 4.5, 4
15) 1.5,0.5
16) -1.5, .5
20)
21) 3, .5
22) 3.5, 1
problems worked out
14) P(3, 2) Q(6, 6)
3+6/2 2+6/2 (9/2, 8/2 or 4.5, 4)
10) BC(5, -2) B(3,4) C(x,y)
3+x/2=5
3+x=5(2)
4+y=-2(2)
C= (7, -8)
4+y/2=-2
multiply both sides by 2
p.478
Problem 3
a. SR S(-2,14) R(3,-1) [looking for a distance not a point] how do you find a diagonal
distance?
10^2 + 2^2 = h^2 100+4=h^2
104=h^2
take square root of both
h=10.2
Pythagorean Theorem
Not!!!
leg^2 + leg^2 = hypotenuse^2
a^2+ b^2 = c^2
p.477 DISTANCE FORMULA
(x,y)
(x,y)------(x-x)
(y-y)----------
d^2=x^2 + y^2
Practice A
5. R(0,5) S(12,3)
d^2=x^2+y^2
d^2= -12^2 + 2^2
If you square a negative number in the calculator, you must put them into parenthesis
d^2= 144 + 4
[d^2=148
square root both]
d= 12.2
may use longer formula on p.477 if you have fractions or large numbers
HOMEWORK p. 479 #9-11, 13-22, 26-28
review tomorrow and possible test
or review all tomorrow and test Friday
THURSDAY
Homework review
p. 480: 11) 8.5
13) he didn’t do x-x or y-y, he did x-y
14) 5 15) 5.8
16) 7.1
17) 5.4
18) 10
19)
20) 6.7
21) 5.4
22) 2.2
26) midpoint -1.5, 0
distance 19.2 27) distance 10.8 midpoint 3,-4
28) distance 5.4 midpoint
Notebook Check 2b: p.341 #7, p.407 #11, p.377 #16, p.385 # 13,
p.391 #10, p.421 #7, p.447 #10, p.456 #15, p.463 #10, p.472 # 14
****Math I Geometry Review packet
FRIDAY
Finish reviewing Geometry Review packet & TEST
Week of January 8th, 2016
REVIEW FOR EOC
Monday
Review of Test from before break
North Carolina READY EOC Assessment, Math I (last year’s 2015 test) for practice and timing
*careful on how you bubble in sheet, watch the columns
*cannot answer in mixed numbers, so has to be decimal or improper fraction
*anything you can come up with that is equivalent to the answer, you can enter it
Tuesday
Review and complete last years practice test
Wednesday
*count A, B, C & D answers, see how many of each you have
*questions really don’t know ?s ----leave blank, when you finish the test you are going to average how
many of each letter you have, then use the letter that was used the least--number for all the unknown
answers
*do all first 15 questions (inactive) and cannot go back, but keep track of letter answers still
*Factor, square root, make a table, GCF
*if given equation, it says graph it……make a table
*draw pictures, scrap paper
*read the English and write it as Math
*Distribute, combine like terms
*System of equations: eliminate, multiple top equation by (-2)
*do not need to reduce to lowest form
ANSWERS from pretest
1) B
8) 5
9) 6
10) 10
2) C
3) B
11) -5
4) D
5) D
12) 16
6) 120 7) .75 or ¾ or 45/60
13) 9 14) 4
15) 1
THURSDAY
*Quadratic: factoring, song, calculator
Factoring-----divide by like terms to lower numbers
Make a list if needed----what two numbers multiplied together equal the same when added
together (ie. t^2-4t-12=0) so [ -6x2= -12 and -6+2= -4 ]
*CALCULATOR----2nd ---Calculate----ZOOM find where item hit ground
*When an exponent is negative, have to change its location, so 2^-2 would = ½^2 (1/4)
*Combine like terms when they are on the same side
*don’t forget that x= 6+ - 12/2 equals 6+12/2 AND 6-12/2------two problems to solve
*a length being negative doesn’t make sense
*read questions carefully to really understand what the question is asking
*make sure you watch what the numbers labeled as….. aka miles, yards, minutes, hours and make sure
you convert them correctly, changing one unit to another
*try to cancel out as much as possible when using fractions
ANSWERS to pretest: 16) B
26) D 27) A 28) B
17) C
29) D
18) D
30) B
19) C
31) D
20) B
21) D
22) C
23) B
24) D
25) B
*Cube root of 3, 4, 5------have to change to (8x^2y^3z^4)^1/3 = 3|8x^2y^3z^4 (cube root)
*Parabola (U-shaped)
Calculator Zoom Fit will fit onto screen to show part of it. Zoom Out if needed.
2nd calculate-----Minimum
Calculator-----Stat-----Edit-----clear out columns, enter info------STAT----Calculate----#4 LinReg
FRIDAY
*Continue review of last year EOC
*adding every time is linear and multiplying every time is exponential when creating a list of numbers
*slope equation: m= delta y/delta x
* y=mx+b don’t plug in for b equation of a line you need slope & y intercept
* parameter of a triangle: add up all lengths of the sides---use pathagrium theorem
*make sure you put in order, make sure you have all numbers,, make sure you are using the same unit
type
*standard deviation: how far the numbers are away from a central number
* read the question to know what it is asking!!!
ANSWERS to the last part of the test
32) C
33) B
45) B
34) A
46) A
35) C
47) C
36) C
48) C
37) D
49) B
38) C
50) A
39) A
40) A
41) A
42) C
43) C
*16-end of test: leave ones you don’t know blank….. at end, count how many of each letter you
have……use the least used letter for all unanswered answers
* STAT---CALC----Linear Equa
* 2nd---Catalog---Diagnostic---On----enter, enter, enter
*remember to change decimals to fractions as needed
*see a TABLE, automatically think STAT on calculator
*when seeing (AT LEAST) use less than/equal to
*when seeing (NO MORE THAN) use less than/equal to
*
44) C