7r - final exam review packet (with answers).notebook€¦ · 7r final exam review packet (with...
TRANSCRIPT
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
Answer Key
> > >< <
9, 5, 3, 0, 3, 6
0.24 (any fraction or decimal)11
44
102 2100
|102 + 2||104|
|102 + 2|same as #10
104
10 212
(102 2)(100)100
|104| 104
4 4 4
((40)40
the opposite of 3 squared
(9)9
93 39
negative 3 squared
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
73
+
8 2520 10 + 5 012 20 21 + 14
700 78 99 105
12 31 5 6
110 + 85 = x25 = x 25 feet below sea level
22 (8) = x30 = x 30 degree difference
16 + 9 = x7 = x 7
352 33
1
37 5
17949 7
18
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
41
14
35
6 peaches 4 plums
15 marbles 7 blue
15 11
20 11 2 20
7 8
30 7 1 15
13 24 23 4
2 1 1
5 3 2
1 36 1 14
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
4 7
2 11
10 27 27
10 9
32 32 9
5 4 7
4 2 8 3
2 1 1 7
4 315 2
6.07; 6.6; 6.7; 6.75
5958.7
58.6958.686
44.14.104.100
>< 03.30
>
0.125 5.6 3.25
100 75
10 6 4
4 3
5 3 4
10 8
5 4
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
3.17 2.74 6.76 11.83
+3.54
5.52 0.64 0.528 0.9462
0.6 6.6 2.18 48
314 2 +
318
312 3 3
7 31 2 2 3 + 2 3
4 32+ 4
3 31
14
1.6 ( )
2.1
3 (1.6) + 2 ( )
3.8 21.6 + ( )
0.3
25 1.6 6( )
26.421
21
21 2
1
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
n + 12n + 7
15x2y 20 + 72
x
(2n 3)3 (12 + x)(
(
((
5x x2y 3y 75x x 2y 3y5 1 2 3
7
1
4a 10b 8 2a 74a 2a 8 74 10 28 7
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
10x + 30 10x 30 10x 30 10x + 30
xy + xz xy + xz xy + xz xy + xz
7x + 2 2y + 5z 2y + 9z 7
5x + 8y 6 a 13b + 7 20 + 10y 27 3y7y 7
GCF: 5 GCF: 3x GCF: 4 GCF: 4y
GCF: x GCF: 5 GCF: 5
x (1 y) 5 (3m + 10) 5 (3a 4b + 2c)
9x + 27y9(x + 3y)
8x 6x + 8 + 2
2x + 102(x + 5)
6x + 186(x + 3)
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
4c - 6 = 2
44c = 8
+ 6
4
+ 6
c = 2
-4 = 2x - 2
2-2 = 2x + 2
2
+ 2
-1 = x
-5 = 3m - 14
39 = 3m
+ 14
3
+ 14
3 = m
0 = 8z + 8
-8-8 = 8z
- 8
-8
- 8
-1 = z
** Checks for #'s 1 4 on Next Slide **
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
4c - 6 = 212
3?
2 = 2√
4 2 -6 = 28 - 6 = 2
?
check #1
-4 = 2x - 212
3?
-4 = -4√
-4 = 2 -1 - 2?
check #2
-4 = -2 - 2
-5 = 3m - 1412
3?
-5 = -5√
-5 = 3 3 - 14
-5 = 9 - 14
?
check #30 = 8z + 81
2
3?
0 = 0√
0 = 8 -1 + 8
0 = -8 + 8
?
check #4
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
9
-1 = 4 - 5x
-5-5
- 4
1 = x
- 4-5 = -5x
12 - 3x = 6
-3
- 12
-3x = 2
- 12-3x = -6
31
- 2.5
x = 3.6
x + 2.5 = 3.713
x = 1.2- 2.5
13
31
-
m =
12 m + = 3
514
35 - 35
12 m = 7
2021
710-
-21
-6x - 21 = 3
-6-6x = 24
+ 21
-6
+21
x = -4
6x + 6 = 10x + 30- 10x- 10x
-4-4x = 24-4
- 6-4x + 6 = 30
- 6
x = -6
2x + 5 = 20
22x = 15
- 5
2
- 5
x = 7 or 7.5 12
5y - 17 = 13
55y = 30
+ 17
5
+ 17
y = 6
--6 - 11 = 2x + 1
- 17 = 2x + 1 - 1- 1
- 18 = 2x 22
-9 = x
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
No NoYes Yes
50 20 -2 0
x > -2
- 12 - 12x ≤ -3
x + 12 ≤ 9
-3 0
+ 15x > 34
-15 + x > 19+ 15
340
-0.9x > 0.54-0.9 -0.9
x < -0.6
-0.6 0
12- 1
2-
x < 14
0 14
-7-7
n ≤ -5
-2x ≥ 10-2 -2
-5 0
-2x + 7 ≥ 17
+ 7
- 5x
x ≤ -4
8x - 7 ≤ 5x - 19
3 3
- 5x3x - 7 ≤ - 19
+ 73x ≤ -12
-4 0
10
+ 10x ≥ 3
+ 1010x - 10 ≥ 20
10x ≥ 3010
30
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
n + 4 ≤ 13
4n + 9 ≥ 303 ≤ 54
x
(n 6) < 9( (n 11 ≥ 17
4x + 9 ≤ 30
3x + 5 ≥ 13
( ( (2n + 9) < 376(x 3) > 24( (
3x 4 ≤ 5
5 x > 8
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
16x = 9
16x = 14416 8
x = 35
8x = 2808
3x = 6
3 (x+4) = 30
3
3x + 12 = 30- 12 - 12
3x = 18
3.5 0.3 = 0.7 1.5?
1.05 = 1.05
Yes3 2
5 2
4 3
7 3 =?
7 2
10 3 =?
No
60x = 555
60n = 33,3006060 900 =37 n
555 red blood cells would be expected.
10 n =1 3.5 1x = 35
1n = 351 The actual distance to
the food court is 35 m.
6 n =1 4Length:
1n = 24
1n = 241
6 n =1 3Width:
1n = 18
1n = 181
Length = 24ftWidth = 18 ft
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
3 shortcakes10 quarts2 1
= 2 1 3 quarts/ shortcake
3 weeks6 inches = 2 inches/ week
5
4 hours$25 = $6.25/ hour
20 pounds$14.99 = 0.7495 $0.75/ pound
50 pounds$37.99 = 0.7598 $0.76/ pound
The 20 pound bag is a better buy because it costs less per pound.
2 CD's$26.50 = 13.25 $13.25/ CD
3 CD's$40.00 = 13.3333... $13.33/ CD
The 2 pack of CD's is a better buy because it
costs less CD.
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
$8/lb $8.50/lb $9/lb**16 oz = 1 lb
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
5 2
yy
x x
* Remember: The C.O.P. (Constant of Proportionality) is the value of y when x = 1.
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
4 5
3
c = 3g$60
42 gallonsy
x
# of gallons
Cost
1 2 3 4 5
3691215
6 70 8
The Constant of Proportionality is the value of y when x = 1.
The graph repersents a proportional relationship because it is a straight line that passes through the origin.
Looking at the graph, when x = 1, y = 3. Therefore the constant of proportionality is 3.
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
1.2
23.5%
320 0.15
2825
325
OR 1
47 200
120%
83.3% OR 83 %13
350
112%
0.83
0.06
p 95
12 100
=
11.4 = p
1140 = 100p100100
15 b
60 100
=
25 = b
1500 = 60b6060
23115
= r 100
115115r = 20R = 20%Rate
#
115r = 2300
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
n 5.49
6 100
= 0.3294 = n
32.94 = 100n100100
5.49 + 0.33 = $5.82 per roll5.82 4 = 23.28
$23.28
Let n = sales tax per roll
n 192
25 100
=48 = n
4800 = 100n100100 Mary earned
$48 commission.Let n = amount of commission
n 85
15 100
=12.75 = n
1275 = 100n100100 Jenny paid $72.25 for the boots.
discount = $12.75Sale Price = 85 - 12.75 = 72.25
Let n = amount of discount
Let n = amount of tax n 99.50
7.5 100
=7.4625 = n
746.25 = 100n100100
The bicycle costs $106.96.
tax = $7.46Total = 99.50 + 7.46 = 106.96
n 350
12 100
=
42 = n
4200 = 100n100100 42 people will win a door prize.
Let n = # of people who win a door prize
Let R = % of question he got correct4260
= r 100
6060r = 70, R = 70%
60r = 4200 Robert got 70% of the
questions correct.
13.4975.99
= r 100 75.99
r = 17.7523... R ≈ 17.8%
75.99r = 1349 It was a 17.8%
decrease in price.75.99
Let R = % of decrease in price
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
n 22
5.25 100
=
1.155 = n
tax = $1.16
bill = 22+1.16 = 23.16
n 23.16
15 100
=
3.474 = n
tip = $3.47Total = 23.16+3.47
= $26.63
Let n = amount of tax Let n = amount of tip
Find the discount first:
n 300
= 30 100
90 = n
The discount is $90$300 - $90 = $210
Now find the sales tax on the discounted price:
n 210
= 8 100
16.8 = n
The tax is $16.80.$210 + $16.80 = $226.80
Let n = amount of discount Let n = amount of tax
I = PRTI = 4,000 (0.06) (3)I = 720Interest = $720
Evie will owe$720 interest.
T = 3 years
I = IP = $4,000R = 6% 0.06
I = PRT165 = P 0.045 165 = 0.03P
0.035500 = P
T = 8 months years
I = $165P = PR = 4.5% 0.045
You would have to invest $5500.2
3
23
0.03
0.75 11.75
= r 100
75 = 11.75r
6.3829... = r
Let R = % error
The percent error is about 6.4%.
Amount of error: 12.5 - 11.75 = 0.75
R ≈ 6.4%
Actual: 11.75 11.75 11.75
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
12
12
A = bh
A = (8) (5)
A = 20 ft2
A = bhA = (11.2) (5) A = 56 in2 1
2A = (b1 + b2)h
12
A = (2.3+1.6)1.3
A = 2.535 cm2
C = πdC = π 20C = 20πC = 20π mm
A = πr2
A = π (10)2
A = 100π
d = 20, so r = 10
A = 100π mm2
C = πdC = π 10C = 10π
C = 10π m
A = πr2
A = π (6)2
A = 36π
d = 12, so r = 6A = 36π in2
12 = r
The radius is 12mThe diameter is 24m
C = 2πr 24π = 2 π r 2π 2π
24π = 2 π r21
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
A B
A A = lwA = 15 8A = 120
B A = bhA = 12 6A = 36
12
12
Total Area = 120 + 36Total Area = 156 m2
2mTotal Area = A + B
AB
A A = lwA = 5 3 A = 15
BA = 4 3A = 12
Total Area = 15 + 12Total Area = 27 ft2
A = lw
5 ftTotal Area = A + B
AB
A A = lwA = 9 8 A = 72
BA = 5 2A = 10
Total Area = 72 + 10Total Area = 62 yd2
A = lw
Total Area = A - B8 yd
SA = 2lw + 2lh + 2wh = 2(15)(5) + 2(15)(10) + 2(5)(10) = 150 + 300 + 100
= 550
SA = 550 m2
l w
h
V = lwhV = (15)(5)(10)
V = 750 m3
22
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
V = lwh13
V = (5)(7)(12)13
V = 140 in3
V = ( bh)h12
V = ( 12 8) 1512
V = 720 ft38
1215
23
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
24
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
heads
tails
heads
tails
headstails
headstails
heads
tails
headstails
headstails
8 possible outcomes
skirtsblousesx3 4 = 12 12 outfits
5 Total = 20 pens
1
=20 4 7 20
3 + 4
0 20
= 0 (impossible) 3 20
3 + 0 20 20
1 3 20
0 20
0 (impossible)(certain)
5 + 3 + 8 + 4=
5 20
4 20
1 20
= 5 20
4 19
1 19
= 3 20
8 19
1 57
= 5 18
8 20
3 20
3 50
=
25
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
108
67
3
Total = 34
10 34
= n 500
5000 = 34n3434
n = 147.0588...
About 147 people would like comedies.
158 9
sum of terms # of terms
= 17.5
11, 12, 15, 17, 18, 19, 20, 21, 25
median = 18mode = none
meanmean = 17.5
medianrange 25 - 11 = 14 range = 14
41 10
sum of terms # of terms
= 4.1
2, 2, 3, 3, 3, 4, 5, 6, 6, 7median = 3.5mode = 3
mean mean = 4.1
median
range 7 - 2 = 5range = 5
2, 2, 3, 3, 3, 4, 5, 6, 6, 7mode
26
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
18 26 21
213 10
= 21.3
18, 18, 20, 21, 21, 21, 22, 22, 24, 26
mean
median
range 26 - 18 = 821.3 21 8
14 15 16 17 18 19 20 21 2322 24 25 26 27 2815 27
15, 21, 22, 22, 23, 24, 272221 24
24 - 213
27 - 1512
mean = 154 7
= 22 |22 - 15| = 7 |22 - 23| = 1|22 - 21| = 1 |22 - 24| = 2|22 - 22| = 0 |22 - 27| = 5|22 - 22| = 0
MAD = 16 7
= 2.2857... MAD ≈ 2.3 27
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
scale: 1 cm = 4 m
12 cm
9 cm
length = 12 cm; width = 9 cm
Length:
48 = x1 1
48 = 1x 1 4
12 x
=Width: 1 4
9 x
=36 = x1 1
36 = 1x
length = 48m width = 36m
Area = lwA = 48 x 36 A = 1728 m2
scale: 1 cm = 12 m
3 cm4 cm
solve for length
1 12
x 48
=
4 = xlength = 4 cm
solve for width
1 12
x 36
=
3 = x
width = 3 cm
12 1248 = 12x
12 1236 = 12x
AIt's median time is 5 minutes faster, it also has a lower range and IQR (interquartile range)
50%75%
is 5 minutes faster, it also has a lower range and IQR (interquartile range) so it's data are more clustered together.
A It's median time
28
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7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016
x 6
28 8
=21 = x
168 = 8x8 8
21 ft
big little 12
28 9 x
=21 = x
252 = 12x12 12
21 ft
little big
50 125
complementary
x = 37.52
x + x + 15 = 90
- 15
2
2x + 15 = 90
2x = 75- 15
37.5 + 15= 52.5
37.5
x = 54.54
x - 38 + 3x = 180
+ 38
4
supplementary
4x - 38 = 180
4x = 218+ 38
54.5 - 38= 16.5
3 54.5= 163.5
36
2x x = 272
90 + 36 + 2x = 180
- 126
2
2x + 126 = 180
2x = 54- 126
29