Transcript Document

Here, the “2” is the base.
The base is the thing
that gets repeated.
The “9” is the exponent.
The exponent tells us how
many times to repeat it.
Therefore, 29 is actually
2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 , which is 512.
Most calculators have an exponent key.
It usually looks like
or yx .
^
Simply type 2^9 to get 512.
Since we have a right triangle, we
can use the Pythagorean Theorem!
162 + 302 = (pathway)2
256 + 900 = (pathway)2
1156 = (pathway)2
If you take the square root on your
calculator, you’ll get…
1156 = 34
length of pathway = 34 feet
The easiest way to attack a
problem
plug in
Now
try the like
nextthis
setisoftovalues…
the values and eliminate the
wrong answer choices.
Only two of these
Therefore,
formulas still
choices A and D
work!
are wrong.
5.50 = 2(2) + 3
5.50 = 7
8.00
= 2.5(3)
+ 0.5
8.00
5.50
= 2.5(2)
+ 0.5
5.50 = 85.5
8.00
= 2.25(3)
+ 1+ 1
8.00
5.50
= 2.25(2)
5.50 = 7.75
5.5
5.50 = 2(2) + 2
5.50 = 6
This is a tricky question
if you don’t read it
carefully.
=
Notice that they ask us
for the experimental
probability, not the
probability.
number of times theoretical
the event occurs
total number ofThe
trials
theoretical
=
15
60
=
1
4
probability actually is
1/6, but that’s a trick
answer here.
Remember the correct
order of operations:
~Parenthesis
~Exponents
~Multiplication & Division (L to R)
~Addition & Subtraction (L to R)
20 – 6 . 4
20
24
-4
¼ in.
1 ft.
=
42 in.
w
L ft.
Start by setting up a blank
proportion with your units labeled.
First, we’ll find the length
of the kitchen…
…and now we’ll get the width:
4 . ¼ L = 4 . 4 4 . ¼w = 2 . 4
w = 8
L = 16
Length = 16 feet
Width = 8 feet
Since the equation is already in
slope-intercept form, this will be easy!
The +1 is the
y-intercept.
x
Graphs A & D
don’t cross the yaxis there, so they
must be incorrect.
x
The 2 is the
slope. The graph
needs to rise up 2
units, and move 1
unit to the right
each time.
2
Multiply both
sides by 2.
0
.
0
5
1
2
0
.
0
5
: 12 2
1 : 24
The mode is the most common
number in the list.
65 appears three times in
the list, so it’s the mode.
x
2
3
=
6
x
(2)(x) = (6)(3)
2x = 18
x = 9
p = 4t + 2
50 = 4t + 2
- 2 = 4t - 2
48 = 4t
4
4
12 = t
Sal will need 12 tables.
-2
-2
-2
-2
÷
÷
÷
÷
-4
-1
1
4
1/2
2
-2
-1/2
In fact, Cleveland lost 37,000
people while Toledo only lost
24,000 people.
Cleveland and Toledo both
decreased by 7%, but they didn’t
lose the same number of people.
2t + 3(15) = 67
He’ll need 2 of these.
($13)(2) = $26
He’ll need 5 of these.
($5)(5) = $25
He’ll need 3 of these.
($8)(3) = $24
$100 – 26 – 25 – 24 = $25
At 2 lbs. for $9, salami is $4.50/lb.
$25 ÷ $4.50 = 5.55 lbs.
He can afford 5 lbs. of salami.
Now the cheese is ($2.50)(6) = $15.
$100 – 26 – 25 – 15 = $34
$34 ÷ $4.50 = 7.55 lbs.
He can now afford 7 lbs. of salami.
1 ft.
24 tiles = 6’
20 tiles = 5’
Since there are 12 inches in
1 foot, it would take 4 of
these tiles to make a foot.
(24)(20) = 480
6’
5’
The angles in a triangle
always add up to 180o.
Simply start with 180o
and subtract the angles
that you already know.
180 – 25 – 50
105
5a + 5a + 5b
10a + 5b
Top:
Bottom:
Left:
Right:
Front:
Back:
(3)(8) = 24
(3)(8) = 24
(9)(8) = 72
(9)(8) = 72
(3)(9) = 27
(3)(9) = 27
S. Area = 246 in2
This cube also has a volume of 216 cubic
inches, but its surface area is less.
Each side has an
area of 36 in2.
6 in.
6 in.
36
x 6
6 in.
S. Area = 216 in2
15% of $12 would be…
(.15)(12) = $1.80
12.00
1.80
10.20
15% off means that the store pays 15%
of the price, and the customer pays
the remaining 85%.
$150
x 7
$1050
+ 430
$1480
bonus
total pay
$1480 ÷ 8 = $185
New average = $185
Old average = $150
up by $35
7”
3”
3”
Both shapes appear as circles
when viewed from the top.
The cone’s vertex may appear
as a dot at the center.
.
When viewed from the front, the cone looks like a
triangle and the cylinder looks like a rectangle.
Area of rectangle = (36)(24)
= 864 in2
Area of triangle = ½(24)(24)
= 288 in2
The area of the other
triangle is also 288 in2.
Total area = 864 + 288 + 288
= 1440 in2
144,000
x .05
7,200
adding 6 each time
adding 3 each time
adding 4 each time
A function is linear if it’s increasing or
decreasing by the same amount each time.
Choice B is non-linear because it’s
being multiplied by 2 each time.
The spinner is 1/5 blue.
(120)(1/5) = 24
Player A would benefit the most.
Dropping the lowest score increases Player A’s average by
the B’s
lowest
scores.
7.6,These
whileare
Player
average
only goes up by 3.4 points.
Player A’s Averages
(with Game #1)
(without Game #1)
45
88
90
86
92
+ 98
88
90
86
92
+ 98
454 ÷ 5
499 ÷ 6
+7.6
83.2
90.8
Player B’s Averages
(with Game #1)
(without Game #1)
50
78
65
62
74
+ 72
78
65
62
74
+ 72
351 ÷ 5
401 ÷ 6
+3.4
66.8
70.2
First, turn this into
an improper fraction.
6 12
Then, take 1/4
of this value.
=
13
2
13
2
1
4
13
8
Finally, turn it back
into a mixed number.
13
8
=
1 58
…but only one
way to do this.
8 possible options
y = -2x + 7
y = -2x + 7
y = -2(0) + 7
y = -2(3) + 7
y = 0+7
y = -6 + 7
When x = 0, y = 7
When x = 3, y = 1
13 – (-1) = 14
13 – (-5) = 18
13 – (-8) = 21
Whenever you subtract a negative number, you end up
adding. That’s why all three answers are larger than 13.
Start by making
a proportion.
h
5
8
=
h
32
(8)(h) = (5)(32)
8h = 160
8
8
h = 20
Volume = (L)(W)(H)
New Volume = (L)(3W)(2H)
= 6 (L)(W)(H)
This PowerPoint presentation
brought to you by
Mr. Jeff Luce
Beachwood Middle School
Enjoy and good luck!