Here, the “2” is the base .
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Transcript of Here, the “2” is the base .
Here, the “2” is the base.
The base is the thingthat gets repeated.
The “9” is the exponent.
The exponent tells us howmany times to repeat it.
Therefore, 29 is actually
2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 , which is 512.
Simply type 2^9 to get 512.^ yx
Most calculators have an exponent key.It usually looks like or .
Since we have a right triangle, we can use the Pythagorean Theorem!
162 + 302 = (pathway)2
256 + 900 = (pathway)2
1156 = (pathway)2
length of pathway = 34 feet
If you take the square root on yourcalculator, you’ll get…
1156 = 34
The easiest way to attack a problem like this is to plug in the values and eliminate the wrong answer choices.
5.50 = 2(2) + 35.50 = 2.5(2) + 0.55.50 = 2.25(2) + 15.50 = 2(2) + 2
5.50 = 75.50 = 5.55.50 = 5.55.50 = 6
8.00 = 2.5(3) + 0.58.00 = 2.25(3) + 1
8.00 = 88.00 = 7.75
Only two of theseformulas still
work!
Now try the next set of values…
Therefore, choices A and D
are wrong.
This is a tricky question if you don’t read it
carefully.
Notice that they ask us for the experimental probability, not the
theoretical probability.
The theoretical probability actually is 1/6, but that’s a trick
answer here.
number of times the event occurstotal number of trials
=
1560
=
14
=
Remember the correctorder of operations:
~Parenthesis~Exponents~Multiplication & Division (L to R)~Addition & Subtraction (L to R)
20 – 6 4.20 24
-4
=
Start by setting up a blankproportion with your units labeled.
in. in.ft. ft.
¼1 L
42w
First, we’ll find the lengthof the kitchen…
…and now we’ll get the width:
¼ L = 4 . 4.4L = 16
Length = 16 feetWidth = 8 feet
¼ w = 2 . 4.4w = 8
Since the equation is already inslope-intercept form, this will be easy!
The +1 is they-intercept.
Graphs A & D don’t cross the y-axis there, so they must be incorrect.
x
x
The 2 is theslope. The graph needs to rise up 2 units, and move 1 unit to the right
each time.
: 1212
1 : 24Multiply both
sides by 2.
20.05
20.05
The mode is the most common number in the list.
65 appears three times in the list, so it’s the mode.
=23
6x
x
(2)(x) = (6)(3)
2x = 18
x = 9
p = 4t + 2
50 = 4t + 2- 2 = 4t - 2
48 = 4t
12 = t
4 4
Sal will need 12 tables.
-2 ÷ -4-2 ÷ -1-2 ÷ 1-2 ÷ 4
1/22
-2-1/2
Cleveland and Toledo both decreased by 7%, but they didn’t lose the same number of people.
In fact, Cleveland lost 37,000 people while Toledo only lost 24,000 people.
3(15)2t + = 67
He’ll need 2 of these.
He’ll need 5 of these.
He’ll need 3 of these.
($13)(2) = $26
($5)(5) = $25
($8)(3) = $24
$100 – 26 – 25 – 24 = $25At 2 lbs. for $9, salami is $4.50/lb.
$25 ÷ $4.50 = 5.55 lbs. He can afford 5 lbs. of salami.
$100 – 26 – 25 – 15 = $34
He can now afford 7 lbs. of salami.$34 ÷ $4.50 = 7.55 lbs.
Now the cheese is ($2.50)(6) = $15.
6’
5’
Since there are 12 inches in 1 foot, it would take 4 of
these tiles to make a foot.
1 ft.
24 tiles = 6’
20 tiles = 5’
(24)(20) = 480
The angles in a triangle always add up to 180o.
180 – 25 – 50
105
Simply start with 180o and subtract the angles that you already know.
5a + 5a + 5b
10a + 5b
Top: (3)(8) = 24Bottom: (3)(8) = 24Left: (9)(8) = 72Right: (9)(8) = 72Front: (3)(9) = 27Back: (3)(9) = 27
246 in2S. Area =
Each side has an area of 36 in2.
216 in2S. Area =
366x
This cube also has a volume of 216 cubic inches, but its surface area is less.
6 in.6 in.
6 in.
15% of $12 would be…
(.15)(12) = $1.80
1.8012.00
10.20
15% off means that the store pays 15% of the price, and the customer pays the remaining 85%.
$1507x
$1050+ 430 bonus
$1480 total pay
$1480 ÷ 8 = $185
New average = $185Old average = $150
up by $35
3” 3”
7”
.
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 == 864 in2
(36)(24)
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
144,000x .057,200
adding 6 each time
adding 3 each timeadding 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.
These are the lowest scores.
Player A’s Averages(with Game #1) (without Game #1)
Player B’s Averages(with Game #1) (without Game #1)
8890869298+
458890869298+
7865627472+
507865627472+454
499351
401÷ 6÷ 5
÷ 6÷ 5
83.2 66.890.8 70.2
Dropping the lowest score increases Player A’s average by 7.6, while Player B’s average only goes up by 3.4 points.
+7.6 +3.4
First, turn this intoan improper fraction.
2136 2
1 =
213
41
813
1 85
813 =
Finally, turn it back into a mixed number.
Then, take 1/4 of this value.
8 possible options
…but only one way to do this.
y = -2x + 7
y = -2(0) + 7
When x = 0, y = 7
y = -2x + 7
y = -2(3) + 7
When x = 3, y = 1
y = -6 + 7y = 0 + 7
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
58
h32
(8)(h) = (5)(32)
8h = 1608 8h = 20
Volume = (L)(W)(H)
New Volume = (L)(3W)(2H)
= 6 (L)(W)(H)
This PowerPoint presentationbrought to you by
Mr. Jeff LuceBeachwood Middle School
Enjoy and good luck!