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!