Age (months)

2 4 6 8 10

Weig

ht

(lb

s.)

3

6

9

12

15

18

This is a LINE GRAPH. It’s easy to see the baby’s weight changing as the

months go by.

Since Jill charges $25 per lawn each time,

the “25” will not have a variable next to it.$18 for each hour means that the “18”

should be multiplied by the “h”.

Then, we simply add the 18h and the 25 together to get the total charge.

Since all right angles must be 90o,

the yellow angle is also 45o.

The cube has 6 sides. Each side is equally likely to land facing up. The

probability of any number being rolled is 1/6.

Even though Leroy has rolled a “5” four times in a row, that won’t affect

the probability of his next toss.

5”

2”

cola

10”

4”

juice

Each can is a cylinder.

Volume = *r2 * h

Volume = *(1)2

* 5Volume = 5in3

Volume = *(2)2 *

10Volume = 40in3

The volume of the juice can is 8 times greater than the volume of the cola can.

When writing a number in scientific notation, you slip the decimal point in so that you’ve got a number

between 1 and 10.

Next, you see how far the decimal point needs to be moved in order to get it back to where it’s supposed to be. (Since we’re moving it to the LEFT, the exponent

will be NEGATIVE.)

When the shape is folded, these two segments will be joined

together.

Therefore, the circles and squares will need to be next to

each other.

500 boxes total

35boxes

35boxes

35boxes

Each day, he loses 35 boxes.

The area of this triangle = ½(3)(2)

= 3 cm2

Since there are four identical triangles, their

combined area is 12 cm2.

The red rectangle is 6 cm x 3 cm, so its area is 18 cm2.

The total area of the hexagon is 12 cm2 + 18 cm2 = 30 cm2.

Since Pedro actually made more money, the group’s mean will

increase.

The nice thing about this problem is that you don’t have to add all the numbers together

to solve it.

Once the mistake was fixed, Pedro had earned an extra

$16.Since there are 8 people in the group, that means we

could simply take 16 8 to find how much the group’s

mean increases by.

FigureShadedSquares

6

7

1

2

3

4

5

1

3

5

7

9

11

13

n 2n-1

Notice how the numbers on the left sideof the table go up by one, while the numbers

on the right side go up by two each time.

This tells us that the formula for findingthe number of shaded squares must involve

multiplication by 2.

If we multiply each number in the firstcolumn by 2, we’re always slightly too large. Subtracting 1 fixes this problem each time.Therefore, our formula for figure “n” is2n-1 shaded squares.

FigureShadedSquares

6

7

50

1

2

3

4

5

1

3

5

7

9

11

13

99

n 2n-1

= 2(50) - 1

= 99 shaded squares

Let’s convert them all to decimals…

7.75 7.625 7.071 7.82

7.827.071 7.625 7.75

Now, arrange them from least to greatest…

First, convert 18o C to Fahrenheit.

F = (9/5)(18) + 32

F = 32.4 + 32

F = 64.4o

Next, convert 7o C to Fahrenheit.

F = (9/5)(7) + 32

F = 12.6 + 32

F = 44.6o

The difference between high and low temperatures can be found by subtracting.

64.4o - 44.6o

19.8o F

Add 2Add 3Add 4Add 5

6

If we continue this pattern, here’s what the table would look like…

7

8

9

10

21

28

36

45

55

6

7

8

9

10

21

28

36

45

55

Other students may prefer to work with formulas.

( 4 )( 4+1 )

2

For example…

The number of cans can be found by using the formula( L )( L+1 )

2

( 4 )( 5 )

2= = 10

( 7 )( 7+1 )

2

( 7 )( 8 )

2= = 28

( 10 )( 10+1 )2

( 10 )( 11 )2

= = 55

The residents’ concern is about the traffic volume during the 4-6 PM rush hour period

only. It’s very possible

that this intersection may not be used much at all during the rest of

the day, so including non-rush hour data

will make the intersection seem

less busy.The department could get more accurate

data if they would only monitor the

intersection between 4-6 PM instead of

taking an overall daily average.

Parallel lines have the same slope.

The slope of RW is ¼.

Going up 1 block and over 4 blocks from point Q puts us at (-1,-3).

(As you can see, we’ve formed a parallelogram.)

0.4 meters

1.5 meters

h

Volume = (length)(width)(height)

0.75 = (1.5)(0.4)(height)

0.75 = (0.6)(height)

0.6 0.6height = 1.25 meters

The best way is to try each formula to see whether or not it works.

As luck would have it, choice A works all four times, so it’s the right

answer.

1.15 (3) = 3.45

1.15 (5) = 5.75

1.15 (8) = 9.20

1.15 (12) = 13.80

If choice A would have failed, we would have gone to choice B, then choice C, etc. The correct answer must work all 4 times.

(3)(5)(4) = 60 different meals

=meters meters

kg kg

First, make a proportion.Include units before you start.

507.5

x502.5

Next, cross-multiply and solve using Algebra.

(7.5)(x) = (50)(502.5)

7.5x = 25125

x = 3350

Revenue

Cost

13.60 x 5.80 x + 120>-5.80 x -5.80 x

7.80 x 120>

7.807.80

x > 15.3846

Frank must sell at least 16 frames in

order for his revenue to be greater than his

costs.

6 2

Dropping down an altitudeforms a 30o/60o/90o triangle.

68

=9n

6n = 72 n = 12

Often times, the best way to solve a problem like this is to pick an even number and an odd number and simply

try them out.

Let’s make x = 2 and y = 3.

2 + 2(3)

2(2) + 3

(2)2 + (3)2

(2 + 3)2

8

7

13

25

We’ll round the values offas we go…

Sun = 800

Mon = 350

Tue = 400

Wed = 350

Thur = 300

Fri = 400

Sat = 900

TOTAL = 3500

3500 customers

7 days= 500 each day

This is a volume problem.

V = (length)(width)(height)

V = (22)(9)(8)

V = 1584 in3

BE CAREFUL!This is not our final answer…

…and it happens to be a choice.DON’T BE FOOLED!

We need to take ¾ of 1584.

1188 in3

When an object travels at a constant rate, the graph will always be a straight line.

Let’s compare both situations and see

what the new salaries would be:

New Salaries

$500 raise 2% raise

To figure the 2% raise, multiply the current

salary by 1.02

$18,870$20,706$24,582

$18,500 * 1.02 = $18,870

$20,300 * 1.02 = $20,706

and so on…

The 34 employees with the lower salaries would be better off with the

$500 raise.The 30 employees with the

higher salaries would be better off with the 2% raise.

If these employees voted,

the $500 raise would be the likely winner.

$31,620$42,840$59,160$72,420

$19,000

$24,600$31,500$42,500$58,500$71,500

$20,800

15

We’ll draw a “line of best fit” through the data

points.

Since the line has a positive slope, it’s obvious that the

population is not going to decline or stay the same.

It’s unlikely that it will get above 120,000 in the next 10

years when it’s not even above 50,000 during the first

10 years.If we extend the line out, you can see from the graph that this is the obvious choice.

Starting from the shaded angle, label the 3 sides of the

triangle:OPP

ADJ

HYP

The sides we’re dealing with are the OPPOSITE and the

ADJACENT, so we’ll be using the TANGENT.

Since it’s a trig problem, we’ll be

usingSOH CAH TOA

tangent = opposite

adjacent=

4x

n = 687.5

3

n = 229.16666

Here are my estimates:

Superior = 31,000

Michigan = 22,000

Huron = 23,000

Erie = 10,000

Ontario = 8,000

Total = 94,000

If R and T are both midpoints, then SR = 14

and ST = 12.14 12

28 24

28

14 12

These 2 triangles are similar.

The orange triangle has sides which are twice as

long as the yellow triangle. Using this scale factor, the bottom side of

the yellow one is 14.

14

14 + 14 + 12 = 40

The final coordinates of the kite will be

P”(1, 3), Q”(2, 4), R”(1, 7), and S”(0,

4).

Some students may choose not to use a graph. Here’s what they’d need to do:

The final coordinates of the kite will be

P”(1, 3), Q”(2, 4), R”(1, 7), and S”(0,

4).

P(-2, -1) Q(-1, -2) R(-2, -5) S(-3, -2).

P”(1, 3) Q”(2, 4) R”(1, 7) S”(0, 4).

P’(-2, 1) Q’(-1, 2) R’(-2, 5) S’(-3, 2).

Reflecting the graph over the x-axis simply changes the signs on the y-

coordinates.

Translating the graph 3 units right and 2 units up requires us to add 3 to each x-coordinate and 2 to

each y-coordinate.

n2 - w2

q

(1/3)2 - (-6)2

2/3

Do the exponents

first.

1/9 - 36

2/3

Dividing by 2/3is the same as multiplying by

3/2.

1/9 - 54 = -53 89

Probability = Hispanic

malesTotal males

Probability = 76,660

5,215,573

Probability = 0.0146982891

day #1

60 MPH9 hoursx

540 milestraveled

- 540 miles on day #11244 miles total

704 miles to go

day #2704

miles11 hours= 64 MPH average

This presentation brought to you by

Mr. Jeff LuceBBHHS Mathematics Dept.