rule
Perimeter and area
Algebra simplify
Area of prisms and pyramids
similarities
100

y = ax + b

what is the value of a 

What is the value of b

The value of a is the pattern

The value of b is y when x=0

100

What is the perimeter of a regular nonagon with a side measuring 4 cm ?

The perimeter is 9 x 4 = 36 cm

100

What is the simplified algebraic expression for the perimeter of a triangle with sides measuring 

1.1x cm, 0.9x cm and 11 cm. 

Perimeter = 2x+11 cm


100

Find to total surface area

Total area is 960 in2

100

Find the missing valued the missing value

BC =0.33 or 1/3


200


y=3x 

200

If a decagon has a side with an apothem of 25 cm and a perimeter of 400 cm. What is its area?

Area of the decagon is 5000 cm2

200

Find the Perimeter in the simplest form of a Pentagon with side measuring 4x-2 dm

Perimeter = 5(4x-2)

Perimeter = 20x-10 dm

200

A=____

AL =____

At =____

A= 14 cm2 x 2 = 28 cm

Al = 234 cm2

A= 262 cm2

200

What is the ratio if?


300

To fix your refrigerator, the technician charges 80$ to go to your house and then charges 60$ per hour.

Show the rule of this situation?

Rule: y = 60x + 80

300

Deternine the side length if the perimeter is 127 cm


+ x+4 + X+6 = 127

3x+ 10 = 127

x= 39    

39+4   39+6

The sides are: 39 cm, 43 cm and 45 cm

300

What is the Area of this triangle

Area triangle = b x h /2

A = (x+3 + x ) x 8  / 2

A = (4x+3) x 8  / 2

A = 32x+24/ 2

A = 16x+12

300

A=____

AL =____

At =____


A= 53.29 cm

AL = 255.5 cm2

At = 308.79 cm2

400

What is the rule?

Rule is :  y = 1.5 x 

400

Find the area

Area is 49.5 mm2

400

Find the height of this trapezoid:  


400

What is the lateral area of an octogonal prism with sides measuring 4 cm and height is 19 cm ?

608 cm2

500

Bill works at a Water Park. He makes is 18.75$ per hour. He works 8 hrs per day.
He wants to buy a mountain bike costing $2400.00.
He has savings of 1200.00$.
How many days must he still work to pay for this bike? Find the rule to show your answer.

x is number of days

y is amount of money

In a day he makes: 18.75$/h x 8 h/day = 150$/day

Rule: y=150x + 1200

                  8     =   x          It would take 8 days

500

Find the area in dm2 of the shaded region if AP=26 cm ad QB=16 cm

The shaded area measures: 8.96 dm2


500

Find the algebraic expression of the blue area

A=bxh

A= (x+5)x

A= x2 + 5x

500

What is the total area of a pentagonal prism with sides measuring 6.3 cm, a height of 22 cm and apothem of 5.4 cm?

Total area = 863.10 cm2

500

Dilbert, Earl and Gladys are collecting rocks.

Dilbert has 16 les than the 3 quaters of Gladys. Earl has double the amount of Dilbert

All together they have 82 rocks, how many rocks does each one of them have?

Gladys :
x : 40 rocks
Dilbert: 3x/4 - 16 : 3x40/4 -16 =
14 rocks
Earl: 2(3x/4 - 16) = 3x/2 - 32 = 3x40/2-32=
28 rocks

x + 3x/4 - 16 +  3x/2 - 32 = 82
x + 3x/4  + 3x/2 = 130
4x + 3x + 6x =520
13x = 520
x= 40
Check: 40 + 14 + 28 = 82

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