rule
Perimeter and area
Algebra simplify
Area of prisms and pyramids
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 nonagone with a side measuring 4 cm ?
The perimeter is 9 x 4 = 36 cm
100
Find the simplest algebraic expression for the perimeter of a triangle with sides:
1.2a, o.9a, 11.
Perimeter = 2.1a + 11
100
Find to total surface area
Base area + Lateral area = Total area
2 x bxh/2 + Perim of the base x h =
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?
The area is
A = P x a /2
400 x 25 / 2 = 5000 cm2
200
Find the Perimeter in the simplest form of a Pentagone with side mesuring 4x-2
Perimeter = 5(4x-2)
=20x-10
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 + x+4 + X+6 = 127
3x+ 10 = 127
3x = 117
x= 39 39+4 39+6
The sides are: 39 cm, 43 cm and 45 cm
300
Find the area
h= 8
c= 5x+2
b = 2x + 4
BD = 3x-1
DC = x
Area triangle = b x h /2
A = (3x-1 + x ) x 8 / 2
A = (4x-1) x 8 / 2
A = 32x-8 / 2
A = 16x-4
400
What is the rule?
Rule is : y = 1.5 x
400
Find the area
Area is
bx h + bxh/2
6 x 7 + 5x3/2
42 + 7.5 = 49.5 mm2
400
Find the hight of
Formula: A Trapezoid = (B+b)h / 2
Plug in numbers: 78 = (13 + 6.4) h / 2
Solve: 78 = 19.4h / 2
156 = 19.4h
8.04 = h
height is 8.04
500
Bill works at a Water Park for the summer. His salary is 18.75$ per hour. He usually works 8 hrs per day. He wants to buy a moutain bike that costs 2400.00$. He already has 1200.00$ in his bank account. How many days does he need to work to pay 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
To make 2400.00$ = 150x + 1200
- 1200 -1200
1200.00$ = 150 x
/150 /150
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
Area big rectangle : Bxh : 52 x 32 = 1792 cm2
Area Rhombus : Dxd / 2 : 52 x 32 / 2 = 896 cm2
1792-896= 896 cm2 = 8.96 dm2
500
Find the algebraic expression of the blue area
A=bxh
A= (x+5)x
A= x2 + 5x
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