Pythagorean Theorem
Geometric Operations
Solid Figures
Composite figures
Equations
Just for fun
100
If a = 2cm, c = 10 cm, find b in the following right triangle.
9.8 cm
or
4√6
100
One side of a square is 5 cm. what is the perimeter of the square?
What is the area?
P = 20
A = 25
100
Given this rectangular prism with length = 2.5 m, width = 3.5 m, and volume = 52.5 m^3 , find the missing height of the prism:
6.0 m
100
What is the area of the following composite figure?
20 * 8 = 160
((3.14)(4)^2)/2 = 25.12
160 + 25.12 = 185.12
100
3x - 2 ≥ 4
x ≥ 2
100
-11 > -3x + 1 > - 17
X is between _________ and __________
4 < x < 6
200
Suppose there is a right triangle with legs that measure 7 cm and 11 cm. What is the measure of the hypotenuse?
√170 or 13 cm
200
The circumference of a circular flower bed is 56.55 feet. What is its radius? Round the answer to the nearest whole number.
R = 9
200
Given that the r = 1.25 m and the h = 2.25 m, find the surface area of the cylinder, rounded to the nearest tenth.
SA = 2πrh + 2πr^2
SA = 2(3.14)(1.25)(2.25) + 2(3.14)(1.25) ^2
27.475 = 27.5
200
What is the area of the shaded region? r = 1 ft.
10 * 4 = 40
(3.14) (1) = 3.14
40-3.14 = 36.86
200
Find the solution to the following system of linear equations:
y = 4
3x - 2y = 4
x = 4, y = 4
200
7(x + 3) + 17 = 10
x = - 4
300
Use the Pythagorean Theorem to determine the missing side of this right triangle.
√32/9
= (√32)/3
300
Calculate the area of this triangle, if b = 34.5 cm and h = 26.3 cm. Round the answer to the nearest tenth:
A = 453.7 cm
300
Given that the r = 4 cm and the s = 5 cm, find the surface area of the cone, rounded to the nearest hundredth.
SA = π(r)(s) + π(r)^2
SA = (3.14)(4)(5) + (3.14)(4) ^2
SA = 113.04 cm
300
Determine the surface area of this composite figure:
72
300
What is the line of symmetry of this quadratic function?
x = -1
300
Determine the factors of the following quadratic function:
x^2 - 13x + 36
(x - 9) (x - 4)
400
Jeremy walks 5 feet to the east from the base of a house. At that point, it is 20 feet from Jeremy's position to the top of the house. Approximately how tall is the house?
Round the answer to the nearest tenth.
5^2 + b^2 = 20^2
19.36
400
What is the measurement of each interior angle of a square?
90 degrees
400
If length = 4 cm, width = 3 cm, and height = 12 cm, calculate the surface area of the prism.
(4 * 3) + (3 * 12) + (12 * 4) = 96 * 2 = 192
400
A mall is redesigning a section of the food court that will expand the size of the eating space. This design will be painted on the floor in the new eating area. What is the area of this design? Round to the nearest hundredth:
Circles (1.5) = π (5)^2 =78.5*1.5 =117.75
Triangle = A = 1/2 b h
A = 1/2 (30)(30-5)
A = 375
375 + 117.75 = 492.75
400
Which of the following is a solution to this system of linear equations?
3x - y = 8 and x + 2y = 5
A. (-3, 1)
B. (1, 3)
C. (3, 1)
D. (-1, 3)
C (3, 1)
400
Determine the solutions of the following quadratic function:
x^2 - 9 = 0
x = -3 and x = 3
500
Larry is a forest ranger and knows a tree is 60 feet tall. He walks east 20 feet. He needs to hook a line from the top of the tree to where he stops walking. Approximately how long of a line will he need? Round to the nearest hundredth.
63.245 = 63.25 feet
500
I have a rectangle. The area is 45 ft^2 . Identify a possible height and width of the rectangle.
Any factors of 45.
1 & 45
3 & 15
5 & 9
500
What is the perimeter of the composite figure?
10 + 10 + 8+ 8 = 36
500
Calculate the perimeter of the figure:
20 + 20 + 34 + 34 = 108
500
Solve the following linear equation by isolating the variable x:
- ( 7 - 4x) = 9
x = 4
500
Find the solution to the following system of linear equations:
4x + 3y = 16
-4x + 6y = 2
x = 5/2 and y = 2
600
What is the distance between (-3, 5) and (4, 1)? Round to the nearest tenth.
4^2 + 7^2 = 65
√65 = 8.06
8.06 = 8.1
600
Larry has a garden that is in the shape of a rectangle with a length of 8 m and a width of 5 m. He is going to make a 2 m border around the garden. He wants to put down wood chips to cover the border, and a bag of wood chips can cover 4 m^2 . How many bags will he need to purchase to cover the border?
12 * 9 =108 Garden + 2 m border
8 * 5 = 40 Garden
108-40 = 68
divided by 4 (each bag) 17 bags
600
Barry is a city worker and is in charge of putting sand on the playground, which has a picnic shelter in the middle. He has bags of sand and each bag can cover 2 ft^2 of ground. Each bag costs $1.19. How much will it cost for the sand?
240-16 = 224
divided by 2 = 112
multiplied by $1.19 = $133.28
600
An ice cream shop is distributing ice cream cone-shaped flyers around town to promote their grand opening. What is the area of this flyer?
A = 1/2 b h
A = .5(11)(5)
A = 27.5
A = (π(r)^2)/2
A = 9.8125
9.8125 + 27.5 = 37.3125
600
Determine the zeros of the following quadratic function:
x^2 - 8x - 20 = 0
A. (10, 0) and (2, 0)
B. (10, 0) and (-2, 0)
C. (5, 0) and (4, 0)
D. (-5, 0) and (-4, 0)
B. (10, 0) and (-2, 0)
600
Solve this system of linear equations. You may graph or substitute to find the solutions.
y = x - 4
y = 2 - x
(3, -1)