Proportional Relationship
Areas
Volume
Circles
Equations & Inequalities
100
If 2/5 = x/15, what is the value of x?
(Write on board for clarity of setup)
x = 6
100
What is the area of a rectangle with a length of 6cm and a width of 7cm?
6 x 7 = 42cm2
100
What is the difference between the formulas for the volume of a prism and the volume of a pyramid?
Prism: V= Bh
Pyramid: V=1/3Bh
The pyramid formula has 1/3 in it where the prism formula does not.
100
What is the diameter and radius of a circle?
BONUS: How can you find the radius if given diameter?
Diameter: a straight line segment that passes through the center of the circle and has endpoints that lie on a circle
Radius: the distance from the center of a circle to a point that lies on the circle
BONUS: Divide the radius by 2; r=(d/2)
100
Solve for x:
8x - 55 = 41
x = 12
200
A recipe uses 3 cups of flour for every 4 cups of sugar. If you want to use 9 cups of flour, how many cups of sugar should you use to keep the same proportion?
12 cups of sugar
200
What is the area of the following triangle?
12 cm2
A = 1/2 x 6 x 4 = 1/2 x 24 = 12 cm2
200
What is the volume of this cube?
343 in3
V= Bh = (7 x 7) x 7 = 343 in3
200
What is the radius of this circle?
r = 9in
200
What does the m represent in our slope-intercept form?
y = mx + b
Rate of change
300
In a survey, 12 out of 30 students prefer chocolate ice cream. If there are 50 students in total, how many would you expect to prefer chocolate ice cream if the proportion stays the same?
20 students
300
What is the total area of this shape?
400 ft2
300
A small box is shaped like a rectangular prism. If the box is 8 in long, 5 in wide, and 3 in tall, how many cubic feet of supplies can it hold? Show your work.
120 in3
V = Bh = (8 x 5)h = (40) x 3 = 120
300
What is the circumference of the following circle? Use 3.14 for pi.
31.4 cm
300
Solve for x:
402 = 32x + 50
x = 11
400
A bag contains red and blue marbles in a ratio of 3:7. If there are 21 blue marbles, how many red marbles are there?
9 red marbles
400
What is the area of the following trapezoid?
32 cm2
A = 1/2(12+5) x 4 = 32 cm2
400
A tent is shaped like a triangular prism. What is the volume of the tent?
Reminder: What shape is your base? Look at the name of the prism!
42 ft3
V = Bh = (1/2)bhtriangle x hprism = (1/2)(4 x 3) x hprism = 6 x 7 = 42
400
What is the area of this circle? Use 3.14 for pi.
A = 3.14(72) = 153.86 cm2
400
Solve for x:
7x + 22 - 2x - 62 = 40
x = 16
500
A store sells pencils in packs. The ratio of the number of pencils to the price in dollars is 8:3. If you want to buy enough packs to get 20 pencils, how much will it cost?
$7.50
500
This is the blueprint for a new room being built. What is the total area of the room?
117 m2
500
A student built a square pyramid for a class project. What is the volume of the the pyramid he built?
32 cm3
V = (1/3)Bh = (1/3)(4 x 4) x 6 = (1/3) x 96 = 32
500
A park is measuring the land around the lake. The lake has a radius of 4 miles, and the land is estimated to have a length of 22 miles and a width of 9 miles. How much area of the park is not from the lake? Use 3.14 for pi.
147.76 mi2
500
Solve for x:
18x + 14 = 18 + 10x
x = 0.5