Circles and Complex Shapes
Proportional Relationships and Percentages
Solving Equations/Inequalities
Triangles Galore!
Mr. Benner
100

If the radius of a circle is 15 cm, what is its diameter?

30 cm

100

What is 20% of 50?

10

100

Solve for x.

2x + 10 = 20

x = 5

100

What is the name of a triangle whose sides and angles are all equal?

Equiangular Equilateral

100

What sport(s) does Mr. Benner play?

Volleyball and Tennis

200

The distance from the tip of a slice of pizza to the crust is 6 inches. 

Calculate the diameter and circumference of the whole pizza. (use the pi button on the calculator - round to the nearest tenth)

c = π(pi) d

Diameter: 12 inches

Circumference: 37.7 inches

200

50 is what percent of 80?

62.5%

200

Solve and graph the following inequality.

2p − 4p ≤ −2

x≥ 1

200

What is the name of the pair of angles which are located on the opposite sides of two intersecting lines and are always equal in measure?

Vertical angles

200

What is my brother's name?

John

300

A horse is tied with a 10-foot-long rope to a pole on a grassy field. How much grass does the horse have access to?

Use the pi button on the calculator

314.16 square feet

300

Acadia National Park charges a $5 fee for cars and a $2.00 fee per visitor. Is this a proportional relationship?

No (does not go through the origin) - the amount of visitors is not proportional to the cost.

300

Solve the following equation:

75 = 3(−6n − 5)

x = -5

300

What is the name of a triangle with the following and side measures?

Angles: 120° , 50° , 10° 

Sides: 10 cm, 7 cm, 3 cm

Obtuse scalene

300

What is Mr. Benner's order from Dunkin Donuts?

A medium iced coffee - two milk, two liquid cane sugar

Coffee roll

400

A half circle is joined to an equilateral triangle whose sides are each 10 units long. What is the perimeter of this shape?

Use the pi symbol

5pi + 20 units

400

A store sells a 3-pack of markers for $3. 15 and a 5-pack of markers for $5. 40. Which pack of markers is a better deal?

The 3 Pack - each marker costs $1. 05

400

Solve and graph the following inequality

−2(b + 1) + 4 < 10

x > -4

400

Figure out the following angle measure (Mr. Benner will draw)

x = 14° 

400
Name one of four of Mr. Benner's pigs that he showed in high school.

Betsy, Ajax, Missy, Miss Tea

500

Find the area of the shape below (Mr. Benner will draw). Use the pi symbol)

Make sure label is square feet

500

A machine makes a proportional amount of lollipops in a minute. If it is able to make 30 lollipops in 3 minutes, how long will it take to make 75 lollipops?

7.5 minutes

500

Solve the following equation

−16 + 5n = −7(−6 + 8n) + 3

x = 1

500

Solve for both X and Y (Mr. Benner will draw)

x = 54° 

y = 39°

500

What day is Mr. Benner's birthday?

July 19th

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