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Scale Factor
Proportional Relationships
Circles
Integer Operations (No Calculator)
Solving 2-step equations & inequalities (No Calculator)
100

A rectangle is 4 cm wide and 6 cm long. A similar rectangle has a width of 8 cm. What is the scale factor?

2 

(8 ÷ 4)

100

A recipe uses 2 cups of flour for every 3 cups of sugar. Is this a proportional relationship? 

Yes, because the ratio 2:3 is constant. 

100

What is the radius of a circle with a diameter of 10 cm?

5 cm 

100

-3 + 7

4

100

2x + 5 =11

x = 3

200

A triangle has a side length of 5 in. Its scaled copy has a side length of 15 in. What is the scale factor? 

3

(15 / 5 ) 

200

If 5 notebooks cost $12.50, how much would 8 notebooks cost at the same rate? 

$20

C.O.P = $2.50 

200

Find the circumference of a circle with a 7 cm. Use 3.14 for pi. 

C = 43.96 cm 


C = 2 X 3.14 X 7 

200

-6 - 4

-10

200

3x - 4 = 8

X = 4

300

A model car is built with a scale factor of 1 :18. If the model car is 10 inches wide, what is the actual car? 

180 inches 

(10*18) 

300

Zara filled up her car with 15 gallons of gas. If Zara paid $33.00, what was the price per gallon of gas?


$2.20 per gallon 

300

A circle has a diameter of 12 inches. What is the area? Use 3.14 for pi. 

A = 113.04 in2

A = r2 X 3.14 

300

-3 X 5

-15

300

5x - 3x + 2 - 10 = 20 

x = 14

400

A photo is enlarged using a scale factor of 2.5. If the original is 4 inches wide, what is the width of the enlarged photo? 

10 inches 

(4 * 2.5) 

400

Determine whether the following points form a proportional relationship: (1, 3) (2, 6) (3, 8) 

Explain why or why not

No, they do not have the same constant of proportionality.

400

The circumference of a circle is 31.4 cm. What is the diameter? Use 3.14 for pi 

10 cm

400

4 + (-7) X 2

-10

400

Solve & graph 

3x - 7 < 11

x < 6 


graph: open dot on 6 & line goes towards all numbers less than 6 

500

A blueprint has a scale of 1 inch = 4 feet. If a wall on the blueprint is 3.5 inches long, what is the actual length of the wall? 

14 feet 

(3.5 * 4) 

500

A graph shows a line passing through the origin and (4, 10). Write an equation that represents this proportional relationship. 

y = 2.5x 

500

A bike wheel has a radius of 14 inches. How far will it travel in one complete rotation? 

87.92 inches 

14 X 3.14 X 2 

500

[ (-2) X (-3) ] + [4 - (-5)]

15

500

Solve & graph 

-4x + 5 > 1

x < 1

graph: open dot on 1 & line goes towards all numbers less than 1