Unit
Conversions
Linear
Proportions
Ratios
Quadratic
Proportions
100

How many inches in 5 feet?

60 inches

100

 \frac{x}{8}=\frac{2}{16} 

x = 1

100

Write a simplified ratio the represents the following relationship:

6 Cookies sold for every 10 brownies sold.

3:5

100

\frac{x+1}{3}=\frac{4}{x+2}

x = -5, x = 2

200

How many seconds in a day?

86,400 Seconds

200

\frac{x+3}{6}=\frac{x-1}{10}

x = -9

200

Write a simplified ratio the represents the following relationship:

Mr. S averages 14 kills, 6 deaths, and 18 assists on the game Valorant.

7:3:9

200

\frac{x-3}{3}=\frac{1}{x-5}

x= 6, x= 2

300

A scale model of the Eiffel Tower has a ratio of 

 1 cm : 32 ft . If the Eiffel tower is 1024 ft tall, how tall is the scale model?

32 cm

300

x = 1

300

A set of supplementary angles has a ratio of 2:3. What is the measurement of the LARGEST angle?

108 degrees

300

solve for x. How many solutions are valid?


1 valid solution

x = 4, x = 12

400

There are 2.5 cm in 1 inch. 

There are 12 inches in 1 foot. 

There are 3 feet in a yard.

The deepest part of Fenway Park is 140 yards. How many centimeters in that?

39,600 centimeters

400

x = 4

400

A triangle has an angle ratio of 3:5:7. What is the measurement of ALL THREE angles?

36, 60, 84

400

\frac{x}{3}=\frac{x+2}{3x}

x=2, x=-1

500

A car lost 2 gallons after driving 55 miles. If the car has a 15 gallon tank, how far can it drive before needing to refill?

412.5 miles

500

A tree is 'x' ft tall and casts a 5ft shadow. A person near the tree is 6 ft tall and casts a 2ft shadow. How tall is the tree?

15 feet

500

A farmer needs to create an acute isosceles triangle barrier for his cattle. He wants the sides of the fence to have a ratio of 2:3. He has enough wood for 140 ft of fencing. Find the length of each side of the fence.

35, 52.5, 52.5

500

A laptop monitor is twice as wide as it is tall. A proportional desktop monitor is 2 inches taller than the laptop, and has a width of 30 inches. How tall is the laptop monitor?

13 inches

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