EOC Equations (Units)

Convert 309 yards to feet.

(1 yard = 3 feet)

(do not include units in answer)

Mathematical Equivalence

ON

Answer explanation

Start unit = yards

Final unit = feet

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Conversion factor(s):

1 yard = 3 feet

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Must use conversion factor by placing original units on bottom and new units on top

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Notice that original units cancel out, which leaves us with new units

Convert 5 hours to minutes.

(do not include units in answer)

Mathematical Equivalence

ON

Answer explanation

Start unit = hours

Final unit = minutes

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Conversion factor(s):

1 hour = 60 minutes

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Must use conversion factor by placing original units on bottom and new units on top

----- ----- ----- -----

Notice that original units cancel out, which leaves us with new units

Convert 45 miles per hour to feet per minute.

(1 mile = 5280 feet)

(do not include commas or units in answer)

Mathematical Equivalence

ON

Answer explanation

Start unit = miles/hour

Final unit = feet/minute

----- ----- ----- -----

Conversion factor(s):

1 hour = 60 minutes

1 mile = 5280 feet

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Must use conversion factor by placing original units on bottom and new units on top

----- ----- ----- -----

Notice that original units cancel out, which leaves us with new units

Answer explanation

Recall exponent keywords:

Squared meters means m²

Cubic meters means m³

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Units are kilograms divided by cubic meters, so we need an exponent of 3 on bottom of fraction

What is the perimeter of the rectangle in centimeters?

(1 m = 100 cm)

(do not include units in answer)

Mathematical Equivalence

ON

Answer explanation

Step 1: convert all sides to same units (see picture)

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Step 2: add all 4 sides (DO NOT make mistake of adding only two sides)

p = 40 + 40 + 200 + 200

p = 480

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Perimeter is 480-cm

What is the perimeter of the rectangle in meters?

(1 m = 100 cm)

(do not include units in answer)

Mathematical Equivalence

ON

Answer explanation

Step 1: convert all sides to same units (see picture)

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Step 2: add all 4 sides (DO NOT make mistake of adding only two sides)

p = 0.4 + 0.4 + 2 + 2

p = 4.8

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Perimeter is 4.8-m