1. Using the Property of Equality, what first step would you take to rearrange the formula y=mx+b

Question

using x as the quantity of interest?(1 point)
Responses

Divide both sides by m
Divide both sides by m

Divide both sides by y
Divide both sides by y

Subtract mx from both sides
Subtract mx from both sides

Subtract b from both sides of the equation
Subtract b from both sides of the equation
Question 2
2. Which of the following is an example of using the Division Property of Equality to rearrange the equation PV=nRT
?(1 point)
Responses

n=PVRT
n is equal to cap p cap v over cap r cap t

R=PV−nT
cap r is equal to cap p cap v minus n cap t

T=PVnR
cap t is equal to cap p cap v n cap r

R=nTPV
cap r is equal to n cap t over cap p cap v
Question 3
3. Given the formula for the circumference of a circle, C=2πr
, how would you rearrange the formula if you were interested in finding the radius of the circle?(1 point)
Responses

r=2πC
r=2πC

r=C2π
r is equal to cap c over 2 pi

r=Cπ
r is equal to cap c over pi

r=Cπ2
r is equal to cap c pi over 2
Question 4
4. Given the formula for the volume of a box, V=lwh
, which equation best represents the remaining units when justifying your rearrangement to solve for the width?(1 point)
Responses

in. = in.
in. = in.

in.3in.2=in.

in.3in2=in.3in.2

in.3=in.3
Question 5
5. Consider the formula that relates distance, velocity, and time (d=vt)
. If you are interested in the time it takes for a ladybug traveling at a speed of 3 inches per second to crawl up a 10-foot section of a wall, which unit conversion makes the most sense to use?(1 point)
Responses

Converting feet to inches by dividing 10 feet by (12 inches)1foot
Converting feet to inches by dividing 10 feet by (12 inches)1foot

Converting feet to inches by multiplying 10 feet by (12 inches)1 foot
Converting feet to inches by multiplying 10 feet by (12 inches)1 foot

Converting feet to inches by multiplying 11 feet by (1 foot)12 inches
Converting feet to inches by multiplying 11 feet by (1 foot)12 inches

Converting feet to inches by multiplying 10 feet by 12

Answer 1

Here are the answers and explanations for each question:

Question 1: Rearranging the formula y = mx + b
To isolate x, the first step is to subtract b from both sides of the equation.

Response:

• Subtract b from both sides of the equation

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Question 2: Using the Division Property of Equality with PV = nRT
To express n in terms of the other variables in the equation, you divide both sides by RT to isolate n.

Response:

• n = PV / RT

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Question 3: Rearranging C = 2πr to find the radius r
To solve for r, you would divide both sides of the equation by 2π.

Response:

• r = C / (2π)

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Question 4: Justifying rearrangement to solve for width in V = lwh
When isolating width (w), you would analyze the units to confirm that in³ is a valid volume unit.

Response:

• in³ = in³

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Question 5: Unit conversion for distance, velocity, and time (d = vt)
When dealing with a distance of 10 feet and converting to inches, it makes sense to divide by the conversion factor because we need to express feet in terms of inches.

Response:

• Converting feet to inches by dividing 10 feet by (12 inches/1 foot)

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Feel free to ask if you need further explanations or assistance!