Question

1. Using the Property of Equality, what first step would you take to rearrange the formula y=mx+b
using x as the quantity of interest?(1 point)
Responses

Subtract b from both sides of the equation
Subtract b from both sides of the equation

Divide both sides by y
Divide both sides by y

Divide both sides by m
Divide both sides by m

Subtract mx from both sides
Subtract mx from both sides
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

R=nTPV
cap r is equal to n cap t over cap p cap v

T=PVnR
cap t is equal to cap p cap v n cap r
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=Cπ2
r is equal to cap c pi over 2

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
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.3in.2=in.

in.3in2=in.3in.2

in. = in.
in. = in.

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

Converting feet to inches by multiplying 10 feet by 12
Converting feet to inches by multiplying 10 feet by 12
Skip to navigation

Answer 1

Here are the answers for each of the questions based on the context provided:

**Question 1:**
Using the Property of Equality, what first step would you take to rearrange the formula \(y = mx + b\) using \(x\) as the quantity of interest?
- **Response:** Subtract \(b\) from both sides of the equation.

**Question 2:**
Which of the following is an example of using the Division Property of Equality to rearrange the equation \(PV = nRT\)?
- **Response:** \(n = \frac{PV}{RT}\) (n is equal to P times V over R times T)

**Question 3:**
Given the formula for the circumference of a circle, \(C = 2\pi r\), how would you rearrange the formula if you were interested in finding the radius of the circle?
- **Response:** \(r = \frac{C}{2\pi}\) (r is equal to C over 2 pi)

**Question 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?
- **Response:** \(in.3in.2 = in.\)

*(This one may seem a bit ambiguous without specific context regarding the units involved, but the response aligns with maintaining unit consistency.)*

**Question 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?
- **Response:** Converting feet to inches by multiplying 10 feet by \(12\) (i.e., \(10 \text{ feet} \times 12 \text{ inches/foot}\))

Feel free to ask if you have further questions!