Question

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

Subtract mx
𝑚
𝑥
from both sides.
Subtract m x from both sides.

Divide both sides by m
𝑚
.
Divide both sides by m.

Divide both sides by y
𝑦
.
Divide both sides by y.

Subtract b
𝑏
from both sides of the equation.
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
𝑃
𝑉
=
𝑛
𝑅
𝑇
?(1 point)
Responses

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

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

n=PVRT
𝑛
=
𝑃
𝑉
𝑅
𝑇
n is equal to cap p cap v over cap r cap t

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

r=C2π
𝑟
=
𝐶
2
𝜋
r is equal to cap c over 2 pi

r=2πC
𝑟
=
2
𝜋
𝐶
r=2πC
𝑟
=
2
𝜋
𝐶

r=Cπ
𝑟
=
𝐶
𝜋
r is equal to cap c over pi

r=Cπ2
𝑟
=
𝐶
𝜋
2
r is equal to cap c pi over 2
Question 4
Sammy wants to calculate the time it takes for a ladybug traveling at a speed of 3 inches (in.) per second (sec.) to crawl a distance of 10 feet (ft.).

Starting with the formula d=rt
𝑑
=
𝑟
𝑡
, Sammy rearranges the formula to highlight time, t
𝑡
, as the quantity of interest.

t=dr
𝑡
=
𝑑
𝑟

Sammy substitutes the values for rate and time into the formula t=dr
𝑡
=
𝑑
𝑟
and simplifies to calculate the time.

t=10ft.3in.sec.
𝑡
=
10
𝑓
𝑡
.
3
𝑖
𝑛
.
sec
.

t≈3.3 sec.
𝑡
≈
3.3

sec
.

Sammy determines it takes the ladybug about 3.3 sec. to travel 10ft.

What mistake did Sammy make?

(1 point)
Responses

Sammy needed to convert 3 in. per sec. to in. per minute (min.) by multiplying by 1 min.60 sec.
1

min
.
60

sec
.
before substituting.
Sammy needed to convert 3 in. per sec. to in. per minute (min.) by multiplying by 1 min.60 sec.
1

min
.
60

sec
.
before substituting.

Sammy did not isolate t properly. He should have used t=rd
𝑡
=
𝑟
𝑑
Sammy did not isolate t properly. He should have used t is equal to r over d

Sammy needed to convert 3 in. per sec. to 36 in. per sec. by multiplying by 12 in.1 ft.
12

𝑖
𝑛
.
1

𝑓
𝑡
.
before substituting.
Sammy needed to convert 3 in. per sec. to 36 in. per sec. by multiplying by 12 in.1 ft.
12

𝑖
𝑛
.
1

𝑓
𝑡
.
before substituting.

Sammy needed to convert 10 ft. to 120 in. by multiplying by 12 in.1 ft.
12

𝑖
𝑛
.
1

𝑓
𝑡

Answer 1

Here are the correct choices:

1) Subtract b from both sides of the equation.
2) n = PV / (RT)
3) r = C / (2π)
4) Sammy needed to convert 10 ft. to 120 in. by multiplying by 12 in./1 ft.