Given the definition: a formula is this type of equation
What is the term?
literal equation
100
m/k=x for m
m=xk
100
F=9/5 C +32 for C
C=5/9 (F-32)
100
5x+24=2x+15
-3
100
Using the formula d=rt for t. Find the time in hours that it would take Andersen to travel 26.2miles if his average speed is 18mph.
d/r=t therefore
26.2/18=1.46h
200
Given this definition: a letter used to represent an unknown quantity
What is the term?
Variable
200
T+L=Y for L
L=Y-T
200
V=lwh for w
w=V/(lh)
200
9x-8+4x=7x+16
4
200
The formula for an objects final velocity is f=i-gt, where i is the initial velocity, g is the acceleration due to gravity, and t is time. Solve for i.
i=f+gt
300
Given the definition: the answer(s) to a math problem.
solution
300
-2=4r+s for s
s=-2-4r
300
C=2(3.14)r solve for r
r=C/2(3.14)
300
3(2x-1)+5=6(x+1)
no solution
300
The formula a=46c gives the floor area a in square meters that can be wired using c circuits. In a room 322 square meters, how many circuits are required to this room?
7 circuits
400
Given the definition: a statement that two quantities are not equal. They are compared using signs.
Inequality
400
m/n=p-6 for n
n=m/(p-6)
400
P=2l+2w solve for w
w=(P-2l)/2
400
6-2x-1=4x+8-6x-3
All Real Numbers
400
Describe a situation when a formula can be used more easily if it were "rearranged". Include the formula in your description.
Answers vary
500
Given the definition: a numbers distance from zero.
What is the term?
Absolute value
500
(x-2)/y=z for y
y=(x-2)/z
500
y=mx+b solve for m
y=(y-b)/x
500
28-0.3y=0.7y-12
40
500
How is a-ab=c different than problems in this lesson? How would you solve for a? What would the answer be?
Distributive property would make a(1-b)=c then divide both sides by 1-b to get a=c/1-b