12 multiple-choice questions, progressively harder.
Solve A=lwA = lwA=lw for lll.
Solution
Correct answer: C
The length lll is multiplied by the width www, so divide both sides by www.
l=Awl = \frac{A}{w}l=wA
Solve x+a=bx + a = bx+a=b for xxx.
The letter aaa is added to xxx, so subtract aaa from both sides to undo it.
x=b−ax = b - ax=b−a
Solve x−a=bx - a = bx−a=b for xxx.
Correct answer: B
The letter aaa is subtracted from xxx, so add aaa to both sides.
x=b+ax = b + ax=b+a
Solve ax=bax = bax=b for xxx.
The coefficient of xxx is aaa, so divide both sides by aaa.
x=bax = \frac{b}{a}x=ab
Solve xa=b\dfrac{x}{a} = bax=b for xxx.
Correct answer: A
The variable xxx is divided by aaa, so undo that by multiplying both sides by aaa.
x=abx = abx=ab
The perimeter of a square is P=4sP = 4sP=4s. Solve for the side length sss.
Correct answer: D
The perimeter is four times a side, so divide both sides by 444.
s=P4s = \frac{P}{4}s=4P
Solve y=x−cy = x - cy=x−c for xxx.
The letter ccc is subtracted from xxx, so add ccc to both sides.
x=y+cx = y + cx=y+c
Solve a+b=ca + b = ca+b=c for bbb.
The letter aaa is added to bbb, so subtract aaa from both sides.
b=c−ab = c - ab=c−a
The simple-interest formula is I=PrtI = PrtI=Prt. Solve for the rate rrr.
The rate rrr is multiplied by the product PtPtPt, so divide both sides by PtPtPt.
r=IPtr = \frac{I}{Pt}r=PtI
Solve y=mxy = mxy=mx for xxx.
The coefficient of xxx is mmm, so divide both sides by mmm.
x=ymx = \frac{y}{m}x=my
Ohm's law is E=IRE = IRE=IR. Solve for the resistance RRR.
The resistance RRR is multiplied by the current III, so divide both sides by III.
R=EIR = \frac{E}{I}R=IE
The circumference of a circle is C=πdC = \pi dC=πd. Solve for the diameter ddd.
The diameter ddd is multiplied by π\piπ, so divide both sides by π\piπ.
d=Cπd = \frac{C}{\pi}d=πC
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