Regents Exam Questions A.A.23: Transforming Formulas 2
Name: ________________________
www.jmap.org
A.A.23: Transforming Formulas 2: Solve literal equations for a given variable
8 If c  2m  d , then m is equal to
1 Which equation is equivalent to 3x  4y  15?
15  3x
1) y 
4
3x  15
2) y 
4
3) y  15  3x
4) y  3x  15
9 If
2 The equation P  2L  2W is equivalent to
P  2W
1) L 
2
P  2W
2) L 
2
P
3) 2L 
2W
4) L  P  W
ey
 k  t , what is y in terms of e, n, k, and t?
n
10 The members of the senior class are planning a
dance. They use the equation r  pn to determine
the total receipts. What is n expressed in terms of r
and p ?
11 The formula for potential energy is P  mgh , where
P is potential energy, m is mass, g is gravity, and h
is height. Which expression can be used to
represent g?
3 If 3ax  b  c, then x equals
12 If the formula for the perimeter of a rectangle is
P  2l  2w , then w can be expressed as
4 If bx  2  K , then x equals
5 If x  2a  b 2 , then a equals
13 Sean knows the length of the base, b, and the area,
A, of a triangular window in his bedroom. Which
formula could he use to find the height, h, of this
window?
6 If 2m  2p  16, p equals
14 The formula for the volume of a right circular
cylinder is V   r 2 h . The value of h can be
expressed as
7 In the equation A  p  prt , t is equivalent to
1
Regents Exam Questions A.A.23: Transforming Formulas 2
Name: ________________________
www.jmap.org
24 Shoe sizes and foot length are related by the
formula S  3F  24, where S represents the shoe
size and F represents the length of the foot, in
inches.
a Solve the formula for F.
b To the nearest tenth of an inch, how long is the
1
foot of a person who wears a size 10 shoe?
2
15 A formula used for calculating velocity is
1
v  at 2 . What is a expressed in terms of v and t?
2
16 If
x a
  0, b  0, then x is equal to
4 b
17 If 9x  2a  3a  4x, then x equals
18 If x  y  9x  y , then x is equal to
19 If 7x  2a  3x  5a , then x is equivalent to
20 If a  ar  b  r, the value of a in terms of b and r
can be expressed as
21 If 2ax  5x  2, then x is equivalent to
22 Solve for c in terms of a and b: bc  ac  ab
23 Solve: (a  x)(b  x)  x 2
2
ID: A
A.A.23: Transforming Formulas 2: Solve literal equations for a given variable
Answer Section
1 ANS: 1
REF: 080722a
2 ANS: 1
REF: 010310a
3 ANS:
cb
3a
3ax  b  c
3ax  c  b
x
cb
3a
REF: 080808ia
4 ANS:
K2
b
REF: 010116a
1
ID: A
5 ANS:
x  b2
2
REF: 060219a
6 ANS:
8m
REF: 080218a
7 ANS:
Ap
pr
REF: 010620a
8 ANS:
cd
2
REF: 060719a
2
ID: A
9 ANS:
n(t  k)
y
e
ey
k  t
n
ey
 tk
n
y
n(t  k)
e
REF: 011125ia
10 ANS:
r
n
p
REF: 011016ia
11 ANS:
P
mh
P  mgh
g
P
mh
REF: 010710a
12 ANS:
P  2l
w
2
P  2l  2w
P  2l  2w
P  2l
w
2
REF: 010911ia
13 ANS:
2A
h
b
REF: 010517a
3
ID: A
14 ANS:
V
 r2
REF: 060617a
15 ANS:
2v
a 2
t
REF: 061023ia
16 ANS:
4a
b
REF: 080530a
17 ANS:
a
13
REF: 010011a
18 ANS:
0
REF: 060310a
4
ID: A
19 ANS:
3a
4
REF: 060513a
20 ANS:
br
1r
a  ar  b  r
a(1  r)  b  r
a
br
1r
REF: 060913ia
21 ANS:
2
2a  5
REF: 010421a
22 ANS:
bc  ac  ab
c(b  a)  ab
c
ab
ba
REF: 081131ia
23 ANS:
a2
ab
REF: 039008al
5
ID: A
24 ANS:
S  24
, 11.5.
3
.
REF: 069922a
6