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Name _______________________________________ Date __________________ Class __________________
LESSON
2-5
Practice C
Solving for a Variable
Answer each of the following.
1. The formula P  2l  2w relates the
perimeter P of a rectangle to its length l
and width w. Solve this formula for w.
vf  vi
is used to find an
t
object’s acceleration given initial velocity
vi, final velocity vf, and time t. Solve this
formula for vf.
2. The formula a 
________________________________________
________________________________________
Solve each literal equation for the indicated variable.
3. 3f  g for f
4. 12  a  5b for a
________________________
6. 5h  g  jk for h
________________________
5. 3x  7y  z for x
________________________
7.
r
 t  9 for r
s
________________________
8.
________________________
m3
 p for n
n
________________________
Answer each of the following.
9. The formula F  ma relates the force F exerted
on an object, to the object’s mass m, and
acceleration a.
a. Solve the formula F  ma for a.
____________________________________
b. Suppose a shot-putter exerts a force of
123.5 kg • m/s2 on a shot that has a mass of
6.5 kg. What is the rate of acceleration of
the shot? (The answer will be in m/s2.)
____________________________________
10. The formula I  Prt can be used to determine the
interest I that is earned on a principal amount of
money P, when the money is invested at an annual
percentage rate r for t years.
a. Solve the formula I  Prt for t.
____________________________________
b. If a couple invests $5000 in an account that
earns a 3% interest rate, how long will they
need to invest it to earn $1200 in interest?
(Hint: Convert the interest rate to a decimal.)
____________________________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
2-37
Holt McDougal Algebra 1
Practice C
1. w 
Reading Strategies
P  2l
2
2. vf  at  vi
3. f 
g
3
4. a  12  5b
5. x 
z  7y
3
6. h 
jk  g
5
7. r  s(t  9)
8. n 
m3
p
9. a. a 
F
m
10. a. t 
b. 19 m/s2
I
Pr
P
4
LESSON 2-6
2. b  180  a
–c
VP
3. K 
T
3V
4. w 
lh
5. 12 in.
6. add –x to both sides
7. multiply both sides by 2
c
3b
10. z  3(y  x)
11. m  pn  3
1. 3; 2; 2; 2
2. 7; 7; 4; 4; 4; 4; 11; 3
3. 6; 6; 6; 5; 7
4. {8, 8}
5. {14, 14}
6. {9, 9}
7. {17, 17}
8. {11, 7}
9. {1, 11}
12. {11, 9}
13. x  24  2
2. P  2000
Practice B
3. t  5 years
1. {12, 12}
4. r  0.032 or 3.2%
5. $351
6. 3 years
 1 1
2.  , 
 2 2
7. $2200
8. 0.03 or 3%
3. {10, 10}
9. $247
10. 5 years
11. 0.027 or 2.7%
Problem Solving
1. r 
d
t
11. {7, 3}
14. 22 miles per gallon; 26 miles per
gallon
Challenge
1. l  375
Practice A
10. {5, 5}
8. add 3r to both sides
9. a 
V
Iw
b. 3 cm
6. a. h 
b. 8 years
Review for Mastery
1. s 
1. Possible answer: 3x  2y  9
2. The equation contains only one
variable, n.
3. Yes, because it has two or more
variables.
4. Divide both sides by r.
b8
5. t 
3
2. 9.1 m/s
3. 8.5 m/s
4. 0.4 m/s
5. B
6. F
7. D
8. J
4.
5.
6.
7.
8.
9.
{9, 9}
{8, 8}
{13, 7}
{1, 3}
{2, 8}
{14, 10}
10. {3, 3}
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
A18
Holt McDougal Algebra 1