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Name _______________________________________ Date __________________ Class __________________
HW 3.7 Practice A
Write all work on lined paper.
Solving for a Variable
Do not put work on this handout.
Answer each of the following.
1. The formula K  C  273 is used to
convert temperatures from degrees
Celsius to Kelvin. Solve this formula
for C.
1
relates the period of
f
a sound wave T to its frequency f.
Solve this formula for f.
2. The formula T 
________________________________________
________________________________________
Solve for the indicated variable.
3. x  5y for y
4. s  4t  r for s
________________________
6. 6  hj  k for j
5. 3m  7n  p for m
________________________
7.
________________________
v
 9 for w
w
________________________
8.
________________________
a3
 c for a
b
________________________
Answer each of the following.
9. The formula d  rt relates the distance an
object travels d, to its average rate of speed r,
and amount of time t that it travels.
a. Solve the formula d  rt for t.
_________________________________
b. How many hours would it take for a car
to travel 150 miles at an average rate of
50 miles per hour?
_________________________________
10. The formula F  E  V  2 relates the number of
faces F, edges E, and vertices V, in any convex
polyhedron.
a. Solve the formula F  E  V  2 for F.
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b. How many faces does a polyhedron with
20 vertices and 30 edges have?
________________________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 1
Name _______________________________________ Date __________________ Class __________________
Equations
Review 3.1-3.7 Write all Work on lined Paper.
Solve each equation.
14. 5(x  1)  5(x  5)  15
1. Samir swam m fewer laps than his
friend Kristen, who swam 8 laps. Write
an expression for the number of laps
Samir swam.
2. Write two verbal expressions for
k
.
10
3. Evaluate p  q for p  1.4 and q  0.1.
4. x  39  105
5. 11.5  a  4.5
6. Write an equation to represent the
relationship “a number decreased
by negative 2 is equal to 21.” Then
solve the equation.
Solve each equation.
7.
m
 7
4
15. Solve S 
16. Solve 0.30x  6y  300 for x.
17. Solve (a  9)  3a  17.
F 8
H 2
G 4
J 6.5
18. A printing company will charge $6 plus
$0.07 per page. Another company will
charge $24 plus $0.04 per page for the
same project. For how many pages will
the costs be the same regardless of
which company is used?
A 330
C 600
B 400
D 1000
19. Solve 10(x  1)  10  10x.
F no solution
8. 4.8t  9.6
G 1
9. Write an equation to represent the
relationship “the product of a number
and 2.5 is 60.” Then solve the
equation.
H 0
J all real numbers
20. Solve A 
Solve each equation.
10. 9(z  1)  2z  16  62
11.
7
d
3d


10
5
2
12. A printing company charges $42 plus
$0.05 per page. Another company just
charges $0.08 per page. How many
pages are in an order that costs the
same regardless of which company is
used?
n
(a  b) for b.
2
A c
1
(b  c)h for c.
2
h
b
2A
B c  2Ah  b
C c
2A
b
h
D c  2h(A  b)
Solve each equation.
13. 10a  35  8a  1
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 1