Name:________________________________________ Date:_______________________ Period:_________
Section 4-7: Day 1
Transforming Formulas
Recall:
Inverse operation is the ______________ operation that is used to _________________________________.

The inverse of addition is ________________________.

The inverse of ________________________ is division.
If an equation contains more than one variable and you need to solve for a specific variable, ________________
__________________________________________________________________________________________
__________________________________________________________________________________________
*Think how you would solve for a variable in a regular equation and perform same
steps.
I. Solve for x. Assume no denominator is equal to zero!
1. 15 x  1  y
2. x  45z  90
3. x  f   2  j
4. xy  z  9
5. x4  k   p
6. 7 x  3 y  m
7. 2x  b  c
8. x1  y   z
9. 16 z  4 x  y
10. e  rx
11.
xc
d
2
12. fx  3 y  2 z
II. Solve for y. Assume no denominator is equal to zero!
13. x  3 y  1
14. x  2 y  1
15. ry  s  tx  m
16.
2
yk  j
3
II. Solve for y. Assume no denominator is equal to zero!
2
ya  ab
17. 52a  y   3b
18.
19. x  5  2 y  6
3
20.
y
b  7
4
III. Solve each formula for the given variable. Assume no denominator equals zero.
21. s  2rh ; h
22. PV  nrt ; t
25. 4b  5  t ; b
26. c 
29. pt  1  2 ; t
30. 4x  b  2x  c ; x
3
yb; y
4
23. V  r 2 h ; h
27.
5x  y
2; a
a
31. y  mx  b ; m
24. V 
28.
1
Bh ; B
3
3ax  n
 4 ; x
5
32. P 
E2
; R
R
Name:________________________________________ Date:_______________________ Period:_________
Section 4-7: Day 1
Transforming Formulas
Homework Worksheet
I. Solve each formula for the given variable. Assume no denominator equals zero.
1. P  2l  2w ; w
2. 2 x  4 y  7 ; x
4. v  r  at ; a
5. S 
7.
3
y  a  b; y
5
8.
n
A  t  ; A
2
by  2
 c; y
3
3. a y 1  b ; y
6. ex  2 y  3z ; x
9. km  5 x  6 y ; m
II. Write an equation and solve for the given variable.
10. Five more than a number x is six less than twice a number y. Solve for x.
11. One-fourth of a number x is three more than three times a number y. Solve for x.