Literal Equations and Formulas Worksheet (doc)

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Literal Equations & Formulas Worksheet
1. Solve for t.
𝑑 = 𝑟𝑡
4. Solve for t.
4𝑑 = 𝑡𝑥𝑦
7.
2. Solve for v.
𝑡𝑣 + 𝑡𝑣 = 𝑠
5. Solve for v.
7𝑣 − 𝑎𝑣 = 𝑚
3. Solve for m.
𝑦 = 𝑚𝑥 + 𝑏
6. Solve for y.
3𝑥 − 5𝑦 = 15
a) Use the formula for the area of rectangle to solve for the width, 𝑤.
b) Now suppose you need to put up a fence around a pool that has an area of 216 ft 2. The
length of the pool is 18 ft. Define your variable and find the width and USE UNIT ANALYSIS
to show the correct units.
8. Using the formula d = r · t.
a) Define the variables
b) Solve for t
c) Why is it useful to re-define this formula in terms of t? What might you use it for?
Solve the literal equations for the specified variable.
9. Solve for x :
7 x  y  14
10. Solve for p :
I  prt
11. Solve for t :
I  prt
12. Solve for l :
V  lwh
13. solve for l :
p  2l  2w
14. Solve for d:
C  d
16. Solve for y :
19  7x  y
15. Solve for b :
y  mx  b
17. Newton’s Second Law states F = ma:
a) Rewrite the equation in terms of a.
b) Rewrite the equation in terms of m.
18. The ideal gas law is PV = nRT:
a) Rewrite the equation in terms of P.
b) Rewrite the equation in terms of n.
c) Rewrite the equation in terms of T.
19. For an object that is accelerating at a constant rate: v = v0 + at
a) Rewrite the equation in terms of a
b) Rewrite the equation in terms of t
20. The area of a trapezoid is A =
1
2
h(b1 + b2)
a) Rewrite the equation in terms of h
b) Rewrite the equation in terms of b1
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