2-8 Literal Equations and Dimensional Analysis
Solve each equation or formula for the variable
indicated.
1. 5a + c = –8a, for a
ANSWER: k = –7n – m
4. q = p (r + s), for p
SOLUTION: SOLUTION: ANSWER: p=
ANSWER: 5. PACKAGING A soap company wants to use a
cylindrical container to hold their new liquid soap. a=
2. 7h + f = 2h + g, for g
SOLUTION: ANSWER: 5h + f = g
3. a. Solve the formula for h.
b. What is the height of a container if the volume is
56.52 cubic inches and the radius is 1.5 inches?
Round to the nearest tenth.
SOLUTION: a.
= n, for k
SOLUTION: b. Replace V with 56.52 and r with 1.5 in the
equation h =
. Then, solve for h.
ANSWER: k = –7n – m
4. q = p (r + s), for p
SOLUTION: So, the height is about 8 inches.
ANSWER: a. h =
ANSWER: p=
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5. PACKAGING A soap company wants to use a
cylindrical container to hold their new liquid soap. b. 8.0 in.
Solve each equation or formula for the variable
indicated.
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8. u = vw + z, for v
SOLUTION: ANSWER: ANSWER: a. h =
2-8 Literal Equations and Dimensional Analysis
b. 8.0 in.
Solve each equation or formula for the variable
indicated.
8. u = vw + z, for v
11. 10m – p = –n, for m
SOLUTION: SOLUTION: ANSWER: ANSWER: m=
v=
12. , for t
9. x = b – cd, for c
SOLUTION: SOLUTION: ANSWER: ANSWER: c=
t=
(r – v)
10. fg – 9h = 10j , for g
SOLUTION: 13. , for v
SOLUTION: ANSWER: ANSWER: 11. 10m – p = –n, for m
v=
SOLUTION: (z – w)
14. , for a
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ANSWER: ANSWER: 2-8 Literal
and Dimensional Analysis
v = (zEquations
– w)
14. , for a
SOLUTION: f=
16. FITNESS The formula to compute a person’s body
mass index is
. B represents the body
mass index, w is the person’s weight in pounds, and h
represents the person’s height in inches.
a. Solve the formula for w.
b. What is the weight to the nearest pound of a
person who is 64 inches tall and has a body mass
index of 21.45?
SOLUTION: a.
ANSWER: a=
15. , for f
SOLUTION: b. To find the weight to the nearest pound of a
person who is 64 inches tall and has a body mass
index of 21.45, replace h with 64 and B with 21.45 in
the equation w =
. Then, solve for w.
ANSWER: f=
16. FITNESS The formula to compute a person’s body
mass index is
. B represents the body
mass index, w is the person’s weight in pounds, and h
represents the person’s height in inches.
a. Solve the formula for w.
b. What is the weight to the nearest pound of a
person who is 64 inches tall and has a body mass
index of 21.45?
SOLUTION: a.
A person who is 64 inches tall and has a body mass
index of 21.45 is about 125 pounds.
ANSWER: a. w =
b. 125 lb
17. PHYSICS Acceleration is the measure of how fast
a velocity is changing. The formula for acceleration
is a =
. a represents the acceleration rate, vf
is the final velocity, vi is the initial velocity, and t
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represents the time in seconds.
a. Solve the formula for vf .
b. What is the final velocity of a runner who is
accelerating at 2 feet per second squared for 3
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ANSWER: a. w =
2-8 Literal Equations and Dimensional Analysis
b. 125 lb
17. PHYSICS Acceleration is the measure of how fast
a velocity is changing. The formula for acceleration
is a =
. a represents the acceleration rate, vf
ANSWER: a. vf = at + vi
b. 10 ft/s2
Solve each equation or formula for the variable
indicated.
20. –14n + q = rt – 4n, for n
SOLUTION: is the final velocity, vi is the initial velocity, and t
represents the time in seconds.
a. Solve the formula for vf .
b. What is the final velocity of a runner who is
accelerating at 2 feet per second squared for 3
seconds with an initial velocity of 4 feet per second?
SOLUTION: a.
ANSWER: n=
21. 18t + 11v = w – 13t, for t
SOLUTION: b. To find the final velocity of a runner who is
accelerating at 2 feet per second squared for 3
seconds with an initial velocity of 4 feet per second,
replace a with 2, t with 3, and vi with 4.
ANSWER: 2
The final velocity is 10 ft/s .
22. ax + z = aw – y, for a
ANSWER: a. vf = at + vi
SOLUTION: b. 10 ft/s2
Solve each equation or formula for the variable
indicated.
20. –14n + q = rt – 4n, for n
SOLUTION: ANSWER: 23. 10c – f = –13 + cd, for c
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SOLUTION: ANSWER: ANSWER: 2-8 Literal Equations and Dimensional Analysis
23. 10c – f = –13 + cd, for c
SOLUTION: ANSWER: eSolutions Manual - Powered by Cognero
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