Literal Equations Answers

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Solve for w.5w + 9z = 2z + 3w

A
w = z
Option A
B
w = z
Option B
C
w = –2z
D
w = –7z
2
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The equation f = v + at represents the final velocity of an object, f, with an initial velocity, v, and an acceleration rate, a, over time, t.

A
t =
Option A
B
t =
Option B
C
t = a(f – v)
D
t = v(f – a)
3

The goals against average (A) for a professional hockey goalie is determined using the formula A = 60 . In the formula, g represents the number of goals scored against the goalie and t represents the time played, in minutes.

Question illustration
A
= g
Option A
B
= g
Option B
C
= g
Option C
D
60At = g
4

The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation K = C + 273.15.

A
C = K – 273.15
B
C = 273.15 – K
C
C = K + 273.15
D
C = 273.15K
5

Solve for k.8k + 2m = 3m + k

A
k = 70m
B
k = 7m
C
k =
Option C
D
k =
Option D
6

The equation d = can be used to calculate the density, d, of an object with mass, m, and volume, V. Which is an equivalent equation solved for V?

Question illustration
A
dm = V
B
= V
Option B
C
= V
Option C
D
m – d = V
7

Solve the equation for a.K = 4a + 9ab

A
a = K(4 + 9b)
B
a = 4(K + 9b)
C
a =
Option C
D
a =
Option D
8

The formula for the circumference of a circle is C = 2r, where r is the radius and C is the circumference. The equation solved for r is r = .

Question illustration
A
r = 4
B
r = 8
C
r = 12
D
r = 16
9

Which are equivalent equations? Select two correct answers.

A
s =
Option A
B
s =
Option B
C
s = LAr
Option C
D
r =
Option D
E
r = LAs
Option E
10

The slope-intercept form of a linear equation is y = mx + b, where x and y are coordinates of an ordered pair, m is the slope of the line, and b is where the line crosses the y-axis.

A
m = yx + b
B
m =
Option B
C
m = – b
Option C
D
m = y –
Option D

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