AnswersIntegrated Math II FullQuadratic Functions: Standard Form

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Marta is solving the equation S = 2πrh + 2πr2 for h. Which should be the result?

A
– r = h
Option A
B
= h
Option B
C
S – = h
Option C
D
S – = h
Option D
2
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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
3

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
4

Which are equivalent equations? Select two correct answers.

A
d1 = 2Ad2
B
d1 =
Option B
C
d2 =
Option C
D
d2 =
Option D
E
d2 = 2Ad1
5

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

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

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
7

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
8

The slope, m, of a linear equation can be found using the formula m = , where the x- and y-values come from two ordered pairs, and (x1, y1) and (x2, y2).

Question illustration
A
y2 = mx2 – x1 + y1
B
y2 = mx2 – x1 – y1
C
y2 = m(x2 – x1) + y1
D
y2 = m(x2 – x1) – y1
9

The circumference of a circle can be found using the formula C = 2r.

Question illustration
A
r = C
Option A
B
r = C(2)
Option B
C
r =
Option C
D
r =
Option D
10

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

A
w = z
Option A
B
w = z
Option B
C
w = –2z
D
w = –7z

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