AnswersAZ-Intermediate Algebra A MA311Solving Linear Equations: Variable on One Side

Solving Linear Equations: Variable on One Side — Unit test Answers

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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
2
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Solve for a.7a - 2b = 5a + b

A
a = 2b
B
a = 3b
C
a = b
Option C
D
a = b
Option D
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 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)
5

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
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

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

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
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

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

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