SATMathematics Practice Test 1

Questions 29 and 30 refer to the following information.

a=1,052+1.08t

The speed of a sound wave in air depends on the air temperature. The formula above shows the relationship between a, the speed of a sound wave, in feet per second, and t, the air temperature, in degrees Fahrenheit (°F).

Question : 29 of 58

Marks: +1, -0

Which of the following expresses the air temperature in terms of the speed of a sound wave?

$t={a-1,052}/1.08$
$t={a+1,052}/1.08$
$t={1,052-a}/1.08$
$t=1.08/{a+1,052}$

Validate

Solution:

Subtracting 1,052 from both sides of the equation

a=1,052+1.08t

gives

a − 1,052 = 1.08t

.
Then dividing both sides of

a−1,052=1.08t

1.08

gives

t={a-1,052}/1.08

Choices B, C, and D are incorrect and could arise from errors in rewriting

a=1,052+1.08t

.
For example, choice B could result if

1,052

is added to the left side of

a=1,052+1.08t

and subtracted from the right side, and then both sides are divided by

1.08

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