Question

NSWER EXPLANATION: Think of the equation as an equation for a line

y=mx+b

where in this case

C=
5
9
(F−32)

or

C=
5
9
F−
5
9
(32)

You can see the slope of the graph is
5
9
, which means that for an increase of 1 degree Fahrenheit, the increase is
5
9
of 1 degree Celsius.

C=
5
9
(F)

C=
5
9
(1)=
5
9

Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of
9
5
degrees Fahrenheit.

C=
5
9
(F)

1=
5
9
(F)

(F)=
9
5

Since
9
5
= 1.8, statement II is true.

The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of
5
9
degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:

C=
5
9
(F)

C=
5
9
(
5
9
)

C=
25
81
(whichis≠1)

An increase of
5
9
degree Fahrenheit leads to an increase of
25
81
, not 1 degree, Celsius, and so Statement III is not true.

The final answer is D.



Question 2
The equation
24x2+25x−47
ax−2
=−8x−3−
53
ax−2
is true for all values of x≠
2
a
, where a is a constant.

What is the value of a?

A) -16
B) -3
C) 3
D) 16



ANSWER EXPLANATION: There are two ways to solve this question. The faster way is to multiply each side of the given equation by ax−2 (so you can get rid of the fraction). When you multiply each side by ax−2, you should have:

24x2+25x−47=(−8x−3)(ax−2)−53

You should then multiply (−8x−3) and (ax−2) using FOIL.

24x2+25x−47=−8ax2−3ax+16x+6−53

Then, reduce on the right side of the equation

24x2+25x−47=−8ax2−3ax+16x−47

Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.

The other option which is longer and more tedious is to attempt to plug in all of the answer choices for a and see which answer choice makes both sides of the equation equal. Again, this is the longer option, and I do not recommend it for the actual SAT as it will waste too much time.

The final answer is B.



Question 3
If 3x−y=12, what is the value of
8x
2y
?

A) 212
B) 44
C) 82
D) The value cannot be determined from the information given.



if you answer these you are the king

Answer 1

Answer:

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