SAT Prep C

NON-CALCULATOR

What are the solutions of the quadratic equation  $4x^2-8x-12=0$  ?

•  $x=-1\ and\ x=-3$  

•  $x=-1\ and\ x=3$  

•  $x=1\ and\ x=-3$  

•  $x=1\ and\ x=3$  

NON-CALCULATOR

In air, the speed of sound  $S$ , in meters per second, is a linear function of the air temperature  $T$ , in degrees Celsius, and is given by  $S(T)=0.6T+331.4$ .
Which of the following statements is the best interpretation of the number 331.4 in this context?

• The speed of sound, in meters per second, at  $0\degree$ C.

• The speed of sound, in meters per second, at  $0.6\degree$ C.

• The increase in the speed of sound, in meters per second, that corresponds to an increase of  $1\degree$ C.

• The increase in the speed of sound, in meters per second, that corresponds to an increase of  $0.6\degree$ C.

NON-CALCULATOR

 $f(x)=2^x+1$  
The function  $f$ is defined by the equation above. Which of the following is the graph of  $y=-f\left(x\right)$  in the  $xy-$  plane?

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CALCULATOR

The Townsend Realty Group invested in the five different properties listed in the above table. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations.

The relationship between the monthly rental price  $r$  , in dollars, and the property’s purchase price  $p$  , in thousands of dollars, can be represented by a linear function. Which of the following functions represents the relationship?

•  $r(p)=2.5p-870$  

•  $r(p)=5p+165$  

•  $r(p)=6.5p+440$  

•  $r(p)=7.5p-10$  

CALCULATOR

The Townsend Realty Group invested in the five different properties listed in the above table. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations.

Townsend Realty purchased the Glenview Street property and received a 40% discount off the original price along with an additional 20% off the discounted price for purchasing the property in cash. Which of the following best approximates the original price, in dollars, of the Glenview Street property?

• $350,000

• $291,700

• $233,300

• $175,000

CALCULATOR

A psychologist set up an experiment to study the tendency of a person to select the first item when presented with a series of items. In the experiment, 300 people were presented with a set of five pictures arranged in random order. Each person was asked to choose the most appealing picture. Of the first 150 participants, 36 chose the first picture in the set. Of the remaining 150 participants,  $p$ people chose the first picture in the set. If more than 20% of all participants chose the first picture in the set, which of the following inequalities best describes the possible values of  $p$ ? 

•  $p>0.20(300-36),where\ p≤150$  

•  $p>0.20(300+36),where\ p≤150$  

•  $p-36>0.20(300),where\ p≤150$  

•  $p+36>0.20(300),where\ p≤150$