SAT 1 test 1

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• -4

• -2

• 2

• 10

NO CALC For #1-3

What are all the possible values of r that satisfy the equation below?

 $9\left(r-r^{\frac{1}{2}}\right)=-3r^{\frac{1}{2}}-5r$  

• 0 only

•  $\frac{3}{7}\$  only

• 0 and  $\frac{9}{49}$  

• 0 and  $\frac{49}{9}$  

NO CALC

Antonina needs to have worked at least 90 volunteer hours to graduate. She has already volunteered with a housing organization over the summer for 52 hours. Antonina needs to tutor after school for 3 hours per week to complete the remainder of her volunteer hours. If www is the number of weeks that Antonina needs to tutor in order to complete her volunteer hours, which of the following inequalities best models the situation described above?

• 52w+30w≥90

• 52w+30w≤90

• 52+3w≤90

• 52+3w≥90

NO CALC

The semicircle shown above has center X and diamter  $\overline{WZ}$  . The radius  $\overline{XY}$  of the semicircle has a length of 2. The chord  $\overline{YZ}$  has length of 2. What is the area of the shaded sector formed by obtuse angle  $WXY$  ?

•  $\frac{2}{3}\pi$  

•  $\frac{4}{3}\pi$  

•  $2\pi$  

•  $\frac{8}{3}\pi$  

*YOU MAY USE A CALC FOR THE REMAINDER OF THE TEST*

A typical image taken of the surface of Mars by a camera is 11.2 gigabits in size. A tracking station on Earth can receive data from the spacecraft at a data rate of 3 megabits per second for a maximum of 11 hours each day. If 1 gigabit equals 1,024 megabits, what is the maximum number of typical images that the tracking station could receive from the camera each day?

• 3

• 10

• 56

• 144

A research assistant randomly selected 75 undergraduate students from the list of all students enrolled in the psychology-degree program at a large university. She asked each of the 75 students, “How many minutes per day do you typically spend reading?” The mean reading time in the sample was 89 minutes, and the margin of error for this estimate was 4.28 minutes. Another research assistant intends to replicate the survey and will attempt to get a smaller margin of error. Which of the following samples will most likely result in a smaller margin of error for the estimated mean time students in the psychology-degree program read per day?

• 40 randomly selected undergraduate psychology-degree program students

• 40 randomly selected undergraduate students from all degree programs at the college

• 300 randomly selected undergraduate psychology-degree program students

• 300 randomly selected undergraduate students from all degree programs at the college