SAT practice test 5

Which of the following is an equation of the line L in the xy-plane above?

• x=1

• y=1

• y=x

• y=x+1

The circle above with center O has a circumference of 36. What is the length of minor arc AC?

• 9

• 12

• 18

• 36

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

• x=-1and x=-3 
  

• x=-1 and x=3

• x=1 and x=-3 

• x=1 and  x=3

Which of the following is an example of a function whose graph in the xy-plane has no x-intercepts?

• A linear function whose rate of change is not zero

• A quadratic function with real zeros

• A quadratic function with no real zeros

• A cubic polynomial with at least one real zero

 $\sqrt{k+2}-\ x=0$  In the equation above, k is a constant. If x = 9, what is the value of k ?

• 1

• 7

• 16

• 79

Which of the following is equivalent to the sum of the expressions a − 1 2 and a + 1 ?

• $a^2+a$

• $a^3-1$

• $2a^2$

• $a^3$

Jackie has two summer jobs. She works as a tutor, which pays $12 per hour, and she works as a lifeguard, which pays $9.50 per hour. She can work no more than 20 hours per week, but she wants to earn at least $220 per week. Which of the following systems of inequalities represents this situation in terms of x and y, where x is the number of hours she tutors and y is the number of hours she works as a lifeguard?

• 
  

  $12x+9.5\le220$ $x+y\ge20$
  

• $12x+9.5y\le220$ $x+y\le20$

• $12x+9.5y\ge220$ $x+y\le20$

• $12x+9.5y\ge220$ $x+y\ge20$

8 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 ST T ( ) = 0.6 + 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°C

• The speed of sound, in meters per second, at 0.6°C

• The increase in the speed of sound, in meters per second, that corresponds to an increase of 1°C

• The increase in the speed of sound, in meters per second, that corresponds to an increase of .6 °C

 $y=x^2$   $2y+6\ =2\left(x+3\right)$  

If ( ) x y, is a solution of the system of equations above and x > 0, what is the value of xy ?

• 1

• 2

• 3

• 9

If $a^2+b^2=z\$  and  $ab=y$ , which of the following is equivalent to  $4z+8y$  

•  $\left(a+2b\right)^2$  

•  $\left(2a+2b\right)^2$  

•  $\left(4a+4b\right)^2$  

•  $\left(4a+8b\right)^2$