sat-dog

$y=2x^2-21x+64$

$y=3x+a$

In the given system of equations, $a$ is a constant. The graphs of the equations in the given system intersect at exactly one point, $(x,y)$, in the xy-plane. What is the value of $x$?

Which choice most logically completes the text?

The surface area of a cube is , where a is a positive constant. Which of the following gives the perimeter of one face of the cube?

In the system of equations above, c is a constant. If the system has no solution, what is the value of c ?

If $\frac{x+6}{3}=\frac{x+6}{13}$, the value of $x+6$ is between which of the following pairs of values?

Which choice completes the text so that it conforms to the conventions of Standard English?

Which choice best states the main purpose of the text?

The student wants to present Tan’s research to an audience unfamiliar with Angkor Wat. Which choice most effectively uses relevant information from the notes to accomplish this goal?

The student wants to explain what a quenched galaxy is. Which choice most effectively uses relevant information from the notes to accomplish this goal?

Which choice completes the text so that it conforms to the conventions of Standard English?

Which choice completes the text with the most logical and precise word or phrase?

Which of the following equations represents a circle in the xy-plane that intersects the y-axis at exactly one point?

The table above shows the coordinates of three points on a line in the xy-plane, where k and n are constants. If the slope of the line is 2, what is the value of  ?

The student wants to emphasize the aim of the research study. Which choice most effectively uses relevant information from the notes to accomplish this goal?

Which of the following is closest to the difference between the percentage of adults aged 18–50 years who responded “warm” and the percentage of adults aged 51 years or greater who responded “warm”?

The number $a$ is $70\%$ less than the positive number $b$. The number $c$ is $60\%$ greater than $a$. The number $c$ is how many times $b$?

Which choice most logically completes the text?

Which choice uses data from the table to most effectively support the researchers’ conclusion?

Which choice most effectively uses data from the table to support the underlined claim?

In the xy-plane, the graph of the equation above is a circle. Point P is on the circle and has coordinates . If is a diameter of the circle, what are the coordinates of point Q ?

Which choice completes the text with the most logical transition?

A shipping service restricts the dimensions of the boxes it will ship for a certain type of service. The restriction states that for boxes shaped like rectangular prisms, the sum of the perimeter of the base of the box and the height of the box cannot exceed 130 inches. The perimeter of the base is determined using the width and length of the box. If a box has a height of 60 inches and its length is 2.5 times the width, which inequality shows the allowable width x, in inches, of the box?

Which choice completes the text so that it conforms to the conventions of Standard English?

In the system of equations above, a is a constant. If the system of equations has no solution, what is the value of a ?

$8x+7y=9$
$24x+21y=27$

For each real number $r$, which of the following points lies on the graph of each equation in the xy-plane for the given system?