sat-dog

Of the following equations, which best models the data in the scatterplot?

What is the area, in square units, of the triangle formed by connecting the three points shown?

$64x^2-\left(16a+4b\right)x+ab=0$

In the given equation, $a$ and $b$ are positive constants. The sum of the solutions to the given equation is $k\left(4a+b\right)$, where $k$ is a constant. What is the value of $k$?

Function $f$ is defined by $f\left(x\right)=\left(x+6\right)\left(x+5\right)\left(x+1\right)$. Function $g$ is defined by $g\left(x\right)=f\left(x-1\right)$. The graph of $y=g\left(x\right)$ in the xy-plane has x-intercepts at $\left(a,0\right)$, $\left(b,0\right)$, and $\left(c,0\right)$, where $a$, $b$, and $c$ are distinct constants. What is the value of $a+b+c$?

$4x-9y=9y+5$

$hy=2+4x$

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

If , which of the following is equivalent to the expression ?

$x^2-40x-10=0$

What is the sum of the solutions to the given equation?

Which choice completes the text with the most logical transition?

Which choice best describes data from the table that support the researcher’s hypothesis?

A survey was given to residents of all 50 states asking if they had earned a bachelor’s degree or higher. The results from 7 of the states are given in the table above. The median percent of residents who earned a bachelor’s degree or higher for all 50 states was 26.95%. What is the difference between the median percent of residents who earned a bachelor’s degree or higher for these 7 states and the median for all 50 states?

The number $w$ is $110\%$ greater than the number $z$. The number $z$ is $55\%$ less than $50$. What is the value of $w$?

Circle $A$ has a radius of $3n$ and circle $B$ has a radius of $129n$, where $n$ is a positive constant. The area of circle $B$ is how many times the area of circle $A$?

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

In a right triangle, the tangent of one of the two acute angles is . What is the tangent of the other acute angle?

Which finding, if true, would most directly weaken the student’s hypothesis?

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

The student wants to compare the two women’s contributions to the March on Washington. 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 choice most logically completes the text?

The total distance d, in meters, traveled by an object moving in a straight line can be modeled by a quadratic function that is defined in terms of t, where t is the time in seconds. At a time of 10.0 seconds, the total distance traveled by the object is 50.0 meters, and at a time of 20.0 seconds, the total distance traveled by the object is 200.0 meters. If the object was at a distance of 0 meters when , then what is the total distance traveled, in meters, by the object after 30.0 seconds?

How many solutions are there to the system of equations above?

Which choice most logically completes the text?

In State X, Mr. Camp’s eighth-grade class consisting of 26 students was surveyed and 34.6 percent of the students reported that they had at least two siblings. The average eighth‑grade class size in the state is 26. If the students in Mr. Camp’s class are representative of students in the state’s eighth-grade classes and there are 1,800 eighth-grade classes in the state, which of the following best estimates the number of eighth‑grade students in the state who have fewer than two siblings?

In the figure, parallel lines $q$ and $t$ are intersected by lines $r$ and $s$. If $a=43$ and $b=122$, what is the value of $w$?