SAT Practice Questions

A group of students voted on five after-school activities. The bar graph shows the number of students who voted for each of the five activities.

How many students chose activity 3?

What percentage of 300 is 75?

$\frac{x^2}{25} = 36$

What is a solution to the given equation?

3 more than 8 times a number $x$ is equal to 83. Which equation represents this situation?

Hana deposited a fixed amount into her bank account each month. The function $f(t) = 100 + 25t$ gives the amount, in dollars, in Hana’s bank account after $t$ monthly deposits.

What is the best interpretation of 25 in this context?

For the linear function $f$, the table shows three values of $x$ and their corresponding values of $f(x)$. $\begin{array}{|c|c|} \hline x & f(x) \\ \hline 0 & 29 \\ 1 & 32 \\ 2 & 35 \\ \hline \end{array}$

Which equation defines $f(x)$?

Right triangles $PQR$ and $STU$ are similar, where $P$ corresponds to $S$. If the measure of angle $Q$ is $18^\text{o}$, what is the measure of angle $S$?

The scatterplot shows the relationship between two variables, $x$ and $y$.

Which of the following equations is the most appropriate linear model for the data shown?

The given equation describes the relationship between the number of birds, $b$, and the number of reptiles, $r$, that can be cared for at a pet care business on a given day. $2.5b + 5r = 80$

If the business cares for 16 reptiles on a given day, how many birds can it care for on this day?

What is an equation of the graph shown?

Line $t$ in the $xy$-plane has a slope of $-\frac{1}{3}$ and passes through the point $(9, 10)$. Which equation defines line $t$?

The function $f(x) = 206(1.034)^x$ models the value, in dollars, of a certain bank account by the end of each year from 1957 through 1972, where $x$ is the number of years after 1957.

Which of the following is the best interpretation of "$f(5)$ is approximately equal to 243" in this context?

For a certain rectangular region, the ratio of its length to its width is 35 to 10.

If the width of the rectangular region increases by 7 units, how must the length change to maintain this ratio?

Square $P$ has a side length of $x$ inches. Square $Q$ has a perimeter that is 176 inches greater than the perimeter of square $P$. The function $f$ gives the area of square $Q$, in square inches.

Which of the following defines $f$?

$\frac{14x}{7y} = 2\sqrt{w} + 19$

The given equation relates the distinct positive real numbers $w$, $x$, and $y$. Which equation correctly expresses $w$ in terms of $x$ and $y$?

A right triangle has sides of length $2\sqrt{2}$, $6\sqrt{2}$, and $\sqrt{80}$ units.

What is the area of the triangle, in square units?

The expression $4x^2 + bx - 45$, where $b$ is a constant, can be rewritten as $(hx + k)(x + j)$, where $h$, $k$, and $j$ are integer constants.

Which of the following must be an integer?

$y = 2x^2 - 21x + 64$ $y = 3x + a$ 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 $x$?

An isosceles right triangle has a hypotenuse of length 58 inches. What is the perimeter, in inches, of this triangle?

In the xy-plane, a parabola has vertex $(9, -14)$ and intersects the $x$-axis at two points. If the equation of the parabola is written in the form $y = ax^2 + bx + c$, where $a$, $b$, and $c$ are constants,

which of the following could be the value of $a + b + c$?