SAT Math — Module 1 practice test

The function $f$ is defined by $f(x)=x^2+2x-9$. What is the $y$-intercept of the graph of $y=f(x)$ in the $xy$-plane?

Which expression is equivalent to $12x+18$?

The graph of $y=6x-2$ contains a point whose $x$-coordinate is 5. Which ordered pair represents this point?

Twelve more than the product of 25 and a number $p$ is 337. Which equation represents this situation?

One solution to the given equation is $-9$. What is the other solution?

If the value 10 is removed from the data shown, what is the median of the remaining data?

The scatterplot shows the width, in meters, of a stream at several locations and an estimate of the water flow rate at each location. A line of best fit is also shown.

According to the line of best fit, which of the following is closest to the estimated flow rate at a stream width of 0 meters?

How many feet are equivalent to 324 inches? (1 foot $=12$ inches)

Rectangles $ABCD$ and $EFGH$ are similar. The length of rectangle $ABCD$ is 18 meters and its width is 7 meters. The length of rectangle $EFGH$ is 36 meters. What is the perimeter, in meters, of rectangle $EFGH$?

What is the solution $(x,y)$ to the given system of equations?

Triangle $ABC$ is similar to triangle $XYZ$. The ratio of the perimeter of triangle $ABC$ to the perimeter of triangle $XYZ$ is $5:3$. If the shortest side of triangle $XYZ$ is 9, what is the length of the corresponding shortest side of triangle $ABC$?

The graph of $y=g(x)$ is obtained by translating the graph of $y=5^x$ right 4 units and down 6 units. Which equation defines function $g$?

The triangular metal plate shown is equilateral, with each side measuring 26 centimeters. The plate’s height is $h\sqrt{3}$ centimeters, where $h$ is a constant. What is the value of $h$?

A circle has a radius of 15 centimeters. A central angle of $144^{\circ }$ intercepts an arc. The length of the intercepted arc is $k\pi$ centimeters, where $k$ is a constant. What is the value of $k$?

What is the smallest integer value of $x$ that is a solution to the given inequality?

A science museum schedules 360 minutes for each combination of the number of planetarium presentations, $x$, and the number of workshops, $y$, represented by a point on the line shown. Every planetarium presentation has the same length, and every workshop has the same length. Which equation could represent this relationship?

In Year 2, sales were $12\mathrm{\%}$ higher than in Year 1, and in Year 3, sales were $8\mathrm{\%}$ higher than in Year 2. If sales in Year 3 were $y$ times sales in Year 1, what is the value of $y$?

What value of $x$ satisfies the given equation?

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

The table gives values of two linear functions, $A$ and $B$. For what value of $x$ does $A(x)=B(x)$?

Which expression is equivalent to $(x^2+5x+6{)}^2-4(x^2+5x+6)-12$?

The function $m$ is defined by $m(x)=a^x+b$, where $a$ and $b$ are constants and $a>1$. In the $xy$-plane, the graph of $y=m(x)$ passes through the points $(1,-28)$ and $(3,-22)$. What is the value of $a-b$?