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In triangles $ABC$ and $DEF$, angles $B$ and $E$ each have measure $27^{\circ}$ and angles $C$ and $F$ each have measure $41^{\circ}$. Which additional piece of information is sufficient to determine whether triangle $ABC$ is congruent to triangle $DEF$?

MathGeometry and Trigonometry

Two nearby trees are perpendicular to the ground, which is flat. One of these trees is 10 feet tall and has a shadow that is 5 feet long. At the same time, the shadow of the other tree is 2 feet long. How tall, in feet, is the other tree?

MathGeometry and Trigonometry

In $\bigtriangleup{XYZ}$, the measure of $\angle {X}$ is $24^{\circ}$ and the measure of $\angle{Y}$ is $98^{\circ}$. What is the measure of $\angle{Z}$?

MathGeometry and Trigonometry

In triangle $ABC$, the measure of angle $B$ is $90^{\circ}$ and $\overline{BD}$ is an altitude of the triangle. The length of $\overline{AB}$ is $15$ and the length of $\overline{AC}$ is $23$ greater than the length of $\overline{AB}$. What is the value of $\frac{BC}{BD}$?

MathGeometry and Trigonometry

A cube has an edge length of 68 inches. A solid sphere with a radius of 34 inches is inside the cube, such that the sphere touches the center of each face of the cube. To the nearest cubic inch, what is the volume of the space in the cube not taken up by the sphere?

MathGeometry and Trigonometry

The area of a square is $64$ square inches. What is the side length, in inches, of this square?

MathGeometry and Trigonometry

Square X has a side length of 12 centimeters. The perimeter of square Y is 2 times the perimeter of square X. What is the length, in centimeters, of one side of square Y?

MathGeometry and Trigonometry

What is the length of one side of a square that has the same area as a circle with radius 2 ?

MathGeometry and Trigonometry

The side length of a square is 55 centimeters (cm). What is the area, in cm${}^{2}$, of the square?

MathGeometry and Trigonometry

In right triangle RST, the sum of the measures of angle $R$ and angle $S$ is 90 degrees. The value of $\sin(R)$ is $\frac{\sqrt{15}}{4}$. What is the value of $\cos(S)$?

MathGeometry and Trigonometry

A right circular cylinder has a volume of $45\,\pi$. If the height of the cylinder is 5, what is the radius of the cylinder?

MathGeometry and Trigonometry

A quadratic function models a projectile's height, in meters, above the ground in terms of the time, in seconds, after it was launched. The model estimates that the projectile was launched from an initial height of 7 meters above the ground and reached a maximum height of 51.1 meters above the ground 3 seconds after the launch. How many seconds after the launch does the model estimate that the projectile will return to a height of 7 meters?

MathAdvanced Math

$4a^{2}+20ab+25b^{2}$Which of the following is a factor of the polynomial above?

MathAdvanced Math

$y=x+1$$y=x^{2}+x$If $(x,y)$ is a solution to the system of equations above, which of the following could be the value of $x$?

MathAdvanced Math

$6x-9y>12$ Which of the following inequalities is equivalent to the inequality above?

MathAdvanced Math

Which expression is equivalent to $\left(m^{4}q^{4}z^{-1}\right)\left(mq^{5}z^{3}\right)$, where $m$, $q$, and $z$ are positive?

MathAdvanced Math

A rectangle has a length that is 15 times its width. The function $y=(15w)(w)$ represents this situation, where $y$ is the area, in square feet, of the rectangle and $y>0$. Which of the following is the best interpretation of 15$w$ in this context?

MathAdvanced Math

Which expression is equivalent to $12x + 27$?

MathAdvanced Math

Which of the following expressions is equivalent to the sum of $(r^{3}+5r^{2}+7)$ and $(r^{2}+8r+12)$ ?

MathAdvanced Math

There were no jackrabbits in Australia before 1788 when 24 jackrabbits were introduced. By 1920 the population of jackrabbits had reached 10 billion. If the population had grown exponentially, this would correspond to a 16.2% increase, on average, in the population each year. Which of the following functions best models the population $p(t)$ of jackrabbits $t$ years after 1788?

MathAdvanced Math

Which expression is equivalent to $x^{2}+3x-40$?

MathAdvanced Math

$f(x)=(x+0.25x)(50-x)$ The function $f$ is defined above. What is the value of $f(20)$?

MathAdvanced Math

Let the function $p$ be defined as $p(x)=\frac{(x-c)^{2}+160}{2c}$ , where $c$ is a constant. If $p(c)=10$ , what is the value of $p(12)$ ?

MathAdvanced Math

$y=ax^{2}-c$In the equation above, $a$ and $c$ are positive constants. How many times does the graph of the equation above intersect the graph of the equation $y=a+c$ in the $xy$-plane?

MathAdvanced Math

What is the minimum value of the function $f$ defined by $f(x)=(x-2)^{2}-4$?

MathAdvanced Math

In triangles $ABC$ and $DEF$, angles $B$ and $E$ each have measure $27^{\circ}$ and angles $C$ and $F$ each have measure $41^{\circ}$. Which additional piece of information is sufficient to determine whether triangle $ABC$ is congruent to triangle $DEF$?

Two nearby trees are perpendicular to the ground, which is flat. One of these trees is 10 feet tall and has a shadow that is 5 feet long. At the same time, the shadow of the other tree is 2 feet long. How tall, in feet, is the other tree?

In $\bigtriangleup{XYZ}$, the measure of $\angle {X}$ is $24^{\circ}$ and the measure of $\angle{Y}$ is $98^{\circ}$. What is the measure of $\angle{Z}$?

In triangle $ABC$, the measure of angle $B$ is $90^{\circ}$ and $\overline{BD}$ is an altitude of the triangle. The length of $\overline{AB}$ is $15$ and the length of $\overline{AC}$ is $23$ greater than the length of $\overline{AB}$. What is the value of $\frac{BC}{BD}$?

A cube has an edge length of 68 inches. A solid sphere with a radius of 34 inches is inside the cube, such that the sphere touches the center of each face of the cube. To the nearest cubic inch, what is the volume of the space in the cube not taken up by the sphere?

The area of a square is $64$ square inches. What is the side length, in inches, of this square?

Square X has a side length of 12 centimeters. The perimeter of square Y is 2 times the perimeter of square X. What is the length, in centimeters, of one side of square Y?

What is the length of one side of a square that has the same area as a circle with radius 2 ?

The side length of a square is 55 centimeters (cm). What is the area, in cm${}^{2}$, of the square?

In right triangle RST, the sum of the measures of angle $R$ and angle $S$ is 90 degrees. The value of $\sin(R)$ is $\frac{\sqrt{15}}{4}$. What is the value of $\cos(S)$?

A right circular cylinder has a volume of $45\,\pi$. If the height of the cylinder is 5, what is the radius of the cylinder?

$4a^{2}+20ab+25b^{2}$

Which of the following is a factor of the polynomial above?

$y=x+1$

$y=x^{2}+x$

If $(x,y)$ is a solution to the system of equations above, which of the following could be the value of $x$?

$6x-9y>12$

Which of the following inequalities is equivalent to the inequality above?

Which expression is equivalent to $\left(m^{4}q^{4}z^{-1}\right)\left(mq^{5}z^{3}\right)$, where $m$, $q$, and $z$ are positive?

A rectangle has a length that is 15 times its width. The function $y=(15w)(w)$ represents this situation, where $y$ is the area, in square feet, of the rectangle and $y>0$.
Which of the following is the best interpretation of 15$w$ in this context?

Which expression is equivalent to $12x + 27$?

Which of the following expressions is equivalent to the sum of $(r^{3}+5r^{2}+7)$ and $(r^{2}+8r+12)$ ?

Which expression is equivalent to $x^{2}+3x-40$?

$f(x)=(x+0.25x)(50-x)$

The function $f$ is defined above. What is the value of $f(20)$?

Let the function $p$ be defined as $p(x)=\frac{(x-c)^{2}+160}{2c}$ , where $c$ is a constant. If $p(c)=10$ , what is the value of $p(12)$ ?

$y=ax^{2}-c$

In the equation above, $a$ and $c$ are positive constants. How many times does the graph of the equation above intersect the graph of the equation $y=a+c$ in the $xy$-plane?

What is the minimum value of the function $f$ defined by $f(x)=(x-2)^{2}-4$?

In triangles $ABC$ and $DEF$, angles $B$ and $E$ each have measure $27^{\circ}$ and angles $C$ and $F$ each have measure $41^{\circ}$. Which additional piece of information is sufficient to determine whether triangle $ABC$ is congruent to triangle $DEF$?

Two nearby trees are perpendicular to the ground, which is flat. One of these trees is 10 feet tall and has a shadow that is 5 feet long. At the same time, the shadow of the other tree is 2 feet long. How tall, in feet, is the other tree?

In $\bigtriangleup{XYZ}$, the measure of $\angle {X}$ is $24^{\circ}$ and the measure of $\angle{Y}$ is $98^{\circ}$. What is the measure of $\angle{Z}$?

In triangle $ABC$, the measure of angle $B$ is $90^{\circ}$ and $\overline{BD}$ is an altitude of the triangle. The length of $\overline{AB}$ is $15$ and the length of $\overline{AC}$ is $23$ greater than the length of $\overline{AB}$. What is the value of $\frac{BC}{BD}$?

A cube has an edge length of 68 inches. A solid sphere with a radius of 34 inches is inside the cube, such that the sphere touches the center of each face of the cube. To the nearest cubic inch, what is the volume of the space in the cube not taken up by the sphere?

The area of a square is $64$ square inches. What is the side length, in inches, of this square?

Square X has a side length of 12 centimeters. The perimeter of square Y is 2 times the perimeter of square X. What is the length, in centimeters, of one side of square Y?

What is the length of one side of a square that has the same area as a circle with radius 2 ?

The side length of a square is 55 centimeters (cm). What is the area, in cm${}^{2}$, of the square?

In right triangle RST, the sum of the measures of angle $R$ and angle $S$ is 90 degrees. The value of $\sin(R)$ is $\frac{\sqrt{15}}{4}$. What is the value of $\cos(S)$?

A right circular cylinder has a volume of $45\,\pi$. If the height of the cylinder is 5, what is the radius of the cylinder?

$4a^{2}+20ab+25b^{2}$Which of the following is a factor of the polynomial above?

$y=x+1$$y=x^{2}+x$If $(x,y)$ is a solution to the system of equations above, which of the following could be the value of $x$?

$6x-9y>12$Which of the following inequalities is equivalent to the inequality above?

Which expression is equivalent to $\left(m^{4}q^{4}z^{-1}\right)\left(mq^{5}z^{3}\right)$, where $m$, $q$, and $z$ are positive?

A rectangle has a length that is 15 times its width. The function $y=(15w)(w)$ represents this situation, where $y$ is the area, in square feet, of the rectangle and $y>0$.Which of the following is the best interpretation of 15$w$ in this context?

Which expression is equivalent to $12x + 27$?

Which of the following expressions is equivalent to the sum of $(r^{3}+5r^{2}+7)$ and $(r^{2}+8r+12)$ ?

Which expression is equivalent to $x^{2}+3x-40$?

$f(x)=(x+0.25x)(50-x)$The function $f$ is defined above. What is the value of $f(20)$?

Let the function $p$ be defined as $p(x)=\frac{(x-c)^{2}+160}{2c}$ , where $c$ is a constant. If $p(c)=10$ , what is the value of $p(12)$ ?

$y=ax^{2}-c$In the equation above, $a$ and $c$ are positive constants. How many times does the graph of the equation above intersect the graph of the equation $y=a+c$ in the $xy$-plane?

What is the minimum value of the function $f$ defined by $f(x)=(x-2)^{2}-4$?

$4a^{2}+20ab+25b^{2}$

Which of the following is a factor of the polynomial above?

$y=x+1$

$y=x^{2}+x$

If $(x,y)$ is a solution to the system of equations above, which of the following could be the value of $x$?

$6x-9y>12$

Which of the following inequalities is equivalent to the inequality above?

A rectangle has a length that is 15 times its width. The function $y=(15w)(w)$ represents this situation, where $y$ is the area, in square feet, of the rectangle and $y>0$.
Which of the following is the best interpretation of 15$w$ in this context?

$f(x)=(x+0.25x)(50-x)$

The function $f$ is defined above. What is the value of $f(20)$?

$y=ax^{2}-c$

In the equation above, $a$ and $c$ are positive constants. How many times does the graph of the equation above intersect the graph of the equation $y=a+c$ in the $xy$-plane?