A is 2 x 5 and B is 3 x 6. A student writes A + B by pairing the entries of each in reading order. Why is that wrong?

For $A=\left[\begin{array}{ccc}-5& 0& 5\\ -4& 1& 6\\ -3& 2& 7\end{array}\right]$, what is the element $a_{32}$, the entry in row 3 and column 2?

For the system x + 2y = 8 and 5x - 2y = -1, what is the constant matrix?

What is the phase shift of y = 4 cos(x - 5pi/6)?

What is $\left[\begin{array}{cc}6& -3\\ 2& 7\end{array}\right]\ast \left[\begin{array}{cc}-2& 3\\ -6& -1\end{array}\right]$?

If sin theta = 3/5 and the terminal side of theta lies in Quadrant II, what is the exact value of cos theta?

What are the center and radius of the circle $(x-5{)}^2+(y-3{)}^2=25$?

Use the graph. Which rule does the curve follow?

An angle of 450 degrees is placed in standard position. Where does its terminal side fall?

A curve passes through the origin heading upward, reaches a greatest output of 9, a least output of -9, and repeats every 2pi/3 units. Which rule does it follow?

What is 270 degrees written in radians, in exact form in terms of pi?

What are the dimensions of $A=\left[\begin{array}{ccc}1& 6& -3\\ 2& 7& -2\end{array}\right]$?

What is the equation of the midline of y = 7 sin(x) + 6?

In rewriting $x^2+y^2+8x-6y=2$, what number must be added to both sides to complete the square in x?

The terminal side of an angle theta in standard position meets the unit circle at (-5/13, 12/13). What is the exact value of sin theta?

A cosine curve reaches a high point at x = 0 and its next low point at x = pi/3. What is its period?

For the parabola $(x-5{)}^2=32(y+4)$, what are the focus and the directrix?

A cosine curve reaches a high point at x = 0 and its next low point at x = 3pi/4. What is its period?

Solve the system 5x + 5y = 40 and x - 4y = -17 by writing it as AX = B and computing $A^{-1}$ B. What is the solution?

A curve is the set of all points whose distances to two fixed points add to a constant. Which conic is it?

For $A=\left[\begin{array}{cc}-6& 7\\ -1& 1\end{array}\right]$, a student proposes $B=\left[\begin{array}{cc}1& -7\\ 1& -6\end{array}\right]$. What product would confirm that B is the inverse of A?

What is pi/3 radians written in degrees?

An angle of 180 degrees is placed in standard position. Where does its terminal side fall?

What is $\left[\begin{array}{cc}-3& 2\\ 7& -2\end{array}\right]\ast \left[\begin{array}{c}3\\ -6\end{array}\right]$?

What is 30 degrees written in radians, in exact form in terms of pi?

A student states that the circle $(x-2{)}^2+(y-6{)}^2=9$ has center (-2, -6) and radius 9. Which correction is right?

What is the reference angle for 23pi/12 radians, in radians?

Written in standard form, what is $x^2+y^2+4x-12y-24=0$?

The hours of daylight in a town are modeled by L = 3 sin(2pi(d - 80)/365) + 11.8, where d is the day of the year. What does the number 11.8 represent?

A is 3 x 3 and B is 3 x 1. What are the dimensions of the product AB?

A cosine curve has a greatest output of 7 at x = 0, a least output of -3, and repeats every 2pi units. What is its equation?

If ${\sin }^2\theta =41/64$, what is the value of ${\cos }^2\theta$?

One of the conic sections is the set of all points whose distances to two fixed points differ by a constant. Which conic is it?

For $A=\left[\begin{array}{ccc}-2& 3& -6\\ -1& 4& -5\\ 0& 5& -4\end{array}\right]$, what is the element $a_{31}$, the entry in row 3 and column 1?

If sin theta = 7/25 and the terminal side of theta lies in Quadrant II, what is the exact value of cos theta?

What is the reference angle for 128 degrees, in degrees?

What is the reference angle for 11pi/12 radians, in radians?

An angle of 11pi/3 radians is placed in standard position. In which quadrant does its terminal side lie?

Use the graph. What is the equation of the curve?

A parabola has focus (-5, -6) and directrix y = -2. What is its vertex?

What is the inverse of $\left[\begin{array}{cc}-1& 2\\ -1& 1\end{array}\right]$?

A student states that the circle $(x+5{)}^2+(y-3{)}^2=81$ has center (5, -3) and radius 81. Which correction is right?

For $x^2=-12y$, a student writes the directrix as y = -3, reasoning that the directrix sits on the same side as the focus. What is the correct directrix?

In which direction does the parabola $(y-5{)}^2=32(x+2)$ open, and where is its vertex?

What is the equation of the midline of y = 3 sin(x) + 3?

The hours of daylight in a town are modeled by L = 3 sin(2pi(d - 78)/365) + 11.8, where d is the day of the year. What does the number 3 represent?

Does $\left[\begin{array}{cc}-1& 4\\ -5& 0\end{array}\right]$ have an inverse, and why?

What is the equation of the circle with center (2, 1) and radius 4?

What are the center and radius of the circle $x^2+y^2+8x+6y-24=0$?

An angle of -47 degrees is placed in standard position. In which quadrant does its terminal side lie?

A parabola has focus (0, 3) and directrix y = -3. What is its equation?

What is $-6\ast \left[\begin{array}{cc}1& 6\\ -3& 2\end{array}\right]$?

In rewriting $x^2+y^2-12x+12y=9$, what number must be added to both sides to complete the square in x?

What is the phase shift of y = 6 cos(x + pi/6)?

One of the conic sections is the cross section made by a plane cutting a cone parallel to exactly one of its slant edges. Which conic is it?

In a channel the water is 21 feet deep at high tide and 13 feet deep at low tide, and the depth cycles smoothly. What is the amplitude of a sinusoidal model of the depth, in feet?

A is 4 x 2 and B is 2 x 4. A classmate says AB and BA must be the same matrix because multiplication can be done in any order. What is true instead?

What are the dimensions of $A=\left[\begin{array}{cc}4& -5\\ 0& 5\\ -4& 1\end{array}\right]$?

For the system 4x - 2y = 12 and x - 2y = 5, the coefficient matrix has determinant -6. What does that tell you?

For the ellipse $x^2/4+y^2/64=1$, what are the vertices?