In the system of equations below, k and s are nonzero constants. If the
system has no solutions, what is the value of k?
$$\frac{1}{3}r +4s =1$$
$$kr+6s=-5$$

If the below system of equations has infinitely many solutions, what is
the value of  p/q?
6x+py = 21
qx+5y=7

A linear equation in the xy-plane intercepts the y-axis at − 3. For every 2 units the y-coordinate of the line increases, the x-coordinate decreases by 7 units. Which of the following is the correct equation for this line?

What is the slope of a line with the equation 5x + 4y = 2?

In the xy-plane, which of these linear equations has a y-intercept of 12?

Which of the following expressions is equivalent
to a(b - c)-b(a + c)-c(a - b)

(4 − a²) − (2a² − 6)
Which of the following expressions is equivalent to the one
above?

The points A(2, 3) and B(m, 11) are 10 units apart.
Which of the following equations could describe
the line that contains points A and B ?

Which of the following is an equation of a line that is parallel to the
line (1/2 )y - (2/3)x = 6in the xy-plane?

Which of the following expressions is equivalent to
1/2(2a+3b+4c) - 3/2(b+2c)?

The equation a + b = 15 relates the number of hours, a, Kevin
spends doing homework each week and the number of hours he
spends watching television each week. If Kevin spends a total of
15 hours doing homework and watching television each week,
what does the variable b represent?

Which could be the slope of a line that contains (1, 1) and passes
between the points (0, 2) and (0, 3)?

Which of the following is equivalent to the expression below?
x²− 8x + 5

Let h be the function defined by h(x) = x + 4x. What is the value of 
$$h(\frac{-1}{2})$$

Which of the following expressions is NOT
equivalent to p - 2/3 (2p - 3q) - 1/3 (p + 4q)

Which ordered pair (x, y) satisfies the system of equations
shown below?
3x - (y/3) = 21
x = y+7

In 2014, the United States Postal Service charged €0.48 to mail a first-class letter weighing up to 1 oz. and €0.21 for each additional ounce.
Based on these rates, which function would determine the cost, in
dollars, c(z), of mailing a first-class letter weighing z ounces where z is
an integer greater than 1?

For the inequality below, what is a possible value of x-3?
$$-\frac{5}{3}< \frac{1}{2}-\frac{1}{3}x<\frac{-3}{2}$$

If |x| ≤ 2 and |y| ≤ 1, then what is the least possible value of x − y?

The annual profit from the sales of an item is equal
to the annual revenue minus the annual cost for
that item. The revenue from that item is equal to
the number of units sold times the price per unit.
If n units of a portable heart monitor were sold in
2012 at a price of €65 each, and the annual cost to
produce n units was €(20,000 + 10n), then which
of the following statements indicates that the total
profit for this heart monitor in 2012 was greater
than €500,000?

Which of the following expressions is equivalent to
2/4(a²-a-3) + 1/3 (a²+2a+6)

If point E(5, h) is on the line that contains A(0, 1) and B(−2, −1), what
is the value of h?

What is the slope of the line 2(x + 2y) = 0?

If 2 times an integer x is increased by 5, the result is always greater than 16 and less than 29. What is the least value of x?

Which of the following equations has a slope perpendicular to the slope of a line with the equation y = ax + b, given that a and b are constants?

If function f is defined by f(x) = 5x + 3, then which expression
represents 2f(x) – 3?

Segments AP and BP have the same length. If the coordinates of A and
P are (−1, 0) and (4, 12), respectively, which could be the coordinates
of B?
I. \((\frac{3}{2},6)\)
II (9,24)
III(-8,7)

In a certain greenhouse for plants, the Fahrenheit temperature, F, is
controlled so that it does not vary from 79° by more than 7°. Which of
the following best expresses the possible range in Fahrenheit
temperatures of the greenhouse?

Two lines are graphed in the xy-plane. The lines have the same slope and different y-intercepts. How many solution(s) would the equations represented by this pair of lines have?

The line y + 2x = b is perpendicular to a line that passes through the
origin. If the two lines intersect at the point (k + 2, 2k), what is the
value of k?

Which of the following represents an equation of the line that is the perpendicular bisector of the segment whose endpoints are (–2, 4) and (8, 4)?

If the function k is defined by k(h) = (h + 1)2, then k(x − 2) =
x²-x

If \(\frac{|a+3|}{2}\) =1 and 2|b + 1| = 6, then |a + b| could equal any of the
following EXCEPT

The graph of a line in the xy-plane has slope and contains the point
(0, 7). The graph of a second line passes through the points (0, 0) and
(–1, 3). If the two lines intersect at the point (r, s), what is the value of
r + s?

For the system of equations below, which of the following statements
is true?
3x + 5 = 2y
\(\frac{x}{3}+\frac{y}{2}=\frac{2}{3}\)

Roger is having a picnic for 78 guests. He plans to serve each guest at least one hot dog. If each package, p, contains eight hot dogs, which inequality could be used to determine the number of packages of hot dogs Roger must buy?

The ninth grade class at a local high school needs to purchase a park permit for €250.00 for their upcoming class picnic. Each ninth grader attending the picnic pays €0.75. Each guest pays €1.25. If 200 ninth graders attend the picnic, which inequality can be used to determine the number of guests, x, needed to cover the cost of the permit?

Which of these represents a linear equation in the xy-plane that has the
points (5, 17) and (2, 5)?