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

The net profit for the sales of a product is equal to
the total revenue from the sales of that product
minus the total cost for the sales of that product. If a
particular model of calculator sells for €98, and the
cost for making and selling n of these calculators is
€(35n + 120,000), which of the following equations
expresses the net profit in dollars, P, for making and
selling n of these calculators?

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?
$$-\frac{5}{3}< \frac{1}{2}-\frac{1}{3}x<\frac{-3}{2}$$

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?

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)?

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?

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

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 ?

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

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?

The graph of the inequality y ≤ 2x will include all of the points in
which quadrant?

According to market research, the number of magazine subscriptions
that can be sold can be estimated using the function
$$n(p)=\frac{5,000}{4p-k}$$
where n is the number of thousands of subscriptions sold, p is the price
in euros for each individual subscription, and k is some constant. If
250,000 subscriptions were sold at €15 for each subscription, how
many subscriptions could be sold if the price were set at €20 for each
subscription?

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?

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

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

If ax + by = 5 is a line in the xy-coordinate plane in which a and b are constants, which of the following expresses the slope of the line?

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

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

what is the value of
$$\frac{7\div (q)^{2}\times 2}{2p}\times \frac{-p+6q-r}{-q}$$
if p =4, q= 1/2 and r = 2?

If the function f is defined by f(x) = 3x + 2, and if f(a) = 17, what is the
value of a?

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 a(b - c)-b(a + c)-c(a - b)

A family kept a log of the distance they traveled during a trip, as represented by the graph below in which the points are ordered pairs of the form (hour, distance). During which interval was their average speed the greatest?

Which of the following expressions is equivalent
to 5.4(x-2y)-2.7(x-3y)?

Which of the following equations represents a line in the xy-coordinate plane with a
y-intercept of 6 and a slope of − 3?

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

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

Connor wants to attend the town carnival. The price of admission to the carnival is $4.50, and each ride costs an additional 79 cents. If he can spend at most $16.00 at the carnival, which inequality can be used to solve for r, the number of rides Connor can go on, and what is the maximum number of rides he can go on?

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?

Let the function f be defined by f(x) = x²+ 12. If n is a positive number
such that f(3n) = 3f(n), what is the value of n?

Which of the following expressions is NOT
equivalent to 3 [6a-3(1 - a) - 5(a + 1)

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?

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)