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?

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?

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?

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

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?

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?

The point whose coordinates are (4, −2) lies on a line whose slope is .
Which of the following are the coordinates of another point on this
line?

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

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?

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

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)

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

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

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

For the equation 1/2 y= 2/3 x -4, what is the x-intercept?

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 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 expressions is NOT
equivalent to 3 [6a-3(1 - a) - 5(a + 1)

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

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?

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

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

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

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

Which of the following is equivalent to 10 + 2(x − 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 what value of k does the system of equations below have no
solution?
4x + 6y = 12
y = 8 − kx

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 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?

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)

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

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

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