Equations & Inequalities
The solution to the equation:
3(x - 5) = 21
What is an equation with the solution x = 12?
The simplified form of:
√80
What is 4√5?
The slope of the linear equation:
3x - 5y = 10
What is 3/5?
The solutions to the quadratic equation:
x2 + 2x - 63
What are x = -9 and x = 7?
The end behavior of the function:
f(x) = 5x -3x4 - 2x2
What is:
as x -> ∞, f(x) -> -∞,
and as x -> -∞, f(x) -> -∞ ?
x ≤ -3 OR x > 8 in interval notation.
What is (-∞, -3] U (8, ∞)?
The simplified form of:
(x2y-3)(x-5y8).
What is y5/x3?
The slope of the line between the points:
(-3, 5) and (7, -2)
The vertex of the quadratic function:
f(x) = 2x2 - 8x + 7
What is (2, -1)?
The zeroes of the polynomial function:
f(x) = -3x(2x - 6)(x - 5)(x + 11).
What are (0, 0), (3, 0), (5, 0), and (-11, 0)?
The solution to the inequality, in interval notation:
-5(x + 2) > 10x + 25
What is an inequality with the solution (-∞, -1)?
The simplified form of 10/√2.
What is 5√2?
The equation of the line, in slope-intercept form, that passes through the points:
(0,5) and (10, 0)
The solutions to the quadratic equation:
6x2 + 19x - 20 = 0
What are x = 5/6 and x = -4?
The domain of the function, in interval notation:
f(x) = 1 / (x2 - 6x - 27)
What is (-∞, -3) U (-3, 9) U (9, ∞)?
The solution to the equation:
[(x - 4) / 3] + 7 = 4x - 9
What is an equation with the solution x = 4?
The simplified form of:
(a3b2c-6 * a-3b0c10)3
What is b6c12?
The slope of a line that is parallel to the line:
y = 6x + 3
What is -1/6?
x2 - 12x = -6.
What are 6 + √30 and 6 - √30?
A rational function in factored form with a hole at x = -3 and a vertical asymptote at x = 7.
What is (x + 3) / [(x + 3)(x - 7)]?
The solution to the inequality, in interval notation:
-20 < 2(3x - 4) ≤ 34
What is an inequality with the solution (-2, 7]?
The simplified form of:
x / (x - √x)
What is (x + √x) / (x - 1)?
The y-intercept of the following linear equation:
y - 5 = 2(x + 3)
What is (0, 11)?
What a quadratic function that has a vertex of (-7, -3) and passes through the point (-4, 15)?
What is f(x) = 2(x + 7)2 - 3
or
f(x) = 2x2 + 28x + 95?
xThe quotient of (3x3 - 23x2 + 42x - 72) ÷ (x - 6).
What is 3x2 - 5x + 12?