Consider the set M = {-1028, -2050/5, -3/25, 0, 4/21, 1, √24, 11, 9π}. Identify which of its elements are irrational numbers.

Which of the following expressions results in a positive number?

Perform multiplication in the given expression:

(3a² - 7b²)(3a² + 7b²)

Which of the following expressions requires the use of the distributive property rather than the FOIL method?

Factor the following expression:

8a¹² + 125b¹⁵

What is the result of √(-49)?

Simplify and combine: √18 + √50

Why is it necessary to rationalize the denominator in a fraction?

Convert the expression √(a^2) * √(b^2) into a single expression with rational exponents.

A triangle has angles measuring 30 degrees, 60 degrees, and 90 degrees. What type of triangle is this?

Solve the following formula for the indicated variable. What does the formula describe? 

L = 2πrh for r

Given the equation 1/(x-5) = 2 and the solution x = 5, what is the correct evaluation of this solution?

Write the following expression as -1, 1, -i, or i: 

i⁸⁸

Which of the following is true about the imaginary unit i?

Given the complex number z = 7 - 5i, express z in polar form.

Identify the following function's graph by first solving for its x-intercepts and then matching it with the given graphs. 

y = (x -3)² -9

Among the following equations, select which one can be directly solved by using the quadratic formula and work out the value(s) of x.

1. 4x² - 23x - 35 = 0
2. (3x + 1)² = 4
3. x² - x = 72
4. (9x - 4)(x - 5) = 0

By applying the square root property, solve:

11(g + 5)² = 121

Solve the quadratic equation x² + 5x + 6 = 0 using the quadratic formula.

Solve the inequality -4x + 7 ≤ 3 and express the solution in interval notation.

If you have the ordered pair (2, -3), where would you plot this point on the Cartesian plane?

If you plot the points (0, 3), (1, 2), and (2, 1) on a graph, what equation do they satisfy?

Find the equation that describes a line which passes through (9, - 13) and is perpendicular to a line with an undefined slope. Express in both slope-intercept form and standard form (if possible).

Given the function f(x) = sqrt(x), what is the domain expressed in interval notation?

What is the range of the constant function f(x) = 7?

Which of the following is NOT a basic type of transformation?

Given the two functions $f$ and $g$, find $fg$ and identify the domain.

$f\left(x\right)=71x-2$, $g\left(x\right)=x+10$

If f(x) = 2x + 3, what is f(5)?

What is the domain of the quadratic function f(x) = -x² + 4x - 7?