MATH 110 Module 2 Exam Practice Questions

Find the x-intercept of the line 2x + 3y = 6.

Determine the value of the determinant for the matrix [[1, 2], [3, 4]].

What is the equation of a circle with center (0, 0) and radius 5?

Differentiate the function f(x) = sin(x).

Solve the inequality: 5x - 7 > 3.

What is the sum of the first 10 positive integers?

Find the area under the curve f(x) = x from x = 0 to x = 3.

Simplify the expression: (x^2 - 4(x + 2).

What is the midpoint of the line segment joining (1, 4) and (5, 8)?

Evaluate the expression: 3^2 * 3^3.

Find the inverse of the function f(x) = 3x + 1.

Calculate the standard deviation of the data set: .

What is the probability of rolling a sum of 7 with two six-sided dice?

Simplify the radical expression: √(50).

What is the equation of the line parallel to y = 2x + 3 and passing through the point (1, 2)?

Factor the quadratic expression x^2 - 5x + 6.

Differentiate the function f(x) = e^x.

Solve the system of equations: 2x + y = 10 and x - y = 2.

What is the coefficient of x^3 in the expansion of (x + 2)^5?

Find the length of the hypotenuse in a right triangle with legs of length 3 and 4.

Simplify the expression: (x^2 - 1(x - 1) for x ≠ 1.

Evaluate the definite integral from 0 to 2 of f(x) = x^2 dx.

What is the solution to the equation |x - 3| = 5?

Determine the range of the function f(x) = x^2 - 4.

If a function f is continuous on the interval [a, b], what does the Intermediate Value Theorem guarantee?

Simplify the expression: (3x^2y(9xy^2).

Solve for x in the equation: log(x) = 2.

What is the domain of the function f(x) = 1/(x - 2)?

Find the vertex of the parabola defined by y = x^2 - 6x + 8.

Evaluate the expression: 7!

What is the slope of a line perpendicular to the line y = -1/2x + 3?

Solve the quadratic equation x^2 + 4x + 4 = 0.

Differentiate the function f(x) = ln(x).

Calculate the mean of the data set: .

What is the probability of drawing an ace from a standard deck of 52 cards?

Simplify the expression: (x^3)^2.

What is the equation of the line with slope 4 and y-intercept -3?

Factor the polynomial x^2 - 9.

Solve for x: 5^(2x) = 25.

Evaluate the limit: lim (x -> 0) (sin(xx).

What is the equation of the tangent line to the curve y = x^2 at x = 1?

Determine the amplitude of the function f(x) = 3sin(x).

Calculate the variance of the data set: .

What is the probability of flipping a coin and getting heads?

Simplify the expression: (a^2b)(ab^2).

What is the equation of the line that passes through the point (0, 0) and has an undefined slope?

Differentiate the function f(x) = x^4.

Solve the equation: 3^(x+1) = 27.

Evaluate the expression: 2^3 * 2^4.

What is the horizontal asymptote of the function f(x) = 5/(x + 1)?

Find the sum of the infinite geometric series: 1 + 1/2 + 1/4 + 1/8 + ...

What is the derivative of f(x) = cos(x)?

Calculate the median of the data set: .

What is the probability of drawing a red card from a standard deck of 52 cards?

Simplify the expression: (2x)^3.

What is the equation of the line with an undefined slope passing through (3, 5)?