$$\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$$

Question 1

Which of the following is the correct simplification of the expression $$4x + 6 - 2(x + 2)$$?

Accepted Answer

$$2x + 2$$

Question 2

If $$x^3$$ 	imes $$x^2 is $$simplified using exponent rules, what is the result?

Accepted Answer

$$x^5$$

Question 3

Which of the following is the correct solution to the equation $$2(x - 3) = 0$$?

Accepted Answer

$$x = 3$$

Question 4

Given the system of equations $$y = 2x$$ and $$2x + y = 6$$, what is the value of $$x$$?

Accepted Answer

$$x = 2$$

Question 5

What is the slope of the line passing through the points $$(2, 3)$$ and $$(5, 11)$$?

Accepted Answer

$$rac{8}{3}$$

Question 6

Which of the following is the quadratic formula used to solve $$ax^2 + bx + c = 0$?

Accepted Answer

$$x = \frac{-b \pm \sqrt{b^2$ - 4ac}}{2a}$$

Question 7

If $$y is $$directly proportional to $$x$$ and $$y = 10$$ when $$x = 5$$, what is $$y$$ when $$x = 8$$?

Accepted Answer

$$y = 16$$

Question 8

Which trigonometric function is defined as $$\frac{	ext{opposite}}{	ext{hypotenuse}} in a $$right triangle?

Accepted Answer

$$\sin(	heta)$$

Question 9

What is the derivative of $$f(x) = x^3$?

Accepted Answer

$$f'(x) = 3x^2$

Question 10

Which of the following represents the area under the curve $$f(x)$$ from $$x_0 to$$ $$x_1$$?

Accepted Answer

$$\int_{x_0$}^{x_1$} f(x) dx$$

Question 11

If $$y is $$inversely proportional to $$x$$ and $$y = 4$$ when $$x = 2$$, what is $$y$$ when $$x = 8$$?

Accepted Answer

$$y = 1$$

Question 12

Which equation correctly expresses the Pythagorean Theorem?

Accepted Answer

$$a^2$$ + $$b^2$$ = $$c^2$$

Question 13

A function $$f(x)$$ has a tangent line at $$x = 2$$ with a slope of $$5. $$What is $$f'(2)$$?

Accepted Answer

$$5$$

Question 14

If $$f(x) = x^2$, what is the definite integral $$\$$int_0^2$$ $$x^2 dx$?

Accepted Answer

$$\frac{8}{3}$$

Question 15

Which of the following is the correct rule for multiplying exponents with the same base?

Accepted Answer

$$x^a 	imes x^b = x$$^{a+b}$$

Question 16

If the equation of a line is $$y = 3x - 2$$, what is the $$y-$$intercept?

Accepted Answer

$$-2$$

Question 17

Which of the following is the correct expression for the tangent of an angle in a right triangle?

Accepted Answer

$$	an(	heta) = \frac{	ext{opposite}}{	ext{adjacent}}$$

Question 18

If $$f(x) = x^2$, what is the derivative f$$'(x)$$?

Accepted Answer

$$2x$$

Question 19

Which of the following is the correct integral of $$f(x) = x^n$$ with respect to $$x$$?

Accepted Answer

$$\int x^n dx = \frac{x$$^{n+1}$$}{n+1} + C$$

Question 20

If $$F = ma$$ and $$m is $$held constant, what happens to $$F if$$ $$a is $$doubled?

Accepted Answer

$$F is $$doubled

Mathematical Operations and Functions: Pre-Course Math Review for General Chemistry

Study Guide - Practice Questions