Question 1

Which of the following is the correct definition of a function?

Accepted Answer

A relation in which every input is paired with exactly one output.

Question 2

Given the quadratic equation $$x^2 - 6x + 8 = 0$, what are its solutions?

Accepted Answer

$$x = 2$$ and $$x = 4$$

Question 3

Which of the following is the correct formula for the vertex of a parabola given by $$y = ax^2$ + bx + c$$?

Accepted Answer

$$x = -\frac{b}{2a}$$

Question 4

A population of bacteria doubles every 3 hours. If the initial population is 500, what will the population be after 9 hours?

Accepted Answer

$$4000$$

Question 5

Which of the following is the correct expression for the sum of a geometric series with first term $$a$$ and common ratio $$r$$ for $$n$$ terms?

Accepted Answer

$$S_n = a \frac{1 - r^n}{1 - r}$$

Question 6

If $$f(x) = 2x + 3$$ and $$g(x) = x^2$, what is (f$$ \circ g)(2)$$?

Accepted Answer

$$7$$

Question 7

Which of the following is the correct domain for the function $$f(x) = \frac{1}{x-5}$$?

Accepted Answer

All real numbers except $$x = 5$$

Question 8

Solve the inequality $$2x - 5 \u003e 7.$$

Accepted Answer

$$x \u003e 6$$

Question 9

Which of the following is the correct inverse of the function $$f(x) = 3x - 4$$?

Accepted Answer

$$f^{-1}(x$$) = \frac{x + 4}{3}$$

Question 10

A ball is thrown upward with an initial velocity of $$20 m/s $$from a height of $$2 m. $$Its height after $$t$$ seconds is given by $$h(t) = -4.9t^2$ + 20t + 2. $$What is the maximum height reached by the ball?

Accepted Answer

$$22.41 m$$

Question 11

Which of the following is the correct solution to the system of equations: $$\begin{cases} 2x + y = 7 \ x - y = 1 \end{cases}$$?

Accepted Answer

$$x = 2, y = 3$$

Question 12

Which of the following is the correct equation for a circle with center $$(2, -3)$$ and radius $$5$$?

Accepted Answer

$$(x - 2)^2$ + (y + 3)^2$ = 25$$

Question 13

Which of the following is the correct expression for the compound interest formula?

Accepted Answer

$$A = P(1 + \frac{r}{n}$$)^{nt}$$

Question 14

If $$f(x) = x^2$ and g(x) = x + 1$, what is (f + g)(3$$)$$?

Accepted Answer

$$13$$

Question 15

Which of the following is the correct solution for $$\log_2$ x = 5$$?

Accepted Answer

$$x = 32$$

Question 16

Which of the following is the correct equation for the line passing through $$(1,2)$$ with slope $$3$$?

Accepted Answer

$$y - 2 = 3(x - 1)$$

Question 17

Which of the following is the correct solution to $$|2x - 3| = 7$$?

Accepted Answer

$$x = 5 or$$ $$x = -2$$

Question 18

Which of the following is the correct expression for the difference quotient of $$f(x) = x^2$?

Accepted Answer

$$\frac{(x + h)^2$ - x^2$}{h}$$

Question 19

Which of the following is the correct solution to the exponential equation $$3^x = 81$$?

Accepted Answer

$$x = 4$$

Question 20

Which of the following is the correct expression for the sum of the first $$n$$ positive integers?

Accepted Answer

$$\frac{n(n+1)}{2}$$

Math 130 College Algebra Syllabus – Key Topics and Study Guide

Guida di studio - Domande di pratica

Study guide - Flashcard