Question 1

Which of the following best describes the domain of the function $$f(x) = \sqrt{x-3}$$?

Accepted Answer

$$[3, \infty)$$

Question 2

Given the function $$f(x) = 2x^2$ - 5x + 3$$, what is the $$y-$$intercept of its graph?

Accepted Answer

$$(0, 3)$$

Question 3

Which of the following equations represents a line parallel to $$y = 4x - 7$$?

Accepted Answer

$$y = 4x + 2$$

Question 4

Solve the equation $$2^{x+1} = 16$ for x$.

Accepted Answer

$$x = 3$$

Question 5

Which of the following is the inverse of the function $$f(x) = 3x + 2$$?

Accepted Answer

$$f^{-1}(x$$) = \frac{x-2}{3}$$

Question 6

A population of bacteria triples every 4 hours. If the initial population is 200, which equation models the population $$P$$ after $$t$$ hours?

Accepted Answer

$$P = 200 \cdot 3$$^{t/4}$$

Question 7

Which of the following is a solution to the equation $$|2x - 5| = 7$$?

Accepted Answer

$$x = 6$$ and $$x = -1$$

Question 8

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

Accepted Answer

$$9$$

Question 9

Which of the following is the correct solution to the system of equations: $$\begin{cases} 2x + 3y = 7 \ x - y = 1 \end{cases}$$?

Accepted Answer

$$(2, 1)$$

Question 10

Which of the following is the sum of the geometric series $$2 + 6 + 18 + 54$$?

Accepted Answer

$$80$$

Question 11

A quadratic function models the height $$h (in $$meters) of a ball $$t$$ seconds after it is thrown: $$h(t) = -4.9t^2$ + 20t + 1.5. $$What is the maximum height reached by the ball?

Accepted Answer

$$21.9$$ meters

Question 12

Which of the following is the correct factorization of $$x^2 - 5x + 6$?

Accepted Answer

$$(x-2)(x-3)$$

Question 13

Which of the following is the correct solution to the inequality $$3x - 7 \u003c 2x + 5$$?

Accepted Answer

$$x \u003c 12$$

Question 14

If $$\log_2$(x) = 5$$, what is the value of $$x$$?

Accepted Answer

$$32$$

Question 15

Which of the following is the sum of the arithmetic series $$5 + 8 + 11 + ... + 29$$?

Accepted Answer

$$119$$

College Algebra (MATH 1314) Syllabus and Course Overview

Study Guide - Practice Questions

Study Guide - Flashcards