Question 1

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

Accepted Answer

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

Question 2

A ball is thrown upward with an initial velocity of $32$ ft/s from a height of $48$ ft. Its height after $t$ seconds is given by $h(t) = -16t^2 + 32t + 48$. After how many seconds does the ball reach its maximum height?

Accepted Answer

$ t = 1 $

Question 3

Which of the following is the domain of the function $f(x) = \dfrac{1}{x-4}$?

Accepted Answer

$ (-\infty, 4) \cup (4, \infty) $

Question 4

Solve the equation $2x^2 - 8x = 0$.

Accepted Answer

$ x = 0 $ or $ x = 4 $

Question 5

Which of the following is the correct inverse of the function $f(x) = 3x + 7$?

Accepted Answer

$ f^{-1}(x) = \dfrac{x - 7}{3} $

Question 6

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

Accepted Answer

$ 9 $

Question 7

Which of the following is the solution set for $|2x - 3| = 7$?

Accepted Answer

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

Question 8

A radioactive substance decays according to $A(t) = A_0 e^{-0.2t}$. If the initial amount is $100$ grams, how much remains after $5$ hours? (Round to the nearest gram.)

Question 9

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

Accepted Answer

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

Question 10

Which of the following is equivalent to $\log_2 32$?

Accepted Answer

$ 5 $

Question 11

Solve for $x$: $3^{x} = 81$.

Accepted Answer

$ x = 4 $

Question 12

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

Accepted Answer

$ x = 4, y = 3 $

Question 13

Which of the following is the range of the function $f(x) = \sqrt{x - 2}$?

Accepted Answer

$ [0, \infty) $

Question 14

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

Accepted Answer

$ 19 $

Question 15

Which of the following is the solution to the quadratic equation $x^2 + 6x + 9 = 0$?

Accepted Answer

$ x = -3 $

Question 16

A car's value depreciates exponentially according to $V(t) = 20000e^{-0.15t}$, where $t$ is in years. What is the value after $5$ years? (Round to the nearest dollar.)

Accepted Answer

$ 9440 $

Question 17

Which of the following is the correct solution for $\log_{10} x = 2$?

Accepted Answer

$ x = 100 $

Question 18

Which of the following is the correct equation for the tangent line to the circle $(x - 1)^2 + (y + 2)^2 = 25$ at the point $(6, -2)$?

Accepted Answer

$ x = 6 $

Question 19

Which of the following is the correct solution to $\sqrt{x + 5} = 4$?

Accepted Answer

$ x = 11 $

Question 20

Which of the following is the correct solution to the equation $2^{x} = 1/8$?

Accepted Answer

$ x = -3 $

College Algebra Syllabus and Learning Goals – Baruch College MTH 1030

Study Guide - Practice Questions

Study Guide - Flashcards