Question 1

Which of the following is the correct solution to the equation $$2x - 5 = 9$$?

Accepted Answer

$$x = 7$$

Question 2

A chemist is diluting a solution and models the concentration $$C (in mg/L) $$after $$t$$ hours by $$C = 100e$$^{-0.3t}$$. What is the concentration after 5 hours? (Round to the nearest mg/L)

Accepted Answer

$$C \approx 22$$

Question 3

Which of the following is the correct factorization of $$x^2 - 9x + 20$?

Accepted Answer

$$(x - 4)(x - 5)$$

Question 4

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

$$P = 200 	imes 3$$^{t/4}$$

Question 5

Which of the following is the solution set for the inequality $$2x + 3 \u003c 7$$?

Accepted Answer

$$x \u003c 2$$

Question 6

Given the function $$f(x) = 2x^2$ - 3x + 1$$, what is $$f(-2)$$?

Accepted Answer

$$f(-2) = 15$$

Question 7

A ball is thrown upward from the ground with an initial velocity of 32 ft/s. Its height $$h (in $$feet) after $$t$$ seconds is given by $$h = -16t^2$ + 32t. $$When does the ball hit the ground?

Accepted Answer

$$t = 2$$ seconds

Question 8

Which of the following is equivalent to $$\log_{2} 32$$?

Accepted Answer

$$5$$

Question 9

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

Accepted Answer

$$9$$

Question 10

A car's value depreciates exponentially according to $$V = 20000(0.85)^t$$, where $$t is $$the number of years after purchase. What is the value after 3 years? (Round to the nearest dollar)

Accepted Answer

$$V \approx 12253$$

Question 11

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

Accepted Answer

$$x = -3$$

Question 12

Simplify the expression $$\dfrac{2x^2$y}{4xy^2$}$$ for $$x 
eq 0, y 
eq 0.$$

Accepted Answer

$$\dfrac{x}{2y}$$

Question 13

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

Accepted Answer

$$x = 3 or$$ $$x = -\dfrac{5}{3}$$

Question 14

A radioactive substance decays according to $$A = A_0$ e$$^{-0.05t}$$, where A_0$ is the initial amount and t$ is in years. What is the half-life of the substance? (Round to the nearest year)

Accepted Answer

$$t \approx 14$$

Question 15

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

Accepted Answer

$$x 
eq 4$$

Question 16

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

Accepted Answer

$$19$$

Question 17

Which of the following is the solution to the equation $$\dfrac{3}{x} = 6$$?

Accepted Answer

$$x = 0.5$$

Question 18

A medication is administered so that its concentration in the bloodstream decreases by 20% every hour. If the initial concentration is 50 mg/L, what is the concentration after 3 hours?

Accepted Answer

$$25.6 mg/L$$

Question 19

Which of the following is the correct solution to the system of equations: $$\begin{cases} x + y = 5 \ x - y = 1 \end{cases}$$?

Accepted Answer

$$x = 3, y = 2$$

Question 20

Which of the following is the correct simplified form of $$\sqrt{50}$$?

Accepted Answer

$$5\sqrt{2}$$

College Algebra Study Guide: Key Topics and Concepts

Guida di studio - Domande di pratica

Study guide - Flashcard