Question 1

Which of the following is the correct solution to the equation $$2x^2 - 5x + 3 = 0$?

Accepted Answer

$$x = 1 or$$ $$x = \frac{3}{2}$$

Question 2

A chemist needs to prepare a solution by mixing two solutions: one with 30% acid and one with 10% acid. How many liters of each should be mixed to obtain 20 liters of a 25% acid solution?

Accepted Answer

15 liters of 30% solution and 5 liters of 10% solution

Question 3

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

Accepted Answer

$$x 
eq 4$$

Question 4

A student is analyzing the cost function $$C(x) = 5x + 200$$ for producing $$x$$ units of a product. What is the fixed cost?

Accepted Answer

$$200$$

Question 5

If $$f(x) = 2x^2$ - 3x + 1$$ and $$g(x) = x - 4$$, what is $$(f \circ g)(2)$$?

Accepted Answer

$$3$$

Question 6

A hospital uses the formula $$A = P(1 + rt) to $$calculate the amount $$A$$ after $$t$$ years at a simple interest rate $$r on $$principal $$P. If$$ $$P = 1000$$, $$r = 0.05$$, and $$t = 3$$, what is $$A$$?

Accepted Answer

$$1150$$

Question 7

Which of the following is the solution set for $$|2x - 5| = 7$$?

Accepted Answer

$$x = 6 or$$ $$x = -1$$

Question 8

A medication's concentration in the bloodstream is modeled by $$C(t) = 50e$$^{-0.2t}$$, where t$ is in hours. What is the concentration after 5 hours?

Accepted Answer

$$18.4$$

Question 9

Which of the following is the correct graph for the inequality $$y \u003e 2x - 1$$?

Accepted Answer

A dashed line for $$y = 2x - 1$$ with shading above the line

Question 10

A biologist models population growth with $$P(t) = 1000 \cdot 2^t. $$What is the population after 3 hours?

Accepted Answer

$$8000$$

Question 11

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

Accepted Answer

$$x = 2.67$$, $$y = 4.33$$

Question 12

A nurse needs to dilute a 50% saline solution to obtain 100 mL of a 20% solution. How much 50% solution and pure water should be mixed?

Accepted Answer

40 mL of 50% solution and 60 mL of water

Question 13

Which of the following is the range of the function $$f(x) = x^2$ - 4$$?

Accepted Answer

$$y \geq -4$$

Question 14

A car rental company charges a flat fee of $$\25$ plus $$\$$0.20$$ per mile. If a customer pays $$\45$, how many miles did they drive?

Accepted Answer

$$100$$ miles

Question 15

Which of the following is the solution to $$\log_2$(x) = 5$$?

Accepted Answer

$$x = 32$$

Question 16

A scientist uses the quadratic formula to solve $$x^2 - 6x + 8 = 0$. What are the solutions?

Accepted Answer

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

Question 17

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

Accepted Answer

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

Question 18

A patient’s heart rate is modeled by $$H(t) = 80 + 10\sin(\frac{\pi}{6}t)$$, where $$t is in $$minutes. What is the heart rate at $$t = 6$$ minutes?

Accepted Answer

$$80$$

Question 19

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

Accepted Answer

$$x \u003c 12$$

Question 20

A scientist measures the temperature of a chemical reaction as $$T(t) = 25 + 5t$$, where $$t is in $$minutes. What is the temperature after 8 minutes?

Accepted Answer

$$65$$ degrees

CHEM 1120 Syllabus and Study Guide: Introduction to Chemistry for Non-Science Majors

Guida di studio - Domande di pratica

Study guide - Flashcard