Question 1

Which of the following is the correct solution to the equation $$2x - 5 = 13$$?

Accepted Answer

$$x = 9$$

Question 2

A chemist mixes a solution that is 30% salt with another that is 50% salt to make 10 liters of a 40% salt solution. How many liters of the 50% solution should be used?

Accepted Answer

$$5$$

Question 3

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

Accepted Answer

$$(x - 3)(x + 3)$$

Question 4

A car rental company charges a flat fee of $$\25$ plus $$\$$0.20$$ per mile driven. If a customer is charged $$\65$, how many miles did they drive?

Accepted Answer

$$200$$

Question 5

Which of the following is the solution set for the inequality $$3x + 7 \u003c 16$$?

Accepted Answer

$$x \u003c 3$$

Question 6

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

Accepted Answer

$$17$$

Question 7

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

Accepted Answer

$$4000$$

Question 8

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

Accepted Answer

$$x = 3$$

Question 9

A medication is administered at a rate that decreases by 10% each hour. If the initial dose is 200 mg, how much remains after 3 hours?

Accepted Answer

$$162$$

Question 10

Which of the following is the correct graph for the equation $$y = -2x + 5$$?

Accepted Answer

A line with slope $$-2$$ and $$y-$$intercept $$5$$

Question 11

A triangle has sides of lengths $$x$$, $$x+2$$, and $$x+4. If $$the perimeter is $$24$$, what is the length of the shortest side?

Accepted Answer

$$6$$

Question 12

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

Accepted Answer

$$(4, 3)$$

Question 13

A patient’s temperature in degrees Celsius is modeled by $$T(t) = 37 + 2\sin(\frac{\pi}{12}t)$$, where $$t is $$hours after midnight. What is the maximum temperature during the day?

Accepted Answer

$$39$$

Question 14

Which of the following is the correct simplification of $$\frac{2x^2$y}{4xy^2$}$$?

Accepted Answer

$$\frac{x}{2y}$$

Question 15

A company’s profit $$P (in $$thousands of dollars) is given by $$P(x) = -x^2$ + 6x - 5$$, where $$x is $$the number of units sold (in thousands). What is the maximum profit?

Accepted Answer

$$13$$

Question 16

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

Accepted Answer

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

Question 17

A medication is prescribed to be taken every 8 hours. If a patient starts at 6:00 AM, at what time will the fourth dose be taken?

Accepted Answer

10:00 PM

Question 18

Which of the following is the correct solution to the rational equation $$\frac{1}{x} + \frac{1}{2} = 1$$?

Accepted Answer

Question 19

A patient’s heart rate is modeled by $$H(t) = 70 + 10\cos(\frac{\pi}{6}t)$$, where $$t is $$time in hours. What is the minimum heart rate?

Accepted Answer

$$60$$

College Algebra Syllabus and Course Overview – Fall 2025

Guida di studio - Domande di pratica

Study guide - Flashcard