Q: A medical researcher uses the formula $$A = P(1 + rt) to $$calculate the amount of a drug in the bloodstream after $$t$$ hours. If $$P = 100 mg$$, $$r = 0.05$$, and $$t = 4$$, what is $$A$$?

$$A = 100(1 + 0.05 \times 4) = 120$$

Question 1

Which of the following best describes the main focus of MAT 035: Concepts of Algebra at Central Piedmont Community College?

Accepted Answer

A course emphasizing application and analysis of algebraic concepts, including rational/radical expressions, equations, inequalities, functions, factoring, and exponents.

Question 2

A student is solving the equation $$2x^2 - 8 = 0$ as part of their MAT 035 coursework. What is the correct solution?

Accepted Answer

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

Question 3

Which of the following is a correct application of the distributive property, a key algebraic concept emphasized in MAT 035?

Accepted Answer

$$3(x + 4) = 3x + 12$$

Question 4

A real-world scenario: A chemist mixes two solutions, one with a concentration of $$x$$ and another with a concentration of $$2x. If $$the total concentration must be $$12$$, which equation models this situation?

Accepted Answer

$$x + 2x = 12$$

Question 5

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

Accepted Answer

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

Question 6

A student is asked to solve the inequality $$3x - 5 \u003e 10. $$What is the correct solution?

Accepted Answer

$$x \u003e 5$$

Question 7

Which of the following best describes a function, as covered in MAT 035?

Accepted Answer

A relation where each input has exactly one output.

Question 8

If $$f(x) = 2x + 3$$, what is $$f(4)$$?

Accepted Answer

$$11$$

Question 9

A medical researcher uses the formula $$A = P(1 + rt) to $$calculate the amount of a drug in the bloodstream after $$t$$ hours. If $$P = 100 mg$$, $$r = 0.05$$, and $$t = 4$$, what is $$A$$?

Accepted Answer

$$A = 100(1 + 0.05 	imes 4) = 120$$

Question 10

Which of the following is the correct simplification of the radical expression $$\sqrt{50}$$?

Accepted Answer

$$5\sqrt{2}$$

Question 11

A student is asked to solve the equation $$\frac{2}{x} = 8. $$What is the correct value of $$x$$?

Accepted Answer

Question 12

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

Accepted Answer

$$x = -3$$

Question 13

A business owner wants to split $$1200$$ equally among $$x$$ employees. Which equation represents the amount each employee receives?

Accepted Answer

$$\frac{1200}{x}$$

Question 14

Which of the following is the correct simplification of the expression $$2x^2$$ + $$3x^2$$?

Accepted Answer

$$5x^2$$

Question 15

A student is asked to solve the equation $$5(x - 2) = 15. $$What is the correct value of $$x$$?

Accepted Answer

$$x = 5$$

Question 16

Which of the following is the correct solution to the inequality $$2x + 7 \leq 15$$?

Accepted Answer

$$x \leq 4$$

Question 17

A student is asked to simplify the expression $$\frac{3x}{6x^2$}. $$What is the correct simplification?

Accepted Answer

$$\frac{1}{2x}$$

Question 18

Which of the following is the correct solution to the equation $$x^2 = 25$?

Accepted Answer

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

Question 19

A student is asked to evaluate $$2^3$$ 	imes $$2^2. $$What is the correct answer?

Accepted Answer

$$2^5 = 32$

MAT 035: Concepts of Algebra – Course Syllabus and Overview

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