Question 1

Which of the following best describes the main purpose of the course MAT 0028 Developmental Mathematics II at Pensacola State College?

Accepted Answer

To develop algebra skills needed for success in MAT 1033, including signed numbers, polynomials, equations, and graphing.

Question 2

Which of the following is the correct order of operations for evaluating the expression $$8 - 2 	imes (3 + 5)^2$?

Accepted Answer

Parentheses, Exponents, Multiplication, Subtraction

Question 3

A chemist mixes two solutions. The first solution contains $$x$$ liters of acid and the second contains $$2x + 3$$ liters. If the total mixture is $$15$$ liters, which equation represents this scenario?

Accepted Answer

$$x + 2x + 3 = 15$$

Question 4

Which of the following is the simplified form of the expression $$3(x + 4) - 2x$$?

Accepted Answer

Question 5

Which of the following is the solution to the equation $$2x - 5 = 11$$?

Accepted Answer

$$x = 8$$

Question 6

A patient’s medication dosage is calculated using the formula $$d = \frac{mg}{kg} 	imes w$$, where $$d is $$the dose, $$mg/kg is $$the milligrams per kilogram, and $$w is $$the patient’s weight in kilograms. If a doctor prescribes $$5 mg/kg $$for a $$60 kg $$patient, what is the total dose?

Accepted Answer

$$d = 5 	imes 60 = 300$$

Question 7

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

Accepted Answer

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

Question 8

Simplify the expression $$\frac{2x^2$y}{4xy^2$}.$$

Accepted Answer

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

Question 9

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

Accepted Answer

$$x \u003c 12$$

Question 10

A car rental company charges a flat fee of $$\25$ plus $$\$$0.20$$ per mile driven. Which equation represents the total cost $$C$$ for driving $$m$$ miles?

Accepted Answer

$$C = 25 + 0.20m$$

Question 11

Which of the following is the correct graph of the equation $$y = 2x - 3$$?

Accepted Answer

A straight line with slope $$2$$ and $$y-$$intercept $$-3$$

Question 12

Simplify the radical expression $$\sqrt{50}.$$

Accepted Answer

$$5\sqrt{2}$$

Question 13

Which of the following is the correct scientific notation for $$0.00056$$?

Accepted Answer

$$5.6 	imes 10$$^{-4}$$

Question 14

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

Accepted Answer

$$-1$$

Question 15

Which of the following is the result of multiplying $$(x + 2)(x - 5)$$?

Accepted Answer

$$x^2 - 3x - 10$

Question 16

A rectangle has a length of $$(2x + 3)$$ units and a width of $$(x - 1)$$ units. Which expression represents its area?

Accepted Answer

$$(2x + 3)(x - 1)$$

Question 17

Which of the following is the simplified form of $$\frac{3}{4} + \frac{2}{3}$$?

Accepted Answer

$$\frac{17}{12}$$

Question 18

Which of the following is the greatest common factor (GCF) of $$18x^2y$ and 24xy^2$?

Accepted Answer

$$6xy$$

Question 19

If $$x = -2$$, what is the value of $$|x| + x$$?

Accepted Answer

$$0$$

Question 20

Which of the following is the correct solution to the quadratic equation $$x^2 + 5x + 6 = 0$?

Accepted Answer

$$x = -2 or$$ $$x = -3$$

Developmental Mathematics II (MAT 0028) Syllabus Study Guide

스터디 가이드 - 연습 문제

학습 가이드 - 플래시카드