Question 1

Which of the following is the correct order of operations to simplify the expression $$2 + 3 	imes (4^2$ - 6)$$?

Accepted Answer

First exponentiate, then subtract, then multiply, then add.

Question 2

A chemist mixes two solutions. The first solution contains $$x$$ grams of salt per liter, and the second contains $$2x$$ grams per liter. If she mixes $$3$$ liters of the first with $$2$$ liters of the second, which expression represents the total grams of salt in the mixture?

Accepted Answer

$$3x + 2 	imes 2x$$

Question 3

Which of the following is a prime number?

Accepted Answer

$$17$$

Question 4

Simplify the expression $$\sqrt{50} - 2\sqrt{2}.$$

Accepted Answer

$$5\sqrt{2} - 2\sqrt{2} = 3\sqrt{2}$$

Question 5

A quadratic function models the height $$h (in $$meters) of a ball thrown upward after $$t$$ seconds: $$h(t) = -5t^2$ + 20t + 2. $$What is the maximum height the ball reaches?

Accepted Answer

$$22$$ meters, reached at $$t = 2$$ seconds$

Question 6

Which of the following is the factored form of $$x^2 - 9$?

Accepted Answer

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

Question 7

If $$f(x) = 2x - 5$$, what is the value of $$f(4)$$?

Accepted Answer

$$8 - 5 = 3$$

Question 8

Which of the following describes the domain of the function $$g(x) = \frac{1}{x-2}$$?

Accepted Answer

All real numbers except $$x = 2$$

Question 9

A company’s profit $$P (in $$dollars) from selling $$x$$ units is given by $$P(x) = -2x^2$ + 40x - 100. $$For what number of units sold is the profit maximized?

Accepted Answer

$$x = 10$$

Question 10

Which of the following is equivalent to $$\frac{2x^2$ - 8}{2x}$$ for $$x 
eq 0$$?

Accepted Answer

$$x - \frac{4}{x}$$

Question 11

A student is graphing the line $$y = -3x + 6. $$What is the $$y-$$intercept of this line?

Accepted Answer

$$6$$

Question 12

Which of the following is the solution set for the equation $$x^2 - 4x = 0$?

Accepted Answer

$$x = 0 or$$ $$x = 4$$

Question 13

A rectangular garden has a length that is $$3$$ meters more than twice its width $$w. $$Which expression represents the perimeter of the garden?

Accepted Answer

$$2(2w + 3) + 2w = 6w + 6$$

Question 14

Which of the following is the simplified form of $$(3x^2y)(2xy^3$)$?

Accepted Answer

$$6x^3y^4$

Question 15

If $$h(x) = x^2$ - 6x + 8$$, for which value of $$x$$ does $$h(x)$$ reach its minimum?

Accepted Answer

$$x = 3$$

Question 16

A patient’s medication dosage $$D (in mg) is $$modeled by $$D = 0.1w$$, where $$w is $$the patient’s weight in pounds. If a patient weighs $$150$$ pounds, what is the correct dosage?

Accepted Answer

$$15 mg$$

Question 17

Which of the following is the correct solution to the inequality $$2x - 5 \u003e 7$$?

Accepted Answer

$$x \u003e 6$$

Question 18

A function $$f is $$defined by $$f(x) = x^2$ + 2x + 1. $$Which of the following statements is true?

Accepted Answer

$$f(x) is a $$quadratic function with vertex at $$(-1, 0).$$

Question 19

Which of the following best describes the range of the function $$f(x) = x^2$?

Accepted Answer

All real numbers $$x \geq 0$$

Question 20

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

Accepted Answer

$$C = 25 + 0.2m$$

Towson University MATH 102: Intermediate Algebra Syllabus and Course Overview

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