Question 1

Which of the following is the correct simplification of the expression $$2(x + 3) - 4x + 5$$?

Accepted Answer

$$2x + 6 - 4x + 5 = -2x + 11$$

Question 2

Solve for $$x in $$the equation $$3x - 7 = 2x + 5.$$

Accepted Answer

$$x = 12$$

Question 3

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

Accepted Answer

$$5\sqrt{2}$$

Question 4

A company’s profit $$P is $$given by $$P = 5x - 200$$, where $$x is $$the number of units sold. What is the minimum number of units that must be sold for the company to make a profit?

Accepted Answer

$$x \u003e 40$$

Question 5

Which of the following is the solution set for the inequality $$2x - 3 \u003e 7$$?

Accepted Answer

$$x \u003e 5$$

Question 6

What is the slope of the line passing through the points $$(2, 3)$$ and $$(5, 15)$$?

Accepted Answer

$$m = 4$$

Question 7

Which of the following is the correct factorization of $$x^2 - 5x + 6$?

Accepted Answer

$$(x - 2)(x - 3)$$

Question 8

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

Accepted Answer

$$f(-2) = 15$$

Question 9

Which of the following values of $$x$$ makes the rational expression $$\frac{3}{x-4}$$ undefined?

Accepted Answer

$$x = 4$$

Question 10

Solve the quadratic equation $$x^2 - 4x - 5 = 0$ by factoring.

Accepted Answer

$$x = 5 or$$ $$x = -1$$

Question 11

Which of the following is the correct application of the exponent rule $$(a^m)(a^n) = a$$^{m+n}$$ for a^3$ \cdot a^5$?

Accepted Answer

$$a^8$$

Question 12

A circle has the equation $$(x - 2)^2$ + (y + 3)^2$ = 16. $$What is the center and radius of the circle?

Accepted Answer

Center: $$(2, -3)$$, Radius: $$4$$

Question 13

Which of the following is the correct solution to the equation $$\sqrt{x + 5} = 3$$?

Accepted Answer

$$x = 4$$

Question 14

Which of the following is the correct interval notation for the solution set of $$x \geq -2$$?

Accepted Answer

$$[-2, \infty)$$

Question 15

If $$z = 3 + 4i$$ and $$w = 1 - 2i$$, what is $$z + w$$?

Accepted Answer

$$4 + 2i$$

Question 16

Which of the following is the degree of the polynomial $$4x^3$$ - $$2x^2 + 7x - 5$?

Accepted Answer

$$3$$

Question 17

Which of the following is the leading coefficient of the polynomial $$-7x^4$$ + $$3x^2 - x + 8$?

Accepted Answer

$$-7$$

Question 18

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

Accepted Answer

$$C = 25 + 0.2x$$

Question 19

Which of the following is the correct solution to the equation $$2(x - 3) = 4x + 6$$?

Accepted Answer

$$x = -6$$

Math 030 College Algebra Corequisite Course Syllabus Study Guide

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