Question 1

Which of the following is the correct simplification of $$\dfrac{x^7$y^3$$}{$$(x^2y^3$)^2$$} \cdot $$x^{10}y^2$?

Accepted Answer

$$\dfrac{x$$^{13}$$}{y^2$}$$

Question 2

A landscaping business purchased a new mower for $$12,000. Five years later it is worth 8$$,000. Which linear function $$V(t)$$ represents the value of the mower after $$t$$ years?

Accepted Answer

$$V(t) = -800t + 12,000$$

Question 3

Simplify $$\dfrac{3\sqrt{3}}{\sqrt{75}}.$$

Accepted Answer

$$\dfrac{3}{5}$$

Question 4

Solve the equation $$2x^2 - 24x$$ = $$2x^2 - 24x = 24$ for x$.

Accepted Answer

$$x = 1 or$$ $$x = 8$$

Question 5

Which of the following is the correct factorization of $$4x^2 + 11x + 6$?

Accepted Answer

$$(4x + 3)(x + 2)$$

Question 6

Given $$f(x) = 3x + 5$$, what is $$f(4)$$?

Accepted Answer

$$17$$

Question 7

Solve the equation $$x^2 - 4x + 3$$ \u003e 0$$.

Accepted Answer

$$(-\infty, 1) \cup (3, \infty)$$

Question 8

Which of the following is the correct solution to $$\sqrt{25x^2$} = 20$$?

Accepted Answer

$$x = \pm 4$$

Question 9

What is the slope of the line represented by the equation $$y = -3x + 1$$?

Accepted Answer

$$-3$$

Question 10

Given $$f(x) = x^2$ + 4x$$, find $$f(4).$$

Accepted Answer

$$32$$

Question 11

Which of the following is the correct solution to $$\sqrt{10x} = x$$?

Accepted Answer

$$x = 10$$

Question 12

What is the $$y-$$intercept of the linear function $$V(t) = -800t + 12,000$$?

Accepted Answer

$$12,000$$

Question 13

Which of the following is the correct simplification of $$\dfrac{2x^7$y^2$$}{$$3x^4y^3$} \cdot 3x^4$y^2$?

Accepted Answer

$$2x^7y$

Question 14

Solve the quadratic equation $$7m^2 - 10m + 4 = 0$ using the quadratic formula.

Accepted Answer

$$m = \dfrac{5 \pm \sqrt{33}}{7}$$

Question 15

Which of the following is the correct solution to $$|x - 7| = 9$$?

Accepted Answer

$$x = 16 or$$ $$x = -2$$

Question 16

Given $$f(x) = 3x + 5$$, what is $$f(10)$$?

Accepted Answer

$$43$$

Question 17

Which of the following is the correct solution to $$x^2 - 5$$|x| = 6$$?

Accepted Answer

$$x = 6 or$$ $$x = -1$$

Question 18

Which of the following is the correct simplification of $$\sqrt{108x^5$}$$?

Accepted Answer

$$6x^2$$\sqrt{3x}$$

Question 19

Which of the following is the correct solution to $$x^2 - 4x + 3 = 0$?

Accepted Answer

$$x = 1 or$$ $$x = 3$$

Comprehensive Study Guide: College Algebra Essentials

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