Question 1

Simplify the following expression using the order of operations: $$-12 + 6 	imes (-4)^2$ - 6 \div 3 + 6^2$ - 6 	imes 4$$

Accepted Answer

$$102$$

Question 2

Which of the following is the solution to the equation $$6(x+5) - 2x = 8x$$?

Accepted Answer

$$x = 0$$

Question 3

Given the points $$(2, 5)$$ and $$(6, 5)$$, what is the slope of the line passing through them?

Accepted Answer

$$m = 0$$

Question 4

Which of the following equations represents a line perpendicular to $$y = \frac{1}{2}x + 3$$?

Accepted Answer

$$y = -2x + 1$$

Question 5

Simplify the expression: $$\frac{x^7$}{x^4$}$$

Accepted Answer

$$x^3$$

Question 6

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

Accepted Answer

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

Question 7

A storage space costs $$78$$ dollars per month plus a one-time fee of $$100. $$Which equation models the total cost $$C$$ for $$x$$ months?

Accepted Answer

$$C = 78x + 100$$

Question 8

Solve for $$x$$: $$9 - 5x = x + 3$$

Accepted Answer

$$x = 1$$

Question 9

Which of the following is an equation, not an expression?

Accepted Answer

$$x^2 - 2x = 4$

Question 10

A positive number expressed in the form $$a 	imes 10^n$$, where $$1 \leq a \u003c 10$$ and $$n is an $$integer, is said to be written in:

Accepted Answer

Scientific notation

Question 11

Simplify the expression and write with positive exponents: $$(-7x^4y$$^{-2}$$)^2$$

Accepted Answer

$$49x^8y$$^{-4}$

Question 12

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

Accepted Answer

$$f(-2) = 15$$

Question 13

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

Accepted Answer

$$x = -2$$

Question 14

Which of the following is the correct simplification of $$\frac{(-4x^3$y^2)^2$}{8x^4$y}$$?

Accepted Answer

$$2x^2y^3$

Question 15

Which of the following is the solution to $$x^2 = 13x + 64$?

Accepted Answer

$$x = 16 or$$ $$x = -4$$

Question 16

A student paid a total of $$1241$$ for tuition and lab fees for last semester. Tuition for that semester costs $$566$$ more than the lab fees. How much did the lab fees cost?

Accepted Answer

$$335$$

Question 17

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

Accepted Answer

$$(d-x)(d+x+1)$$

Question 18

Which of the following is the correct simplification of $$\frac{x$$^{12}$$}{x^4$}$$?

Accepted Answer

$$x^8$$

Question 19

Which of the following is the correct solution to $$x^2 - 13x = 130$?

Accepted Answer

$$x = 20 or$$ $$x = -7$$

Question 20

Which of the following is the correct simplification of $$\frac{(-4x^3$y^2)^2$}{8x^4$y}$$?

Accepted Answer

$$2x^2y^3$

College Algebra Final Review: Key Concepts and Practice

Study Guide - Practice Questions

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