Question 1

Which of the following is NOT an algebraic expression?

Accepted Answer

$$3(14 + 5)$$

Question 2

Evaluate the expression $$2y - x(3 + y)$$ when $$x = 2$$ and $$y = 5.$$

Accepted Answer

$$-8$$

Question 3

Simplify the expression $$-3(5 - x) + 10 - 7x.$$

Accepted Answer

$$-5 - 4x$$

Question 4

Which exponent rule allows you to simplify $$a^m \cdot a^n$$?

Accepted Answer

Product Rule

Question 5

Simplify the expression $$\frac{6x^2$y^3$$}{$$4x^3y^4$}.$$

Accepted Answer

$$\frac{3}{2} \cdot \frac{x$$^{-1}$$y^{-1}$$}{1}$

Question 6

Evaluate $$\sqrt{-36}.$$

Accepted Answer

$$6i$$

Question 7

Simplify $$\sqrt{180}.$$

Accepted Answer

$$6\sqrt{5}$$

Question 8

Which of the following is a trinomial?

Accepted Answer

$$2x^2 + 3x + 4$

Question 9

Write $$\sqrt[3]{x^6$} in $$exponential form.

Accepted Answer

$$x^{2}$$

Question 10

Multiply the polynomials $$(x + 2)(x + 3)$$ using the FOIL method.

Accepted Answer

$$x^2 + 5x + 6$

Question 11

Factor the polynomial $$x^2 + 5x + 6$ using the AC method.

Accepted Answer

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

Question 12

Rationalize the denominator of $$\frac{1}{\sqrt{5}}.$$

Accepted Answer

$$\frac{\sqrt{5}}{5}$$

Question 13

Which of the following is NOT a polynomial?

Accepted Answer

$$2x^{-1} + 5$

Question 14

Factor $$x^2 - 9$ using a special product formula.

Accepted Answer

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

Question 15

Simplify $$\sqrt{8x^3$}$$ assuming $$x is $$positive.

Accepted Answer

$$2x\sqrt{2x}$$

Question 16

Add the radical expressions $$3\sqrt{7} + 2\sqrt{7} - \sqrt{7}.$$

Accepted Answer

$$4\sqrt{7}$$

Question 17

Multiply $$(x + 5)(x - 5)$$ using a special product formula.

Accepted Answer

$$x^2 - 25$

Question 18

Factor $$4x^2 - 19x + 12$ using the AC method.

Accepted Answer

$$(4x - 3)(x - 4)$$

Question 19

Which of the following is the correct simplification for $$\frac{\sqrt{50}}{\sqrt{2}}$$?

Accepted Answer

$$5$$

College Algebra Essentials: Fundamental Concepts of Algebra (Ch. P) Study Guide

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